Cover page and artwork designed by Matt Czapanskiy using nine overlaid flatfielded images of Saturn in the FQCH4N-D (methane) filter on WFPC2 (Karkoschka & Koekemoer, p. 315). This program is an example of our new category of Calibration Outsourcing proposals. The 2002 HST Calibration Workshop Hubble After the Installation of the ACS and the NICMOS Cooling System Proceedings of a Workshop held at the Space Telescope Science Institute Baltimore, Maryland October 17 and 18, 2002 Edited by Santiago Arribas, Anton Koekemoer, and Brad Whitmore Published and distributed by the Space Telescope Science Institute 3700 San Martin Drive, Baltimore, MD 21218, USA iii Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Organizing Committee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Participant List . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii ix xi Part 1. ACS Status of the Advanced Camera for Surveys . . . . . . . . . . . . . . . . . . . . . . . 3 M. Clampin, M. Sirianni, J. P. Blakeslee, and R. L. Gilliland Astrometry with the Advanced Camera: PSFs and Distortion in the WFC and HRC 13 J. Anderson ACS Flat Fields and Low-order “L-flat” Corrections from Observations of 47 Tucanae 23 J. Mack, R. C. Bohlin, R. L. Gilliland, R. van der Marel, G. de Marchi, and J. P. Blakeslee On-orbit Sensitivity of ACS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 M. Sirianni, G. de Marchi, R. L. Gilliland, R. C. Bohlin, C. Pavlovsky, and J. Mack The Wavelength Calibration of the WFC Grism . . . . . . . . . . . . . . . . . . . . 38 A. Pasquali, N. Pirzkal, and J. R. Walsh Growth of Hot Pixels and Degradation of CTE for ACS . . . . . . . . . . . . . . . . 47 A. Riess ACS Calibration Software . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 W. B. Sparks The Effect of Velocity Aberration on ACS Image Processing . . . . . . . . . . . . . . 58 C. Cox and R. L. Gilliland Extreme Red Sensitivity of ACS/WFC . . . . . . . . . . . . . . . . . . . . . . . . . . 61 R. L. Gilliland and A. Riess Calibration of Geometric Distortion in the ACS Detectors . . . . . . . . . . . . . . . 65 G. R. Meurer, D. Lindler, J. P. Blakeslee, C. Cox, A. R. Martel, H. D. Tran, R. J. Bouwens, H. C. Ford, M. Clampin, G. F. Hartig, M. Sirianni, and G. de Marchi Drizzling Dithered ACS Images—A Demonstration . . . . . . . . . . . . . . . . . . . 70 M. Mutchler, A. M. Koekemoer, and W. Hack Flat-fielding of ACS WFC Grism Data . . . . . . . . . . . . . . . . . . . . . . . . . . 74 N. Pirzkal, A. Pasquali, and J. R. Walsh Statistical Analysis of ACS Data without Covariance in Errors . . . . . . . . . . . . 78 K. U. Ratnatunga Bias Subtraction and Correction of ACS/WFC Frames . . . . . . . . . . . . . . . . . 82 M. Sirianni, A. R. Martel, M. J. Jee, D. Van Orsow, and W. B. Sparks On-Orbit Performance of the ACS Solar Blind Channel . . . . . . . . . . . . . . . . 86 H. D. Tran, G. R. Meurer, H. C. Ford, A. R. Martel, M. Sirianni, R. C. Bohlin, M. Clampin, C. Cox, G. de Marchi, G. F. Hartig, R. A. Kimble, and V. Argabright Modelling the Fringing of the ACS CCD Detectors . . . . . . . . . . . . . . . . . . . J. R. Walsh, N. Pirzkal, and A. Pasquali 90 iv Contents Part 2. STIS STIS Calibration Status . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 C. R. Proffitt, P. Goudfrooij, T. M. Brown, J. E. Davies, R. I. Diaz-Miller, L. Dressel, J. Kim Quijano, J. Maı́z-Apellániz, B. Mobasher, M. Potter, K. C. Sahu, D. J. Stys, J. Valenti, N. R. Walborn, R. C. Bohlin, P. Barrett, I. Busko, and P. Hodge Correcting STIS CCD Photometry for CTE Loss . . . . . . . . . . . . . . . . . . . . 105 P. Goudfrooij and R. A. Kimble STIS Flux Calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 R. C. Bohlin STIS Echelle Blaze Shift Correction . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 C. W. Bowers and D. Lindler Coronagraphic Imaging with HST and STIS . . . . . . . . . . . . . . . . . . . . . . 137 C. A. Grady, C. R. Proffitt, E. M. Malumuth, B. E. Woodgate, T. R. Gull, C. W. Bowers, S. R. Heap, R. A. Kimble, D. Lindler, and P. Plait The STIS CCD Spectroscopic Line Spread Functions . . . . . . . . . . . . . . . . . . 148 T. R. Gull, D. Lindler, D. Tennant, C. W. Bowers, C. A. Grady, R. S. Hill, and E. M. Malumuth FOS Post-Operational Archive and STIS Calibration Enhancement . . . . . . . . . . 162 M. R. Rosa, A. Alexov, P. Bristow, and F. Kerber Accuracy and Precision of Measuring Emission Line Velocities with the Space Telescope Imaging Spectrograph . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171 T. R. Ayres Modelling Charge Transfer on the STIS CCD . . . . . . . . . . . . . . . . . . . . . . 176 P. Bristow, A. Alexov, F. Kerber, and M. R. Rosa STIS Status after the Switch to Side 2 . . . . . . . . . . . . . . . . . . . . . . . . . . 180 T. M. Brown and J. E. Davies Optimal Extraction with Sub-sampled Line-Spread Functions . . . . . . . . . . . . . 184 N. R. Collins, T. R. Gull, C. W. Bowers, and D. Lindler Recent Improvements to STIS Pipeline Calibration . . . . . . . . . . . . . . . . . . . 189 R. I. Diaz-Miller, J. Kim Quijano, J. Valenti, C. R. Proffitt, K. C. Sahu, R. C. Bohlin, T. M. Brown, and D. Lindler Autofilet.pro: An Improved Method for Automated Removal of Herring-bone Pattern Noise from CCD Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193 R. A. Jansen, N. R. Collins, and R. A. Windhorst Removing Fringes from STIS Slitless Spectra and WFC3 CCD Images . . . . . . . . 197 E. M. Malumuth, R. S. Hill, T. R. Gull, B. E. Woodgate, C. W. Bowers, R. A. Kimble, D. Lindler, R. J. Hill, E. S. Cheng, D. A. Cottingham, Y. Wen, and S. D. Johnson Absolute Flux Calibration of STIS Imaging Modes . . . . . . . . . . . . . . . . . . . 201 C. R. Proffitt, J. E. Davies, T. M. Brown, and B. Mobasher Sensitivity Monitor Report for the STIS First-Order Modes . . . . . . . . . . . . . . 205 D. J. Stys, N. R. Walborn, I. Busko, P. Goudfrooij, C. R. Proffitt, and K. C. Sahu 2-D Algorithm for Removing STIS Echelle Scattered Light . . . . . . . . . . . . . . J. Valenti, I. Busko, J. Kim Quijano, D. Lindler, and C. W. Bowers 209 Contents v Part 3. NICMOS NICMOS Status . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 A. B. Schultz, D. Calzetti, S. Arribas, T. Böker, M. Dickinson, S. Malhotra, L. Mazzuca, B. Mobasher, K. Noll, E. W. Roye, M. Sosey, T. Wiklind, and C. Xu NICMOS Detector Performance in the NCS Era . . . . . . . . . . . . . . . . . . . . 222 T. Böker, L. E. Bergeron, L. Mazzuca, M. Sosey, and C. Xu NICMOS Photometric Calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . 232 M. Dickinson, M. Sosey, M. Rieke, R. C. Bohlin, and D. Calzetti NICMOS Grism Calibrations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241 R. I. Thompson and W. Freudling Coronagraphy with NICMOS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249 G. Schneider Polarimetry with NICMOS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259 D. C. Hines NICMOS Cycle 10 and Cycle 11 Calibration Plans . . . . . . . . . . . . . . . . . . . 263 S. Arribas, S. Malhotra, D. Calzetti, L. E. Bergeron, T. Böker, M. Dickinson, L. Mazzuca, B. Mobasher, K. Noll, E. W. Roye, A. B. Schultz, M. Sosey, T. Wiklind, and C. Xu NCS NICMOS Focus and Coma Analysis . . . . . . . . . . . . . . . . . . . . . . . . 267 E. W. Roye and A. B. Schultz Combining NICMOS Parallel Observations . . . . . . . . . . . . . . . . . . . . . . . 271 A. B. Schultz and H. Bushouse NICMOS User Tools and Calibration Software Updates . . . . . . . . . . . . . . . . 275 M. Sosey Part 4. WFPC2 WFPC2 Status and Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281 B. C. Whitmore WFPC2 Calibration and Close-Out . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291 A. M. Koekemoer WFPC2 CTE Characterization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 301 A. E. Dolphin An Improved Distortion Solution for WFPC2 . . . . . . . . . . . . . . . . . . . . . . 311 I. R. King and J. Anderson WFPC2 Flatfields with Reduced Noise and an Anomaly of Filter FQCH4N-D . . . . 315 E. Karkoschka and A. M. Koekemoer Using MultiDrizzle to combine Dithered WFPC2 Images . . . . . . . . . . . . . . . . 325 G. Brammer, A. M. Koekemoer, and B. Kiziltan WFPC2 Pointing Uncertainties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 329 G. Brammer, B. C. Whitmore, and A. M. Koekemoer The Accuracy of WFPC2 Photometric Zeropoints . . . . . . . . . . . . . . . . . . . I. Heyer, M. Richardson, B. C. Whitmore, and L. M. Lubin 333 vi Contents MultiDrizzle: An Integrated Pyraf Script for Registering, Cleaning and Combining Images . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 337 A. M. Koekemoer, A. S. Fruchter, R. N. Hook, and W. Hack WFPC2 Re-Commissioning After Servicing Mission 3B . . . . . . . . . . . . . . . . 341 A. M. Koekemoer, S. Gonzaga, I. Heyer, L. M. Lubin, V. Kozhurina-Platais, and B. C. Whitmore Photometry of Saturated Stars in CCD Images . . . . . . . . . . . . . . . . . . . . . 346 J. Maı́z-Apellániz Updated Contamination Rates for WFPC2 UV Filters . . . . . . . . . . . . . . . . . 350 M. McMaster and B. C. Whitmore Toward a Multi-Wavelength Geometric Distortion Solution for WFPC2 . . . . . . . 354 V. Kozhurina-Platais, S. Casertano, and A. M. Koekemoer Charge Transfer Efficiency for Very Faint Objects and a Reexamination of the Longvs.-Short Problem for the WFPC2 . . . . . . . . . . . . . . . . . . . . . . . . 359 B. C. Whitmore and I. Heyer Part 5. Other Instruments Optical Interferometry with HST /FGS at V > 15 . . . . . . . . . . . . . . . . . . . 367 E. Nelan and R. Makidon The Optical Field Angle Distortion Calibration of HST Fine Guidance Sensors 1R and 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373 B. McArthur, G. F. Benedict, W. H. Jefferys, and E. Nelan Wide Field Camera 3: Design, Status, and Calibration Plans . . . . . . . . . . . . . 383 J. W. MacKenty Calibration Status of the Cosmic Origins Spectrograph Detectors . . . . . . . . . . . 390 S. V. Penton, S. Béland, and E. Wilkinson Coronagraphic Imaging: Keck II AO and HST ACS Compared . . . . . . . . . . . . 394 P. Kalas, D. Le Mignant, F. Marchis, and J. R. Graham Author Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Subject Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 399 401 vii Preface More than a dozen years have passed since the launch of the Hubble Space Telescope (HST ). The telescope, like a fine wine, continues to improve with age. The installation of the Advanced Camera for Surveys (ACS), with its factor of ten improvement in discovery efficiency, and the NICMOS Cooling System (NCS), which resucitated HST’s IR capabilities, means that the telescope is currently more capable than it has ever been. However, with new instruments come new challenges. Charge-transfer efficiency, pointspread functions, pedestal effects, instrumental throughputs, scattered light, line-spread functions, cosmic-rays... whether we like it or not, the astronomical knowledge that will appear in tomorrow’s textbooks hinges on understanding our sometimes imperfect sensory apparatus. In addition, pushing the forefronts of science often means pushing the instruments to their limits, where all kinds of calibration “gotchas” may be hiding. The fourth HST Calibration Workshop was held October 17–18, 2002 at the Space Telescope Science Institute to help address these new challenges. The workshop featured reports from the commissioning of ACS and the re-commissioning of NICMOS. New calibrations and advances in the understanding of STIS, WFPC2, FOS, and the FGS were also presented, as well as previews of calibration plans for COS and WFC3 which are scheduled to be launched in approximately two years. The workshop was designed to foster the sharing of information and techniques between observers, instrument developers, and instrument support teams. Roughly 120 astronomers attended the workshop which included approximately 30 invited talks, 40 posters, and time for demos and splinter groups on various topics. An electronic copy of these proceedings is available at the 2002 Calibration Workshop Web site.1 The Abstract Booklet for the workshop can also be found at this site. We note that in a few cases, a talk or poster was presented at the workshop that is not represented in these proceedings. We also remind our readers that as our understanding of the instruments continue to improve, and as the instruments themselves evolve, some of the information in these proceedings will be superseeded. For the latest calibration information the reader should check the instrument Web sites.2 The workshop represents a great deal of work by a number of dedicated and talented individuals. Foremost amongst these were Dixie Shipley, the primary contact and logisitical coordinator for the meeting, and Matt Lallo, the technical support coordinator. We would also like to thank Robin Auer, Stefano Casertano, Matt Czpanskiy, Helmut Jenkner, Steve Hulbert, Calvin Tullos, Ed Weibe, and Mike Wiggs for a wide range of items ranging from WWW support to web-casting to general consulting. In addition, we thank Harry Payne, Susan Rose (lead), and Sharon Toolan for an excellent job supporting the production of this book, as well as all the people that gave talks, presented posters, and wrote up the contributions that made these proceedings possible. We also wish to thank NASA Headquarters, the HST Project at the Goddard Space Flight Center, the Johnson Space Center, and the astronauts, for supporting the servicing mission activities. Finally, we would like to dedicate these proceedings to the Instrument Definition Teams that built the incredible instruments onboard the Hubble Space Telescope. The Editors Santiago Arribas, Anton Koekemoer, and Brad Whitmore January 2003 1 2 http://www.stsci.edu/stsci/hst/HST_overview/documents/calworkshop/workshop2002 http://www.stsci.edu/hst/HST_overview/instruments ix The Organizing Committee Santiago Arribas (co-chair) Rosa Diaz-Miller Harry Ferguson Ron Gilliland Anton Koekemoer Ed Nelan Charles Proffitt Dixie Shipley Brad Whitmore (co-chair) xi Participant List Anastasia Alexov Sahar Allam Jay Anderson Solomon Kwao Annan Santiago Arribas Thomas Ayres Stephane Beland Fritz Benedict David Bennett Louis Bergeron Chris Blades Torsten Boeker Ralph Bohlin Charles Bowers Art Bradley Gabriel Brammer Paul Bristow Thomas Brown Marc Buie John Caldwell Daniela Calzetti Bill Carithers Mark Clampin Nicholas Collins Colin Cox Duilia de Mello Susana Deustua Rosa Diaz-Miller Mark Dickinson Andrew Dolphin Daniel Durand Dennis Ebbets Annette Ferguson Anthony Ferro Wolfram Freudling Ron Gilliland David Golimowski Shireen Gonzaga Paul Goudfrooij Carol Grady Theodore Gull Jonas Haase George Hartig Inge Heyer Robert Hill Dean Hines Jay Holberg Richard Hook Rolf Jansen Myungkook Jee ESO, ST-ECF Fermilab U. Califronia, Berkeley U. Ghana Legon STScI U. Colorado (CASA) U. Colorado McDonald Observatory, U. Texas U. Notre Dame, Physics Dept. STScI, JWST STScI, INS STScI, ACS STScI, ACS GSFC/NASA Spacecraft System Eng. Services STScI, WFPC2 ESO, ST-ECF STScI, SPG Lowell Observatory STScI, SD STScI, NICMOS LBNL, Berkeley STScI, ACS SSAI/GSFC STScI, ACS Onsala Space Observ/JHU American Astronomical Society STScI, SPG STScI, NICMOS NOAO National Research Council Ball Aerospace Kapteyn Inst. U. Arizona ESO STScI, ACS Johns Hopkins University STScI, WFC3 STScI, SPG NOAO, GSFC, Eureka Scientific NASA’s GSFC LASP ESO, ST-ECF STScI, ACS STScI, WFPC2 SSAI/GSFC Steward Observatory, U. Arizona Lunar & Planetary Lab, U. Arizona ESO, ST-ECF @ STScI Arizona State University Johns Hopkins University aalexov@eso.org sallam@fnal.gov jay@cusp.berkeley.edu lalablay@yahoo.com arribas@stsci.edu ayres@origins.colorado.edu sbeland@colorado.edu fritz@clyde.as.utexas.edu bennett@nd.edu bergeron@stsci.edu blades@stsci.edu boeker@stsci.edu bohlin@stsci.edu bowers@band2.gsfc.nasa.gov abradley@hst.nasa.gov brammer@stsci.edu bristowp@eso.org tbrown@stsci.edu buie@lowell.edu caldwell@stsci.edu calzetti@stsci.edu WCCarithers@lbl.gov clampin@stsci.edu collins@stis.gsfc.nasa.gov cox@stsci.edu demello@pha.jhu.edu deustua@aas.org rmiller@stsci.edu med@stsci.edu dolphin@noao.edu Daniel.Durand@nrc.ca debbets@ball.com ferguson@astro.rug.nl tferro@as.arizona.edu wfreudli@eso.org gillil@stsci.edu dag@pha.jhu.edu shireen@stsci.edu goudfroo@stsci.edu cgrady@echelle.gsfc.nasa.gov gull@sea.gsfc.nasa.gov jhaase@eso.org hartig@stsci.edu heyer@stsci.edu hill@tophat.gsfc.nasa.gov dhines@as.arizona.edu holberg@vega.lpl.arizona.edu hook@stsci.edu Rolf.Jansen@asu.edu mkjee@pha.jhu.edu xii Participant List Michael Jones Paul Kalas Erich Karkoschka Stephen Kent Ivan King Anton Koekemoer John Krist Wayne Landsman Bryan Laubscher Lori Lubin Jennifer Mack John MacKenty Jesús Maı́z-Apellániz Russell Makidon Eliot Malumuth Peter McCullough Matt McMaster Gerhardt Meurer Alberto Micol Bahram Mobasher Nick Mostek Stuart Mufson Max Mutchler Ed Nelan Jan Noordam Susan Parker Anna Pasquali Steven Penton Francesco Pierfederici Nor Pirzkal Imants Platais Vera Platais Marc Postman Charles Proffitt Kavan Ratnatunga Swara Ravindranath Jason Rhodes Michael Richmond Adam Riess Michael Rosa Jessica Rosenberg Erin Roye Abi Saha Glenn Schneider Al Schultz Hsien Shang Murray Silverstone Marco Sirianni Petr Skoda Allyn Smith George Sonneborn Megan Sosey Bill Sparks GSFC U. California, Berkeley Lunar & Planetary Lab, U. Arizona Fermilab U. Washington STScI, WFPC2 STScI SSAI/GSFC Los Alamos National Laboratory STScI, WFPC2 STScI, ACS STScI, WFC3 STScI, SPG STScI, JWST SSAI/GSFC STScI, WFPC3 STScI, COS Johns Hopkins University ESO, ST-ECF STScI, SPG Indiana University Indiana University STScI, ACS STScI, JWST ASTRON Inst. for Astronomy, Hilo, Hawaii ESO, ST-ECF U. Colorado ESO, ST-ECF ESO, ST-ECF Johns Hopkins University STScI, WFPC2 STScI, ODM STScI, SPG Carnegie Mellon University Carnegie Institution of Washington GSFC/NASA Rochester Inst. of Technology STScI, ACS ESO U. Colorado STScI, NICMOS NOAO U. Arizona Computer Sciences Corporation ASIAA U. Arizona Johns Hopkins University Astronomical Inst. Czech Republic U. Wyoming GSFC/NASA STScI, NICMOS STScI, ACS michael.r.jones@gsfc.nasa.gov kalas@astron.berkeley.edu erich@lpl.arizona.edu skent@fnal.gov king@astro.washington.edu koekemoe@stsci.edu krist@stsci.edu landsman@mpb.gsfc.nasa.gov blaubscher@lanl.gov lml@stsci.edu mack@stsci.edu mackenty@stsci.edu jmaiz@stsci.edu makidon@stsci.edu eliot@barada.gsfc.nasa.gov pmcc@stsci.edu mcmaster@stsci.edu meurer@pha.jhu.edu Alberto.Micol@eso.org mobasher@stsci.edu nmostek@indiana.edu mufson@indiana.edu mutchler@stsci.edu nelan@stsci.edu noordam@astron.nl parker@ifa.hawaii.edu apasqual@eso.org spenton@casa.colorado.edu fpierfed@eso.org npirzkal@eso.org imants@astro.yale.edu verap@stsci.edu postman@stsci.edu proffitt@stsci.edu kavan@cmu.edu swara@ociw.edu jrhodes@howdy.gsfc.nasa.gov mwrsps@rit.edu ariess@stsci.edu mrosa@eso.org jrosenbe@origins.colorado.edu roye@stsci.edu saha@noao.edu gschneider@stsci.edu schultz@stsci.edu shang@asiaa.sinica.edu.tw murray@as.arizona.edu sirianni@pha.jhu.edu skoda@adara.asu.cas.cz jasmith@uwyo.edu george.sonneborn@gsfc.nasa.gov sosey@stsci.edu sparks@stsci.edu Participant List Karl Stapelfeldt Elizabeth Stobie David Stys Rodger Thompson Hien Tran David Trilling Douglas Tucker Jeff Valenti Roeland van der Marel Jeremy Walsh Brad Whitmore Tommy Wiklind Jennifer Wiseman Bruce Woodgate Haojing Yan David Zurek Jet Propulsion Laboratory U. Arizona STScI, SPG U. Arizona Johns Hopkins University U. Pennsylvania Fermilab STScI, SPG STScI, ACS ESO STScI, WFPC2 STScI, NICMOS Johns Hopkins University GSFC/NASA Arizona State University American Museum Nat. History xiii krs@exoplanet.jpl.nasa.gov bstobie@as.arizona.edu stys@stsci.edu rthompson@as.arizona.edu tran@pha.jhu.edu trilling@hep.upenn.edu dtucker@fnal.gov valenti@stsci.edu marel@stsci.edu jwalsh@eso.org whitmore@stsci.edu wiklind@stsci.edu jwiseman@pha.jhu.edu woodgate@stars.gsfc.nasa.gov yhj@asu.edu dzurek@amnh.org Part 1. ACS 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Status of the Advanced Camera for Surveys M. Clampin and G. Hartig Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 H. C. Ford, M. Sirianni, G. Meurer, A. Martel and J. P. Blakeslee Department of Physics and Astronomy, The Johns Hopkins University, 3400 North Charles Street, Baltimore, MD 21218 G. D. Illingworth UCO/Lick Observatory, University of California, Santa Cruz, CA 95064 J. Krist, R. Gilliland and R. Bohlin Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The Advanced Camera for Surveys (ACS), installed in the Hubble Space Telescope in March 2002, will significantly extend HST ’s deep, survey imaging capabilities. ACS has met, or exceeded all of its key performance specifications. In this paper we present an introductory review of the in-flight performance of the instrument. 1. Introduction The Advanced Camera for Surveys (ACS) is a third generation instrument for the Hubble Space Telescope (HST ). It was installed in HST during the fourth servicing mission (SM3B) in March 2002. ACS replaced a first generation axial bay instrument, the Faint Object Camera (FOC). ACS has three channels, shown schematically in Figure 1, the Wide Field Camera (WFC), the High Resolution Camera (HRC) and the Solar Blind Camera (SBC). WFC is a high-throughput, wide field imager (202×202 ) designed for deep imaging surveys in the near-IR. WFC provides a factor of 10 gain in discovery efficiency at 800 nm, compared to the Wide Field Planetary Camera-2 (WFPC2). In this context, discovery efficiency is defined as the product of field of view (FOV) and instrumental throughput. WFC is an f/25 camera which employs three reflective optics. The first mirror in the optical chain is a spherical mirror IM1, which images the HST pupil onto the mirror IM2. The mirror IM2 is an anamorphic asphere figured for the inverse conic error on the HST primary mirror, in order to correct spherical aberration on the HST primary, and field dependent astigmatism at the center of the ACS field of view. IM2 images onto mirror IM3, a Schmidt-like plate, which corrects astigmatism over the field of view, and images the beam through two filter wheels onto the WFC focal plane. The focal plane detector array is a mosaic of two Scientific Imaging Technologies (SITe) 2048 × 4096 CCDs (Sirianni et al. 2000, Clampin et al. 1998). The primary WFC design goal is to maximize the instrument throughput in the near-IR, and has been achieved by minimizing the number of optical elements in the design, and coating the mirrors with Denton protected-silver. The combined reflectivity of three silver coated mirrors at 800 nm is 98%, compared to 61% for three MgF2 over coated aluminum mirrors. In the near-UV (>370 nm) the reflectivity of the silver coating falls rapidly. The 3 4 Clampin et al. Figure 1. Schematic showing the optical designs for the WFC (left) and the HRC/SBC (right). plate scale of the WFC is 0.05 pixel−1 , which delivers near-critical sampling at the near-IR wavelengths for which the camera is optimized. The HRC is a near-UV to near-IR imager, which provides critically sampled images in the visible, over a 29 × 26 field of view. HRC is also equipped with a true coronagraphic mode for high contrast imaging of the circumstellar environments of bright stars. HRC is a f/70 camera which shares two of its three mirrors with the SBC. The third mirror M3 is a fold mirror which is inserted into the beam to direct it through the two filter wheels onto the HRC focal plane array. The focal plane detector array is a SITe 1024 × 1024 CCD (Sirianni et al. 2000). The HRC shares the two filter wheels with the WFC and is capable of operating simultaneously with WFC. The HRC and SBC mirrors M1 and M2 are aluminum coated with MgF2 overcoating, and optimized for maximum reflectivity at 121.6 nm. The HRC mirror M3 is optimized for 200 nm and an incidence angle of 45◦ . The HRC focal plane detector is a SITe 1024 × 1024 CCD detector, based on the Space Telescope Imaging Spectrograph (STIS) CCD (Kimble et al. 1998). The HRC plate scale is 0.027 pixel−1 , which yields fully sampled images in the visible. The SBC is selected when M3 is moved out of the light beam. In order to maximize far-UV throughput, the SBC optical design is a two mirror optical system, with its own independent filter wheel. The SBC is a far-UV imager optimized for high throughput at 121.6 nm, with a field of view of 31 × 35 , and a plate scale of 0.032 pixel−1 . Its focal plane detector is a photon-counting CsI photocathode MAMA previously designated as the STIS flight spare detector. 2. Detectors The ACS CCD detector systems are performing nominally. The detector read noise figures for WFC and HRC are summarized in Table 1. Both detector’s are unchanged within their respective uncertainties, demonstrating the high degree of noise isolation achieved during ground testing, and the excellent on-orbit shielding from noise sources in the HST. Consequently, WFC broadband science observations will be typically, sky limited, while HRC science programs are read-noise limited, due to the smaller pixel size. The WFC Status of the Advanced Camera for Surveys Table 1. WFC1 WFC1 WFC2 WFC2 5 Comparison of Pre-launch and Post-launch CCD Readout Noise Amp. Gain A B C D 1 1 1 1 Read Noise e− RMS pre post 4.8 4.9 4.7 4.8 5.2 5.2 4.7 4.8 HRC HRC HRC HRC Amp. Gain A B C D 2 2 2 2 Read Noise e− RMS pre post 4.6 4.6 4.4 4.7 4.7 4.7 5.0 4.9 Figure 2. The growth of WFC hot pixels since launch from Riess (2002), illustrating the effect of monthly anneals on the long term evolution of hot pixels in the WFC. (Courtesy A. Riess 2002) CCDs are read out simultaneously through all four amplifiers, while the HRC is read out though amplifier C. The measured dark currents, excluding hot pixels (>0.04 e− pixel−1 s−1 ) are 7.5 e− pix−1 −1 e s (−77◦ C) and 9.1 e− pixel−1 s−1 (−80◦ C), for the WFC and HRC respectively. These temperatures are achieved without the aft-shroud cooling system, which will be installed during the next (SM4) servicing mission. Hot pixels are a result of high energy proton displacement damage. The primary technique for moderating the hot pixel growth rate is annealing of the CCDs at the instrument’s ambient “power off” temperature. Typically, the ACS detectors reach ∼20◦ C when CCD cooling is switched off. The SBC’s MAMA detector has also exceeded expectations for dark current, since pre-launch predictions of its operating temperature proved pessimistic. The SBC’s measured dark current is 1.2 × 10−5 photons s−1 across the detector. Hot pixel evolution has been evaluated over several ACS annealing cycles by Riess (2002). Hot pixels in the WFC appear at a rate of ∼1230 pixels day−1 . In Figure 2, we show the evolution of hot pixels and the effect of the monthly annealing. WFC hot pixels are annealed at a rate of ∼60%, in contrast to the factor of ∼80% for the HRC detector. In subsequent WFC anneals, existing hot pixels are annealed at very low rates such that after 7 to 8 anneal cycles the cumulative fraction of annealed pixels reaches a plateau at ∼70% (Riess 2002). Consequently, ∼1.5% of the WFC mosaic will be covered by hot pixels after 6 Clampin et al. 24 months. This corresponds to the fraction of the WFC mosaic covered by cosmic rays in a 1000 second WFC exposure. The WFPC2 and STIS CCDs are similar to the HRC in annealing at a rate of ∼80%. Currently, the WFPC2 focal plane array has ∼2.5% coverage by hot pixels, where WFPC2 hot pixels are defined as >0.02 e− s−1 . While the WFC hot pixel evolution rate is a concern it can be handled during science operations by obtaining daily hot pixel calibration images, and dithering observations so that optimal combination of science frames can be used to eliminate hot pixels. Initial post-launch measurements indicated that charge transfer efficiency (CTE) for the WFC and HRC detectors was consistent with pre-launch calibration data. CTE is expected to degrade with time since the radiation environment experienced in HST ’s orbit has caused long-term degradation of CTE in previous HST instruments including STIS (Kimble et al. 2000), and WFPC2 (Whitmore et al. 1999). Preliminary calibration using the extended edge pixel response (EPER) method on internal WFC flat field images, indicates a degradation of parallel CTE from 0.999999 to 0.999991 (amplifier D) during the first six months of operation. EPER measurements help to track CTE degradation, but are not a good measure for assessing the scientific impact of CTE degradation observations. Observational factors such as the target size, density of sources in the field and sky background levels influence the impact of CTE on a given target. 3. Image Quality The image quality for each of the three cameras is summarized in Table 2 from measurements by Hartig et al. (2002). In Figure 3 we show images of a star taken through the filters covering the spectral range of the WFC and HRC. The WFC F850LP image shows one artifact, a faint ehancement of the horizontal diffraction spike at wavelengths longer than ∼800 nm. In order to rectify the long wavelength halo observed in these CCDs (Sirianni et al. 1998), a reflective coating was applied to the frontside of the CCD prior to thinning. This coating appears to give rise to a diffraction artifact, which is seen in the F850LP image as an enhancement in the brightness in one of the four diffraction spikes. Figure 5 shows the normalized, azimuthally averaged ACS and WFPC2 profiles for stars observed through a F555W filter. Although the ACS WFC and the WFPC2-PC cameras have very nearly the same physical and spatial pixel sizes, the WFPC2-PC half width at half maximum (HWHM) is ∼20% narrower than the ACS WFC HWHM. This is likely due to slightly more charge diffusion in the backside-illuminated ACS pixels than in the frontside-illuminated WFPC2 pixels. In the case of the HRC images in Figure 3, it can be seen that the NUV image through the F220W filter exhibits a small “spur.” The feature is independent of field position and is due to a moderate amount of several low order aberrations in the optical system. The aberration also impacts the SBC images so that at 122 nm they fall slightly below their specified encircled energy (EE), most likely as a combined result of this uncorrectable aberration, the large halo induced by the MAMA detector, and the mid-frequency figure error of the OTA optics. The SBC radius for EE = 0.3, derived from F125LP images of hot stars, is 0.06. Figure 4 shows the encircled energy plots for the HRC and WFC point spread functions (PSFs) derived from F555W images. With allowance for telescope jitter, the WFC meets the image specification (Hartig et al. 2002). Even with image jitter included, the HRC exceeds the image specification. The encircled energy values for ACS and WFPC2 at 550 nm are also compared in Table 2. The WFPC2 values were taken from the WFPC2 Instrument Handbook. The ACS WFC and the WFPC2 PC have nearly the same angular pixel sizes (0.050 and 0.046 respectively) and the same 50% and 80% EE values. Because the half width at half maximum (HWHM) is a better measure of image resolution than EE, Table 3 includes the HWHMs for the ACS and WFPC2 cameras derived from F555W Status of the Advanced Camera for Surveys Table 2. 555 nm Comparison of ACS and WFPC2 HWHMs and Encircled Energies at HWHM (Radius) 50% EE (Radius) 80% EE (Radius) ACS WFC ( ) pixels 0.044 0.88 0.06 1.4 0.13 2.6 WFPC2 WFC ( ) pixels 0.096 0.96 0.11 1.1 0.24 2.4 ACS HRC ( ) pixels 0.025 1.02 0.05 2.0 0.11 4.4 WFPC2 PC ( ) pixels 0.034 0.75 0.07 1.4 0.13 2.6 Figure 3. HRC images taken through the filters, F220W, F435W and F850LP are shown in the top three images (3.3 × 3.3 ). The bottom three images show WFC images taken through F435W, F606W and F850LP (5.9 × 5.9). Figure 4. The fraction of the total light (“encircled energy” EE) enclosed within an aperture versus radius for WFC and HRC images of stars taken through an F555W filter. 7 8 Clampin et al. Figure 5. The normalized line profiles for ACS and WFPC2 PSFs derived from F555W images of stars. The profiles are “Moffat” profiles derived with the iraf task “imexamine.” Figure 6. The net efficiency of the WFC plus the HST OTA versus wavelength. The predicted values were derived by combining the preflight component calibrations. The observed efficiency was derived from observations of standard stars used for on-orbit calibration of previous HST instruments. Status of the Advanced Camera for Surveys 9 Figure 7. The net efficiency of the HRC plus the HST OTA versus wavelength. The observed sensitivity is 5 to 10% higher than predicted at wavelengths between 550 nm and 800 nm, and ∼25% lower than predicted at 250 nm. In spite of the lower than expected sensitivity in the near ultraviolet, the HRC meets or exceeds its design specifications at all wavelengths. Figure 8. SBC plus HST OTA net efficiency versus wavelength. The predicted values were derived by combining the preflight component calibrations. The observed efficiency was derived from observations of standard stars used for on-orbit calibration of previous HST instruments. images of stars. The Rayleigh criterion (1.22l/D) for an unobstructed 2.4 aperture is 0.058 at 555 nm, and the full width at half maximum (FWHM) of the Airy function is 0.05. Table 2 shows that the observed ACS HRC FWHM is 0.05 (2 pixels). The HRC meets the design goal of being critically sampled at wavelengths λ > 500 nm. 4. Sensitivity The on-orbit performance of the WFC exceeds the preflight predictions by a substantial margin. The pre-flight sensitivity of ACS was determined from component level measurements of the CCD quantum efficiencies, mirror reflectivities and filter throughputs. Systematic errors and measurement uncertainties are the most likely explanation for this unexpected gain in sensitivity. In Figure 6 we show the measured on-orbit net throughput of the WFC based on measurements of spectrophotometric standard stars through broad band filters. The WFC is near 50% overall efficiency at 650 nm. The HRC exhibited the same gain 10 Clampin et al. Figure 9. Radial surface brightness profiles of a star observed through the filter F435W. The top line is the predicted HRC profile (direct, no coronagraph). The middle line is with the coronagraph (1.8 occulting spot), and the bottom line is the absolute value of the residual coronagraphic profile after the star is subtracted by an image of itself taken during a separate visit. Note that the Lyot stop in the coronagraph reduces the throughput by 53%. in performance at visible wavelengths as the WFC, but showed a small decrease in NUV sensitivity compared to pre-launch predictions. The HRC measurements are shown in Figure 7. The SBC’s peak net throughput is shown in Figure 8, with a comparision to STIS. The superior throughput of ACS results from the fact that it has only two reflections in the optical path to the SBC, compared to four in STIS. 5. ACS Coronagraph The ACS HRC coronagraph comprises two opaque circular stops that are positioned in the HST aberrated focal plane and a Lyot stop that is simultaneously positioned immediately in front of the HRC M2 mirror, and thus close to the pupil image. The smallest stop has a diameter of 1.8 and is positioned in the center of the HRC field. The largest stop has a diameter of 3.0 and is 5.25 from one edge of the HRC. The 1.8 and 3.0 spots block about 88% and 95% of the aberrated PSF, respectively. The Lyot stop reduces the throughput of non-occulted sources by ∼48%. In addition to the two circular stops, there is a 0.8 wide opaque finger that extends 5.5” over the HRC window at an angle of ∼74◦ to the edge. Because the finger is not in the focal plane, there is a small amount of vignetting around its edges. During assembly of the ACS the tip of the finger was aligned with the center of the 3.0 spot, with the goal of blocking light diffracted into the geometrical shadow from bright stars centered on the spot. However, after launch “gravity release” caused the finger and shadow of the large mask to misregister by ∼ 1 . Figure 9 shows the azimuthally averaged radial surface brightness profiles for a simulated direct F435W image of a star, the observed F435W profile when the star is centered on the small spot (1.8), and the observed radial profile when two sequential coronagraphic images are subtracted. The simulated image includes diffraction from the HST pupil and from the residual polishing errors on the HST primary and secondary mirrors. The figure shows that the coronagraph reduces the background by ∼6. If a matching PSF is subtracted (e.g., by rolling the telescope and taking another image), the background is reduced by a factor of ∼1000. Status of the Advanced Camera for Surveys 11 Figure 10. The left panel shows a 5-orbit direct image (2 orbits F775W + 3 orbits F850LP) image of an emission line galaxy in the HDFN. The F775W filter (Sloan i) includes the redshifted [OIII] λ5007 emission line and the F850LP filter (Sloan z) includes redshifted Hα emission. The right panel shows a 3-orbit grism image of the galaxy. The arrows mark the bright emission line regions in the image; the vertical lines mark the emission lines [OIII] λ5007 and Hα 6563 in the spectrum. 6. ACS Grism The first order WFC dispersion, which depends on the position in the focal plane, varies from 3.63 nm pixel−1 in one corner to 4.55 nm pixel−1 in the other corner, with an average value of 3.95 nm pixel−1 . The spectral resolution is the product of the monochromatic FWHM and the dispersion. We assume that a monochromatic image has the same dimensions in the spatial and spectral directions. Table 3 gives the spatial and spectral resolution derived from an average of the five measurements at positions near the center and ends of the spectra. The resolution R = λ/δλ varies from ∼65 at the blue end of the spectrum to ∼78 at the red end. The resolutions at 800 and 1000 nm are very close to the values for a diffraction-limited image sampled with 0.05 pixels. The spectral resolution achieved on extended sources will be proportional to the square root of the quadratic sum of the image size in the dispersion direction and the FWHM for a point source. Table 3. ACS Grism Spectral and Spatial Resolution for Stellar Sources Avg. Wavelength (nm) 593.8 ± 8.2 801.6 ± 6.9 977.6 ± 13.3 Avg. Cross Dispersion FWHM (pixels) 2.30 ± 0.2 2.33 ± 0.3 3.16 ± 0.7 Avg. Resolution (nm) 9.07 9.21 12.49 Resolution (λ/δλ) 65 87 78 Figure 10 shows a 5-orbit direct image (2 orbits F775W + 3 orbits F850LP) and a 3orbit grism image of a galaxy in the HDFN13. The grism image shows that the prominent knots at each end of the galaxy are star forming regions with two strong emission lines ([OIII] λ5007 and Hα l6563). Figure 11 shows the spectra extracted at the positions of the two knots and the nucleus. The nucleus also shows strong emission at Hα. The observed wavelengths of the emission lines agree with the published redshift of the galaxy, z = 0.319. The grism’s high sensitivity and low resolution make it particularly suitable for observations of stellar sources with broad spectral features, such as supernovae and brown dwarfs, and compact star forming regions that have strong emission lines. Acknowledgments. ACS was developed under NASA contract NAS 5-32865, and this research is supported by NASA grant NAG5-7697. We are grateful for an equipment grant from the Sun Microsystems, Inc. 12 Clampin et al. Figure 11. Spectra extracted from the grism image shown in Figure 10. The two strong emission lines in the knots at ∼660 nm and 866 nm are [OIII] λ5007 and Hα 6563 at a redshift z = 0.3229. References Clampin, M., et al. 1998, SPIE 3356, 332 Hartig, G., et al. 2002, SPIE 4854, in press Kimble, R. A., Goudfrooij, P., & Gilliland, R. L. 2000, SPIE 4013, 532 Kimble, R. A., et al. 1998, ApJ 492, L83 Riess, A. 2002, Instrument Science Report ACS 02-06 (Baltimore: STScI) Sirianni, M., et al. 2000, SPIE 4008, 669 Sirianni, M., et al. 1998, SPIE 3355, 608 Whitmore, B., Heyer, I., & Casertano, S. 1999, PASP 111, 1559 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Astrometry with the Advanced Camera: PSFs and Distortion in the WFC and HRC Jay Anderson Department of Physics and Astronomy MS-108, Rice University, Houston TX 77005 Abstract. Before ACS can be useful for astrometry, we must first determine how best to model the PSF and how to correct for the camera’s considerable distortion. I analyze WFC and HRC images taken of the core of 47 Tuc and find that the same effective-PSF-based approach that works for WFPC2 produces excellent results with ACS. Positions of reasonably bright stars can be measured with a random error of better than 0.01 pixel in each coordinate. Distortion is another matter. It is well known that the Advanced Camera for Surveys suffers from significant linear and higher-order distortion. I find that the ACS also suffers from some finescale distortion that appears to be different for each filter. This fine-scale distortion perturbs a polynomial solution by about 0.05 pixel and is coherent on spatial scales of about 200 pixels. I find that the distortion in each chip can be modeled with a 4th-order polynomial and a separate look-up table for each filter. With such a model, the distortion residuals are typically ∼0.01 pixel. 1. Introduction We have found in our research with WFPC2 (see references by Anderson & King) that the two keys to high-precision astrometry with HST are (1) careful treatment of the undersampled point-spread function (PSF) and (2) accurate modeling of the geometric distortion. Once these two issues are addressed, it is possible to attain differential astrometry to a fraction of a milli-arcsecond in a well-dithered set of images. With its large field of view and better sampling, the Advanced Camera for Surveys has the potential to measure positions at least a factor of two better than WFPC2. However, before we can realize this potential we must first learn how to model the PSF and remove the distortion in this new camera. With regards to the PSF, I have examined some of the early ACS images and find that the same modeling techniques that worked for WFPC2 work quite well for ACS. In fact, in many ways, the ACS PSF is better behaved than that for WFPC2. It was well known that distortion in the Advanced Camera for Surveys would be much greater than that in WFPC2 (50 pixels as compared with 5 pixels). It was not known how accurately this distortion could be modeled and removed. I have examined several of the data sets available at the center of 47 Tuc and characterized the various sources of distortion present in the two cameras. I find that in addition to the expected large geometric distortion, there appears to be some unexpected component of distortion that is introduced by the filter itself. 2. Available Data Sets There are two main data sets available to explore the PSF and distortion properties in the WFC and the HRC: GO-9028 (PI Meurer) and GO-9443 (PI King). These two sets 13 14 Anderson Figure 1. Contour plots of the super-sampled F475W PSFs. These PSFs represent the inner 5 × 5 pixels of a star and are sampled every 0.25 pixel in x and y. The heavy contours are separated by 0.5 dex. were both taken at the center of globular cluster 47 Tuc. The main set (9028) consists of 20 exposures through F475W with a range of offsets all at the same orientation. GO9443 contains a tightly dithered set of pointings through the same filter at an orthogonal orientation. This program also has several single exposures taken through other filters to allow us to investigate how the solution may vary with filter. Other data sets cover the same field and an outer field of the same cluster, and will provide valuable checks on the solution. 3. 3.1. The PSF Lessons from WFPC2 Our experience with WFPC2 (Anderson & King 2000) has shown us that the main sources of PSF-related astrometric error are due to undersampling and spatial variability. The undersampled nature of HST images does not mean that we cannot measure accurate positions for stars, but it does mean that the accuracy of our positions will depend critically on our model of the PSF. We deal with the undersampling by taking several observations of the same star field with a variety of sub-pixel offsets. This dithered set allows us to reconstruct a properly sampled version of the PSF. Our PSF model is typically super-sampled by a factor of four with respect to the image pixels. We find that without such a carefully constructed PSF, position measurements contain systematic errors of up to 0.05 pixel. But with an accurate PSF model, it is possible to measure positions with a random accuracy of 0.02 pixel and no significant systematic errors. The WFPC2 PSF changes shape with location in the field, so we derive a different PSF for nine fiducial points in each chip. We interpolate among these fiducial PSFs to construct a PSF that is appropriate for the location of each star we measure. 3.2. ACS Results I constructed a PSF for the Advanced Camera for Surveys using the same techniques as above for WFPC2. To start, I found a single PSF for each chip. These PSFs are shown in Figure 1. (Note that the images used were the flt or crj images, not the drz images; the latter images are not well suited for astrometry as they have been re-sampled and much of the positional information has been blurred out.) Astrometry with ACS 15 Figure 2. The single-coordinate astrometric precision as a function of instrumental magnitude, −2.5·log10 (DN). Stars brighter than −13.5 in the WFC and −14.5 in the HRC are saturated and have greatly increased errors. Astrometric Accuracy. I find that the 4×-supersampled PSF model can measure reasonably bright, isolated stars with a random accuracy of better than 0.01 pixel in each coordinate and with no significant systematic errors (see Figure 2). This accuracy with respect to the pixel grid holds true for the WFC and the HRC, so that the HRC angular precision is a factor of two better than in the WFC. Thus far, I have used the same 5×5-pixel PSF model as we used for WFPC2. Since even in the HRC most of the flux is contained within this aperture, photometry and astrometry should not require a larger-format PSF. However, if one wants to do PSF subtraction, a larger-format PSF might be useful. Spatial Variation of the PSF. The WFPC2 PSF changes shape appreciably from the center of the chip to the corners. We found that if we didn’t adequately model the PSF variation, we saw systematic errors in astrometry that correlated with the pixel phase of the star being measured. I therefore examined the astrometric residuals from different regions of the ACS chips in search of such tell-tale signs that the PSF was changing. I found only a very slight (0.002 pixel) hint of this effect in the very corner of the WFC chips. This is a factor of five less variation than was seen across the (smaller) WFPC2 chips. For almost all ACS projects, it should therefore be safe to use a spatially constant PSF—a welcome simplification. The random accuracy shown above is a factor of two better than we have been able to achieve for WFPC2. This improvement is a result of several factors: (1) we only need to solve for a single PSF over a much larger area, so we have many more PSF samplings from which we can construct a model; (2) the deeper CCD wells make each observed sampling of the PSF more accurate; and (3) the deeper wells also give the bright stars much higher signal-to-noise so that we can fit for a more accurate position. Photometric Accuracy. While my focus has been more on astrometry than photometry, I have examined the photometric residuals as well and find that the best stars can be measured differentially to about 0.005 magnitude in each exposure. However there do appear to be some small systematic errors (∼0.003 mag) related to intra-pixel sensitivity variations. In the PSF constructed above, I constrained the pixel-response function to be flat, but more 16 Anderson realistic constraints should be possible once we have better observations of the intra-pixel sensitivity function for the various filters. Stability of the PSF over Time. Finally, I looked at how the PSF changes over the longterm. I measured the GO-9443 images (taken in July 2002) with the PSF from the GO-9028 images (taken in April 2002) and found that the systematic position errors incurred were on the order of 0.005 pixel. This error is a factor of five smaller than we found with a similar WFPC2 comparison (Anderson & King 1999). This apparent stability of the PSF should be confirmed with additional observations, but if the PSF is typically this stable, then it would be worthwhile to construct a library of PSFs, one for each filter/chip combination. The single-pointing observations of GO9443 will allow us to find a preliminary PSF for several filters. However to get the best possible PSFs, and to constrain the pixel-response function for each filter, we will need more observations. A tightly dithered set of observations through each filter of a reasonably dense star field should allow us to constrain the pixel-response function and develop an exquisitely accurate PSF for each filter. This would require about an orbit per filter. PSF Summary. The raw astrometric quality of these early ACS images is extremely encouraging. If this precision can be matched with an equally good distortion solution, then the Advanced Camera for Surveys will open up many new avenues for astrometry. 4. 4.1. Distortion Different Needs Different applications make different demands on a distortion solution. The pipeline requires a solution that is accurate to about 0.2 pixel, so that the drizzle procedure can create a rectified image that can be easily compared with undistorted images. The solution does not need to be more accurate than this because the resampling inherent in the drizzling process introduces errors of about this size. For this reason, the spec demanded of the initial distortion solution was ∼0.2 pixel. Applications which produce a mosaic from a set of offset pointings (perhaps to cover the gap between the chips or to panel-image a large field) are particularly sensitive to distortion errors at the edges of the chips. Such errors can produce additional blurring in the interfaceregion, resulting in a variation of the resolution with location in the mosaic. Sometimes polynomial solutions can have their largest errors at the edges, so for these applications it may be worthwhile to use a more elaborate solution. To do differential astrometry, we need to measure relative positions of nearby stars to better than 0.01 pixel. For this, we do not need a solution that is globally accurate at this precision (namely, knowledge of precisely where a pixel in one corner of an image is relative to the pixel in an opposite corner); but we do have to trust that the solution is locally flat to very high precision. Fortunately all applications will benefit from the best possible distortion solution on both local and global scales. Thus, our focus has been to examine all sources of distortion, large-scale and small-scale, so that we would arrive at the best possible model for all applications. 4.2. How to Solve for Distortion The easy way to solve for distortion is to observe an astrometrically-calibrated star field with the detector. The detector distortion then shows up directly as position residuals. Unfortunately, there do not exist any astrometric-standard fields with the precision and density that would be useful to help us calibrate HST. Hopefully by the end of the ACS calibration procedure the core of 47 Tuc will be able to serve such a purpose. Astrometry with ACS 17 The hard way to solve for distortion is to do a self-calibration. Here, we observe the same star field through the same detector at various offsets and orientations. We then relate the images to each other, solving simultaneously for the transformations between the images and the distortion. (Usually the telescope pointing is not precise enough to allow us to take the offsets between the images as known.) 4.3. Lessons from WFPC2 We have recently completed a new self-calibration of the distortion in WFPC2 (see Anderson & King 2003). While WFPC2 and ACS are different instruments, many of the issues involved in self-calibration will be applicable here as well. Some issues we uncovered in our work with WFPC2 are: 1. In order to solve for distortion, we obviously need observations of the same field at different offsets. If these offsets are too large, however, it can be very difficult to tease apart the solution for the offsets between the pointings from the solution for the distortion itself. It is easiest to use only image pairs with at least 50% overlap. 2. We have found that there are several aspects to a distortion solution: periodic irregularities in the detector, a polynomial solution, variations with focus and filter, additional effects near the chip-edges, the inter-chip solution, etc. It can be extremely hard to solve for all aspects of the solution at once, thus it is useful to examine data sets which can isolate one or two of these effects, and then construct a piecemeal solution that includes all of the effects. 3. The only way to solve for the linear terms is to observe the same field at different orientations. However, if the two observations do not have enough overlap, then the solved-for linear terms are very sensitive to errors in the higher-order terms. In general, the low-order terms are harder to solve for than the higher-order ones, since a global solution can only be as accurate as the local solution. 4. Finally, changes in focus can introduce additional distortions, so that the solution may change over time, both long-term and short-term. 4.4. Starting with the WFC With all these cautions in mind, I began to examine the ACS distortion. I started with the GO-9028 data set, which consists of 20 exposures taken through F475W, with a variety of offsets but all with essentially the same orientation. Such a set of parallel displacements will not allow us to solve for the linear terms, but it is an excellent opportunity to isolate the higher-order terms. I used the PSFs from the previous section to measure every star in every image. I then cross-identified all the stars in all the images, creating a master list of all the stars in the field and recording the observed location for each star in each image. (This initial task of cross-identification is not easy with images that suffer from as much distortion as ACS!) The Polynomial Solution. The first task is to find the best 4th-order solution. This requires many iterations between determining the inter-image offsets and solving for the distortion itself. In this initial polynomial solution, I set the linear terms to be zero, since we know that parallel displacements cannot constrain them. I found a 4th-order solution very similar to what Meurer et al. (2003) have found: The WFC non-linear terms have an amplitude of about 50 pixels (from center to edge). The HRC non-linear distortion amounts to about 3 pixels in amplitude. Like Meurer et al., I also found that there are some systematic residuals from this simple polynomial solution. These systematic residuals are typically 0.05 pixel in amplitude and 18 Anderson are coherent on a spatial scale of about 200 pixels. It is clear that we must somehow treat this fine-scale distortion if we desire to make use of the 0.01-pixel precision that is possible with the ACS PSF. The Supplementary Look-up Table. It was surprising to find such fine-scale structure in the solution. The WFPC2 solution had no such fine-scale variation and was almost perfectly fit with a 3rd-order polynomial. It was not practical to model this with a polynomial of even higher order, so I decided to model the additional distortion by means of a supplemental table, sampled every 64 pixels in the WFC (65×33 entries for each chip) and every 16 pixels in the HRC (65 × 65 entries). To evaluate the distortion at any point in a chip, I interpolate this table and add the table result to the polynomial solution to get the total distortion correction. Solving for the table is also an iterative procedure, and after each iteration I constrain the table to be smooth by convolving it with a 5 × 5 quadratic smoothing kernel. The table for the bottom WFC chip is shown graphically in Figure 3. The residuals from this polynomial-plus-table solution are typically less than 0.01 pixel, both for the HRC and for the WFC. There remains some quasi-periodic high-frequency variation with a scale of ∼120 pixels and with an amplitude of about 0.005 pixel. This is likely due to limitations in the look-up table formulation. The smoothing I perform means that the table cannot correct for variations on a scale smaller than about 150 pixels. Improving the distortion solution further may require observations with an array of dither offsets that are better spaced to sample the distortion at this spatial frequency. Inter-chip Solution. The gap between the WFC chips is qualitatively different from the gap between the WFPC2 chips. Each of the WFPC2 chips is independently imaged by different optics, whereas the ACS/WFC chips are all in a common image field and the gap is simply a physical offset between the chips. This offset should not change with time and breathing as much as the WFPC2 offsets do, so it should be safer to use a meta-chip solution for the WFC. The meta-chip solution is included as part of my standard distortion correction. The errors in the inter-chip solution appear to be no larger those in the global single-chip solutions. Distortion from Detector Defects. Because of a manufacturing defect, every 34th row in WFPC2 is slightly (3%) narrower than average. This was noticed early-on in the flat fields, but it was not initially known if it was a geometric effect or a pixel-sensitivity effect (Holtzman et al. 1995). We demonstrate in Anderson & King (1999) that it is indeed a geometric effect—it produces a 0.03-pixel skip every ∼34 pixels. We provide a simple correction for this. The WFC flat fields are seen to exhibit a similar striping every ∼68 columns, so I looked for an astrometric signature here as well. I plotted the localized relative intensity of the flat field as a function of column number (see Figure 4) and noticed not only a bright column, but a regular pattern with an rms amplitude of 0.1% and maximum amplitude of 0.8%. The expected astrometric signature of this is 0.008 pixel, four times smaller than with WFPC2. Nonetheless, I examined the position residuals as a function of this 68.270-column phase and, sure enough, the observed trend matched up almost exactly with the predictions based on the flat fields. It should be relatively straightforward to come up with a correction for this; but since it is a small effect, I will put off deriving a correction until the other (larger) sources of distortion are properly treated. 4.5. Comparing with the GO-9443 data set In a self-calibrated solution, we need to have at least one pointing that is rotated with respect to the others in order to solve for the linear terms. That was the idea behind taking GO-9443 with an orthogonal orientation to the many GO-9028 images. Astrometry with ACS Figure 3. Graphical presentation of the WFC[1] (bottom chip) table of corrections. I plot each of the 33 rows along with its baseline. The y coordinate corresponding to the center of each row is labeled up the middle. The separation between rows is 0.05 pixel. The table corrections are generally smaller than 0.05 pixel, but can be larger than 0.1 pixel. 19 20 Anderson Figure 4. For each pixel in the WFC[1] flat, I took the ratio of the pixel value to the median of the 30 pixel values on either side. I then took a median of this ratio for all 2048 pixels in each column. This is plotted for each of the 4096 columns in a phase diagram. Introducing the Orthogonal Pointing. In my initial attempt to solve for the distortion, I took the orthogonal pointing of GO-9443 and compared it against the twenty GO-9028 pointings, thinking that would allow me to solve for the linear and the higher-order distortion at the same time. Using the residuals from these 1-versus-20 image comparisons, I found a solution which did a very good job reducing the residuals. But when I used this solution to compare the 20 GO-9028 pointings with each other, I found significant systematic residuals. This indicated that there was some change in the solution between the two observations. So, I decided to focus first on the non-linear terms (as above) using exclusively the parallel GO-9028 observations, and only later compared with the orthogonal pointing. Comparing with the Orthogonal Pointing. I correct both the GO-9028 and orthogonal GO9443 observations with the above polynomial-plus-table solution and examine the residuals between the two sets of positions. The most obvious difference comes from the whopping linear terms, which of course have not yet been solved for. These linear terms correspond to a shear of over 500 pixels from bottom to top in the WFC field. Once the linear terms are solved for and removed, however, I find that the positions in the two frames still do not match up perfectly, indicating that there is some distortion that has not been removed. In fact the non-linear distortion difference between the two images appears to be almost entirely quadratic. Figure 5 shows the position residuals between the GO-9443 and GO-9028 observations. Note that this smooth behavior would be impossible to see without an exquisite highorder solution. If we had left out the fine-tuning tabular portion of the solution, the quadratic behavior would be completely washed out by the interplay of the fine-scale distortions in the two images being compared. Also, if we had not bundled the two chips together but had transformed them separately, then the quadratic behavior would have been much harder to see—much of it would be absorbed in the fit for the linear terms in the four half-chip overlaps. The smoothness of this relationship means that the high-order and fine-scale solutions are essentially constant over time. The residuals are even continuous across the chip gaps (Y ∼ 2048), which means that the inter-chip solution is extremely stable as well. Only the Astrometry with ACS 21 Figure 5. The position residuals between the central GO-9028 pointing and the orthogonal GO-9443 pointing for horizontal (left) and vertical (right) strips through the center of the image. The high-frequency striping is likely related to the smoothing length of the table solution. low-order terms appear to change with time. (We should note that we cannot rule out a variation of the linear terms of the solution along with the quadratic. Since we had to use these observations to constrain the linear terms, we cannot detect a change in the linear terms.) This observed quadratic variation is probably due to changes in focus. It should not constitute a major limitation to WFC astrometry. However, it will force us either to use more local transformations or to transform with 2nd-order rather than linear transformations. Variation of the Solution with Filter. The GO-9443 data set had a dithered set of images taken through F475W (the filter that was chosen for the initial distortion mapping), but also had several single exposures at the same pointing through different filters: F435W, F555W, F606W, and F814W. By comparing the positions in the F475W images with the positions measured for the other filters, we can see how much the distortion solution varies with filter. Whereas in WFPC2, the image-scale had a strong correlation with filter wavelength, the ACS filters all seem to have the same global solution. The different filters do have different fine-scale solutions, however, which will require a separate look-up table for each filter. This is the case for both the WFC and the HRC. Without treatment of the filterdependence, the distortion solution will only be accurate to 0.1 pixel or so. (While it is true in general that the different filters share the same backbone polynomial solution and do not have markedly different scales, it is worth noting that F814W images 22 Anderson do seem to have a slightly different scale than the other filters, amounting to almost a half pixel from top to bottom of the WFC. This is accounted for in my F814W look-up table supplement, and could be important for those programs that need to create co-registered mosaics for a variety of filters.) An Independent Check. The program of GO-9018 (PI De Marchi) images an intermediate field in 47 Tuc with the WFC. The program was taken to study the accuracy of the lowfrequency flat fields and consists of several pointings with large offsets through a variety of filters. While the star density in this outer field is not high enough to constrain the distortion solution, there are enough stars in the images to allow us to test the solution. I compared the distortion-corrected star positions in images taken at different offsets and through different filters and found that the systematic position residuals are generally less than 0.01 pixel, which demonstrates that the filter-specific distortion corrections are indeed good to about this accuracy. Evidently, the breathing-state of the telescope during GO-9018 was similar to that during the GO-9028 observations, since no variation of the solution is seen here. GO-9019 (PI Bohlin) has re-observed the center of 47 Tuc with the HRC in a program analogous to GO-9018. This data set will provide a valuable check on the HRC solution. 5. Recommendations There are many aspects to the ACS distortion solution: a polynomial backbone, a fine-scale solution, a dependence on filter, and a low-order variation with breathing. Not all of these aspects will be of concern to all observers. Many applications require a solution which is accurate to only 0.1 or 0.2 pixel, so that basic image rectification and reconstruction can be done. The polynomial solution produced by Meurer et al. should be entirely adequate for these purposes. Other applications, such as high-precision differential astrometry or careful mosaicking, may require a more elaborate solution, such as the one I have constructed here. 6. End-products of this Analysis This analysis will produce several products that could be useful to the community. Thus far, I have created a FORTRAN subroutine that computes the WFC distortion correction for the five filters in GO-9443: F435W, F475W, F555W, F606W, and F814W. This routine can be downloaded from my anon-ftp site (ftp://cusp.berkeley.edu/pub/jay/ACS). Additional products of this analysis will be: the HRC corrections, PSFs for a variety of ACS filters, and a list of ∼150,000 stars at the center of 47 Tuc with coordinates in a distortion-free system, so that in the future distortion corrections can be done the easy way. Acknowledgments. This research was supported by STScI grant GO-9443. References Anderson, J. & King, I. R. 1999, PASP, 111, 1095 Anderson, J. & King, I. R. 2000, PASP, 112, 1360 Anderson, J. & King, I. R. 2003, PASP, (in press) Holtzman, J. A., Burrows, C. J., Casertano, S., Hester, J. J., Trauger, J. T., Watson, A. M., & Worthey, G. 1995, PASP, 107, 1065 Meurer, G., Blakeslee, J., Lindler, D., & Cox, C. 2003, this volume, 65 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. ACS Flat Fields and Low-order “L-flat” Corrections from Observations of 47 Tucanae J. Mack, R. C. Bohlin, R. L. Gilliland, R. van der Marel, G. de Marchi Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 J. P. Blakeslee Johns Hopkins University, Dept. of Physics & Astronomy, Baltimore, MD 21218 Abstract. The uniformity of the WFC and HRC detector response has been assessed using multiple dithered pointings of 47 Tucanae. By placing the same stars over different portions of the detector and measuring relative changes in brightness, low frequency spatial variations in the response of each detector have been measured. The original WFC and HRC laboratory flat fields produce photometric errors of 6 to 18 percent from corner-to-corner. The required low-order correction (L-flat) has been applied to the lab flats, and new flat fields have been delivered for use in the calibration pipeline. Initial results indicate that the photometric response for a given star is now the same to ∼1% for any position in the field of view. A comparison of the improved flat fields with high signal observations of the bright earth at 3300 Å and with preliminary skyflats at 7700 Å also shows agreement to within ∼1%. 1. Introduction In 2001, flat field images for the ACS detectors were produced on the ground using the RAS/HOMS (Refractive Aberrated Simulator/Hubble Opto-Mechanical Simulator) with a continuum light source. These flats include both low frequency (L-flat) and high frequency pixel-to-pixel (P-flat) structure. The RAS/HOMS provides an external, OTA-like illumination above its refractive cutoff wavelength of ∼3500 Å. Because the RAS/HOMS optics are opaque below 3500 Å on-orbit observations of the bright earth are used to create the UV flats for the HRC. The intrinsic pixel-to-pixel rms of the detector is ∼0.5%. Thus, to avoid any significant loss of signal-to-noise when applying the flat fields to the science data, the Poisson counting statistics of the external flats are ∼0.3%, i.e., at least 100,000 electrons/pixel. For a detailed discussion of creating the ground flat reference files, see Bohlin et al. 2001. To assess the accuracy of the ground flats, multiple dithered pointings of the globular cluster 47 Tucanae were made. By placing the same star over different portions of the detector and measuring its relative changes in brightness, errors in the laboratory flats have been discovered. This paper is devoted to a discussion of the L-flat corrections derived for the WFC and HRC detectors. For more a more detailed description of the L-flat program for the WFC, see Mack et al. 2002. 23 24 Mack, et al. Sky flats may eventually replace the corrected ground flats and will be built up from numerous GO images of sparse fields. To achieve the required 100,000 electrons/pixel at F606W, for example, ∼3 weeks of constant observing would be required. Preliminary lowsignal sky flats for F775W are compared below with the derived stellar L-flat. Internal lamp flats are also part of the ACS flat fielding program but are relevant for monitoring purposes only, since these flats have a different illumination than the external flats. Specifically, the internal lamps blur the shadows of the dust motes and cannot properly correct for new motes or for existing motes which may have shifted. 2. Observations For the WFC and HRC detectors, the accuracy of the ground flats is assessed using observations of the globular cluster 47 Tucanae (NGC 104). The WFC observations are offset 6 arcmin from the cluster center to minimize the effects of crowding which can complicate the sky subtraction when performing aperture photometry. The L-flat observing program is summarized in Table 1 which includes the target RA and Dec, the dither step size, and the filters used for imaging. Each WFC image contains ∼6000 stars of sufficient signal-to-noise at each of the 9 dither positions, while each HRC image contains ∼3000 stars. Table 1. L-Flat Observations of 47 Tucanae Detector WFC Program 9018 Dither Step 22 (11% FOV) RA 00:22:37.20 Dec −72:04:14.0 SDSS Filters F775W F850LP BVI Filters F435W F555W F606W F814W HRC 9019 6 (23% FOV) 00:24:06.52 −72:05:00.6 F475W F625W F775W F850LP F435W F555W F606W F814W For each detector/filter combination, the dither pattern consists of 9 pointings along a diagonal cross, where the step size in X and Y is 22 for the WFC and 6 for the HRC. Since the field size is ∼ 200 for WFC and ∼ 25 for the HRC, each step is a large fraction of the detector field of view, as indicated in Table 1. The 9-point dither pattern is illustrated in Figure 1 for each detector, where the size of each dither in pixels is shown with respect to the size of the WFC and HRC detectors. The central dither position for each detector is shown in bold. Stars which were observed in at least three images are overplotted on the diagram. 3. Matrix Solution A matrix-solution program was developed by R. van der Marel for deriving the low-frequency flat field corrections from the dithered, stellar point-source photometry. Separate solutions for each of the filters listed in Table 1 were derived using this algorithm. The details of this code are described in a separate HST Instrument Science Report, currently in progress. To summarize, the observed magnitude of a star at a given dither position is assumed to be the sum of the true magnitude of the star plus a correction term that depends on the position on the detector. The correction term represents the L-flat. The L-flat, when given in magnitudes, can be expressed as the product of fourth-order polynomials in the detector ACS Flat Fields Figure 1. Nine-point dither pattern, in geometrically-corrected pixel coordinates, for the WFC and HRC L-flat observations. The central dither for each detector is shown in bold. Each WFC step (dotted and dashed lines) is ∼440 pixels (11% FOV) in x and in y. Each HRC dither is ∼240 pixels (23% FOV). Stars which were observed at least three times are plotted. 25 26 Mack, et al. x and y coordinates. When a set of multiple dithered observations is available for a given star field, the determination of both the L-flat and the true instrumental magnitude of each star can be written as an overdetermined matrix equation. This equation has a unique minimum χ2 -solution that can be efficiently obtained through singular-value-decomposition techniques. The matrix solution requires as input the magnitude of each star and its uncertainty. The appropriate photometric aperture is chosen which includes ∼80% of the encircled energy. This radius corresponds to 5 pix for the WFC and 7 pix for the HRC. Uncertainties from the sky background and from neighboring stars increase at larger radii. Sigma clipping is employed to reject stars having large photometric residuals with respect to the variation in the L-flat. These rejected outliers are mostly due to cosmic rays, image saturation, or stars falling at the edge of the detector. In Figure 2, the L-flat solutions derived for F555W are shown for the WFC and HRC. The residual of the stellar magnitude with respect to the predicted magnitude is displayed, where stars in the upper left of the WFC (HRC) are too faint (bright) after pipeline calibration with the original ground flats, and stars in the lower right are too bright (faint). There is a continuous gradient in the L-flat along the diagonal of the detector, which corresponds to the axis of the maximum geometric distortion. This gradient is of order 10% from corner to corner and varies with wavelength (see Table 2.) The diagonal in the opposite direction shows no systematic gradient, and stars falling along this diagonal require no correction. Because the detectors are rotated approximately 180 degrees with respect to one another on the sky, the direction of the L-flat gradient for the WFC and HRC detectors is reversed. Assuming a simple linear dependence on wavelength, the L-flat correction for the remaining wide, medium, and narrow-band WFC filters is derived. The pivot wavelength of each filter is used for the interpolation, where the resulting L-flat correction is equal to the weighted average of the L-flat correction for the two filters nearest in wavelength. A comparison of ACS F550M with WFPC2 F547M photometry indicates that the “interpolated” L-flat has errors that are no larger than ∼2–3%. Other flats which were derived via interpolation are the HRC and WFC narrow-band filters: F502N, F550M, F658N, F660N, F892N and the WFC broad-band filters: F475W, F625W. Further study is required to achieve uncertainties of 1% for these flats. Table 2. Required Corrections to the Ground Flats, Expressed As a Percent Gradient from the Upper-left to the Lower-right Corner Filter F435W F475W F555W F606W F625W F775W F814W F850LP 4. WFC HRC 16% 7% – 7% 10% 6% 14% 7% – 7% 13% 8% 15% 9% 18% 12% Comparison with In-Flight Sky Flats To verify the L-flats derived from point source photometry, sky flats were created by J. Blakeslee using WFC exposures of the Hubble Deep Field- North which contains a large ACS Flat Fields Too Faint 27 Too Bright WFC HRC Too Bright Too Faint Figure 2. Low-order flats derived for F555W from the matrix-solution code. The WFC (HRC) variation from corner-to-corner is 10% (6%). Black indicates that the ground flats produce photometry which is too faint with respect to the true stellar magnitude; white indicates that photometry is too bright. amount of “blank” sky. For F775W, the combined exposure is 4500 sec. Because this exposure is not high enough signal-to-noise to reproduce the pixel-to-pixel structure of the detector, SExtractor was used to fit a smooth, low-order bicubic spline to the sky background, after first masking all detected sources. The resulting image was then normalized by its mean countrate to produce the sky flat field. The ratio of the F775W sky flat to the ground flat, corrected using the photometrically derived L-flat, shows residuals of less than 1% which are relatively flat across the detector. Thus, the L-flat derived using point-source photometry is nearly identical to the L-flat derived from an extended source. For the ultraviolet HRC filters, the pixel-to-pixel flats are derived from observations of the bright earth. To verify the L-flat technique at visible wavelengths, stellar L-flat observations using the F330W filter were obtained. Then, the ground flats are corrected by the derived ultraviolet L-flat and divided by the earth flat to create a residual image. Again, residuals are less than 1% over the detector. The corner-to-corner gradient in the L-flat correction is ∼5% for F330W, consistent with the trend in L-flat gradient with wavelength seen in Table 2. As more precise, high signal-to-noise sky flats are built up over the next year, detailed comparisons with L-flat solutions from the 47 Tuc data will be possible, with the anticipated redelivery of improved flat fields using the sky flats themselves. 5. L-flat Verification Using 47 Tuc Color-Magnitude Diagrams To verify the photometry derived after the L-flat corrections are applied, features in the color magnitude diagram for 47 Tucanae are examined. More than 3500 stars were matched in the F435W, F555W and F814W filters for the WFC, from one magnitude above the cluster turnoff to four magnitudes down the main sequence. Zero points were added to each bandpass to approximately match the position of the 47 Tuc color-magnitude diagram (CMD) from numerous published sources using standard Johnson-Cousins B, V , and I photometry. In Figure 3, the V vs. B −V and V vs. V −I color magnitude diagrams are shown. The relevant comparison is not the consistency of the zero points (which are arbitrary for this 28 Mack, et al. test), but rather the consistency of CMD features for stars observed over different portions of the detector. In particular, the L-flat corrections are largest in the upper-left and lowerright corners of the detector, so it is natural to consider whether CMDs for these regions are consistent. The nearly horizontal CMD region, which is associated with the transition to subgiants, can be used to test for any positional dependence. Twenty stars were selected from each corner of the 47 Tuc image for the region near V = 17.15 in the CMD. The difference in V magnitude measured between the upper-left and lower-right corners is zero to within 0.6% for regions which are separated by more than 2000 pixels along the diagonal. A test along the opposite diagonal gives a similarly small change. The nearly vertical CMD region near V = 17.7, which is associated with stars nearing the main sequence turnoff, can be used to check for positional dependencies in B and I relative to V . These tests confirm that the photometry is consistent to within several tenths of a percent over the chip. Photometry using the new LP-flats for 47 Tuc in the B, V , and I bands yield excellent CMDs. The ACS CMDs are noticeably tighter than CMDs published from much more extensive WFPC2 observations within the same field (Zoccalli et al. 2001). These results confirm that any field dependence in the point source photometry, caused by inaccurate flat fields, geometric distortion effects, and aperture corrections, is now corrected to within 1%. 6. Summary • Low-frequency flat field corrections have been created for most ACS modes, where the required correction to ground flats is ∼6–18%. The reference files now in the calibration pipeline are accurate to ∼1% over the FOV for most modes. These files are revised LP-flats, derived by dividing the original ground P-flats by the derived L-flat corrections. • For filters which were not directly observed, an interpolated L-flat was derived from the weighted average of the L-flats using the two filters nearest in wavelength. Testing indicates that the interpolated flats are accurate at the 2–3% level. Further study is required to correct these filters to the 1% level. • L-flat corrections for the SBC are underway. Observations of the UV-bright star cluster NGC 6681 were taken in program 9024 for filters F125LP and F150LP. The corrected SBC reference files should be available in the calibration pipeline in early 2003. • Determination of the L-flats for other modes, including the ramp filters, the polarizers, the coronagraph, and the dispersers is still required. • In the ultraviolet, Earth flats will be used to create high signal-to-noise P-flats for the HRC. Earth flats for the bluest HRC and WFC filters will be used to verify the stellar L-flats derived for these filters. • Sky flats will be built-up over time to compare with the corrected ground flats and may eventually replace them. To achieve the required signal to reproduce the pixel-to-pixel structure of the flats, a total of several weeks of integrated time is required. • Observers are encouraged to check the ACS web site for the latest flat field reference files available for recalibration. http://www.stsci.edu/hst/acs/analysis/reference files/flatimage list.html ACS Flat Fields Figure 3. Color magnitude diagrams for WFC observations of 47 Tucanae derived from B, V , and I photometry after applying the L-flat correction. Each WFC exposure is 60 seconds. A precise transformation to the standard B, V , I system has not been attempted, and small color terms may be unaccounted for in the ACS plots. The WFPC2 CMDs are shown for the same field (Zoccali et al. 2001). 29 30 Mack, et al. Acknowledgments. We would like to thank the ACS Calibration and Photometry Working Group for valuable brainstorming sessions related to this work. We also express thanks to Don Lindler for creating the matched-coordinate lists, Gehrhardt Meuer for useful comments and suggestions, Colin Cox for input on velocity aberration, and Tom Brown for sharing his insights on creating L-flats for STIS. References Bohlin, R. C., Hartig, G., & Martel, A. 2001, Instrument Science Report ACS 01-11 (Baltimore: STScI) Mack, J., Bohlin, R. C., Gilliland, R. L., van der Marel, R., Blakeslee, J. P., & de Marchi, G. 2002, Instrument Science Report ACS 02-08 (Baltimore: STScI) Zoccali, M., Renzini, A., Ortolani, S., Bragaglia, A., Bohlin, R., Carretta, E., Ferraro, F. R., Gilmozzi, R., Holberg, J. B., Marconi, G., Rich, R. M., & Wesemael, F. 2001, ApJ, 553, 733 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. On-orbit Sensitivity of ACS M. Sirianni Astronomy Department, Johns Hopkins University, Baltimore, MD 21218 G. De Marchi,1 R. Gilliland, R. Bohlin, C. Pavlovsky, J. Mack Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 and The ACS photometric Calibration Working Group Abstract. Ground measurements of all the components of the Advanced Camera for Surveys (ACS) allow one to predict the sensitivity of each instrument. Soon after the installation of ACS we tested the on-orbit sensitivity. We observed spectrophotometric standard stars with the three channels of ACS to calculate the observed-topredicted count rates ratios. We performed a first order correction of the pre-flight quantum efficiency curve of the detectors to reflect the on-orbit sensitivity measurements. The new curves have been implemented in SYNPHOT which is used by the Exposure Time Calculator. We report the analysis performed for the first order corrections of the sensitivity of the three cameras and the progress in developing an improved sensitivity correction. 1. Introduction It is important to determine the observed throughput of all three cameras of ACS to determine accurate photometric zero points, to determine the feasibility of and exposure times for science programs and finally to calculate transformations to and from other instruments photometric systems. The STSDAS package SYNPHOT can calculate the predicted count rates from sensitivity curves for the telescope, ACS mirrors and windows, filters and detectors. Each camera of ACS consists of several components like mirrors, windows, filters and the detectors. Each system was carefully characterized and tested as part of the ground calibration of the instrument. The results in terms of reflectivity, transmittance or quantum efficiency have been used within SYNPHOT to estimate the exposure time for the first ACS observations during the Servicing Mission Orbital Verification (SMOV). However in some cases the pre-flight measurements could have been done with a fairly sparse wavelength resolution, therefore extrapolation, interpolation and sampling errors can be important. In addition, calibration instruments could have had systematic offsets. A reality check is therefore required for each instrument. With the data acquired in the first part of the SMOV, pre-launch estimates of count rates have been compared with observations to derive modification to the input sensitivity curves. These first observations have been used to derive rough corrections to the sensitivity curves. These correction have been implemented into SYNPHOT at the end of August 2002. Further observations obtained during the summer will permit a fine tuning of the corrections and a better estimate for exposure time prediction. 1 European Space Agency 31 32 2. Sirianni, et al. Observations The observed throughput has been determined using observations of flux standards through a variety of filters (Proposal ID 9029 and 9654, P.I. De Marchi). In particular the spectrophotometric standards GD 71 and GRW +70 5824 have been observed with the WFC and the HRC in April 2002 and July 2002, while for SBC observation of HS 2027+0651 and NGC 6681−STAR 1 have been executed in the same period of time. All the filters have been used for the observations of GD 71, all the broad band filters and the major narrow band filters for the observations of GRW+70. The full set of filters was used for the SBC observation in both epochs. The star was placed at the center of the aperture and two images have been taken through each filter. The exposure times have been selected to reach, on average a signal to noise ratio of ∼350 in the central pixel for broad band filters. The data acquired in April and July have been used to estimate the first order corrections which have been released at the end of August for all three cameras as new SYNPHOT tables. Subsequent observations of GRW +70 and NGC 6681 in August and September 2002 have been used to improve such corrections and they will be available within the end of 2002. 3. Data Reduction and Analysis All the images have been processed using the STScI standard ACS pipeline CALACS and the geometric distortion has been corrected running PyDrizzle. Even if a first assessment of the sensitivity of the camera was done just after the data collection, the final reduction was repeated after the L flats were made available (see Mack et al., this volume). Aperture photometry has been performed in the reduced data, the total counts in a 2.5 radius aperture have been corrected by background contamination using a sky level measured in an annulus between 3.5 and 5 . Predicted count rates have been estimated using the prelaunch response curves and the spectra of the standard stars. The spectra give photon rates as a function of wavelength, which are multiplied by the response curves and are integrated over wavelength. 3.1. WFC For the first order correction the data of April and July 2002 have been used. The application of the L flats greatly reduced the observed discrepancies between WFC1 and WFC2 response which should be the same after the flat field normalization (Bohlin et al. 2002). The observed count rates relative to predicted rates are shown in Figure 1, where each bar represents the average result for the two spectrophotometric standards. The figure shows the presence of systematic errors as a function of wavelength. Ground measurement underestimated the performance of the camera from a minimum of 2% in the red to a maximum of 22% in the blue. The results of WFC1 and WFC2 agree within a couple of percent. Since there is a fairly smooth variation with wavelength we believe that the discrepancy is mostly due to an incorrect measurement of the CCD quantum efficiency or mirrors and windows throughput more than to errors in the filter transmission curves. In order to calculate a correction factor to apply to the sensitivity curve we assign to each ratio in Figure 1 the pivot wavelength of each filter. With such transformation (Figure 2) we can now calculate a correction curve to apply to the predicted response of the camera. We averaged the results obtained with the two standard stars in the two CCDs and fitted a spline function though the points. We needed to contain the fit at the two edges of the spectral range. In the blue side the trend of the two points at λ < 5000 Å suggested a constant value of 1.23 for λ < 4000 Å. In the red side we extrapolate the trend On-orbit Sensitivity of ACS 33 Figure 1. Ratio of observed-to-predicted count rates using our original estimates of response curves. Each bar represents the average results for the two standard stars observed in June and July. of the three measurements at λ > 7500 Å and set the ratio at 11000 Å to 0.88. Figure 2 shows the derived correction curve for the response. We have attempted to make the derived response curve smooth; however, in some wavelength regions, there could be a few percent error in the derived curve. We then used the derived curve to correct the pre-flight Quantum Efficiency (QE) curve of the detector. The new CCD QE curve has been implemented in SYNPHOT since late August. The current version of the exposure time calculator (ETC) will use this new curve. The overall accuracy is now better than 5% in all filters. Subsequent observations of the star GRW+70 in August and September 2002 gave us the opportunity to test the time stability of the sensitivity and to improve the statistics on our measurements. Figure 4 shows the ratio of observed to predicted count rates after application of the correction curve for the response. The residual errors are in general less than 1 or 2%. The two most deviant filters are F606W which shows a residual of almost 3% and the filter F850LP marked as a box in Figure 4. The reason why the filter F850LP shows a residual of almost 6% is that the count rate predictions for the first order correction made in August 2002 where calculated using spectra of the standard stars that did not extend to 11000 Å, the sensitivity limit of the camera, but they were instead truncated at approximatively 10,500 Å. For the new corrections, that will be implemented in SYNPHOT by the end of 2002, a theoretical model of the spectra have been used to cover the missing spectral range. 3.2. HRC As for the WFC, only the data collected in April and July were used to calculate the first order correction for the sensitivity curve. Figure 5 shows the observed count rates relative to the predicted rates using the pre-flight response curves. The panel in the left shows the response in each filter, while the right panel shows the same results as a function of the pivot wavelength of the filters. In general the on-orbit sensitivity is higher than expected; between 5 and 14% in the range λλ 4500–8500 Å. There is however a well defined dip 34 Sirianni, et al. Figure 2. Ratio of observed-to-predicted count rates using our original estimates of the WFC response curves. Circles show the average ratio for the two standard stars and for the two CCDs. The dashed line shows the derived correction curve for the response. Figure 3. Quantum efficiency curve of the WFC CCDs. Dotted line shows the pre-flight measurement. Solid line shows the on-orbit curve after the sensitivity correction. On-orbit Sensitivity of ACS Figure 4. QE curve 35 Ratio of observed to predicted count rates using the new WFC detector Figure 5. Left: ratio of observed-to-predicted count rates using the pre-flight estimates of the response curves for HRC. Right: Circle show the average ratio for the two standard stars observed in June and July. The solid line shows the derived correction curve for the response. between 2500 and 3500 Å where the sensitivity is ∼15% lower than expected. The solid line in the right panel of the figure shows the derived correction curve for the response. The fitted curve nicely reproduce the overall variations in sensitivity, but residual of 5–8% are still possible in some filters. As in the previous case we decided to modify the CCD response to reflect the observed sensitivity. The panel in the left in Figure 6 shows the pre-flight detector QE curve and the on-orbit curve after the sensitivity correction. This curve was implemented in SYNPHOT at the end of August 2002. We repeated the observation of GRW+70 in August and September 2002 with the same instrument configuration. The analysis of the new data shows that the in-flight sensitivity is not affected by variation with time. We used the new observations also to re-test the sensitivity curve with the goal to reduce the residuals and produce a better correction. The right panel of Figure 6 shows the residuals using the average observed counts of GRW+70 in the three repeated observations. The residuals are usually less than 3%. The biggest discrepancy is the filter F850LP for the problem with the spectra used in the initial calibration as explained in the previous paragraph. 36 Sirianni, et al. Figure 6. Left: pre-flight and corrected quantum efficiency curve for the HRC CCD. Right: Ratio of observed to predicted count rates using the new detector QE curve. Figure 7. Left: Preliminary comparison between observed and predicted count rates using the pre-flight response curve for the SBC. Solid line shows the derived correction. Right: Pre-flight and corrected quantum efficiency for the SBC MAMA. New curves will take into account the modification to the spectra of the standard stars at λ > 10500 Å and the derived correction will be calculated iteratively to reduce the residuals. As for WFC the new sensitivity curve is expected to be available by the end of year 2002. 3.3. SBC Observations of HS 2027+0651 and the cluster NGC 6681 have been used to check the onorbit sensitivity of the SBC. At the moment of writing there are no L FLAT available for the SBC. The corrections reported in this paper and implemented in SYNPHOT at the end of August are only approximated and might be different from the final version by several percent. Figure 7 shows the observed-to-predicted count rates ratio and the correction for the MAMA quantum efficiency curve. 4. Conclusion We observed spectrophotometric standard stars with the three cameras of ACS to measure the on-orbit sensitivity. The response of the WFC is higher than expected from ground measurement; from a few percent in the red up to ∼ 20% in the blue. The HRC sensibility On-orbit Sensitivity of ACS 37 is higher than expected in the visual and red but it shows an unpredicted dip in the blue. Finally, preliminary analysis on SBC data shows that the on-orbit sensitivity could be higher in the far UV and slightly lower in the near UV with respect to pre-flight estimations. Corrections of the sensitivity have been applied to the detector quantum efficiency curves. The first corrections, implemented in SYNPHOT at the end of August 2002, reduce the observed-to-predicted discrepancy to less than 5%. Follow up observations of the same standard star in August and September are being used to improve the sensitivity corrections. Repeated observation the spectrophotometric standards gave us also the opportunity to calculate the on-orbit encircled energy profile on most of the ACS filters. Since all the stars are isolated we were able to perform aperture photometry with aperture radii from 0 to 4 arcsec. The sky level was determined in the external annulus between 5 and 6 arcsec. The result will be used to update the prediction of the ETC and to provide users an estimate of the aperture correction. Once the final sensitivity correction are available, synthetic zero points will be computed for all filters and transformations to and from other instruments photometric systems will be also calculated (Sirianni et al. 2003). References Bohlin, R. C., Hartig, G., & Sparks, Wm. 2002, Instrument Science Report ACS 02-03 (Baltimore: STScI) Mack, J., et al. 2003, this volume, 23 Sirianni, M., et al. 2003, in preparation 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. The Wavelength Calibration of the WFC Grism A. Pasquali, N. Pirzkal and J. R. Walsh ESO/ST-ECF, Karl-Schwarzschild-Strasse 2, D-85748 Garching bei München, Germany Abstract. We present the wavelength solution derived for the G800L grism with the Wide Field Channel from the spectra of two Galactic Wolf-Rayet stars, WR 45 and WR 96. The data were acquired in-orbit during the SMOV tests and the early INTERIM calibration program. We have obtained an average dispersion of 39.2 Å/pix in the first order, 20.5 Å/pix in the second and −42.5 Å/pix in the negative first order. We show that the wavelength solution is strongly field-dependent, with an amplitude of the variation of about 11% from the center of the WFC aperture to the corners. The direction of the field-dependence is the diagonal from the image left top corner (amplifier A) to the bottom right corner (amplifier D). These trends are observed for all grism orders. We also describe the calibration files derived from the SMOV and INTERIM data which are used by the ST-ECF slitless extraction code aXe. 1. Introduction The Advanced Camera for Surveys (ACS) has been designed to perform low-resolution, slitless spectroscopy over a wide range of wavelengths, from the Lyα line at λ = 1216 Å to ∼ 1 µm. One optical grism, one blue prism and two near-UV prisms cover this range and are coupled with the Wide Field (WFC) and High Resolution (HRC) Channels, the HRC and the Solar Blind Channel (SBC) respectively. The WFC and the HRC make use of the same grism, G800L which works between ∼ 5500 Å and ∼ 1 µm. Its nominal dispersion is ∼ 40 Å/pix and ∼ 29 Å/pix in first order for the WFC and HRC respectively. The HRC also features a prism, PR200L, which covers the spectral range between ∼ 2000 Å and 5000 Å, with a non linear dispersion varying from 2.6 Å/pix at λ = 1600 Å to 91 Å/pix at λ = 3500 Å and 515 Å/pix at λ = 5000 Å. The SBC is equipped with two prisms, PR110L and PR130L which range from ∼ 1150 Å and 1250 Å to 2000 Å with a resolving power of ∼ 80 and ∼ 100, respectively, at λ = 1600 Å. In particular, PR130L does not include the geocoronal Lα line for low background measurements. Pasquali et al. (2001b) showed that the high angular resolution of the ACS may easily decrease the effective resolution of the grism, since, when no slit is used, the grism nominal resolution is convolved with the object size along the dispersion axis. The extension of any grism spectrum along the cross-dispersed direction is set by the size of the object which acts as an extraction aperture. This is also an additional source of degradation when the whole spectrum is summed along the cross-dispersion axis. The amplitude of these effects was investigated by simulating with SLIM 1.0 (Pirzkal et al. 2001b) the spectrum of the Galactic planetary nebula NGC 7009, and by increasing the linear size of the object as well as its orientation in the sky. The simulated grism spectra indicated that line blending becomes severe when objects are observed with a diameter 38 The Wavelength Calibration of the WFC Grism 39 larger than 2 pixels (0.1) and with a major axis at PA > 45o with respect to the dispersion axis (cf. Pasquali et al. 2001b). These limits pose strong constraints on the selection of targets for the in-orbit wavelength calibration of the ACS spectral elements. Indeed, such calibrators have to be sorted by: 1. high brightness, to allow for short exposure times and time-series observations across the field of view; 2. a large number of emission lines in their spectra; 3. the absence of an extended nebula, which would otherwise degrade the spectral resolution; 4. negligible spectro-photometric variability, to be able to identify emission lines at any observation epoch; 5. minimum field crowding, to avoid contamination by spectra of nearby stars; 6. visibility, to allow repeated HST visits. The above set of requirements rules out planetary nebulae (PNe) as possible wavelength calibrators, at least in the case of the optical G800L grism. Indeed, PNe are resolved by HST up to the Large Magellanic Clouds and hence do not meet requirement #3, while PNe in M31 are compact enough but faint and therefore can not fulfil requirements #1, 6 and 5 as they also lie in crowded fields (Pasquali et al. 2001a). Wolf-Rayet stars (WRs) of spectral type WC have been shown to satisfy all the requirements, at the expense of introducing a further constraint which concerns the velocity of their stellar wind. Indeed, the wind velocity in WRs can be as slow as 700 km s−1 and as fast as 3300 km s−1 (cf. van der Hucht 2001). A typical wind speed of 2000 km s−1 produces a line broadening of about 1.3 and 1.9 pixels in the grism first order with the WFC and the HRC, respectively. Therefore, to limit the loss of resolution due to objects with broad emission lines, WR stars should be selected with Vwind ≤ 2000 km s−1 (Pasquali et al. 2001a). 2. The Observational Strategy We eventually selected two Galactic WR stars from the VIIth Catalogue by van der Hucht (2001) which meet the listed criteria. Their basic properties, coordinates, V magnitude and wind velocity are in Table 1. Table 1. The WR Stars Selected for the Wavelength Calibration of the ACS Grism Star WR 45 WR 96 Spectral type WC6 WC9 RA (2000) DEC (2000) V mag 11:38:05.2 17:36:24.2 −62:16:01 −32:54:29 14.80 14.14 Wind speed (km s−1 ) 2100 1100 Both stars had been observed from the ground with the ESO/NTT EMMI spectrograph with the purpose to acquire high-resolution spectra which would be later used as templates for the comparison with the ACS grism observations. The EMMI spectra of WR 45 and WR 96 are plotted in Figure 1, where the dispersion is 1.26 Å/pix. 40 Pasquali, et al. Figure 1. The spectra of WR 45 and WR 96 acquired with the ESO/NTT EMMI spectrograph with a dispersion of 1.26 Å/pix. 2.1. Observations During the SMOV Tests WR 45 was observed as part of the Servicing Mission Orbital Verification (SMOV) tests (ID 9029, PI Pasquali), at the end of April to early May 2002. Spectra were taken at five different pointings across the field of view (f.o.v) of the WFC: W1 close to the center of chip 2, W3 and W5 close to amplifiers C and D of chip 2 and W7 and W9 close to amplifiers A and B in chip 1. These pointings are shown in Figure 2. At each position, a pair of direct and grism images were acquired, and repeated two to four times, either in the same visit or in a subsequent one to verify the stability of the filter wheel positioning. The direct image, which provides the zero point of the grism dispersion correction, was taken in the F625W and F775W filters, in order to check the target position stability with wavelength. The adopted exposure times were 1 s for the direct imaging and 20 s for the grism. 2.2. Observations During the INTERIM Program WR 96 was observed during the INTERIM calibrations (ID 9568, PI Pasquali) in June 2002. The observational strategy was similar to WR 45, but the number of individual pointings was increased to 10 by adding to the SMOV positions the W2, W4, W8, W10 pointings and the centre of chip 1 (cf. Figure 2). Monodimensional spectra of WR 45 and WR 96 were extracted from the raw, non drizzled images using the ST-ECF slitless spectra extraction code, aXe (Pirzkal et al. 2001a, http://www.stecf.org/software/aXe/index.html). 3. The Grism Characteristics The extraction of slitless spectra relies on a number of parameters: 1. the shift in the X and Y coordinates between the position of the target in the direct image and the position of the zeroth order in the grism image; 2. the tilt of the spectra; The Wavelength Calibration of the WFC Grism 41 Figure 2. The pointings across the f.o.v of the WFC used during the SMOV and INTERIM observations. 3. the separation in pixels along the dispersion axis of the nth grism order from the zeroth; 4. the length in pixels along the dispersion axis of each grism order. While the shift allows a spectrum to be identified in the grism image given the coordinates of the target in the direct image, the tilt enables it to be traced. The separation and the length of the grism orders are used to set the extraction aperture for each order spectrum. Because of the severe geometric distortions in the WFC, these quantities are expected to be field-dependent. 3.1. The X- and Y -shifts The X- and Y -shifts could be measured for all the pointings, except W7 and W8 whose zeroth orders fall outside the physical boundaries of the grism image. The remaining are listed in Table 2 in units of pixels; they are the difference between the target position in the direct image and the zeroth order coordinate in the grism image. The values are averages among multiple measurements available for each pointing. The standard deviation is typically 0.1 pixels. A decrease can be recognized for the Y -shift along the diagonal from amplifier A (W7 position) to D (W3 position). 3.2. The Tilt The tilt of the spectra was derived by fitting the (X, Y ) coordinates of the emission line peaks along the dispersion axis, measured from the negative third to the positive third order (the negative orders at smaller x pixels than the zeroth order x coordinate, the positive ones at larger x pixels). A first order polynomial was used to determine the slope of the spectra with respect the X axis. Repeated measurements were averaged and the standard deviation of the spectra tilt was determined to be typically of 0o.02. The average tilt is shown in Table 2 as a function of position in the WFC. On average, the tilt of the grism spectra in the WFC is −1o.98, and it is field-dependent as it increases along the W7–W3 diagonal by 1o.1. 42 Pasquali, et al. Table 2. The X- and Y -shifts and the Spectra Tilt across the WFC Aperture Position W1 W2 W3 W4 W5 W7 W8 W9 W10 Chip1 center 3.3. X-shift (in pixels) 113.02 120.02 102.02 106.32 115.24 Y -shift (in pixels) −3.14 −3.56 −1.85 −2.88 −2.77 112.83 108.15 117.32 −4.57 −3.39 −4.18 Tilt (in degrees) −1.91 −1.95 −1.43 −1.85 −1.53 −2.52 −2.11 −2.32 −1.95 −2.25 The Separation and Length of the Grism Orders The distance in pixels of the grism orders from the zeroth order and their approximate length were measured by counting the pixels along the X axis whose counts are 3σ above the background level. The mean length and FWHM of the zeroth order are 23 and 4.4 pixels, respectively. The average (across the f.o.v of the WFC) order separations and lengths are listed in Table 3 in pixels. Table 3. The Separation from the Zeroth Order and the Length in Pixels of the Grism Orders (from the SMOV data) Parameter Separation Length 4. 1st ord. 93 156 2nd ord. 251 125 −1st ord. −122 102 −2nd ord. −247 111 The Method of Wavelength Calibration The grism spectra were extracted in both units of pixels and wavelength adopting for the latter the wavelength solutions derived from the ground calibrations of the ACS. This allowed us to derive the mean FWHM in Å of the lines in each grism order. The NTT/EMMI template spectra of WR 45 and WR 96 were then convolved by these mean FWHMs, their lines reidentified and the line wavelengths re-measured. The position in pixels of the same lines was measured in the ACS grism spectra with respect to the target X position in the direct image and tables of pixels vs. wavelengths were built. Each table was then fitted with the routine POLYFIT in IRAF and a wavelength solution was determined for each grism order. This procedure was applied to each grism spectrum in all positions across the f.o.v of the WFC. The Wavelength Calibration of the WFC Grism 43 Figure 3. The grism first order spectra acquired for WR 45 at position W1 (left) and WR 96 at the centre of chip 1 (right). 5. The Wavelength Solutions for the WFC and G800L Grism In this proceeding we present the wavelength solutions (and their field-dependence) computed for the grism first, second and negative first orders which are the brightest. A field map of the dispersion correction for the grism third, negative second and negative third orders can be found in Pasquali et al. (2003). 5.1. The Grism First Order An example of the grism first order as obtained in position W1 and at the centre of chip 1 is shown in Figure 3 for WR 45 (left) and WR 96 (right). The dispersion correction for the grism first order is reproduced by a second order polynomial of the form: λ = λ0 + ∆λ0 X + ∆λ1 X 2 , where X is the distance along the dispersion axis from the target X position in the direct image. The wavelength solutions obtained for the ten pointings are reported in Table 4. The tabulated values are averages of multiple measurements of the dispersion parameters derived for each pointing. The typical RMS associated with the fits is 3 Å/pix, while the typical error on λ0 is 7 Å. The uncertainty in the first-order term of the dispersion (∆λ0 ) is 0.2 Å/pix. Table 4. The Wavelength Solutions Obtained for the Grism First Order as a Function of Position across the f.o.v of the WFC Position W1 W2 W3 W4 W5 W7 W8 W9 W10 chip 1 center λ0 (Å) 4815.25 4777.62 4811.80 4760.06 4803.95 4800.86 4772.51 4795.39 4777.90 4787.27 ∆λ0 (Å/pix) 39.79 37.28 44.03 41.94 39.13 35.09 36.23 39.64 40.83 37.82 ∆λ1 (Å/pix2 ) 0.0099 0.0098 0.0096 0.0108 0.0097 0.0068 0.0098 0.0095 0.0130 0.0112 The first order dispersion (∆λ0) is clearly field-dependent: it worsens along the diagonal from the W7 (the pointing with the highest dispersion) to the W3 position (lowest 44 Pasquali, et al. Figure 4. The grism second order spectra acquired for WR 45 at position W1 (left) and WR 96 at the centre of chip 1 (right). dispersion) by 22% of the value at position W1. Alternatively, it can be said that the amplitude of the field-dependence between the centre of chip 2 and the W3 and W7 corners is 11% of the value in the W1 position. 5.2. The Grism Second Order The grism second order spectra obtained in the W1 position and at the centre of chip 1 are plotted in Figure 4 for both WR 45 and WR 96. The second order overlaps with the first order at λ 5400 Å and does not extend beyond 9000 Å. For these reasons, the wavelength solution was determined with a first-order polynomial fit, i.e., λ = λ0 + ∆λ0 X, where X is again the distance along the dispersion axis from the target X position in the direct image. The results are listed in Table 5. As for Table 4, these values are averages among multiple measurements available at each pointing. Typical standard deviations are 0.1 Å/pix and 7 Å on the dispersion and zero point, respectively. The RMS values of the fits are about 3 Å. Table 5. The Wavelength Solutions Obtained for the Grism Second Order as a Function of Position across the f.o.v of the WFC. Position W1 W2 W3 W4 W5 W7 W8 W9 W10 chip 1 center λ0 (Å) 2432.38 2400.40 2445.01 2411.01 2405.74 2411.48 2391.95 2418.70 2409.33 2406.73 ∆λ0 (Å/pix) 20.75 19.63 22.85 21.89 20.54 18.33 19.13 20.72 21.56 19.98 The field dependence noticed earlier for the grism first order is also present in the dispersion of the second. The amplitude of the dispersion variation from center to the W7 and W3 corners is about 11% of the dispersion in the W1 position. Once again, the dispersion decreases along the diagonal from W7 to W3. The Wavelength Calibration of the WFC Grism 45 Figure 5. The grism negative first order spectra acquired for WR 45 at position W1 (left) and WR 96 at the centre of chip 1 (right). 5.3. The Grism Negative First Order The negative first order spectra of WR 45 and WR 96 are shown in Figure 5. Since the resolution is here lower than for the positive first order and the noise higher, the wavelength solution of the negative first order was fitted with a first-order polynomial, λ = λ0 + ∆λ0 X where X is the distance in pixels along the dispersion axis from the target X position in the direct image. The measurements of dispersion and zero point obtained from multiple spectra acquired at the same pointing were averaged and are presented in Table 6. Table 6. The Wavelength Solutions Obtained for the Grism Negative First Order as a Function of Position across the f.o.v of the WFC. Position W1 W2 W3 W4 W5 W7 W8 W9 W10 chip 1 center λ0 (Å) −4820.51 −5026.08 −4882.90 −4808.92 −4995.32 ∆λ0 (Å/pix) −41.71 −40.05 −46.48 −44.37 −41.54 −4858.67 −4862.51 −4784.49 −41.96 −43.81 −40.14 Since W7 and W8 positions are closer to the edge of the field than W5 (cf. Figure 2), the negative first order falls physically outside the frame. Nevertheless, a variation in the dispersion of about 11% of the value in W1 is still detected between the W1 and W3 positions. The standard deviation is 0.1 Å/pix and 27 Å on the dispersion and the zero point, respectively. The typical RMS of the first-order polynomial fits is 9 Å. 6. Products Delivered to Users The average dispersion coefficients derived for the ten positions across the f.o.v of the WFC have to be parametrized as a function of position in order to extract and calibrate 46 Pasquali, et al. spectra anywhere within the WFC aperture. We thus derived a two dimensional fit for each parameter of the dispersion solutions of each grism order, where each parameter is a function of the (X, Y ) coordinates of the target in the direct image. These 2D fits were perfomed by adopting surface fits polynomials. The same was also done for the X- and Y -shifts, the tilt of the spectra, the orders separation and length. The above fits are stored in calibration files used by the ST-ECF slitless spectra extraction code aXe (Pirzkal et al. 2001a) and are delivered together with the software package. Once the wavelength solution was determined, the flat-field correction and the flux calibration using the SMOV and INTERIM spectra of two white dwarfs, GD 153 and G191B2B could be formalised. This is fully described in Pirzkal et al., this volume, p. 74. It is also possible, at this stage of the calibrations, to correct the extracted spectra for CCD fringing. The modeling of the WFC fringing is explained in detail in Walsh et al., this volume, p. 90. References van der Hucht, K. A. 2001, The VIIth Catalogue of Galactic Wolf-Rayet Stars, New AR, 45, 135 Pasquali, A., Pirzkal, N., & Walsh, J. R. 2001a, Selection of Wavelength Calibration Targets for the ACS Grism, ST-ECF Instrument Science Report ACS 2001-04 Pasquali, A., Pirzkal, N., & Walsh, J. R. 2003, The In-orbit Wavelength Calibration of the WFC Grism, ST-ECF Instrument Science Report ACS 2003-01, in preparation Pasquali, A., Pirzkal, N., Walsh, J. R., Hook, R. N., Freudling, W., Albrecht, R., Fosbury, R. A. E. 2001b, The Effective Spectral Resolution of the WFC and HRC Grism, ST-ECF Instrument Science Report ACS 2001-02 Pirzkal, N., Pasquali, A., & Demleitner, M. 2001a, ST-ECF Newsletter, 29, 5 Pirzkal, N., Pasquali, A., Walsh, J. R., Hook, R. N., Freudling, W., Albrecht, R., & Fosbury, R. A. E. 2001b, ACS Grism Simulations using SLIM 1.0, ST-ECF Instrument Science Report ACS 2001-01 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Growth of Hot Pixels and Degradation of CTE for ACS A. Riess Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The anneal rate of hot pixels on the ACS WFC is ∼60%–65%, significantly lower than the characteristic anneal rate of 80–85% seen for other CCDs flown on HST (i.e., WFPC2, STIS, and ACS HRC). The ACS WFC is annealed in the same way as the other HST CCDs and there is no firm understanding at this time of the source of the difference. After ∼7–8 successive anneals, the cumulative fraction of annealed pixels reaches an apparent plateau at ∼70%. The fitted, successive annealing function is used to project forward in time the expected fractional coverage of the CCD by hot pixels. Approximately 2 years after launch the coverage by hot pixels is expected to exceed that by cosmic rays in a ∼1000 sec exposure. At the nominal end of the HST mission (2010) the coverage by hot pixels would be ∼6%, i.e., one out of every 16 pixels. Because hot pixels are readily flagged and corrected or discarded they do not pose a serious threat to science observations, but their growing presence require careful dithering and consideration. For CTE, internal tests such as the cosmic ray tail measurements show the degradation of CTE on ACS which is most pronounced for WFC. Simple scaling from WFPC2 provides some quantitative estimates for photometry. 1. Introduction The anneal rate of new hot pixels (dark current > 0.04 e/s) on the ACS WFC has been a disappointingly-low ∼60% in the first 8 monthly anneal cycles of the instrument (Riess, Mutchler, Van Orsow 2002, Instrument Science Report 02-06). This rate is significantly lower than the observed and characteristic value for other HST CCDs; 80–85% for WFPC2, STIS, and ACS HRC. The anneal rate is significantly less than 60% for pixels which are much hotter than 0.04 e/s. The likely consequence of poor annealing is a greater fractional coverage of the camera by pixels with elevated dark current than the experience of other HST CCDs. The reason for the low anneal rate for the ACS WFC is not clear at this time. The WFC is annealed at approximately the same temperature (∼+20 C), for no shorter a time interval (∼24 hours) and with the same frequency (monthly) as the other instruments. The answer may lie in the details of the manufacturing process of the CCD or in the way in which the CCD is read-out. Expert CCD consultants have been unable to provide a reliable explanation for the poor annealing (private communication, Blouke and Janesick). One possibility may involve a difference in the way the chip is operated during integration and read-out. During integration the chip is used in MPP mode, but when it is read-out, it is switched to non-MPP mode. This results in “turning-on” the Si-SiO interface states that are normally passivated when integrating in MPP mode. (Mark Clampin, private communication). Unfortunately the chip electronics dictate this switching which cannot be disabled, even for a test. Here we seek to quantify, empirically model and project forward in time the likely future population of hot pixels on the ACS WFC. Using our predictive model we then test the utility of increasing the frequency of anneals to bi-monthly. 47 48 Riess Figure 1. The growth of WFC hot pixels (dark current <0.04 e per s) with time (log scale). The “saw-tooth” pattern reflects the continual production and monthly annealing of hot pixels. Anneals heal ∼60% of new hot pixels. 2. Observations The characteristic “saw-tooth” pattern of the growth and annealing of hot-pixels seen for ACS WFC during the first two anneal cycles (and all other CCDs flown on HST ) has continued through the ensuing 6 anneal cycles. New hot pixels with dark current > 0.04 e/s (a number which is ∼18 times and ∼13 standard deviations above the mean dark current) steadily develop at a rate of ∼1200 pixels per day (see Figure 1). Once a month, the CCD is annealed and between 60% and 65% of the hot pixels created during the preceding month return to normal dark current production. Without any annealing, ∼10% of the CCD would be covered by hot pixels by early 2006. For the 40% of “persistent” hot pixels which do not anneal at their first opportunity, the likelihood that they anneal in any future anneal drops precipitously, a result which is consistent with WFPC2 and the ACS HRC. Current projections for the hot pixel coverage of WFC are highly dependent on both the anneal rate of new hot pixels as well as the anneal rate of the persistent hot pixels. New hot pixels which fail to “heal” become increasingly unlikely to heal in each successive anneal. After approximately 7 or 8 anneals (the total number of anneal cycles we have observed to date) the cumulative anneal rate reaches an apparent plateau for pixels which became hot during the first or second anneal cycle (i.e., in April or May or 2002). The “persistent-pixel-annealing function,” as seen in Figure 3, can be approximated by a simple series of monthly anneal rates of 62%, 6%, 5%, 4%, 3%, 2%, 1%, 0%. After 7 or 8 anneal cycles a cumulative fraction of ∼70% of hot pixels will have been annealed leaving ∼30% to remain hot (presumably for the long term). Using this function we can project forward in time the expected hot pixel population. The result are Figures 1 and 2. Using as a reference the fractional WFC coverage by cosmic rays in a 1000 sec exposure (∼1.5%), we expect to reach this coverage by hot pixels less Growth of Hot Pixels and Degradation of CTE for ACS Figure 2. 49 As Figure 1 on a linear scale. than 2 years after launch or by the beginning of 2004. We would project a ∼3% coverage by ∼4 years after launch or by early 2006. We stress that accurate projections are difficult and grow more uncertain with the time interval of the projection. For comparison, 2.5% of WFPC2 is currently covered by hot pixels (dark current > 0.02 e/s). However, a comparison between WFPC2 and ACS WFC coverage by hot pixels must account for the difference in the dark current limit used to define a hot pixel. For WFPC2 the limit is 0.02 e/s or half of the ACS WFC value. A simple correction derived from ACS WFC is that there are 1.4 times as many hot pixels at the WFPC2 threshold as for the ACS threshold. Using this conversion we conclude that currently ACS WFC has 1/3 the fractional coverage by hot pixels as currently exhibited by WFPC2. 2.1. Would Bi-Monthly Annealing Help? Would bi-monthly annealing help reduce the long term growth of hot pixels? The evidence in hand suggests it would not. If the persistent-pixel-annealing function really does reach a plateau (as indicated by the data; see Figure 3) then simply increasing the number of anneals (or their frequency) would have negligible impact in the long term. Another way in which bi-monthly annealing would differ from the current monthly annealing (and perhaps yield better results) is by reducing the mean time interval between the formation and attempted annealing of a hot pixel (from ∼14 days to ∼7 days). However, comparisons of the anneal rate for hot pixels formed at the beginning and at the end of an anneal cycle indicate that the anneal rate does not depend on this time interval. For both the ∼30 day old and the ∼1 day old hot pixels, the anneal rate was the same ∼60% and the cumulative anneal rate after 8 cycles was ∼70%. Therefore, simply decreasing the interval between annealings would not appear to have an impact. Given our generally poor understanding of the anneal process we cannot rule out the possibility that bi-monthly annealing could impact the anneal rate in some more subtle way. 50 Riess Figure 3. The cumulative fraction of hot pixels which are healed after successive anneals. Hot pixels formed during the first anneal cycle (April 2002) are shown as open symbols while the asterisks show those formed during the second anneal cycle (May 2002). After the first anneal which is ∼63% successful, succeeding anneals are less successful and after ∼7–8 anneals the cumulative anneal rate reaches an apparent plateau. We can only say at this time the data indicates it will not help and that bi-monthly annealing is probably not a solution to the rapid hot pixel growth on WFC. We do recommend further study of this problem which might culminate in additional experiments. From past experience with other HST instruments, it has been shown that the length of time of the anneal is not an important parameter. However, other possibilities might include (but are not limited to) warming the CCD by pointing at the bright Earth during the anneal (or other ways of increasing the temperature of the CCD during the anneal), reading out the CCD during the anneal to increase the energy available to the lattice to break the bonds of the damaged site of the crystal, annealing during warm attitudes, or running the CCD colder to reduce the dark current in the already hot pixels. 2.2. Science Impact Because the location of hot pixels is known from dark frames, they are readily flagged and discarded. In principle they can be corrected without discarding, but because the noise in hot pixels is greater than Poisson, corrections are of only limited value. The best strategy for mitigation is dithering. For a well-dithered image, a given fractional coverage by hot pixels of the CCD represents an equal fractional reduction in the effective exposure time. Over the next few cycles this will result in an effective reduction of exposure time of 2%–3% which will have little to no science impact. For searches for rare and faint transients (e.g., high-redshift supernovae), an additional exposure (e.g., 5 instead of 4 in an orbit) may be required in future cycles to insure each pixel is clean from contamination. Alternatively, contemporaneous dark frames can be used to reject transients found in the position of hot pixels. It is possible that a reduction in the operating temperature of the ACS WFC due to the aft-shroud cooling system could further mitigate the hot pixel problem by reducing the dark current of hot pixels. Upcoming tests include raising the temperature of the camera. Growth of Hot Pixels and Degradation of CTE for ACS Figure 4. Degradation of ACS WFC CTE from cosmic ray tails. Figure 5. Degradation of ACS HRC CTE from cosmic ray tails. 51 52 Riess Stellar loss= worst ave e- in CTE Tails 50 WFPC2 40 el rall 30 20 e- in CTE Tails 40% 6% 30% 5% TE Serial C 10 -10 50 20% 3% 10% 2% 1995 1996 1997 1998 1999 TE ACS WFC 40 30 ed ect lC alle Par j Pro 20 10 Projected Serial CTE 0 2003 2004 2005 2006 2007 -10 0 2.3. E CT Pa 0 Figure 6. 50% 8% 500 1000 1500 2000 Days Since Launch Projected ACS WFC CTE degradation versus WFPC2. CTE It’s too early and the data is not yet available to determine the impact of imperfect CTE on photometry. However, we have used internal diagnostics to determine the relative degradation of CTE on WFC and HRC. As seen in Figures 4, 5, 6 of this paper, only the WFC parallel is getting markedly worse. Even this level is still not bad. Using a simple scaling from WFPC2 we would expect typical sources in the middle of the chip with average background to have only ∼1% to 2% losses to CTE (but as much as 5% to 10% in the worst cases such as very faint sources on little background at the edge of the chip). However, until an external measurement is available (in early 2003) its too soon to provide a calibration of CTE for ACS. Acknowledgments. We wish to thank Mark Clampin, Doug van Orsow, Max Mutchler, Roeland van der Marel, Marco Sirianni and members of the ACS and ID Teams for helpful discussions. 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. ACS Calibration Software W. B. Sparks Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The current status of ACS calibration software is described, with emphasis on the correction of geometric distortion. Plans for the future are outlined, as are a variety of support utilities which we anticipate providing. 1. Overview The Advanced Camera for Surveys (ACS) calibration pipeline has been processing science observations for about 6 months. From the outset the pipeline processing environment has supported On-The-Fly-Reprocessing, or OTFR. Indeed, for the majority of people, OTFR will be the most relevant mode of operation. Clearly, not everything is done by the pipeline, and often parameters need adjusting for specific data sets, so stand-alone use of the ACS software tools is also encouraged. A significant number of utilities are provided within the “pyraf” environment which also gives access to the normal suite of iraf/stsdas software. The initial pipeline processing of ACS data is accomplished with calacs, and the subsequent correction for geometric distortion and associated image combination is accomplished with PyDrizzle. The latter includes mapping the two 4096 × 2048 chips onto a single image. Some of the calibration observations are obtained essentially contemporaneously with the data, in particular the daily darks which track the growth of hot pixels. These calibration observations require accumulation of data through a (partial) anneal cycle, processing and delivery to support the pipeline, hence there is an unavoidable delay before the best reference files are available for use. In addition there are occasional updates to calibration as new information becomes available, such as photometric measurements. Information on the appropriate reference files may be found on the ACS web page at STScI. Hence, in general both new observers and archival investigators should expect to use OTFR when they retrieve their data. Below, the operations performed in the ACS calibration pipeline are described as well as some description of the ACS stand-alone software tool usage. We recognize that there is a need for improved cosmic ray rejection software, and we are actively working on this as well as on providing a number of additional support utilities. 2. ACS Pipeline Processing At the time of writing, the current version of calacs is 4.1c. This software performs basic standard image reductions. For the CCDs, it debiases, subtracts the dark frame, and flatfields the data. Shutter shading and pre-flash can be corrected for. Known bad pixels and saturated data are flagged and if a CR-SPLIT has been specified, calacs will perform cosmic ray rejection. For the MAMA detectors a global linearity correction is applied. Finally, photometric keywords and image statistics are computed. PyDrizzle 3.3d currently runs on the output products of calacs. PyDrizzle geometrically corrects the data and provides image combination if appropriate. The final drz image is a single fits file containing three extensions. The first, SCI, is the (single) science image in 53 54 Sparks units of “count rate,” and the other two images are weight and context. The weight image provides the weight of the pixel as used by drizzle (see drizzle documentation elsewhere, Fruchter & Hook 2002) and the context image is a bitmap giving information on which images contributed to the output pixel. The convention adopted for flat-fielding is that of “sky-flat”; hence the geometrical area of a pixel imprints itself on the flat-field, in addition to the photometric “sensitivity” of the pixel. Drizzle accounts for this effect and final output drz images are intended to be fully photometrically corrected. By contrast, if the flat-fielded images are analysed prior to geometric correction with drizzle, then allowance must be made explicitly for the pixel area. A utility to provide a pixel-area map is in test. Adopting the OTFR philosophy above, calibrated ACS data are not archived: only the raw observations are archived. Detailed descriptions of calacs may be found in the ACS Instrument Handbook (Pavlovsky et al. 2002), through the STScI ACS web site, and in a series of Instrument Science Reports (ISRs) for ACS, also available through the STScI ACS web pages. These include ACS Instrument Science Reports 99-03 (Hack 1999a), 99-04 (Mutchler et al. 1999a), 99-06 (Van Orsow et al. 1999), 99-08 (Hack 1999b), 99-09 (Mutchler et al. 1999b), 00-03 (Sparks et al. 2000), 01-10 (Sparks et al. 2001), and a new Instrument Science Report currently in review (Sparks et al. ISR 02-TBD). Detailed description of PyDrizzle may be found through the STScI web site, in particular http://www.stsci.edu/hst/acs/analysis/drizzle, with additional documentation in the ACS Instrument Handbook (Pavlovsky et al. 2002), the ACS Data Handbook (Mack et al. 2002), and Hack (2002), Hack et al. (2003). 3. Dithering, Drizzling and PyDrizzle There are two related issues that can be dealt with simultaneously using drizzle. The first is that ACS has significant internal geometrical distortion. Knowledge of the distortion is captured in the reference file “IDCTAB” which uses fourth-order polynomials. This distortion is implicit in the flat fields, since the flat-fielding convention we adopt is of skyflats. Drizzle corrects for this distortion in a photometrically valid fashion. The second issue is that the observing system for ACS (and other instruments) allows for “dithered” observations. That is, a sequence of exposures can be specified with the telescope pointing shifted slightly between observations. These small offsets serve to help eliminate bad pixels and hot pixels, span the gap between the chips, and improve pixel sampling somewhat. The same guide stars are used for a dither sequence, offering the necessary high accuracy in relative pointing for image combination. The data from a dither sequence are formally “associated” in the pipeline, and drizzle combines all the images in the association. Larger regions may be covered using “mosaic” sequences, however these would not use the same guide stars and the resulting data do not form a formal “association” in the pipeline. The drizzle software (Fruchter & Hook 2002) available in the stsdas.dither package combines multiple, offset images and corrects for geometric distortions. In order to implement drizzle for ACS (and for other instruments too) a python wrapper for drizzle, “PyDrizzle,” was written by Warren Hack. This interfaces to the core drizzle routine, and the two are maintained separately (drizzle by Hook and Fruchter). PyDrizzle provides a versatile and powerful but convenient interface to drizzle. It generally uses as its input an “association table” which simply provides a set of images for processing. The inital implementation of PyDrizzle in the pipeline aims to be robust and conservative, by means of default parameter settings. It provides no sub-sampling nor iteration for cosmic ray rejection. It does however provide geometrical correction and photometric correction as well as putting into place the infrastructure required for our upgrade path. ACS Calibration Software 55 For the case of CR-SPLIT observations, cosmic ray rejection is achieved in the usual way with acsrej . The initial implementation of PyDrizzle is described in detail in the Instrument Science Report ACS 01-04 (Sparks, Hack & Hook 2001). In stand-alone mode, access is provided to all parameters, so, for example, it is possible to correct, combine, rotate, position and subsample data with a one-line command. Also, in stand-alone mode it is possible to generate an association using data that were not originally associated at the proposal writing stage. This is a very powerful enhancement of analysis capability. The utility “BuildAsn,” available in pyraf and written as part of the PyDrizzle support effort, constructs an association table from any appropriate data set. Such a data set may be, for example, all archival observations of a particular galaxy taken at different times, pointings and orientations, but using the same filter and substantially overlapping. Positional misregistrations in image World Coordinate Systems are the norm under such circumstances, arising primarily from uncertainties in the guide star catalog. It is possible, however, to provide corrections in the association table, PyDrizzle will recognize these offsets and adjust the positional information appropriately. 4. Upgrade Path: MultiDrizzle The only cosmic ray rejection currently provided is for the case where CR-SPLIT observations are acquired. However, the utilities available in the stsdas dither package offer a much more powerful set of options, see Koekemoer et al. (2002a). A typical combination of such utilities is available in the script “MultiDrizzle”, developed by Anton Koekemoer, which uses capabilities that may be found in the stsdas dither package, but which interfaces to PyDrizzle rather than drizzle directly (see Koekemoer 2002b). Specifically MultiDrizzle performs the following steps: • sky subtract • drizzle individual images separately • tweak registration information (1) • median combine the individually drizzled images • “Blot” the result back to the original data sets • identify cosmic rays on individual images driz cr • tweak registration information (2) • drizzle the data again, combining into a single image “Blot” is the reverse operation to drizzle and is available as part of PyDrizzle already. In order to process data in this way, it is necessary to run calacs with the flag EXPSCORR set to PERFORM. This then causes all individual images to be processed with calacs through to the flat-fielding stage. Currently, if the data are CR-SPLIT (also for some other modes) only the cosmic-ray-combined observations are processed. With EXPSCORR set, the inital basic processing does not need to be repeated. This is a significant advantage for external users who would otherwise need to download all relevant reference files as well as their data. The ability of the back-end system to handle the increase in data volume is currently being evaluated. If it is feasible, we will set this flag. MultiDrizzle is available privately from Anton Koekemoer on a shared-risk best-effort basis and more information about it can be obtained from the MultiDrizzle website: http://www.stsci.edu/˜ koekemoe/multidrizzle. 56 Sparks STScI personnel are also actively working on a trimmed down, robust version of the script to provide much of the MultiDrizzle functionality. We anticipate offering a script that does not attempt image registration initially, although as noted above, users may provide such information themselves and insert it into the association table that drives the processing. 5. Support Utilities A variety of support utilities have been requested for assisting with ACS analysis efforts. The following list provides examples of requests that are in hand, and which will be implemented as resources permit: • velocity aberration correction to geometry • coordinate conversion utilities, detector xy to sky, vice versa, raw xy to corrected xy, vice versa. • pixel area map • exposure time image Input on additional tools is welcome. Our current planning may be found in a new ACS Instrument Science Report by Sparks, Hack, Hook and Koekemoer (2002), which includes description of new tools to help with other forms of data such as ramp filter observations. Note, however, that the software will be developed on a priority basis including maintenance of basic existing capabilities, so this should be regarded as a “wish-list.” Finally, ST-ECF has undertaken to provide software support for analysis of ACS grism data, using the “aXe” package. 6. Conclusions Currently, ACS data are processed through the calibration pipeline, calacs, to provide basic image reductions, and then with PyDrizzle to provide geometric distortion correction and image combination. In stand-alone mode, PyDrizzle offers a wide variety of additional functionality, as compared to the default parameter settings adopted in the pipeline environment. A particularly powerful enhancement is the capacity to develop new “associations” and process a group of overlapping images into a single, combined image. Ways are being explored to improve the cosmic ray rejection strategy for dithered data. As resources permit, additional new utilities are being brought online to enhance the scientific utility of ACS observations. Acknowledgments. Warren Hack is the principal author of the ACS calibration and analysis software tools. Richard Hook is the primary developer for drizzle. Their efforts are fundamental and much appreciated. References Fruchter, A. S. & Hook, R. N. 2002, PASP, 114, 144 Hack, W. J. 1999a, “CALACS Operation and Implementation,” Instrument Science Report ACS 99-03 (Baltimore: STScI) Hack, W. J. 1999b, “CALACS reference files,” Instrument Science Report ACS 99-08 (Baltimore: STScI) ACS Calibration Software 57 Hack, W. J. 2002, in ASP Conf. Ser., Vol. 281, Astronomical Data Analysis Software and Systems XI, ed. D. A. Bohlender, D. Durand, & T. H. Handley (San Francisco: ASP), 197 Hack, W. J., Busko, I., & Jedrzejewski, R. 2003, “New STScI Data Analysis Applications,” ADASS XII Proceedings Koekemoer, A. M., et al. 2002a, HST Dither Handbook , Version 2.0 (Baltimore: STScI) Koekemoer, A. M., Fruchter, A. S., Hook, R., & Hack, W., 2002b, MultiDrizzle: An Integrated Pyraf Script for Registering, Cleaning and Combining Dithered Images, this volume, 337 Mack, J., et al. 2002, in HST ACS Data Handbook, version 1.0, ed. B. Mobasher (Baltimore: STScI) Mutchler, M., Jedrzejewski, R., & Cox, C. 1999a, “ACS calibration pipeline testing: basic image reduction,” Instrument Science Report ACS 99-04 (Baltimore: STScI) Mutchler, M., Hack, W., Jedrzejewski, R., & Van Orsow, D. 1999b, “ACS calibration pipeline testing: cosmic ray rejection,” Instrument Science Report ACS 99-09 (Baltimore: STScI) Pavlovsky, C., et al. 2002 ACS Instrument Handook, version 3.0, (Baltimore: STScI) Sparks, W. B., Jedrzejeski, R., Clampin, M., & Bohlin, R. C. 2000, “Software tools for ACS: Geometrical Issues and Overall Software Tool Development,” Instrument Science Report ACS 00-03 (Baltimore: STScI) Sparks, W. B., Hack, W. J., & Hook, R. N. 2001, “Initial Implementation Strategy for Drizzle with ACS,” Instrument Science Report ACS 01-04 (Baltimore:STScI) Sparks, W. B., Hack, W. J., Hook, R. N., & Koekemoer, A. 2002, “ACS Software Tool Development,” Instrument Science Report ACS 02-TBD (Baltimore: STScI) Van Orsow, D., Mutchler, M., Hack, W., & Jedrzejewski, R., 1999, “ACS calibration pipeline testing: error propagation,” Instrument Science Report ACS 99-06 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. The Effect of Velocity Aberration on ACS Image Processing Colin Cox and Ron Gilliland Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The apparent scale change due to velocity aberration, although small, has measurable effects on the wide field images of the ACS. Over a one orbit period the scale can vary by as much as 5 parts in 100,000. Across a long diagonal of the ACS field of view this amounts to about 0.3 pixels. This is sufficient to degrade the registration needed for cosmic ray rejection. Images taken six months apart could have scale differences as large as 12 parts in 100,000 leading to misregistrations up to 1.4 pixels. We plan to add a velocity aberration scale correction factor to image headers which may be used in the cosmic ray rejection algorithm and the dither package. 1. Introduction The Hubble Space Telescope has an orbital speed about the Earth of about 7 km a second, and the Earth’s orbital velocity about the Sun is approximately 30 km a second. The net velocity causes stellar image displacements of some tens of arcseconds. In Figure 1 α represents the angle between the telescope direction of motion relative to the Sun and the direction of a star in barycentric coordinates. α is the angle measured towards the instantaneous apparent direction and is given by tan α = 1 − β 2 sin α cos α + β Differentiating this expression gives 1 − β2 dα = dα 1 + β cos α This gives the change of scale along the radial direction defined by the intersection of the plane containing the velocity and pointing vectors with the field of view. In the tangential direction the scale change is sin α / sin α which comes out to be exactly the same factor. Hence the scale change is isotropic over the field of view. When α is acute and cos α is positive, α is less than α and dα dα is less than 1. The stars apparently bunch together slightly, and more stars are viewed in a given pixel area. So the plate scale increases by the reciprocal of dα dα The magnitude of this effect is of order 1 part in 104 and can vary by 5 parts in 105 within an orbit. Typically this can cause a difference of order one pixel across the diagonal of the ACS Wide Field Camera, with its 4096 by 4096 pixel field of view. The figures show the pixel displacements between observations taken at extremes of the Earth’s orbit and within a single HST orbit. A target is assumed to be placed at the WFC reference point, which lies 200 pixels from the edge of WFC1. 58 The Effect of Velocity Aberration on ACS Image Processing Figure 1. 59 Velocity aberration angular change. PIXEL SHIFTS Maximum variation due to Earth’s orbit Maximum shift due to HST orbit 0 1024 2048 3072 4096 1024 2048 10 2048 0 0. 0. 3072 4096 40 WFC1 10 0.40 0. 0.30 0 2 0. 1024 0.0 WFC1 0.10 04 6 0.0 0. 8 0.0 1024 2048 2 0 2048 1024 WFC2 5 0. 0. 5 WFC2 1024 0.4 0.1 0 4 6 0.3 0.0 0.08 0.0 0.2 0 2048 0. 1 12 2 0. 0 0 0 Figure 2. 1024 2048 3072 4096 0 Pixel shifts caused by scale changes. 1024 2048 3072 4096 60 Cox & Gilliland Model profile Pixel counts -2 -1 0 1 2 3 x Figure 3. 2. Pixel count errors caused by shifts. Discussion The measurements which brought attention to this effect occurred during a flat field monitoring program which made several observations of 47 Tucanae. Two observations 50 minutes apart indicated plate scale differences of 3.7×10−5. This was later found to be perfectly consistent with the expected velocity aberration induced value. The HST pointing and control system is based on guiding relative to nearby stars in the field of view. These are displaced similarly to the target star which makes the system largely auto-correcting. Nevertheless, small corrections are continuously made to keep the primary target on a fixed pixel. Nothing can be done on board to correct for the scale variations and indeed, parallel targets can easily move by several pixels during a long exposure. The significance of this effect is relatively minor, especially when compared with the other distortions present. However, the effect is larger than the residual error after correcting for geometric distortion and it is easily allowed for by applying a scale factor to the images. We intend to revisit our distortion solution and apply this velocity aberration correction to each measurement image and obtain a new solution. An analysis that is expected to be sensitive to small misregistrations is that of cosmic ray rejection. In any region where the signal has a steep slope, such as in the tail of a bright star, a displacement of one image with respect to another, even by a few tenths of a pixel, can be seen as an amplitude difference between matching pixels and interpreted as a cosmic ray hit. To avoid such false positives which cause us to discard good data, we have to set a high threshold, thereby increasing the risk of false negatives, and missing genuine cosmic ray events. We intend to revise the cosmic ray rejection software to allow for misregistrations due to this and other causes. A new keyword will be supplied in science image headers; namely the factor by which the image should be corrected to a barycentric coordinate system. This will be used in the PyDrizzle software which performs cosmic ray rejection as part of its image combination. We might also see a slight improvement in the reconstructed stellar images with the more accurate registration that now becomes possible throughout the image. References Aurière, M. 1982, A&A, 109, 301 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Extreme Red Sensitivity of ACS/WFC Ronald L. Gilliland and Adam G. Riess Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. Establishing the instrumental sensitivity as a function of wavelength within the domain covered by the F850LP (z) filter is critical for a number of ACS science programs. Absolute sensitivity calibrations with hot white dwarfs showed that substantial updates up to 20% in the blue were needed relative to pre-flight estimates, and were suggestive of a significant gradient in the far-red (0.85–1.1 microns) QE update needed (but did not suffice to constrain this well). We report here observations of several hot white dwarfs; as well as a M7 V, a L3.5 V and a T6.5 V star in F625W, F814W and F850LP with ACS/WFC. The concentration of flux for the coolest stars to the longest wavelengths probed with F850LP provide a means of defining the quantum efficiency curve underlying this broad filter. We find, unique to the z-band filter, that over the range O, M, L, T stars that the encircled energy for small-to-moderate apertures can vary at the level of 10s of percent. Attempts to separate out underlying QE variations and wavelength dependent PSF effects are reported on here. For an L dwarf, similar in SED to a high redshift Type Ia SN, these effects can reach half a magnitude for small apertures. 1. Previous Sensitivity Update Figure 1 shows the in-flight corrected throughput values for three filters with ACS/WFC (F625W, F814W and F850LP) as well as the overall throughput (labeled as CLEAR) for all non-filter components—with the underlying CCD Quantum Efficiency being the most limiting factor over this domain. The ratio of observed to predicted count rates for observations of spectrophotometric standards (GD71, GRW+70D5824) using pre-launch throughput values are shown in the lower panel for all the broadband filters. The generally smooth variation with wavelength suggested a wavelength dependent correction was needed for the CCD QE curve and the values shown in the upper panel incorporate such a change. QE values for wavelengths between the pivot wavelengths of the filters were set by spline interpolation; for lack of a better constraint updates to the QE curve used a linear extrapolation beyond 9100 Å (e.g., we assumed the pre-launch value drops by 10% by 10,400 Å). The spectrophotometric standards are hot white dwarfs, and thus have a flux distribution that tends to weight sensitivity determinations to the short wavelength end of filters. The remainder of this paper explores the validity of the existing throughput curve over the F850LP—z-filter bandpass. Of particular interest is the throughput in the far red. 2. Extreme Red Stars as Probe Observations of very red stars with known spectrophotometry provide information on the wavelength distribution of sensitivity within the broad F850LP filter. We chose three stars with M, L and T spectral types for which flux-calibrated spectra are available from the literature. These are detailed in Table 1. For the L-dwarf a STIS spectrum is used. 61 62 Gilliland and Riess Figure 1. Left: Upper panel shows total system throughputs for CLEAR, F625W, F814W and F850LP filters following the updates to original CCD QE curves based on the initial observational results shown in the lower panel. Right: Relative fluxes for the O, M, L and T stars arbitrarily normalized to 0.1 at 9000 Å, and the F850LP sensitivity. The wavelength dependent contribution to counts changes dramatically for these stars as a function of wavelength. Table 1. Star VB 8 2M0036+18 2M1237+65 Red Star Data Type M7 L3.5 T6.5 RA 16:55:34 00:36:16 12:37:39 DEC V −08:23.6 16.81 +18:21.1 21.34 +65:26.2 >28.0 Ic 12.28 16.11 21.51 z 11.73 15.21 19.62 Reference Reid 2002 STIS(6797) Burgasser et al. 2002 Two factors are most important in determining sensitivity to faint stellar sources: 1. Encircled energy arising from possible PSF shape differences with wavelength. 2. Establishing the correct underlying throughput as a function of wavelength. 3. Encircled Energy Changes We have determined encircled energies within 3 × 3, 5 × 5 and 9 × 9 pixel areas centered on the stars. Normalization is relative to an “infinite” aperture (really a radius of 2. 8) sum, and sky subtraction is based on the value within a surrounding annulus of 3.0–5.0 arcsec. For these tables we include entries for ‘ETC’—the encircled energy assumed by our current exposure time calculator, which is independent of input spectral type. The ‘Pivot lambda’ evaluates the photon flux weighted mean wavelength, i.e., the integral of QE × Fλ λ2 divided by the integral of QE × Fλ λ, each over λ. For F625W there is no evidence of encircled energy changes as a function of spectral type. The drop in encircled energy at 3 × 3 pixels for the stellar sources relative to ETC assumptions (based on modeled PSFs) is explained by the use of drizzled (geometrically corrected) images for which the cores of PSFs experience minor smoothing. At the scale of 9×9 pixels the smoothing inherent with drizzling is unimportant and the ETC and observed encircled energies agree well. Extreme Red Sensitivity of ACS/WFC Table 2. F625W Encircled Energy Star ETC O M L Table 3. 63 3×3 0.671 0.591 0.590 0.582 5×5 0.834 0.791 0.792 0.782 9×9 0.880 0.882 0.886 0.877 Pivot λ — 6249 6554 6654 5×5 0.797 0.756 0.727 0.708 0.699 9×9 0.880 0.874 0.860 0.850 0.861 Pivot λ — 7949 8429 8597 8954 F814W Encircled Energy Star ETC O M L T 3×3 0.609 0.548 0.520 0.492 0.483 For F814W a progressive broadening of the PSF at the smallest aperture size is evident and amounts to a loss of 12% in effective sensitivity from a very blue to a very red star. At the larger 9 × 9 aperture size the differences are consistent with measurement error. Table 4. F850LP Encircled Energy Star ETC O M L T 3×3 0.588 0.481 0.430 0.425 0.355 5×5 0.757 0.679 0.632 0.614 0.526 9×9 0.880 0.829 0.800 0.783 0.692 Pivot λ — 9020 9303 9425 9846 For the F850LP filter PSF changes on all scales are significant. In particular for the 3 × 3 aperture relevant for detection of sources near the faint limit, an L-dwarf (similar in spectral energy distribution to a Type Ia SN with z ∼ 2) would have a throughput down by 0.425/0.588 = 0.72 compared to the ETC PSF. Even at the larger 9 × 9 pixel aperture the loss is 0.783/0.88 = 0.89 relative to expectations of the Exposure Time Calculator. At the extreme-red wavelengths covered by the F850LP filter a significant “red halo” effect has set in. Even at a radius of 1.0 arcsec the encircled energy for the T dwarf is down by 5% relative to a blue star, perhaps more if the red halo places flux beyond our 2.8 arcsec normalization aperture. 4. Quantum Efficiency With λ The second major component in setting the far-red sensitivity for the ACS/WFC is to quantify the underlying CCD QE over the 8500 Å to 11000 Å domain. Recall (see Figure 1) that a linear extrapolation based on observed values weighted toward shorter wavelengths had been applied in this domain. With observations of extremely red stars we can now test more directly for the wavelength dependence of QE. 64 Gilliland and Riess We now take sums over large apertures, 2.8 radius in the observations, and use the 101 × 101 pixel sums from the ETC of similar size to provide expected count rates using known spectra. As before sky is defined over a 3.0–5.0 arcsec annulus and subtracted. The following table shows observed to expected count rate ratios in an “infinite” aperture using the current wavelength dependent sensitivities. Table 5. Ratio of Observed to Expected Counts—Infinite Aperture Star O M L T F625W 0.984 1.178 0.972 —– F775W 0.982 1.108 0.926 1.5:: F814W 0.976 1.201 0.964 1.162 F850LP 0.942 1.125 0.859 0.971 F850LP/F814W 0.965 0.937 0.891 0.836 The ground-based M-dwarf flux is evidently ∼20% too low (a similar offset was found for a ground-based L-dwarf spectrum—Reid et al. 2000—compared to STIS). We hypothesize the need for linearly dropping the CCD QE over the 9500–11000 Å domain and solving for the slope that yields near unity for all stars in the ratio F850LP/F814W (we effectively use the F814W observations to normalize the zero point in the spectrophotometry). We find that fixing the current value up to 9500 Å and applying a slope of −3.8 × 10−4 per Å (i.e., sensitivity at 10000 Å is set at 81% of current value) results in F850LP/F814W ratios of 0.995, 1.007, 0.974, 1.024 for the O, M, L, T stars respectively. The “solution” while effective is not unique, as equally good (close to unity ratios throughout) results follow from a range of starting λ and slopes for the linear drop of far-red QE. 5. Summary The far-red sensitivity needs to be adjusted for both a wavelength dependent encircled energy (for which these observations determine well) and for a possible wavelength dependent term in the Quantum Efficiency (which these observations provide a good provisional solution). For a mid-L dwarf which serves as a good analogue for z ∼ 2 Type Ia Supernova we find implied sensitivity losses of 28% due to encircled energy in a 3 × 3 pixel aperture and 10% from an additional QE adjustment over the z-band. Combined, this equates to a 0.47 magnitude loss in sensitivity for such an extremely red target compared to current ETC/Synphot predictions. These results show that for the F850LP filter, count rate estimates need to take into account a PSF that is a strong function of the underlying spectral energy distribution for the observed target. The CCD QE will be updated to reflect the inferred drop beyond 9500 Å. The dependence of encircled energy with underlying spectrum for F850LP will require compensation by the observer for ETC estimates and photometry. Acknowledgments. We thank Ralph Bohlin, Guido DeMarchi, Neill Reid, Marco Sirianni and Zlatan Tsvetanov for input at various stages. References Burgasser, A. J., et al. 2002, AJ, 123, 2744 Reid, I. N., et al. 2000, AJ, 119, 369 Reid, I. N. 2002, private communication 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Calibration of Geometric Distortion in the ACS Detectors G. R. Meurer Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, MD 21218 D. Lindler Sigma Space Corporation, Lanham, MD 20706 J. P. Blakeslee Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, MD 21218 C. Cox Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 A. R. Martel, H. D. Tran Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, MD 21218 R. J. Bouwens UCO/Lick Observatory, University of California, Santa Cruz, CA 95064 H. C. Ford Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, MD 21218 M. Clampin, G. F. Hartig Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 M. Sirianni Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, MD 21218 G. de Marchi Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The off-axis location of the Advanced Camera for Surveys (ACS) is the chief (but not sole) cause of strong geometric distortion in all detectors: the Wide Field Camera (WFC), High Resolution Camera (HRC), and Solar Blind Camera (SBC). Dithered observations of rich star cluster fields are used to calibrate the distortion. We describe the observations obtained, the algorithms used to perform the calibrations and the accuracy achieved. 65 66 Meurer, et al. 1. Introduction Images from the Hubble Space Telescope (HST ) Advanced Camera for Surveys (ACS) suffer from strong geometric distortion: the square pixels of its detectors project to trapezoids of varying area across the field of view. The tilted focal surface with respect to the chief ray is the primary source of distortion of all three ACS detectors. In addition, the HST Optical Telescope Assembly induces distortion as does the ACS M2 and IM2 mirrors (which are designed to remove HST ’s spherical aberration). The SBC’s optics include a photo-cathode and micro-channel plate which also induce distortion. Here we describe our method of calibrating the geometric distortion using dithered observations of star clusters. The distortion solutions we derived are given in the IDC tables delivered in Nov 2002, and are currently implemented in the STScI CALACS pipeline. This paper is a more up to date summary of our results than that presented at the workshop. An expanded description of our procedure is given by Meurer (2002). 2. Method 2.1. Observations The ACS SMOV geometric distortion campaign consisted of two HST observing programs: 9028 which targeted the core of 47 Tucanae (NGC 104) with the WFC and HRC, and 9027 which consisted of SBC observations of NGC 6681. Additional observations from programs 9011, 9018, 9019, 9024 and 9443 were used as additional sources of data, to check the results, and to constrain the absolute pointing of the telescope. The CCD exposures of 47 Tucanae were designed to detect stars on the main sequence turn-off at mB = 17.5 in each frame. This allows for a high density of stars with relatively short exposures. The F475W filter (Sloan g ) was used for the CCD observations so as to minimize the number of saturated red giant branch stars in the field. For the HRC two 60s exposures were taken at each pointing, while for the WFC which has a larger time overhead, only one such exposure was obtained per pointing. Simulated images made prior to launch, as well as archival WFPC2 images from Gilliland et al. (2000) were used to check that crowding would not be an issue. For calibrating the distortion in the SBC we used exposures of NGC 6681 (300s–450s) which was chosen for the relatively high density of UV emitters (hot horizontal branch stars). The pointing center was dithered around each star field. For the WFC and HRC pointings, the dither pattern was designed so that the offsets between all pairs of images adequately, and non-redundantly, samples all spatial scales from about 5 pixels to 3/4 the detector size. For the SBC pointings, a more regular pattern of offsets is used augmented by a series of 5 pixel offsets. 2.2. Distortion Model The heart of the distortion model relates pixel position (x, y) to sky position using a polynomial transformation (Hack & Cox, 2000) given by: xc = m k am,n (x − xr )n (y − yr )m−n , m=0 n=0 yc = m k bm,n (x − xr )n (y − yr )m−n (1) m=0 n=0 Here k is the order of the fit, xr , yr is the reference pixel, taken to be the center of each detector, or WFC chip, and xc , yc are undistorted image coordinates. The coefficients to the fits, am,n and bm,n , are free parameters. For the WFC, an offset is applied to get the two CCD chips on the same coordinate system: X = xc + ∆x(chip#) , Y = yc + ∆y(chip#). (2) Calibration of Geometric Distortion in the ACS Detectors Figure 1. 67 Non linear component to ACS distortion for WFC and SBC detectors. ∆x(chip#), ∆y(chip#) are 0,0 for WFC’s chip 1 (as indicated by the FITS CCDCHIP keyword) and correspond to the separation between chips 1 and 2 for chip 2. The chip 2 offsets are free parameters in our fit. X , Y correspond to tangential plane positions in arcseconds which we tie to the HST V 2, V 3 coordinate system. Next the positions are corrected for velocity aberration: X = γX , Y = γY , where γ= 1 + u · v/c . 1 − (v/c)2 (3) Here u is the unit vector towards the target and v is the velocity vector of the telescope (heliocentric plus orbital). Neglect of the velocity aberration correction can result in misalignments on order of a pixel for WFC images taken six months apart for targets near the ecliptic. Finally, we must transform all frames to the same coordinate grid on the sky Xsky , Ysky : Xsky = cos ∆θi X − sin ∆θi Y + ∆Xi , Ysky = sin ∆θi X + cos ∆θi Y + ∆Yi (4) where the free parameters ∆Xi , ∆Yi, ∆θi are the position and rotation offsets of frame i. 2.3. Calibration Algorithm We use the positions of stars observed multiple times in the dithered star fields to iteratively solve for the free parameters in the distortion solution: fit coefficients am,n , bm,n ; chip 2 offsets ∆x(chip 2), ∆y(chip 2) (WFC only); frame offsets ∆Xi, ∆Yi , ∆θi; and tangential plane position Xsky , Ysky of each star used in the fit. The stars are selected by finding local maxima above a selected threshold. The centroid in a 7 × 7 box about the local maximum is compared to Gaussian fits to the x, y profiles. If the two estimates of position differ by more than 0.25 pixels, the measurement is rejected as likely being effected by a cosmic ray hit or crowding. Further details of the fit algorithm can be found in Meurer et al. (2002). 2.4. Low Order Terms Originally only SMOV images taken with a single roll angle were used to define the distortion solutions. The solution using only these data is degenerate in the zeroth (absolute pointing) 68 Meurer, et al. Table 1. Summary of fit results Camera chip WFC WFC WFC WFC HRC HRC HRC SBC 1 2 1 2 pixel size [arcsec] 0.05 0.05 0.05 0.05 0.025 0.025 0.025 0.03 Filter F475W F475W F775W F775W F475W F775W F220W F125LP Pointings 25 25 10 10 20 13 12 34 N 142289 103453 31652 33834 77433 31515 14715 1561 rms(x)1 rms(y)1 Notes [pixels] [pixels] 0.042 0.045 0.035 0.037 0.050 0.056 2 0.041 0.048 2 0.027 0.026 0.026 0.043 3 0.112 0.108 3 0.109 0.094 1 This is the rms after iteratively clipping measurements with deviations greater than 5 times the rms. Coefficients held fixed to those found for WFC F475W. 3 Coefficients held fixed to those found for HRC F475W. 2 and linear terms (scale, skewness). So we used the largest commanded offsets with a given guide star pair to set the linear terms. However, comparison of corrected coordinates to astrometric positions showed that residual skewness in the solution remained. Hence, as of November 2002, the IDC tables for WFC and SBC are based on data from multiple roll angles. The overall plate scale is set by the largest commanded offset. For the HRC, the linear scale is set by matching HRC and WFC coordinates, since the same field was used in the SMOV observations. The zeroth order terms (position of the ACS apertures in the HST V 2, V 3 frame) was determined from observations of an astrometric field. 3. Results The distortion in all ACS detectors is highly non-linear as illustrated in Figure 1. We find that a quartic fit (k = 4) is adequate for characterizing the distortion to an accuracy much better than our requirement of 0.2 pixels over the entire field of view. Table 1 summarizes the rms of the fits to the various datasets. The WFC and HRC fits were all to F475W data as noted above. To check the wavelength dependence of the distortion we used data obtained with F775W (WFC and HRC) and F220W (HRC) from programs 9018 and 9019. We held the coefficients fixed and only fit the offsets in order to check whether a single distortion solution is sufficient for each detector. Table 2 shows that there is a marginal increase in the rms for the red data of the WFC, little or no increase in the fit rms for the red HRC data, but a significant increase in the rms using the UV data. An examination of the HRC F220W images reveals the most likely cause: the stellar PSF is elongated by 0.1”. A similar elongation can also be seen in SBC PSFs. We attribute this to aberration in the optics of either the ACS M1 or M2 mirrors or the HST OTA (Hartig et al. 2002). The aberration amounts to 0.1 waves at 1600 Å, but is negligible relative to optical wavelengths, hence it is not apparent in optical HRC images. While it was expected that the same distortion solution would be applicable to all filters except the polarizers, recent work (by Tom Brown, STScI, and our team) has shown that at least one other optical filter (F814W) induces a significant plate scale change (factor of ∼ 4 × 10−5 ). In the long term, the IDC tables will be selected by filter in the STScI CALACS pipeline. Calibration of Geometric Distortion in the ACS Detectors 69 Figure 2. Binned residuals to quartic distortion fits for the WFC and HRC detectors. The large residuals in the HRC map at Xsky ≈ 5 , Ysky ≈ 10 correspond to the Fastie Finger. While a quartic solution is adequate for most purposes, binned residual maps (Figure 2) show that there are significant coherent residuals in the WFC and HRC solutions. These have amplitudes up to ∼ 0.1 pixels. The small-scale geometric distortion is the subject of the Anderson & King contribution to this proceedings. References Hack, W. & Cox, C. 2000, Instrument Science Report ACS 2000-11 (Baltimore: STScI) Hartig, G., et al. 2002, in Future EUV and UV Visible Space Astrophysics Missions and Instrumentation, eds. J. C. Blades & O. H. Siegmund, Proc. SPIE, Vol. 4854, in press [4854-30] Gilliland, R. L., et al. 2000, ApJ, 545, L47 Meurer, G. R., et al. 2002, in Future EUV and UV Visible Space Astrophysics Missions and Instrumentation, eds. J. C. Blades & O. H. Siegmund, Proc. SPIE, Vol. 4854, in press [4854-30] 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Drizzling Dithered ACS Images—A Demonstration Max Mutchler, Anton Koekemoer, and Warren Hack Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, Maryland 21218; mutchler@stsci.edu, koekemoe@stsci.edu, hack@stsci.edu Abstract. Since the 1997 version of this poster, dithering and drizzling have evolved from an advanced form of Hubble Space Telescope (HST ) observing and data reduction (with WFPC2), to the norm (with ACS). We demonstrate the reduction of a typical dithered ACS dataset using the latest drizzling methods. 1. Introduction The drizzle task (Fruchter & Hook, 2002) is available in the IRAF/STSDAS dither package. PyDrizzle (Hack & Jedrzejewski, 2002) is a PyRAF wrapper for drizzle, which allowed drizzle to be incorporated into the ACS calibration pipeline. PyDrizzle combines associated HST data and corrects for geometric distortion, to produce an image which is photometrically and astrometrically correct across the image’s entire field-of-view. Multidrizzle (Koekemoer, 2002) encapsulates the processes of building association tables, rejecting cosmic rays (even for singly-dithered observations), producing object catalogs, refining shift measurements, and producing a drizzled combination of the input images. We use a set of F814W (I-band) images of the “Tadpole” galaxy UGC 10214 (HST /ERO program 8992, PI Holland Ford) to illustrate the use of these tools. This example can be reproduced with the software and data available via the websites listed at the end of this document. 2. Pointing Patterns and Data Associations The shifts for small-scale dither or large-scale mosaic pointing patterns can be specified in a Phase II HST observing proposal using either POS TARG special requirements, or pattern parameter forms (Mutchler & Cox, 2001). When pattern forms are used, the entire pointing pattern is automatically associated (except for the largest WFC mosaic patterns), and the standard calibration pipeline is then able to process the dataset more completely. However, this demonstration illustrates how any set of data, which may be either partially or completely unassociated, can be associated post-facto, and reprocessed. Our sample dataset employs a POS TARG dither to shift across the gap between the two WFC chips. The ACS-WFC-DITHER-LINE pattern parameter form would produce the same results. 3. Pipeline Processing: CALACS and PyDrizzle Association tables are used to process datasets which are related, such as cosmic-ray split (CR-SPLIT) exposures, dithered exposures, or data from different observing programs/epochs. Our sample dataset includes CR-SPLIT associations, but we need to produce one table which associates the entire pointing pattern. Download the following association tables (*asn.fits), and the combined/cleaned (*crj.fits) images that PyDrizzle will use as input: 70 Drizzling Dithered ACS Images 71 ftp://archive.stsci.edu/pub/ero/tadpole/j8cw54030_asn.fits ftp://archive.stsci.edu/pub/ero/tadpole/j8cw54031_crj.fits ftp://archive.stsci.edu/pub/ero/tadpole/j8cw54040_asn.fits ftp://archive.stsci.edu/pub/ero/tadpole/j8cw54041_crj.fits Merge the two tables, and edit to create a unique (numbered) MEMTYPE for the CR-SPLIT pairs, and add a PROD-DTH row for the combined output, as follows: cl> tmerge *asn.fits pipeline_asn.fits append cl> tedit pipeline_asn.fits # row # 1 2 3 4 5 6 7 MEMNAME MEMTYPE MEMPRSNT J8CW54P9Q J8CW54PDQ J8CW54031 J8CW54PPQ J8CW54PTQ J8CW54041 pipeline EXP-CR1 EXP-CR1 PROD-CR1 EXP-CR2 EXP-CR2 PROD-CR2 PROD-DTH yes yes yes yes yes yes no Alternately, association tables can be built using buildasn (Hack & Jedrzejewski, 2002). This association table can be used to re-run both CALACS and PyDrizzle. We will only run PyDrizzle here, but re-running CALACS may be necessary to recalibrate your data, and/or to produce the flat-fielded (*flt.fits) images needed to run Multidrizzle. Start PyRAF and define your reference file directory, where the distortion correction table (IDCTAB) resides. Load the STSDAS dither package, run PyDrizzle using your new association table, and display the output image: > pyraf --> set jref = ’/data/cdbs7/jref/’ --> stsdas --> dither --> pydrizzle pipeline_asn.fits bits=8578 --> display pipeline_drz.fits[sci,1] z1=0 z2=5 4. Multidrizzle Processing To download the latest full-featured version of Multidrizzle, contact Anton Koekemoer (koekemoe@stsci.edu). A version will eventually be available via the IRAF/STSDAS dither package, but as of December 2002, a scaled-down test version (with no tweakshifts or singleCR) can be downloaded via the PyDrizzle webpage listed below. See detailed instructions for running Multidrizzle on Anton’s webpage (also listed below). As input, here we will use existing flat-fielded images (*flt.fits) which were created by exposure lines with no CR-SPLIT special requirement, i.e., there is only one exposure at each dither pointing. Download the following images to your working directory. There are additional F814W exposures, but we will use only two here: ftp://archive.stsci.edu/pub/ero/tadpole/j8cw54p8q_flt.fits ftp://archive.stsci.edu/pub/ero/tadpole/j8cw54plq_flt.fits Move to your working directory, make an input image list, and set up Multidrizzle. Specify tweakshift1=yes to refine the shifts: 72 Mutchler, Koekemoer, and Hack > cd /data/mymachine1/demo/ > ls *flt.fits > input.list > source /data/wallaby1/multidrizzle/setup > pyraf --> pyexecute(’/data/wallaby1/multidrizzle/multidrizzle_iraf.py’, tasknames=’multidrizzle’) --> unlearn multidrizzle --> multidrizzle output=’f814w’ filelist=’input.list’ tweakshift1=yes Although we haven’t specified singleCR=yes above, the tweakshift1 step automatically runs the SExtractor version of it. This is a relatively crude rejection method, which is used mainly to produce cleaner object catalogs for shift measurement, and the resulting masks are not (by default) used in the final drizzle. Specifying singleCR include=yes would include these masks in the final drizzle. Since we are using only two input images here, this would be a way to reject cosmic rays in the gap overlap regions. While this may produce a better result cosmetically, a more reliable result would be acheived by including additional input frames. Multidrizzle (using buildasn) creates the following association table, with the deltashifts and delta-rotations determined by tweakshift1 stored in additional columns: # Table f814w_twk1_asn.fits[1] Tue 20:02:49 05-Nov-2002 # row MEMNAME # 1 j8cw54p8q 2 j8cw54plq 3 f814w_twk1 MEMTYPE MEMPRSNT XOFFSET arcsec EXP-DTH EXP-DTH PROD-DTH yes yes no 0. -0.064946 0. YOFFSET arcsec ROTATION degrees 0. 0.013180 0. 0. 0.0094 0. Display the drizzled output: the individual frames, and the final drizzled science (sci) and weight (wht) images: --> --> --> --> display display display display j8cw54p8q_flt_single_sci.fits[0] 1 z1=0 z2=5 j8cw54plq_flt_single_sci.fits[0] 2 z1=0 z2=5 f814w_sci.fits[0] 3 z1=0 z2=5 f814w_wht.fits[0] 4 zr+ zs+ 5. Further Resources Available via the Web The following web resources provide background on dithering and drizzling, and the sample data which can be used to reproduce this demonstration, if desired: ACS drizzling: Andy Fruchter: PyDrizzle: Multidrizzle: PyRAF: SExtractor: Dither Handbook: ACS ERO data: ACS ERO release: www.stsci.edu/hst/acs/analysis/drizzle/ www.stsci.edu/~fruchter/dither/dither.html stsdas.stsci.edu/pydrizzle/ www.stsci.edu/~koekemoe/multidrizzle/ pyraf.stsci.edu/ terapix.iap.fr/soft/sextractor/ www.stsci.edu/instruments/wfpc2/Wfpc2_driz/dither_handbook.html archive.stsci.edu/hst/acsero.html oposite.stsci.edu/pubinfo/pr/2002/11/pr-photos.html Drizzling Dithered ACS Images 73 Figure 1. The final Multidrizzle output image of the Tadpole galaxy UGC 10214, using only two of the available F814W exposures as input. A “draft version” of this document was available as a handout during the workshop. An expanded “demo version” is available via the ACS drizzling webpage (listed above). It includes some supplemental Appendices which were excluded here due to page limitations. This includes information on pointing patterns, using CALACS to generate the flat-fielded images (*flt.fits) needed as input for Multidrizzle, and detailed drizzling parameters. References Fruchter, A. & Hook, R., 2002, Drizzle: a Method for the Linear Reconstruction of Undersampled Images, PASP, 114, 144 Hack, W. & Jedrzejewski, R., 2002, PyDrizzle User’s Manual (Baltimore: STScI) Koekemoer, A. 2002, The Dither Handbook (Baltimore: STScI) Koekemoer, A., 2002, this volume Mutchler, M. & Cox, C., 2001, “ACS Dither and Mosaic Pointing Patterns,” Instrument Science Report ACS 2001-07 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Flat-fielding of ACS WFC Grism Data N. Pirzkal, A. Pasquali and J. Walsh ST-ECF, Karl-Schwarschild Strasse-2, Garching bei München, D-85748, Germany Abstract. In direct imaging, broad band flat-fields can easily be applied to correct deviation from uniform sensitivity across the detector field. However for slitless spectroscopy data the flat field is both field and wavelength dependent. The effect of the wavelength dependent flat field for the slitless G800L grism mode of the ACS Wide Field Channel (WFC) has been investigated from observations of a flux calibrator at different positions in the field. The results of various flat-fielding schemes are presented including application of a flat field cube derived from in-orbit broad band filter flat-fields. Excellent results are reported with deviations in the extracted spectra 2% across the WFC field. 1. Available WFC Flat-fields New ACS in-orbit filter flat-fields, were recently constructed using globular cluster observations (Mack et al. 2002). These flat-fields show that there is a significant amount of large scale structure which varies from one broad band filter to another (i.e., with wavelength). Flat-fielding ACS G800L grism data is therefore required in order to be able to derive a unique G800L sensitivity curve which is the same at all positions on the detector. We have used these flat-fields and have fitted them using a 3rd order polynomial as a function of wavelength and at each pixel. The result of this fit was the creation of a data cube enabling aXe, the ST-ECF Slitless Extraction Software (Pirzkal et al. 2001), to compute the proper flat-fielding coefficient at any pixel position and wavelength. Unfortunately, the in-orbit LP flats do not offer an ideal sampling of the wavelength dependence of the flat-field because: 1) they are broad; 2) only a limited number of filters are available; and, 3) there is no filter which reaches wavelengths beyond 8500 Å (while the G800L grism mode remains sensitive to about 10,000 Å). 2. Observations Two white dwarfs have been observed using the WFC G800L grism mode: GD153 during the ACS SMOV campaign and G191B2B during the Cycle 11 Interim Calibration. GD153 was observed at five different positions which were read out using ACS subarrays. Unfortunately, the target position did not always end up at the center of the subarray and this resulted in only two useful positions where the first order spectra were completely within the subarray. The spectra at the other positions were truncated and did not contain all the flux from GD153 at each wavelength. G191B2B, was observed using the same technique but at 9 different positions, 5 in the top part of the detector (CHIP1) and 4 in the bottom part (CHIP2). The G191B2B spectra were all completely within each aperture and each position was observed twice for a total of 18 spectra across the detector. Figure 1 shows the positions and names associated with each of the G191B2B observations. 74 Flat-fielding of ACS WFC Grism Data Figure 1. Mosaic of the nine G800L subarray observations of the white dwarf G191B2B. The content of this image was bias and dark subtracted and gain corrected. The first order spectrum is immediately above the labels in this figure. The second and third orders are to the right of the first order, while the zeroth and negative orders are to the left of the labels. Figure 2. The fractional error in the extracted, calibrated, but not flat-fielded spectra of G191B2B is shown. In the region where the grism is most sensitive (6000 Å to 9200 Å) the inconsistencies in flux levels can be seen to progressively increase from about ±1.5% to as much as ±3% with, more importantly, some large (5%) systematic differences between different parts of the detectors. Note that observations taken at the same positions are plotted using the same line type and are at a closely similar flux error, demonstrating the high level of repeatability one can expect from the G800L grism mode. The increasing errors below 5500 Å and beyond 10000 Å correspond to wavelength ranges where the sensitivity of the grism approaches zero. The peak around 6500 Å corresponds to the Hα absorption feature of G191B2B. The larger errors at the position of W7 at wavelengths below 6500 Å is caused by a less well known wavelength calibration in that part of the detector. 75 76 Pirzkal, et al. Figure 3. The fractional error in the extracted, calibrated, flat-fielded spectra of G191B2B (using a flat-field data cube derived directly from the latest in-orbit flats), to be compared with Figure 1. The effect of simply applying broad band filter flat-fields clearly introduces some rather large-scale differences across the detectors. These differences are introduced by the direct imaging flats which correct for the field variation of the pixel effective size, which is related to the geometric distortion of the WFC and which affects spectroscopic data differently from direct imaging data. 3. 3.1. aXe Extraction No Flat-fielding A first extraction was performed using aXe and no flat-fielding. The extracted spectra of G191B2B were otherwise fully calibrated in physical flux units using the latest estimate of the G800L sensitivity curve. Figure 2 shows the fractional flux difference between the aXe extracted and calibrated spectra and a template spectrum of G191B2B. The spectra observed at the same positions agree with the template spectrum very closely even though they were obtained at different times. There is however an increasingly large observed discrepancy in the measured fluxes at wavelengths beyond 7500 Å. This effect is both field and wavelength dependent. 3.2. Direct LP-flat Data Cube A second extraction of the G191B2B spectra was performed using the data cube fit of the new in-orbit flats mentioned above. The result of which is shown in Figure 3. A significant difference is apparent between different positions on the detector. There are several reasons why this should be expected. First, it is likely that the large scale flat (L-flat) characteristic of the G800L grism is different than that of the broad band filter flats used to generate the flat-field data cube. A large scale L-flat correction to these broad band filters is hence understandable. Second, the broad band flat-fields are designed so that a direct image of the sky will look flat, even though the effective pixel size of the WFC varies significantly from one corner of the detector to another. Applying such a flat-field introduces a correction which is related to the geometric distortion and which should be corrected for differently in spectroscopic data. The effect of distortion and tilt between the grism assembly and the detector is accounted for by a field dependence of the dispersion properties of the G800L grism (Pasquali et al. 2003). Flat-fielding of ACS WFC Grism Data 77 Figure 4. The fractional error in the extracted, calibrated, flat-fielded spectra of G191B2B (using our G800L-corrected in-orbit LP flats-field cube). At wavelengths smaller than 8500 Å where a wavelength dependent flat-fielding was applied, the error in measured flux is within 1% and flat-fielding has removed the systematic differences between different positions on the detector as well as the wavelength dependence visible in Figure 2. Using this flat-fielding scheme, a unique G800L sensitivity curve can be computed and applied to all the extracted spectra. 3.3. Corrected LP-flat Data Cube The variation in observed fluxes between different positions on the detector was successfully fitted to a quadratic surface. This relation, essentially an G800L empirical L-flat correction, was used to generate a new, G800L-corrected flat-field data cube. Extracted G191B2B spectra using this new cube are shown in Figure 4. Note that this flat-field cube only allows for a wavelength variation of the flat field at wavelengths ranging from 4350 Å to 8500 Å. Beyond this range, no gain in accuracy is expected as a constant flat-field coefficient was used. This new corrected flat-field cube produces spectra which reach flux calibration accuracies close to the 1% level across a wide range of wavelengths, and across most of the detector. The same G800L-corrected flat-field cube was used to extract the two un-truncated SMOV observations of GD153, described earlier, and similar accuracy was achieved between the extracted and flux calibrated spectra and the template spectrum of GD153. 4. Conclusion We have successfully constructed a G800L flat-field data cube which allows one to reach flux calibration accuracies of about 1% at wavelengths ranging from 6000 Å to 9000 Å and across most of the WFC field of view. This modified G800L-corrected flat-field cube can be used directly by the extraction software aXe to extract un-drizzled, non-geometrically corrected grism observations. It will be made available from the ST-ECF ACS spectroscopy group at http://www.stecf.org/instrument/acs/. References Pasquali, A., Pirzkal, A., & Walsh, A. 2003, this volume, 38 Pirzkal, N., Pasquali, A., & Demleitner, M. 2001, ST-ECF Newsletter 29, p. 5 Mack, J., Bohlin, R., Gilliland, R., et al. 2002, Instrument Science Report ACS 2002-008 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Statistical Analysis of ACS Data without Covariance in Errors Kavan U. Ratnatunga Carnegie Mellon University, Pittsburgh, PA 15213 Abstract. Careful statistical analysis is required to extract Cosmic Shear from ACS data. Rebinning the data to remove ACS image distortion creates images with adjacent pixels which have observational errors that are correlated. Proper statistical analysis of the image is complicated. It is however possible in principal to avoid any rebinning of the ACS data in the analysis of small galaxy images. 1. Introduction In comparison to WFPC2 the distortion across the ACS image is 5 times larger. The pixel scale varies significantly so that full ACS images which are shifted by more than about an arcsecond cannot be stacked without correction for plate distortion. The relative image shift at CCD center translates to a different number of pixels close to the edge of the CCD. Most ACS dither patterns use a larger shift to close the gap between the CCD arrays. The on-the-fly calibration (OTFC), designed to process full ACS images, rebins the data before stacking to identify cosmic rays. An iterative process is needed since rebinning before cosmic ray rejection bleeds the cosmic rays. The observational errors between adjacent pixels in resulting images have covariance complicating maximum likelihood or χ2 image fitting which assumes independent errors in image pixels. However, the typical faint galaxy images being surveyed with ACS in random pure parallel fields have half-light radius typically under a half arcsecond and the region used for image analysis is only about 6 square. Across this small region, the differential change in pixel scale from a region even 5 away in both directions, is small. In this case, at the edge of the 6 square region, the differential shift is about 0.2 pixels, with differential rotation of the two regions under 0.01 degrees (see Figure 2). For most of the higher signal-to-noise image pixels with greater weight in the analysis within the inner half arcsecond diameter region close to the center peaked galaxy image, it is more than a factor of 10 smaller. The changes in pixel scale and orientation within the region around the small galaxy image can therefore be ignored. So to better than the accuracy used in the MDS WFPC2 analysis (cf. Figure 1), small individual galaxy images or stars from shifted ACS fields can be stacked and cosmic ray rejected without rebinning to correct for image distortion, even though the whole CCD image cannot be similarly stacked. Only the appropriate position dependent shifts corresponding to the shifts between images at the target reference pixel need to be computed using the adopted ACS distortion map. The small differential change in pixel scale is negligible for cosmic-ray rejection, which can now be redone without any image rebinning. 2. MDS-ACS Pipeline The MDS-WFPC2 pipeline (Ratnatunga et al. 1999) software being modified for ACS will follow the following procedure. 1. Correct bias 78 ACS Image Covariance 79 Figure 1. Total offset in X and Y and rotation at the corner of the 6 region used for image analysis relative to the center of each WFPC2 CCD array for a 5 shift in pointing in both X and Y . Most shifts used for MDS WFPC2 were a lot smaller than the extreme 7 used in this illustration. 2. Subtract dark current 3. Flag hot pixels 4. Flat field multiply by inverse sky flat and pixel area function, i.e., flux as expected for pixel-sky background less in smaller pixels. 5. Derive a rms error image along with calibrated image incorporating all sources of observational error. Details of the calibrations adopted by MDS are discussed in Ratnatunga et al. (1995). 2.1. Shifts between Images Initially, we adopt the IDT 4th order polynomial representation of ACS distortion mapping. This mapping is expected to line up images to about 0.1 pixels, and will be tested. Shifts between images are determined by cross-correlation of the central region of the images. With ACS, if a larger region is needed to get a well defined peak, a rebinned ACS image would need to be used. The image closest to the mean pointing is selected as the primary image to define the coordinate frame for the pure parallel fields in the sky. 2.2. Cosmic Ray Rejection A minimum of 3 ACS exposures will be used in the stack. If images are all in a single line-of-sight, we stack calibrated not-rebinned ACS images. If not, we shift rebin the ACS images to a meta grid array of the primary image before stacking. This stacking is used to identify pixels hit by a cosmic ray in all individual images. The regions identified in each image as hit by a cosmic ray are used to flag pixels in the calibrated not-rebinned 80 Ratnatunga image. These ACS images are then shifted again and rebinned to a meta grid array without bleeding the pixels hit by cosmic rays and then stacked. 2.3. Object Identification The cosmic ray clean stacked image is searched to identify all faint galaxy and stellar sources. The identified sources on this rebinned stack are used to identify a one-sigma contour around each object in the calibrated not-rebinned primary image. Using the relative shifts between the images and the ACS distortion map the centroid of the object can be located on each of the calibrated not-rebinned images. We then compute the following using the adopted ACS distortion map at the location of the centroid of individual galaxy images. • Pixel scale in X and Y directions • Metapixel coordinates in arc-seconds from ACS reference pixel • Orientation of X and Y with respect to PA V3 Using equatorial coordinates of the ACS reference pixel and PA V3 of pointing the estimated orientation of the galaxy in observed pixel coordinates can be converted directly to the standard frame of reference in the sky. 2.4. Image Analysis A fixed size pixel array is cut out of each calibrated not-rebinned image for analysis, using the adopted ACS distortion map and the relative shifts between the images. Pre-computing the sub-pixel shifts between these individual images, the image analysis can now be done without stacking all of the exposures to a single image. Assuming that the distortion is known better than the individual centers could be independently evaluated, it is better to use all of the images in the field to define the relative image shifts in position and orientation of the pointing, than let it be defined by only the images of galaxy being analyzed. As the relative shifts between the frames are predefined, it is not necessary to have extra parameters to define the centroid independently in each image of the galaxy. The likelihood function is integrated over all of the observed ACS images with their individual error images in observed not-rebinned data space. The MDS analysis software creates a sub-pixelated centered galaxy model image, then after convolution shifts the image to the required pixel centroid. One could even convolve the galaxy model image independently based on the mean HST focus and pointing jitter during each exposure. The larger effect of jitter on parallel observations caused by differential aberration is discussed by Ratnatunga et al. (1997). All of the images required for integration of χ2 over the pixels can be generated by shifting and block-binning the subpixelated image. The detector distortion caused by the non-orthogonal axes of ACS is included in this rebinning of the model image. The same subpixelated convolved galaxy model image can be used if we ignore changes in focus and pointing jitter between exposures, and as long as there is no significant differential rotation. By this approach we can overcome all of the limitations and possible errors of using the nearest integer shift in addition to the differences in telescope jitter and breathing of focus (consequently PSF) between exposures. This approach was discussed by Ratnatunga et al. (1994) in the Image Restoration of HST Images workshop ten years ago. It was not used by MDS for WF/PC and WFPC2 data to avoid the increase in computation time. The current generation of computers, which are 100 times faster than when the original MDS software was developed, may now make this approach practical. However, the rms cumulative error caused by both the uncertainty in image ACS distortion maps, changes in telescope focus due to breathing and/or jitter in pointing, and ACS Image Covariance 81 Figure 2. Differential offset in X and Y and rotation at the corner the of 6 region used for image analysis relative to the center of each galaxy image for a 5 shift in pointing in both X and Y . The vertical scale is the same as in Figure 1. Position dependent shifts for each image will be used for ACS stacking and analysis. differential pixel shifts over the image needs to be estimated. If that is larger than 0.3 pixels (15 mas), then to the known accuracy stacking cosmic ray rejected images using nearest integer shifts as done for MDS-WFPC2 may be the safest approach, including the additional 15 mas convolution in the image analysis. 3. Conclusion Calibrated but not rebinned ACS images can be used directly for analysis of small galaxy or stellar images, which then avoids using images with covariance. The same approach may also be useful for grism images. Acknowledgments. I am grateful to Stefano Casertano who has always been a great help in discussing statistical issues of proper image analysis. This paper is based on observations with the NASA/ESA Hubble Space Telescope, obtained at the Space Telescope Science Institute. The HST research is funded by STScI grant GO9488. References Ratnatunga, K. U., Griffiths, R. E., & Casertano, S. 1994, in Proc. The Restoration of HST Images and Spectra II , eds. R. J. Hanish and R. L. White, p. 333 Ratnatunga, K. U., Griffiths, R. E., Neuschaefer, L. W., & Ostrander, E. J. 1995, in Proc. HST Calibration Workshop II , eds. A. Koratkar, A. & C. Leitherer, p. 351 Ratnatunga, K. U., Ostrander, E. J., & Griffiths, R. E. 1997, in Proc. The 1997 HST Calibration Workshop, eds. S. Casertano, et al., p. 361 Ratnatunga, K. U., Griffiths, R. E., & Ostrander, E. J. 1999, AJ, 118, 86 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Bias Subtraction and Correction of ACS/WFC Frames M. Sirianni, A. R. Martel, M. J. Jee Department of Physics & Astronomy, The Johns Hopkins University, Baltimore, MD 21218 D. Van Orsow and W. B. Sparks Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. Calibrated ACS/WFC science frames processed through the CALACS pipeline exhibit a residual offset in their absolute levels at the edge separating the Amp A-B and Amp C-D quadrants. This effect can be attributed primarily to uncertainties in the bias level subtraction. We present an analysis of the overscan levels and of the amplitude and behavior of the residual offsets for a large sample of bias frames. The scientific impact of this residual is discussed. 1. Introduction One of the most fundamental steps in exploiting the new capabilities of the Advanced Camera for Surveys (ACS) consists of accurately subtracting bias frames and offsets level from scientific images. In the routine pipeline processing (CALACS; Hack 1999), the bias level measured in selected columns of the leading physical overscan is subtracted from the active area, which always shows a slightly higher bias level. In principle, if the residual offset between the imaging area and the overscan region were always of the same amplitude, a full-frame superbias subtraction would remove any residual difference. Unfortunately, the offset is not constant but shows random variations, resulting in a small but noticeable jump in the middle of each chip along the amplifier edges (see Figure 1). We present an analysis of the structure of the WFC bias frames, statistics of a sample of bias frames acquired since ACS installation and the amplitude of their residual offset. We look into the scientific implications of such a residual and present a possible approach that could mitigate the problem. 2. Description and Behavior of the Problem Normal WFC images are read-out using the four amplifiers, two for each detector (A-B for WFC1 and C-D for WFC2). Hence, one amplifier is used to read a single 2k × 2k quadrant and so each quadrant needs to be treated independently in the calibration process. Each amplifier has a specific bias level and bias structure. It is therefore normal that the raw bias frame (and any other raw WFC frame) shows a “natural” jump in the center of the image. Figure 2 shows an averaged horizontal profile of the WFC1 bias frame used to calibrate the image in Figure 1 (see also Sirianni, Martel, & Hartig 2001). The plot shows that the bias level measured in the physical overscan is lower than the bias level in the active area. The difference between these two bias levels varies between each quadrant. Since the bias level is measured in the leading physical overscan and subtracted from the active area of each quadrant, the center of the resulting image shows a “residual offset” or jump between the two adjacent quadrants, A-B or C-D (central panel in Figure 2). In 82 Bias Subtraction and Correction of ACS/WFC Frames Figure 1. 83 A calibrated WFC1 field (F775W) showing the offset. calibrated ACS/GTO data, the amplitude of this residual offset is typically of the order of 1% of the adjacent background level (typically < 4 DN), with extreme cases of ∼ 3%. In principle, if the difference between the active area and the overscan regions were of the same amplitude in all frames, the full-frame superbias subtraction performed at a later CALACS stage would remove the residual difference between the two quadrants. To establish the temporal dependence of the bias levels and the residual offsets, we analyzed the stability of all the bias frames acquired as part of SMOV and monitoring campaigns over the period Apr–Jun 2002. The results are shown in Figure 3. The top panels show the variation of the bias overscan level with time. For all four amplifiers, the levels are fairly stable with small variations. Each month the TECs are turned off to allow the CCDs to warm up to ∼ 19 C and anneal hot pixels created by radiation damage. When this occurs the bias level is higher than normal, but within a few hours it will assume the normal value it had just before the anneal. Ignoring this monthly feature, the overscan level for all four WFC quadrants turns out to slowly decrease with time by about 0.02–0.03 DN per day. Finally, in addition to the monthly feature, Amp B shows an intrinsic scatter of about 15 DN (peak to peak). Such behavior was already known from ground testing and does not represent a concern because the bias level in the active area changes accordingly with the same amplitude. The two panels at the bottom of Figure 3 show the residual offset variation with time for the four amplifiers. Each amplifier shows a positive residual offset, meaning that the active area has a slightly higher bias level than the region used to estimate the bias offset in the physical overscan. For all quadrants, the residual offset does not correlate with time and varies by a few tenths of a count (Table 1). Moreover, its apparently random amplitude does not appear to correlate with the bias level in the active area nor with the detector temperature. On the other hand, there seems to be a correlation between the residual offset variations in each amplifier. When the difference between the active area and the leading physical overscan increases or decreases in one quadrant, it shows the same behavior in the other amplifiers. The cause of the residual offsets and their variation with time are still under investigation. The accuracy of the bias level subtraction in a single frame is limited by this random effect. Table 1. Residual Offset Instability WFC1 AMP MEAN σ A 1.16 0.27 B 2.13 0.23 AMP C D WFC2 MEAN 3.13 0.63 σ 0.16 0.26 84 Sirianni, et al. Figure 2. Horizontal profile of the bias frame used in the image of Figure 1. Figure 3. Variation with time of the bias overscan levels and the residual offsets. Bias Subtraction and Correction of ACS/WFC Frames 3. 85 Scientific Impact We investigated the scientific impact of the uncertainty in the bias level subtraction. For point sources, the local background is typically subtracted in an annular region so the residual offset has essentially no impact on the integrated magnitudes. Extended objects such as galaxies may be spread over two or more quadrants, so their surface brightness profiles will suffer from the residual offset. But even at low counts near the sky levels, a 3% jump translates to a change in magnitude of only 0.03. With the addition of the object counts superimposed on the sky, this value is correspondingly smaller. We conclude that the scientific impact of the variation of the amplifier residual offset is negligible. 4. Conclusion All ACS/WFC images will suffer from small uncertainties in bias level subtraction due to the random variation in the difference between the bias level in the leading physical overscan and the bias level in the active area. Due to the random nature of this variation, the error associated with reference frames, such as the superbias and the superdark, will be reduced by the square root of the number of bias and dark images used to build the reference files. Update on Amp B fluctuations: We recently discovered a different problem, associated with the bias level in Amp B, that can produce a final image where the jump at the amplifier edges is noticeably larger than the one due to the residual offset instability. Some calibrated images show an amplifier edge jump in WFC1 of up to 0.8 DN (A-B). If the final image is a combination of n frames (CR-SPLIT or dithered observations) the bias jump at the center of the WFC1 frame is n × 0.8. As noted above, the bias level of the B quadrant shows an instability peak-to-peak of ∼ 15 DN. Such an instability is also visible in the bias level of science frames. However, the distribution of the bias level in frames with a non-zero exposure time seems to be bimodal with a “high” and “low” status which best match the high and low ends of the “15-DN” range. When the bias level in B is in the “high” status, the jump between A and B is only due to the residual offset instability and can be neglected. However, when the bias level in B is “low,” then in addition to the amplifier residual offset, there is a contribution of ∼ 0.8 DN from the bias frame subtraction. More studies are in progress to better characterize this new problem and find a solution or develop a correction to apply directly into the calibration pipeline. At the moment we suggest that ACS users fit the sky level in each quadrant separately. References Sirianni, M., Martel, A. R., & Hartig, G. 2001, WFC4 Overscan Analysis and Bias Subtraction, The ACS Calibration Web Pages—Results (Johns Hopkins University) Hack, W. 1999, “CALACS Operation and Implementation,” Instrument Science Report ACS 99-03 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. On-Orbit Performance of the ACS Solar Blind Channel Hien D. Tran, Gerhardt Meurer, Holland C. Ford, Andre Martel, Marco Sirianni Dept. of Physics & Astronomy, The Johns Hopkins University, Baltimore, MD 21218 Ralph Bohlin, Mark Clampin, Colin Cox, Guido De Marchi, George Hartig Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Randy Kimble Goddard Space Flight Center, Code 681, Greenbelt, MD 20771 Vic Argabright Ball Aerospace, Boulder, CO 80301 Abstract. The ACS solar blind channel (SBC) is a photon-counting MAMA detector capable of producing two-dimensional imaging in the UV at wavelengths 1150– 1700 Å, with a field of view (FOV) of 31 ×35 . We describe the on-orbit performance of the ACS/SBC from an analysis of data obtained from the service mission observatory verification (SMOV) programs. These data show that the detector is behaving nominally. Images of stars with the SBC reveal an aberration in the optics similar to that observed in the HRC at UV wavelengths. 1. Introduction The Solar Blind Channel (SBC) of the Advanced Camera for Survey (ACS), installed in March 2002 on the Hubble Space Telescope (HST ) during Service Mission 3B (SM3B) is a spare detector from the Space Telescope Imaging Spectrograph (STIS) program. It is a Multi-Anode Microchannel Array (MAMA) photon-counting device that uses a CsI photocathode on a curved microchannel plate (MCP). To improve the quantum efficiency, the MAMA detector has been equipped with a field electrode, or repeller wire, that repels electrons emitted away from the MCP back into the channel. Optimized for UV imaging at wavelengths 1150 Å to 1700 Å, the SBC has an imaging area of 1024 × 1024 pixels with a sampling of 0.030 per pixel, yielding a total field of view of 31 × 35 . Besides a set of long-pass filters (F115LP, F125LP, F140LP, F150LP, F165LP), and a Lyα (F122M) filter for direct imaging, it is also equipped with two prisms for low-resolution (R ∼ 100) objective prism spectroscopy. The detector is cosmetically fairly clean, the only defects being a broken anode and three small clusters of hot pixels. As with the STIS MAMA detector, the ACS/SBC has bright-object limits to protect it from radiation damage. For non-variable sources, the local (per pixel) count rate cannot be over 50 counts/sec/pixel, and the global (over the whole detector) limit is < 2 × 105 counts/s. The optical performance of the SBC is comparable to that of the STIS FUV-MAMA. The ACS/SBC is expected to give slightly higher quantum efficiency but lower S/N due to higher dark current than the STIS FUVMAMA. Since launch, a number of tests for performance characterization of ACS have been carried out as part of the service mission observatory verification (SMOV) program. We briefly report here the results of some of these tests for the SBC. Some discussion of the 86 On-Orbit Performance of the ACS Solar Blind Channel 87 ACS imaging quality is also given in Hartig et al. (2002), and the geometric distortion in the ACS detectors is described by Meurer et al. (2002). 2. SMOV Results Observations of the globular star cluster NGC 6681 were used to characterize many of the SBC properties, including flux calibration, geometric distortion, low-order flat creation, PSF, and monitoring of contamination. 2.1. Detector Health An important SBC diagnostic is the so-called “fold analysis.” Individual photon events generate charge clouds which impinge on the position-sensing anode array. The number of anode lines that collect a charge signal is the “fold number” for the event. The distribution of fold numbers measures the gain distribution for the MCP. A shift to lower fold numbers would imply gain sag in the MCP, perhaps due to excessive accumulated illumination, while a shift towards larger fold number pulses could indicate leakage of gas into or production of gas within the sealed detector tube. Comparison of event distributions observed during ground testing of the tube in 1997 and more recently in-flight shows that there is little change in the distributions over a period of ∼ four years. This indicates that the detector is in fairly good health. 2.2. Dark Currents The first in-flight observations for a “super dark” image were taken over a ten hour span, near the maximum time between South Atlantic Anomaly passages. The mean dark rate in this image is 1.049e−5 counts/sec/pixel = 0.0378 counts/hour/pixel. This fairly low rate is comparable to those measured during the thermal vacuum ground calibration campaign of July 2001 (Martel et al. 2001), and is largely due to a relatively cool tube temperature TSBC = 15◦ to 27◦ C during the observations. Ground thermal modeling indicates that a thermal balance at TSBC = 35◦ to 37◦ C may occur, in which case the dark rate will be about three times higher. 2.3. Image Quality Figure 1 illustrates the PSF structure in SBC images. The right-hand panel shows an encircled energy (EE) curve and a radial profile of a star in the first light data. The solid curves show the profiles at nominal x-scale, whereas the scale has been stretched by a factor of ten for the dashed curves. The EE curve shows that 28% of the light is contained within a circular aperture 0.12 in diameter, while 51% of the light is contained within a diameter of 0.25. The left hand panel expands a portion of the F125LP first light image. These data have been corrected for geometric distortion. There is a small spur extending ∼ 0.13 from the center of each PSF to the lower right. This is due to aberration in the system. A similar aberration is seen in UV images of the high resolution channel (HRC), but the aberration is not seen at optical wavelengths with either HRC or the wide field channel (WFC; Hartig et al. 2002). 2.4. Sensitivity The SMOV data indicate that the SBC throughput is very close to pre-launch expectations. In Figure 2 we show the average ratio of the observed over expected count rates for 10 different stars in NGC 6681, whose spectra are well-known from STIS spectroscopy, as a function of wavelength. The on-orbit data were measured within a 0.4 radius aperture. Data for the F122M (Lyα) filter came from the standard star HS+2027. Except for F165LP, the sensitivity of the SBC is very close to expectations. The ∼ 16% increase in sensitivity 88 Tran, et al. Figure 1. ACS/SBC PSF profile (right bottom) and encircled energy curve (right top). The left panel shows the low-level elongation to the lower right in the PSF of each star due to aberration. in the F122M band is probably not a result of higher efficiency of the detector, but may be due to red leak. 2.5. Contamination Monitor The UV sensitivity of the ACS/SBC MAMA detector was monitored approximately once a week for the first two months, and once a month thereafter, using observations of a field in the globular cluster NGC 6618. This field contains several stars well-observed with STIS for its own UV sensitivity monitoring program. The SBC observations were made through all five longpass filters (F115LP, F125LP, F140LP, F150LP, F165LP). The results of the UV contamination monitor show that the observed count rates are quite stable, and behave nominally for all SBC filters. Figure 3 shows that the count rates measured within a 0.6 radius aperture do not change significantly during the six epochs over the first 72 days that the SBC UV fluxes were monitored. We conclude from this behavior, and from the throughput comparison with STIS, that the SBC optics suffered no degradation in throughput resulting from any contamination during the service mission. Acknowledgments. ACS was developed under NASA contract NAS5-32864, and this work was supported by a NASA grant. References Hartig, G. F., et al. 2002, in Future EUV and UV Visible Space Astrophysics Missions and Instrumentation, eds. J. C. Blades & O. H. Siegmund, Proc. SPIE, Vol. 4854, in press [4854-30] Martel, A. R., Hartig, G., & Sirianni, M. 2001, http://acs.pha.jhu.edu/instrument/calibration/ results/by item/detector/sbc/darks jul01/ Meurer, G. R., et al. 2002, in Future EUV and UV Visible Space Astrophysics Missions and Instrumentation, eds. J. C. Blades & O. H. Siegmund, Proc. SPIE, Vol. 4854, in press [4854-30] On-Orbit Performance of the ACS Solar Blind Channel Figure 2. Average observed/predicted count rate ratios of 10 different stars in NGC 6681 as a function of SBC bandpasses. In order from left to right, the filters are: F122M, F115LP, F125LP, F140LP, F150LP, F165LP. 160 140 120 100 80 60 40 0 20 40 60 Time since first epoch (days) Figure 3. Count rates versus time for six different stars in NGC 6681 through the F115LP filter of SBC. Similar behavior is seen for other filters. No significant changes in count rates are seen as a function of time over the first two months of monitoring. 89 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Modelling the Fringing of the ACS CCD Detectors J. R. Walsh, N. Pirzkal & A. Pasquali Space Telescope European Co-ordinating Facility, European Southern Observatory, Karl-Schwarzschild Strasse 2, D-85748 Garching, Germany Abstract. The fringing of CCD detectors occurs because of interference between the incident light and the light internally reflected at the interfaces between the thin layers of the CCD chip. Knowing the construction of the CCD, namely the materials composing the layers, their refractive index variation with wavelength and their thicknesses, the resulting fringe amplitude can be calculated from geometrical optics. Malamuth et al. have applied this technique to the STIS CCD. The topmost layer controls the high frequency fringes and the lower layers the envelope of the fringing amplitude with wavelength. Modelling of the four-layer structure of the ACS CCDs is described. The High Resolution Channel (SITe) CCD is a copy of the STIS one and so has a similar structure, but the Wide Field Channel (also SiTe) chip has proprietary construction. The observed fringe amplitude across the CCD is used to predict the spatial variation of the thickness of the top layer, whilst the thicknesses of the lower layers are kept fixed. By applying the model maps of the layer thicknesses, the observed fringing in ACS can be strongly reduced from peak-to-peak of >20% to a few percent. 1. Fringing in CCDs Interference in the CCD detection layer between incident light and that reflected from interfaces of the thin layers leads to fringing. As the silicon layer becomes more transmissive in the red, so more signal is contributed by internally reflected light. The fraction of light internally reflected depends on the number of layers of the CCD, their thickness and material, which enters through the complex refractive index, and the wavelength of the incident light. Knowing in detail the bulk construction of the CCD, the resulting fringe amplitude can be calculated from geometrical optics. The refractive index generally varies as a function of wavelength for most materials (Palik 1985), and is a key ingredient for the optical modelling. Malamuth et al. (2000; 2002) successfully applied this technique to the STIS CCD. By matching the observed fringe amplitudes across the CCD, the thicknesses of the layers can be modelled using tabulated refractive indices, although Malamuth et al. found that the bulk Si refractive index had to be adjusted over some wavelength range to obtain a satisfactory fit. Here we apply the fringe modelling technique to the ACS thinned, backside-illuminated CCDs. 2. ACS High Resolution Channel The ACS High Resolution Channel (HRC) CCD is a SITe STIS spare, so was modelled closely following the Malamuth et al. parameters for STIS. It is composed of 4 layers as shown in Figure 1 (left). The lower 3 layers combine to modulate the envelope of the fringe amplitude, whilst the top Si (detection) layer produces the high frequency fringing. The optical modelling is performed by summation of the amplitudes of the E-vectors for the incident and 4 returned rays at a grid of wavelengths, as for multi-layer coatings (cf. Born 90 Fringe Modelling for ACS 91 Figure 1. The layer structure of the ACS High Resolution Channel SITe CCD is shown in the left panel and the assumed layer structure of the ACS Wide Field Channel SITe CCD in the right panel. & Wolf, p. 627). The data with which to compare the model consisted of 37 continuum lamp images taken with the RASCAL simulator, illuminated by a monochromator (20 Å bandpass), whilst the ACS was under ground testing at Goddard. ACS has no on-board facility for narrow band illumination, so ground calibration was critical. The function to be minimized (rms of observed-predicted fringe amplitude as a function of layer thickness) is highly periodic and several passes were required to locate the minimum. An amplitude factor, to allow for the fact that the geometrical optics model is not exact in terms of transmissions and reflectivities of the layer interfaces, was also applied, but was taken as a constant. Figure 2 shows the model compared with the observed monochromatic fringe amplitudes at the chip center. The 10242 image of the layer thickness of the HRC Si layer was used to compute a model fringe map for direct comparison with the observed data. Figure 3 (left) shows the observed fringing map at 9200 Å. In the fitting procedure, the influence of the 2nd layer (SiO2) was investigated by varying its thickness using the initial map of the 1st (Si) layer (Figure 1). It was found that there is little to be gained by using a pixel-by-pixel fit to the thickness of the 2nd layer. This is clear from the Figure 3 (right), which shows the observed fringing and the residuals after correcting by the model, where the traces across the CCD were formed by averaging two rows (511–512). The strong reduction in the observed fringing demonstrates the effectiveness of the fringe modelling as applied to the HRC chip. 3. Wide Field Channel The Wide Field Channel (WFC) has two 4096 × 2048 SITe back-illuminated chips using MPP technology, but of proprietary construction. No layer thickness or materials data were available. The same 4 layer model as for the HRC chip was however assumed and the thicknesses of the layers to match the observed fringing were similarly modelled (see Figure 1, right). 46 monochromatic flats were taken during ground testing at Goddard, of width 20 and 10 Å, and the minimum rms of the observed-model fringe amplitude was better defined than for the HRC. By minimizing the rms for each layer separately, a satisfactory fit for the chip structure could be found (see Figure 1). Keeping the thickness of the layers 2–4 92 Walsh, et al. Figure 2. The model fringing (continuous line) is shown for a 2 × 2 pixel area at the center of the HRC chip with the observed fringe amplitude, displayed by crosses, as a function of wavelength. Figure 3. In the left panel is shown the observed fringing map at 9200 Å; the peak amplitude is 0.15. In the right panel, the observed fringing at 9440 Å (upper trace) is compared with the result of correcting the observed fringing by the model using the pixel-to-pixel fit to the top CCD layer only (middle) and for the fit with a pixel-by-pixel fit of the top two layers (bottom). Fringe Modelling for ACS 93 Figure 4. In the left panel, the modelled layer thickness of the top layer of the WFC CCD (limits 12.61 to 17.13 µm) is shown with the two chips butted together. The right panel shows the observed fringing at 9440 Å (upper trace) compared with the result of correcting the observed fringing by the model (lower trace). fixed, the observed fringing of the 46 flats was modelled as a function of Layer 1 (assumed to be Si) thickness. The result is shown in Figure 4 (left); the sampling is 1 × 1 pixels and the ‘cosmic doughnut’ familiar from flat field images is apparent. Comparing model fringe maps with observed shows good agreement; correcting the observed fringing by the model can reduce the amplitude of fringing from 0.12 to ∼ 0.03 (see Figure 4 right for row 1021 of CHIP2). So far no detectable fringing has been found in WFC 1st order spectra. This is because the PSF modulates the fringing of the slitless spectra over the range of ∼ 2 pixels (80 Å) reducing it to ∼ few %. For the HRC the detectable fringing for point sources is larger since the pixels are narrower in wavelength (27 Å in 1st order). 4. Correction for Fringing The fits to the CCD layer thickness will be incorporated in the ACS slitless spectra reduction package, aXe (Pirzkal et al. 2001), to effectively reduce observed fringing in extracted spectra. When wavelength is assigned to a pixel in an extracted slitless spectrum, the fringe amplitude is computed from the model and the observed signal corrected. This fringe modelling method is quite general and can be applied to any CCD, given specification of its layer structure and a set of monochromatic flat fields over the wavelength range of significant fringing. Malumuth (this volume, p. 197) has applied the method to the WFC3 CCDs. References Born, M. & Wolf, E. 1975, Principles of Optics, 5th ed. Malumuth, E. M., Hill, R. S., Gull, T. R., et al. 2000, AAS, 197, 1204 Malumuth, E. M., Hill, R. S., Gull, T. R., et al. 2002, AJ, in press Palik, E. D. 1985, Handbook of Optical Constants of Solids Pirzkal, N., Pasquali, A., & Demleitner, M., 2001, ST-ECF Newsletter, No. 29, p. 5. Part 2. STIS 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. STIS Calibration Status Charles R. Proffitt1,2, Paul Goudfrooij, Thomas M. Brown, James Davies, Rosa Diaz-Miller, Linda Dressel, Jessica Kim Quijano, Jesús Maı́z-Apellániz, Bahram Mobasher, Mike Potter, Kailash Sahu, David Stys, Jeff Valenti, Nolan Walborn, Ralph Bohlin, Paul Barrett, Ivo Busko, and Phil Hodge Space Telescope Science Institute, Baltimore, MD 21218 Abstract. Last year’s failure of the STIS Side-1 electronics temporarily suspended use of the instrument. The Side-1 electronics are not repairable, but operations were resumed in August of 2001 using the redundant Side-2 electronics. STIS was fully returned to operation, with only minimal impacts on scientific performance. MAMA detector performance continues to be very good, with sensitivity changes of 1 to 2 percent per year. Although the detailed relation between the NUV MAMA detector temperature and dark current has changed, typical NUV dark current levels are similar to those in previous cycles. The FUV dark current varies irregularly, and it is now usually significantly higher than it had been during the first two years of STIS operations. The effects of radiation damage on the STIS CCD detector continue to follow previous trends, with declining charge transfer efficiency, increasing dark current, and increasing numbers of hot pixels. We also review the use and calibration of the E1 aperture positions which can be used to ameliorate CTE effects. 1. Side 1 Electronics Failure A fuse on the main STIS power bus blew on May 16, 2001, safing the STIS instrument. A diagnostic test that was intended to repower the primary Side-1 electronics in stages by using an alternate power bus, resulted in another blown fuse as soon as the first STIS internal relay was closed. After review of the available telemetry and detailed engineering analyses, the failure review board (Davis et al. 2001) identified a number of possible causes, but concluded that the most likely cause was a shorted tantalum capacitor. There is essentially no chance that this type of capacitor could be melted open once shorted, and on-orbit repair appears to be impractically complex. It was concluded that no portion of the Side-1 electronics can be recovered. Fortunately, STIS has a redundant set of electronics (Side-2), which was successfully used to reactivate STIS in early July 2001. The MAMA detectors and most instrument mechanisms perform much as they did on Side 1. However, because the Side-2 electronics lack a functioning temperature sensor for the STIS CCD detector, the CCD can no longer be operated at constant temperature. Instead, the thermo-electric cooler is operated at constant current, and while the mean detector temperature is actually lower than the −83 C Side-1 set point, both the CCD temperature and dark current vary significantly (Brown 2001a). The STIS CCD also suffers from a ≈1 e− /pixel increase in read noise due to electronic pickup from the Side-2 electronics. This noise can under some circumstances be 1 2 Science Programs, Computer Sciences Corporation Catholic University of America Institute for Astrophysics and Computational Science 97 98 Proffitt, et al. Figure 1. The number of CCD hot pixels vs. time. The apparent drop in mid2001 is caused by the lower mean operating temperature of the CCD under Side-2 operations. Because the brightness of a given hot pixel decreases with decreasing detector temperature, at a lower temperature fewer pixels exceed a given fixed threshold. ameliorated by Fourier filtering of the image (Brown 2001b). These differences are also discussed by Brown (2003) in these proceedings. 2. Detector Performance Other than the differences between Side-1 and Side-2 discussed above, changes in STIS CCD detector performance continue previous trends—apart from some scaling differences caused by the lower mean CCD detector temperature under Side-2 operations. The number of hot pixels (Figure 1) and the typical dark current continues to increase as radiation damage accumulates on the detectors. As of September 2002, the mean STIS CCD dark rate is 0.026 e− /pixel/s, and, after eliminating hot pixels, the median dark rate is 0.004 e− /pixel/s. The charge transfer efficiency (CTE) continues to degrade, and is discussed in detail by Goudfrooij et al. (2003). The MAMA detectors were not directly affected by the switch to the Side-2 electronics; however, there are some long term changes in the behavior of the detectors that can affect the calibration. Changes in the detector sensitivity over time are discussed in these proceedings by Bohlin (2003) and by Stys (2003). Here we will review long term changes in the behavior of the MAMA dark currents. NUV MAMA Dark Current. The NUV MAMA dark current is dominated by phosphorescence of impurities in the MgF2 faceplate of the detector. These impurities contain metastable states which become populated by charged particle impacts, especially during SAA passages, which can decay several days later, emitting UV photons. A model of the dark current was developed by Jenkins (1997, private communication) and Kimble (1997) (see also Ferguson & Baum 1999), and predicts that over short time scales the dark current will vary exponentially with temperature. Over longer time scales the behavior will depend STIS Calibration Status 99 Figure 2. The NUV MAMA dark current versus detector temperature for two different time periods. on the detailed temperature history of the detector window as well as on any variation in the number of charged particle impacts. The model predicts that long term increases in detector temperature will also lead to an increase in the mean NUV dark current, although with a slope much shallower than the short time scale variations with temperature. Prior to SM3a in early 2000, both the mean detector temperature and the mean dark current were increasing over time. However, since that time, the average NUV MAMA dark current has been decreasing, even though detector temperatures have continued to increase. During Cycle 11, the mean NUV dark current has been about 12% lower than during Cycle 8 (Figure 2). Also note that even when detector temperatures are very low, the dark rate no longer drops below about 0.0009 cnts/s/lo-res-pixel. The scaling formula used in the STIS pipeline has been updated for these changes in behavior. New NUV dark reference files are also periodically delivered to account for small changes in the distribution of dark current across the detector. FUV MAMA Dark Current. The FUV MAMA does not suffer from the phosphorescent glow seen in the NUV MAMA, and as a result it has a much lower dark current than other STIS detectors. It does, however, suffer from an intermittent glow of unknown origin centered in the upper left quadrant of the detector (Figure 3). This glow has become patchier and more frequent over time. The lower right corner remains free of the glow, with a mean dark rate of 6.6 × 10−6 cnts/s/pixel. The average FUV MAMA dark rate has been increasing over time, and, at any given time, tends to increase with increasing detector temperature (Figure 4). However, the strongest correlation appears to be with the length of time that the MAMA high voltage has been turned on. Typically the MAMA high voltages are turned off prior to the block of HST orbits that pass through the South Atlantic Anomaly (SAA), and are turned back on after this block of orbits. The result of these policies is that FUV MAMA observations taken on the very first orbit after the high voltage has been turned back on will usually have very low dark currents, with little contribution from the intermittent glow. However, as there is only one such orbit available per day, it is not practical to reserve that orbit for 100 Proffitt, et al. Figure 3. FUV MAMA dark current. This figure is the mean of dark monitor exposures taken between July 2001 and September 2002. Dark regions in this figure correspond to areas of higher dark current. FUV programs that would benefit from a very low dark current, as doing so would have too large an impact on the flexibility needed for efficient scheduling of HST. We instead recommend that very faint targets be placed in the darkest part of the detector. For very faint point source spectra, putting the spectrum about 2 above the bottom edge of the detector (POS TARG 0 -6.8), will put the spectrum in a region of much lower dark current (see Figure 5). We plan to introduce and calibrate a new pseudo-aperture position for this purpose during Cycle 12. External cooling of the FUV MAMA detector would likely result in some decrease in the typical dark current, but it probably will not completely restore the very low dark currents that were commonly seen during the first two years of operation. The number of hot pixels in the FUV MAMA has also been increasing with time. The number of hot pixels tends to correlate well with the mean intensity of the glow. New dark reference files have recently been delivered to track this increase. 3. E1 Aperture Positions for Reducing CTE Effects The decline in CCD charge transfer efficiency (CTE), as radiation damage has accumulated on the detector, causes declines in the measured signal that depend both on the detected signal level as well as on the location of the image or spectrum on the detector (see Goudfrooij 2003 elsewhere in these proceedings). Starting in Cycle 9, new “pseudo-aperture” positions were defined for 1st order spectroscopy that allow targets to be easily placed near the top of the CCD. This reduces the number of parallel charge transfers from ≈ 512 to ≈ 124, and proportionately reduces the electrons lost to charge traps during the readout. STIS Calibration Status Figure 4. FUV MAMA dark current in glow region vs. time. Figure 5. The FUV MAMA mean dark current vs. detector column, in a seven pixel high extraction box near the standard extraction position (−3 below the detector center, dotted line) and in a box near the proposed pseudo-aperture position (6.8 further down, solid line) are compared. The data used are an average of 116 1380 second dark monitor exposures taken between July 2001 and September 2002. This illustrates the typical reduction in the dark current that will result from putting 1st order spectra 2 above the bottom of the detector. 101 102 Proffitt, et al. There are several advantages to using these new positions. • Losing fewer electrons during the read-out directly increases the S/N. • Because fractional CTE losses are larger at lower signal levels, the differential CTE losses can distort spectra. This can, for instance, change the apparent equivalent width of line features. • Trapped electrons often reappear later during the read, causing “tails” to appear below bright features. This not only distorts the spatial profiles of real features, but these CTE tails below cosmic rays and hot pixels can be a serious source of noise for background or dark current limited observations. Putting the spectrum near row 900 dramatically reduces this kind of noise. There are however, a few disadvantages to using the new E1 positions. • The E1 aperture positions are only about 6 below the top of the detector and about 6 above the upper aperture bar; there is therefore less room for extended objects. • For point source spectra at λ > 7500 Å, the use of contemporaneous IR flats for removing fringes (Goudfrooij & Christensen 1998) does not work as well as it does near the center of the detector. If S/N > 50 : 1 is needed at long wavelengths, we recommend using the regular aperture positions near row 512. For data taken at the E1 position, consideration should also be given to the use of Malumuth’s (2003) procedure for constructing fringe flats. • Some calibrations are not yet as well established near the E1 position as they are for data taken near the center of the detector. Extensive observations to improve the calibration of the sensitivity, dispersion, line-spread-functions, point-spread-functions, and aperture throughputs near the E1 positions have been collected during Cycles 10 and 11. We anticipate that the quality of the calibration at the E1 aperture positions during Cycle 12 will be nearly as high as it is for spectra taken near the center of the detector. 4. Recent and Pending Calibration Enhancements A number of recent improvements have been made to the STIS pipeline calibration. A number of these are detailed in the paper by Diaz-Miller et al. (2003), and in other papers in these proceedings. Below we will discuss the most significant of these recent changes, as well as the improvements we plan to deliver in the near future. Sensitivity Changes over Time. There have been clear changes in the sensitivity of the MAMA detectors over time. These changes vary with wavelength and detector, with sensitivity declining as much as 3% per year at the long wavelength end of the G140L wavelength range. NUV MAMA modes appear to have increased in sensitivity for the first year of STIS operations, but have since begun to decrease in sensitivity by 1 to 2% per year (Bohlin 1999; Stys & Walborn 2001; Stys et al. 2003). The STIS calibration pipeline now corrects 1st order MAMA spectroscopic modes for these changes in time dependent sensitivity. MAMA imaging modes also appear to show similar time and wavelength dependent sensitivity changes. The synphot package in the Space Telescope Data Analysis System (STSDAS) is currently being updated to allow the proper MAMA sensitivity curves to be used for any specified date. Evaluation of MAMA echelle modes is still in progress and we hope to include time dependent sensitivity corrections for these modes in the near future. Measurements of the time dependent changes in CCD sensitivity are complicated by the degradation of CCD charge transfer efficiency (CTE). Losses due to CTE effects depend STIS Calibration Status 103 on the signal level, the background level, and the position on the detector and need to be handled separately from time and wavelength dependent throughput changes. Both effects are currently being calibrated (see Goudfrooij 2003, and Bohlin 2003 in these proceedings), and we hope, in the near future, to also include time dependent sensitivity corrections for CCD modes in both the standard pipeline calibration and synphot. Other recent improvements affecting flux calibration include delivery of a low order flat for G140L observations that corrects for vignetting effects at different target positions along the detector y axis (i.e., perpendicular to the dispersion direction). Similar flats for CCD 1st order modes are in preparation. Improved pixel-to-pixel flats are also being generated for both MAMA and CCD modes and will improve the calibration for very high signal-to-noise observations. Improvements to Echelle Calibration. Among recent enhancements to the calibration of echelle data, the adoption in the pipeline of an improved algorithm for the subtraction of scattered light (Valenti et al. 2002, 2003) is especially noteworthy. Also important is the pipeline implementation of a fix for flux calibration problems caused by shifts in the blaze function. This problem and its solution are described in detail by Bowers & Lindler (2003) elsewhere in these proceedings. The largest part of the problem resulted from the monthly offsetting of the location of the spectrum on the detector, and while this offsetting was turned off for echelle spectral modes starting in August 2002, it is still necessary to correct earlier spectra affected by this problem. Currently the pipeline uses Bowers & Lindler’s algorithm to correct data taken at the primary echelle wavelength settings. New dispersion relations which better account for the effects of the monthly offsetting on the echelle wavelength solution have also been delivered to the pipeline. Other Enhancements Under Development. A number of other improvements in both pipeline software and post-pipeline analysis tools are currently under development. Below are some of the items we hope to complete and make available to the STIS user community in the near future. • CTE correction formulae for both imaging and spectroscopic observations (see Goudfrooij et al. 2003). • Better NUV-PRISM flux and wavelength calibrations for both on-axis and off-axis observations. • Improved software tools for the analysis of slitless spectra, that will allow quick matching of objects observed in both dispersed and undispersed light and easier extraction of properly calibrated 1-D spectra. • More and better options for background smoothing or interpolation for 1st order spectroscopic modes. • Increased on-line selection of imaging and spectroscopic PSFs for post-pipeline analysis. • Time dependent sensitivity corrections for all modes. • More accurate flux calibration for all secondary wavelength settings, including echelle blaze shift effects. References Bohlin, R. C. 1999, Changes in Sensitivity of the Low Dispersion Modes, Instrument Science Report STIS 99-07, (Baltimore: STScI) 104 Proffitt, et al. Bohlin, R. C. 2003, this volume, 115 Bowers, C. & Lindler, D. 2003, this volume, 127 Brown, T. M. 2001a, Temperature Dependence of the STIS CCD Dark Rate During Side-2 Operations, Instrument Science Report STIS 2001-003 (Baltimore: STScI) Brown, T. M. 2001b, STIS CCD Read Noise During Side-2 Operations, Instrument Science Report STIS 2001-005 (Baltimore: STScI) Brown, T. M. 2003, this volume, 180 Davis, M., Campbell, D., Sticka, R., Faful, B., Leidecker, H., Kimble, R., & Goudfrooij, P. 2001, STIS Failure Review Board Final Report (Baltimore: STScI) Diaz-Miller et al. 2003, this volume, 189 Ferguson, H. & Baum, S. 1999, Scientific Requirements for Thermal Control and Scheduling of the STIS MAMA Detectors after SM-3, Instrument Science Report STIS 99-02 (Baltimore: STScI) Goudfrooij, P. 2003, this volume, 105 Goodfrooij, P. & Christensen, J. A. 1998, STIS Near-IR Fringing. III. A Tutorial on the Use of the IRAF Tasks, Instrument Science Report STIS 98-29 (Baltimore: STScI) Kimble, R. 1997, STIS IDT Quicklook Analysis Report no. 37, Temperature/Time Modeling of MAMA2 Phosphorescent Dark Rate Malumuth, E. 2003, this volume, 197 Stys, D. J. & Walborn, N. R. 2001, Sensitivity Monitor Report for the STIS First-Order Modes-III, Instrument Science Report STIS 2001-01R (Baltimore: STScI) Stys, D., et al. 2003, this volume, 205 Valenti, J. A., Lindler, D., Bowers, C., Busko, I., Kim Quijano, J. 2002, ’2-D Algorithm for Removing Scattered Light from STIS Echelle Data, Instrument Science Report STIS 2002-001 (Baltimore: STScI) Valenti, et al. 2003, this volume, 209 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Correcting STIS CCD Photometry for CTE Loss1 Paul Goudfrooij Space Telescope Science Institute, Baltimore, MD 21218, USA Randy A. Kimble NASA Goddard Space Flight Center, Code 681, Greenbelt, MD 20771, USA Abstract. We review the various on-orbit imaging and spectroscopic observations that are being used to characterize the Charge Transfer Efficiency (CTE) of the Charge-Coupled Device (CCD) of the Space Telescope Imaging Spectrograph (STIS) aboard the Hubble Space Telescope. We parametrize the CTE-related loss for aperture photometry of point sources in terms of dependencies on X and Y positions, the brightness of the source, the background level, and the time of observation. Our parametrization of the CTE loss is able to correct point source photometry with STIS to an accuracy similar to the Poisson noise associated with the source detection itself. 1. Introduction Astronomical observation was revolutionized more than two decades ago by charge-coupled device (CCD) technology, due to a combination of generally linear response over a very large dynamic range and high quantum efficiency. One shortcoming of CCDs, however, is the imperfect transfer of charge from one pixel to the next. Charge Transfer Efficiency (CTE) is the term commonly used to describe such charge loss, and it is quantified by the fraction of charge successfully moved (clocked) between adjacent pixels. In practice it is often more useful to use the term Charge Transfer Inefficiency (CTI = 1−CTE). The observational effect of CTI is that a star whose induced charge has to traverse many pixels before being read out appears to be fainter than the same star observed near the read-out amplifier. Laboratory tests have shown that CTE loss of CCDs increases significantly when being subjected to radiation damage (e.g., Janesick 1991). This is particularly relevant for spaceborne CCDs such as those aboard Hubble Space Telescope (HST ), where the cosmic ray flux is significantly higher than on the ground. The purpose of the current paper is to characterize the CTI of the CCD of the Space Telescope Imaging Spectrograph (STIS) for point source photometry in terms of its dependencies on the X and Y positions, target intensity, background counts, measurement aperture size, and elapsed on-orbit time. Earlier on-orbit characterizations of the CTI of the STIS CCD have been reported by Gilliland, Goudfrooij, & Kimble (1999) and Kimble, Goudfrooij, & Gilliland (2000). The current paper uses two more years of on-orbit data, which provides a significantly more accurate temporal dependence. Furthermore, we provide (for the first time) an algorithm to correct STIS CCD imaging photometry for CTI. The STIS CCD is a 1024 × 1024 pixel, backside-illuminated device with 21 µm × 21 µm pixels. It was fabricated by Scientific Imaging Technology (SITe) with a coating process that allows it to cover the 200–1000 nm wavelength range for STIS in a wide variety of 1 Based on observations with the NASA/ESA Hubble Space Telescope, obtained at the Space Telescope Science Institute, which is operated by AURA, Inc., under NASA contract NAS5-26555. 105 106 Goudfrooij Figure 1. Schematic architecture of the STIS CCD. The 1024 × 1024 pixel device has two serial registers and four readout amplifiers. The nominal amplifier (amp D) is at the top right. imaging and spectroscopic modes. Key features of the STIS CCD architecture are shown schematically in Figure 1. Two serial registers are available. A read-out amplifier is located at all four corners, each with an independent analog signal processing chain. The full image can be read out through any one of the four amplifiers, or through two- and four-amplifier combinations. By default, science exposures employ full-frame readout through amplifier ‘D’, which features the lowest read-out noise. Further technical details regarding the STIS CCD in particular is provided in Kimble et al. (1994), while background information on the design of STIS in general can be found in Woodgate et al. (1998). This paper is organized as follows. We first address CTE degradation. Section 2 describes methods used to monitor the CTI: One method using standard, internal dark exposures, and two methods designed to quantify the CTI appropriately to observations of point sources in sparse fields for spectroscopic and imaging modes. We derive functional dependences of the CTI on source and background counts, X and Y position on the CCD, and elapsed on-orbit time in Section 3. Finally, Section 4 summarizes these results and describes an upcoming method to apply the CTI correction to photometric data tables derived from STIS images. 2. 2.1. Monitoring the CTE Cosmic Ray Tails An elegant method of monitoring CTI using the average profiles of cosmic rays observed in standard dark current measurements (and hence not requiring any valuable pointed, “external” telescope time) has been developed by Riess, Biretta, & Casertano (1999; see also Riess, this volume, p. 47). The method works as follows. While cosmic rays typically produce charge in more than one pixel, their induced charge distribution should statistically (i.e., averaged over the whole CCD) be symmetric about their highest-count pixel, without any preferred angular orientation. Hence, any systematic asymmetry in the cosmic ray profiles in the clocking direction of the CCD is a measure of the CTI (through charge Correcting STIS CCD Photometry for CTE Loss 107 Figure 2. CTI increase with on-orbit time, as measured by the excess signal in the trailing vs. the leading pixels of cosmic ray events detected in standard dark frames. Plotted is the amplitude of that excess signal after 512 transfers (representative for the center of the CCD). Note the much stronger CTI in the parallel clocking direction vs. the serial one. The gaps in time indicate extended periods during which STIS was in safe mode (zero-gyro mode and Servicing Mission 3A around 2.8 on-orbit years; Side-1 failure around 4.3 years; Servicing Mission 3B near 5 years). Data on serial CTI are only plotted when the fit was converging. trapping and subsequent release). Referenced to the highest-count pixel of the cosmic ray event, one measures the excess signal in the trailing pixels relative to that in the leading pixels. Averaging the results over thousands of cosmic rays in dark frames, a significant trailing charge excess is found which grows linearly with distance from the readout amplifier, a clear signature of CTI origin. Figure 2 shows the growth of the cosmic ray tails with onorbit time, showing (i) the steady growth of the parallel CTI since STIS was placed into HST, and (ii) the serial CTI. Since dark frames are taken daily with the STIS CCD, this method is excellent for providing a finely time-sampled measure of one aspect of CTE performance. However, it does not provide an adequate measure of the dependence of CTI on signal level, and only charge lost beyond a short tail is being measured. Charge trapping with longer time constants is measured using methods described below, which provide measures that are directly applicable to typical imaging and spectroscopic observations with the STIS CCD. 2.2. Internal Sparse Field Test A novel test method, which we designate the “internal sparse field” test, was developed by the STIS Instrument Definition Team for both ground calibration and in-flight use. It quantifies two key aspects of CTE effects on spectroscopic measurements: (i) The amount of charge lost outside a standard extraction aperture, and (ii) the amount of centroid shift experienced by the charge that remains within that extraction aperture. The test utilizes the ability of the STIS CCD and its associated electronics to read out the image with any amplifier, i.e., by clocking the accumulated charge in either direction for both parallel and serial directions. A sequence of nominally identical exposures is taken, 108 Goudfrooij Figure 3. Representative images used for the parallel version of the “internal sparse field” CTE test. At each of the five positions along the CCD columns, a sequence of exposures is taken, alternating between amplifiers ‘D’ and ‘B’. Systematic variation of the relative intensities observed by the two amplifiers as a function of position reveals the CTE effect. alternating the readout between amplifiers on either side of the CCD (e.g., amps ‘B’ and ‘D’ for measuring parallel CTI). After correcting for (small) gain differences in the two readout amplifier chains, the observed ratio of the fluxes measured by the two amps can be fit to a simple CTE model of constant fractional charge loss per pixel transfer. By inspecting the dependence of the observed flux ratio (e.g., ‘amp B’/‘amp D’) on the source position on the CCD, it can be confirmed that what is measured is indeed consistent with being due to a charge transfer effect. A key virtue of this method is that neither a correction for flat-field response nonuniformity is required, nor an a-priori knowledge of the source flux (as long as the input source is stable during the alternating exposures). It should be noted that what is being measured is actually a sum of the charge transfer inefficiencies for the two different clocking directions. However, given the identical clocking voltages and waveforms and with the expected symmetry of the radiation damage effects, we believe the assumption that the CTI is equal in the two different directions is a reasonable one. The implementation of this “internal”1 version of the sparse field test is as follows. Using an onboard tungsten lamp, the image of a narrow slit is projected at five positions along the CCD columns. At each position, a sequence of exposures is taken, alternating between the ‘B’ and ‘D’ amplifiers for readout. An illustration of such an exposure sequence is depicted in Figure 3. For each exposure, the average flux per column within a 7-row extraction aperture (which is the default extraction size for long slit STIS spectra of point sources, cf. Leitherer & Bohlin 1997) as well as the centroid of the image profile within those 7 rows are calculated. The alternating exposure sequence allows one to separate CTE effects from flux variations produced by warmup of the tungsten lamp. As the slit image extends across hundreds of columns, high statistical precision on CTE performance can be obtained even at low signal levels per column. Although these data are taken in undispersed (imaging) mode, the illumination is representative for typical spectroscopic observations (as the dispersion direction of STIS CCD spectral modes is along rows). The slit image has a narrow profile (2-pixel FWHM), similar to a point source spectrum. The CTI resulting from this test is “worst-case,” since there is essentially no background intensity (“sky”) to provide filling of charge traps in the CCD array. Early results from this test were reported in Kimble et al. (2000); a comprehensive update will be forthcoming (Goudfrooij et al. 2003, in preparation). 1 “Internal” in this context means that the necessary observations can be performed during Earth occultations, hence not requiring any valuable “external” HST observing time. Correcting STIS CCD Photometry for CTE Loss 2.3. 109 External Sparse Field Test Similar sparse-field CTE tests using “external” astronomical data have also been carried out in flight, on an annual basis (since 1999). These calibration programs (HST Program ID’s to date have been 8415, 8854, and 8911) has utilized both imaging and spectroscopy modes. The two observing modes are discussed separately below. Imaging Test Series of imaging data have been acquired once a year (since 1999) on a sparse field in the outskirts of the Galactic globular cluster NGC 6752, a field containing several hundred stars spanning a large range of intrinsic brightness. Every visit of the field consisted of 3 HST orbits, in which several exposures were taken using two different exposure times (20 s and 100 s per exposure). Several repeat exposures were taken at both exposure times, alternating again between opposing readout amplifiers. The image field is “sparse” in the sense that there are not many stars per CCD row or column. We deliberately choose a portion of NGC 6752 to ensure this, as it is well known that the CTE-induced loss in crowded fields are significantly ameliorated (due to trap filling) relative to the effects on isolated point sources, while the latter is what we intend to measure here. To allow an assessment of the effect of a varying sky background level, we took the data in the so-called Continuously Visible Zone (CVZ) of HST , in which the bright Earth comes closer than usual to the telescope pointing direction. The varying amount of scattered light from the bright Earth allows one to obtain a varying “sky” background during the CVZ orbits, and hence to obtain CTI measurements at a suitable range of sky background levels. Spectroscopy Test Series of spectroscopic data have also been acquired once a year since 1999, as part of the same calibration proposals as the aforementioned imaging CTE tests. The exposure setup is very similar to that used for the imaging exposures mentioned in the previous section (3 orbits per HST visit, cycling through three exposure times, alternating between the two different amplifiers). Slitless spectroscopy is performed of a sparse field within NGC 346, a young star cluster in in the Small Magellanic Cloud, again located within the CVZ. The G430L grating is used, which covers the wavelength region 2900–5700 Å at a dispersion of 2.73 Å/pixel. The sky background of this field features an ionized gas cloud (H ii region). Due to the spectral energy distribution of H ii regions within the wavelength coverage of the G430L grating (e.g., the three strong emission lines [O ii] λ3727, Hβ λ4861 and [O iii] λ5007), the “sky” background spectrum of these (slitless) data features three relatively constant flux levels along the dispersion direction. This aspect of this dataset allows one to average the star spectra over a suitably large number of columns, and hence increase the S/N ratio of the measurements, while the sky background (and hence its charge trap-filling effect) stays relatively constant. Results on the CTI in spectroscopic mode will be presented in Ralph Bohlin’s contribution to this volume (p. 115) as well as in Goudfrooij et al. (2003). We concentrate on the imaging results in the remainder of this paper. 3. CTI Analysis for Aperture Photometry of Point Sources The images were first sorted into groups with a given exposure time and background level. Images in each group were then averaged together into cosmic-ray-rejected images, using tasks basic2d and ocrreject in the stis package of stsdas. Aperture photometry was then performed using the daophot-ii package (Stetson 1987) as implemented within iraf using fixed-size apertures. Representative results on the parallel CTI for a short-exposure imaging dataset acquired in 1999 are shown in Figure 4 in which the observed flux ratio (amp D/amp B) vs. distance from amp B is plotted for two different ranges of stellar flux level per exposure. 110 Goudfrooij Figure 4. Relative fluxes as a function of position on the CCD, measured by amplifiers ‘D’ and ‘B’ for an image acquired in the external sparse field test. The best-fitting line in each panel has a slope equal to 2 × CTI. Object flux ranges, sky background value, aperture size and fitted CTI values (per pixel) are shown in each panel. The expected CTE behavior is clearly seen, with the closer readout amplifier systematically measuring a higher stellar flux than the more distant amplifier. In the CTE model we have been considering (i.e., a constant fractional charge loss per pixel transfer), the predicted flux ratio is a straight line with a slope equal to 2× CTI. It is clear that the CTI decreases with increasing signal level. Note also that the charge loss incurred for parallel clocking through the image area of the CCD is quite substantial for signal levels of a few hundred electrons or less. Serial CTIs were also determined, and found to be negligible for all purposes (i.e., orders of magnitude smaller, and consistent with zero given the uncertainties). In what follows, CTI is equated to parallel CTI. The default gain = 1 setting (i.e., 1.0 e− /ADU) is used throughout. To evaluate the dependence of the measured CTI on aperture size, measurements were made through three popular aperture sizes (diameters of 5, 7, and 11 pixels). The result is depicted in Figure 5. Fortunately, we don’t find any significant difference in CTI among the three apertures used. i.e., one can perform small-aperture photometry (with its increased S/N relative to larger apertures) without incurring a larger CTI. The dependence of CTI on the sky background, as derived from the 1999 visit of the external imaging sparse field test, is depicted in Figure 6. A particularly striking result from these measurements is the marked decrease in the CTI values for data with increasing sky background. Furthermore, the slope of log CTI vs. log background decreases systematically with increasing signal level. This suggests that the sky background fills traps in the bottoms of the potential wells of the CCD, mostly affecting the transfer of small charge packets. This substantial benefit of (only modest) sky background is good news for most STIS CCD imaging observations (which typically have longer exposure times than those used for these tests), in the sense that most exposures will not suffer from the large CTI values experienced during the low-background tests reported here. 3.1. Functional Form for CTI In evaluating a suitable functional form to characterize the CTI of the STIS CCD, we considered the following. First, CTI values measured for a given combination of signal and sky background levels show a time dependence that is consistent with linear (see Correcting STIS CCD Photometry for CTE Loss Figure 5. Similar to Figure 4, but the three panels now show results for three different aperture radii at fixed signal level and background. Note that the measured CTI is the same for each aperture (within the errors). Figure 6. Log CTI as a function of log background for six different flux levels (in October 1999). The flux levels, the slopes of the best-fitting line, and the latter’s uncertainties (in parentheses) are mentioned in each panel. Note the systematic decrease of the CTI dependence on the sky background with increasing signal level. 111 112 Goudfrooij http://www.stsci.edu/hst/stis/proposing/phase2/cy11 update.pdf), as was found earlier for WFPC2 data (Whitmore et al. 1999; Dolphin 2000). Furthermore, a glance at panel (a) of Figure 7 demonstrates that the logarithm of CTI scales roughly linearly with the logarithm of signal level (for a given background level), i.e., CTI ∝ exp(−a ln(counts)), while Figure 6 suggests a functional form similar to CTI ∝ exp(−a [sky/counts]b ). We attempted to fit the CTI values with a combination of those two functional forms as well as other (additional) terms. After extensive experimentation, the following functional form produced the best fits to the data: bck CTI = (1 + a yr) × b exp (−c lcts) × d exp (−e lbck) + f exp −g counts where h (1) yr ≡ (MJD − 51831)/365.25 lcts ≡ ln(counts) − 8.5 bck ≡ sqrt(sky2 ) lbck ≡ ln(sqrt(sky2 + 1)) − 2 The constants 51831, 8.5, and 2 were roughly the averages of the corresponding parameters in the data, and were included to provide numerical stablity as well as to produce independent coefficients (a through h). The sqrt(sky2 ) term in the “bck” and “lbck” parameters was introduced to avoid logarithms of negative values. The parameter a was determined by defining a set of signal and sky background levels that were in common between the data from all epochs, and measuring the fractional CTI increase per year for all those sets. Parameter a was then defined to be the weighted mean fractional increase of CTI per year (weighted by the inverse variance of the fractional CTI increase for each set). Initial estimates of the values of parameters b through h and their uncertainties were made using bootstrap tests. A robust fit parameter was then minimized using a non-linear minimization routine from Numerical Recipes (Press et al. 1992). The resulting best-fit values of the parameters in eq. (1) are listed in Table 1. Table 1. Coeff. a b c d e f g h Best-fit Values of Coefficients in CTI Functional Form Value 0.11 ± 0.03 (9.32 ± 0.09) 10−5 0.37 ± 0.01 0.23 ± 0.02 0.60 ± 0.05 0.48 ± 0.01 1.80 ± 0.10 0.40 ± 0.04 Description Time dependence CTI normalization Flux (count) level dependence Normalization for background dependence Background level dependence Normalization for background/flux ratio dependence Background/flux ratio dependence Power of background/flux ratio The quality of this parametrization of the CTI correction is depicted in Figure 7 (panels b – d), separately for each observation epoch. Quantitatively, the CTI parametrization formula yields a correction that is accurate within 7% for any data point. To put this in perspective, an observation of a typical faint object with a signal of 100 e− and a background of 2 e− per pixel at the center of the CCD underwent a CTE loss of ∼ 17% in September 2001 (cf. Figure 7d). The CTI parametrization corrects this loss to a photometric accuracy of 1.2%, which is similar to the uncertainty due to Poisson noise for that object. Correcting STIS CCD Photometry for CTE Loss Figure 7. Panel (a): CTI vs. object signal for the September 1999 dataset. Panels (b)–(d): CTI vs. parameter “lcts” (see eq. 1), separately for each observation epoch (1999 through 2001). The percentage charge loss at row 500 of the CCD is shown on the right side of panels (b) and (d). The lines in panels (b)–(d) depict the bestfit CTI parametrization as discussed in Section 3.1. Symbols and line types are associated with specific sky background levels, as depicted in the legend of each panel. The CTI parametrization fits the data to within 7% (max. error), leading to a photometric accuracy of < ∼ 1% after applying the correction. 113 114 3.2. Goudfrooij Applying the CTI Correction Formula Once the CTI has been determined for a given object by applying Eq. (1) using the coefficients in Table 1, the actual CTI correction to the observed counts is: Corrected Counts = Observed Counts 1 − CTI × 1024 YBIN − YCEN where YBIN is the binning factor in the Y direction (data header keyword binaxis2) and YCEN is the observed Y coordinate of the object in question. 4. Concluding Remarks We have reviewed the methods used to monitor the evolution of the CTI of the STIS CCD, using both internal and external exposures which provide measures that are directly applicable to typical imaging and spectroscopic observations with the STIS CCD. We analyzed the imaging datasets observed through the fall of 2001 to derive a functional form for the CTI correction in a semi-empirical fashion. After applying this CTI correction formula to observed data, systematic residuals stay within 1%. In the near future, we will perform a similar characterization of the CTE loss occurring for spectroscopic observations of point sources. CTE correction formulae for STIS CCD observations will be incorporated in a stsdas task within the stis package. In case of imaging photometry, we will provide an option to use either ascii or stsdas tables (e.g., those supplied by the daophot package) as input files to the task. As always, STIS observers will be informed of STIS calibration updates by email, through the Space Telescope Analysis Newsletter which is also available through the “Document Archive” section of the STIS website at http://www.stsci.edu/hst/stis. Acknowledgments. We appreciated discussions with Ron Gilliland, Adam Riess, and Brad Whitmore. References Dolphin, A. E. 2000, PASP, 112, 1397 Gilliland, R. L., Goudfrooij, P., & Kimble, R. A. 1999, PASP, 111, 1009 Goudfrooij, P., Kimble, R. A., Gilliland, R. L., & Potter, M. 2003, in preparation Janesick, J., Soli, G., Elliot, T., & Collins, S., 1991 SPIE Electronic Imaging and Technology Conference on Solid State Optical Sensors II, 1147 Kimble, R. A., Brown, L., Fowler, W. B., Woodgate, B. E., Yagelowich, J. J., et al. 1994, Proc. SPIE, 2282, p. 169 Kimble, R. A., Goudfrooij, P., & Gilliland, R. L., 2000, Proc. SPIE, 4013, p. 532 Leitherer, C. & Bohlin, R. C. 1999, Instrument Science Report STIS 97-13 (Baltimore: STScI), available through http://www.stsci.edu/hst/stis Press, W. H., Flannery, B. P., Teukolsky, S. A., & Vetterling, W. T. 1992,Numerical Recipes in Fortran (Cambridge: Cambridge University Press) Riess, A., Biretta, J., & Casertano, S. 1999, Instrument Science Report WFPC2 99-04 (Baltimore: STScI), available through http://www.stsci.edu/instruments/wfpc2 Stetson, P. B. 1987, PASP, 99, 191 Whitmore, B. C., Heyer, I., & Casertano, S. 1999, PASP, 111, 1559 Woodgate, B. E., Kimble, R. A., Bowers, C. W., Kraemer, S., Kaiser, M. E., et al. 1998, PASP, 110, 1183 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. STIS Flux Calibration R. Bohlin Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The low dispersion STIS spectrophotometric flux calibration must account for all instrumental non-linearities and all changes in sensitivity with time and temperature. An empirical algorithm for CCD Charge Transfer Efficiency (CTE) is presented along with the wavelength dependent sensitivity changes. Precise STIS spectrophotometry includes corrections for CTE losses as large as 20% for faint signals and low sky, for MAMA non-linearities of ∼ 2%, and for loss in system throughput that currently reaches a maximum ∼ 15% at 1625 Å with an average loss of more than 10% for G140L spectra on the FUV-MAMA. Newly available LTE and NLTE models from I. Hubeny’s TLUSTY code are compared to the old flux distributions for the Koester/Finley LTE models of the four primary flux standards. The uncertainty in the corrections and in the flux standards are all small enough, so that flux distributions relative to 5500 Å in the V -band can be measured in the photometric 52 × 2 arcsec slit to a precision of ∼ 1% over much of the 1150–10,000 Å STIS wavelength coverage. The NLTE model flux distributions are probably correct within ∼1% to 2.5 µ in the IR; and a model for the total uncertainty is presented. 1. Introduction The SNAP (SuperNova/Acceleration Probe) mission to determine the dark energy equation of state parameters has motivated attempts to improve the precision of spectrophotometric standards to an accuracy of ∼ 1% in the relative flux. In order to achieve the prime science goals, the SNAP program requires ∼ 1% accuracy in the relative flux calibration over its 0.4–2 µ wavelength range. The HST primary standard stars used for the absolute flux calibration of STIS and NICMOS are directly relevant to the SNAP program. In simple terms, the sensitivity of a spectrometer as a function of wavelength is used to measure the flux F of an observed science target or a secondary stellar flux standard by F (λ) = C(λ)/S(λ) , (1) where C is the observed count rate. To determine the sensitivity S, the most straightforward method is to observe a standard star with a known flux distribution Fstd S = Cstd /Fstd . (2) The best primary stellar flux standards from 0.1–3 µ are the set of four unreddened, pure hydrogen white dwarf (WD) stars G191B2B, GD153, GD71, and HZ43 (Bohlin 2000), while STIS secondary standards are presented by Bohlin, Dickinson, & Calzetti (2001). The temperature and gravity of the primary standards are determined from fits to the Balmer line profiles (e.g., Finley, Koester, & Basri 1997); and model atmosphere calculations determine the relative flux distributions (e.g., Barstow et al. 2001). Precise V -band photometry relative to Vega (Landolt 1992 & 1999, private comm.) sets the absolute flux scale of these four primary standards. The uncertainty in the absolute Vega flux distribution of Hayes (1985) combined with uncertainties in the normalization to the Landolt V magnitudes is 115 116 Bohlin dash-MAMAs, solid-CCD STIS Sensitivity Change in 5 years: 1997.38-2002.38 1.00 0.95 0.90 2000 3000 3.04 Wavelength (A) 4000 5000 Figure 1. Change of sensitivity for the five low dispersion modes after five years of on-orbit operations: dotted lines—MAMA modes G140L and G230L, solid lines—CCD modes G230LB, G430L, and G750L corrected for CTE losses. All of the G750L sensitivity changes are assumed to be due to CTE loss. ∼ 2% at V , while the uncertainties in C(λ) relative to 5500 Å in the V -band are discussed in Section 2. Uncertainties in the calculated model flux distributions relative to 5500 Å are quantified in Section 3; and Section 4 has examples of actual uncertainties achieved in the measured STIS flux distributions of secondary flux standards. 2. Uncertainties in Measured Count Rates The count rate C in Eq. 1–2 is for an observation with all of the instrumental signatures removed. These signatures include flat fielding, background removal, stray light, flagging of artifacts, fringing, operational changes, wavelength calibration, temperature effects, changes of sensitivity with time, and non-linear response of the detector. Because the effect of a slowly varying flat field in the dispersion direction is accounted in the sensitivity S calibration, the only benefit of a flat field calibration is the removal of the pixel-to-pixel sensitivity fluctuations, as long as the spectrum is always located at the same location on the detector. Precise background subtraction is important for the faintest stars and is complicated by geocoronal emission lines of Ly-α at 1216 Å and of OI at 1300 Å in the case of HST. For STIS spectra in the wide 52 × 2 photometric slit, stray light from the wings of the PSF fills in absorption lines. Beyond ∼ 6620 Å, fringing due to reflective interference in the CCD substrate becomes increasingly important as the sensitivity drops; and at 1 µ the fringing correction limits the repeatability to ∼ 1%, even for bright stars. In addition to the absence of atmospheric effects, observations from space generally benefit from the constancy of operational modes. In the case of STIS, the same wavelength hits close to the same pixel on the detector, year after year, so that slow temporal changes can be easily tracked. However, two STIS low dispersion modes have had major adjustments: the G140L default aperture moved from 3 arcsec above detector center to 3 arcsec below, while for the CCD modes, a new aperture at row 900 is available and reduces CTE losses by a factor of 5. Precise wavelength calibration is important in wavelength regions with steep sensitivity gradients. For the G140L mode on the FUV-MAMA there is a temperature dependence of the sensitivity STIS Flux Calibration 117 Figure 2. Ratios of the first (bottom), second (middle), and most recent third (top) to the average of all 31 observations of the bright CCD monitor star AGK+81D266 with NO correction for any change in sensitivity with time or for any CTE losses. The increasing effect of CTE losses with time are evident from the ratios > 1 in the bottom panel and < 1 in the top panel. There are small deviations from unity at the shorter wavelengths where the signal peaks at ∼ 40, 000 electrons and larger deviations as the signal drops continuously to ∼ 1000 electrons at 1 µ. The increasing magnitude of the non-linearity at lower counting levels is a signature of CTE losses. of 0.3%/C. The two most important limitations on the photometric precision of the STIS count rate corrections are: a) the observed scatter about the mean changes of the sensitivity with time and b) the uncertainty in the non-linear correction for CTE losses (see below). The change in sensitivity as a function of wavelength and time has been reported by Bohlin (1999) and by Stys, Walborn, & Sahu (2002). Figure 1 shows the wavelength dependence of the sensitivity loss after five years in orbit for the five low dispersion STIS modes. Within a mode, the changes are continuous functions of wavelength; and the two modes, G230L on the NUV-MAMA and G230LB on the CCD, show the same changes to within ∼ 0.5%. The four discontinuous jumps from one mode to the next may be the result of blaze angle shifts in the first order gratings that are caused by shrinkage of the epoxy substrate of the replica grating rulings, as suggested by Bowers (this volume, p. 127) for the echelle modes. Figure 2 illustrates the effects of Charge Transfer Efficiency (CTE) losses for the G750L mode. The monitoring observations of AGK+81D266 are divided into three epochs and compared to the average spectrum of all 31 observations of AGK+81D266 since launch. While the ratio of the middle third is near unity, the early 11 observations in the lower panel are higher than the average; and the 9 spectra obtained since 2001 July in the top Bohlin Charge Transfer Inefficiency = (1-CTE) at CCD Center 118 STIS CTI at 2000.6 B=0.5 0.100 B=2 0.010 0.001 101 102 103 104 105 106 Electrons per Column in 7-px Extraction Figure 3. CTI(G,2000.6) at 2000.6, i.e. 3.44 years after launch at the center of the CCD. The abscissa is G, the total gross electrons recorded in the default 7-px high extraction box. The dashed line is a fit to the measurements (triangles) of Kimble (2001, private comm.) at 3.17 and 3.71 years after launch and is relevant to an image with zero background from a single readout of the CCD. The measurements have been divided by small amounts, 0.92 and 1.08 at 3.17 and 3.71 years, respectively, to correct the data points to the mean time of 3.44 years, so that the scatter within the pairs of points at each of the six electron levels is indicative of the uncertainty. Heavy solid lines: The CTI for background levels of 0.5 and 2 electron/px that are typical of gain 1. Figure 4. As in Figure 2 AFTER correction for CTE losses per Equation 1 and Figure 3. Residuals exceed 0.5% only for the last 100 Å of wavelength coverage beyond 10,100 Å. STIS Flux Calibration 119 Figure 5. Ratios of Hubeny to Koester-Finley pure hydrogen models in LTE for the temperature and gravities indicated in each of the four panel titles. Differences approach 1% only in the 10 Å bin at the center of H-α and H-β for the two hottest stars. Compare with Fig. 1 of Bohlin (2000), which makes the same comparison before the TLUSTY code upgrades. panel are below unity everywhere. The assumption that the behavior observed in Figure 2 is attributed entirely to CTE losses and not to optical sensitivity degradation is justified by the trend toward unity, i.e. no loss, at long wavelengths in Figure 1 and by the trend to larger losses toward longer wavelengths in Figure 2. CTE losses increase as the G750L signal decreases toward longer wavelengths. The triangles in Figure 3 illustrate the measured CTE losses at a mean date of 2000.6, 3.4 years after launch, for a mean background level of zero (R. Kimble 2001, private comm.). The heavy solid lines are the modeled losses at sky background levels of 0.5 and 2 electrons per pixel and are a best compromise correction for the AGK+81D266 data and for some short exposure observations of LDS749B and G191B2B (Bohlin 2002). The zero background fit to the data triangles in Figure 3 is the dashed line CTI(G, t = 2000.6), while the preliminary Charge Transfer Inefficiency CT I = (1 − CT E) at time t in decimal years and rolloff for sky background B is 0.20 CT I(B, G, t) = CT I(G, t)e−2.2(B/G) 0.20 = CT I(G, 2000.6){(t − 2000.6)0.242 + 1}e−2.2(B/G) , (3) where G is the gross signal in electrons in the seven pixel extraction height and where the CTI is assumed to linearly increase from zero at the 1997.16 launch date. The CTI increases linearly with the number of CCD rows from the readout amp, while the dashed line, CTI(G,2000.6), in Figure 3 is for the center of the CCD at row 512. The constants 2.2 and 0.20 in Equation 1 produce the best fit correction to the deviations from unity in Figure 2; and the ratios for these corrected observations of AGK+81D266 are illustrated in Figure 4, where the deviations from unity are < 0.5% below 1 µ. 120 Bohlin Figure 6. As in Figure 5, except with Hubeny NLTE models in the numerator. Differences approach 2% only in the 10 Å bin at the center of H-α and H-β for the two hottest stars. Compare with Fig. 2 of Bohlin (2000), which makes the same comparison before the TLUSTY code upgrades. 3. Uncertainties in the Model Flux Distributions The model Teff and log g are determined by fitting the observed Balmer line profiles (e.g. Finley, Koester, & Basri 1997). These fits have an internal consistency that implies an uncertainty of much less than 1% in the shape of model flux distributions from 0.1 to 3 µ. Since Bohlin (2000) reported inconsistencies between LTE calculations with the same temperature and gravity for the simplest pure hydrogen case, the model atmosphere codes have been upgraded (Barstow et al. 2001). Figure 5 demonstrates agreement within one percent in the optical between the new Hubeny and old Koester models for the four primary standards, even in the 10 Å band at the Balmer line centers. Furthermore, the Hubeny NLTE model line profiles agree with the Koester/Finley profiles to 2% at line center, as shown in Figure 6. Therefore, the Hubeny NLTE models are adopted as the best estimates of the true stellar flux distributions, because the physics is more realistic and because the Balmer line profiles are in agreement with the models and observations used by Finley to derive the temperature and gravity. The model flux distributions are placed on an absolute flux scale by normalizing to the V band magnitudes measured by Landolt with a precision of a few milli-magnitudes (Bohlin 2000). In the top panel for the hottest star G191B2B, the difference in the continuum slope starts to be evident and becomes larger in the IR. In the IR, Figure 7 illustrates differences between the LTE and NLTE models of up to 4% at 3 µ for the hottest star. The NLTE model for G191B2B resolves the discrepancy (BDC 2001) between the standard star flux ratio and the measured NICMOS flux ratio for G191B2B/P330E, as shown in Figure 8. On average, the data points lie closest to the heavy solid line for the NLTE model. STIS Flux Calibration Figure 7. As in Figure 6, except that the wavelength range is 1–3 µ. There is a difference between LTE and NLTE of ∼ 4% at 3 µ for the hottest star G191B2B. Figure 8. The data points with error bars are the observed NICMOS count rate ratios for G191B2B/P330E divided by the ratio of the standard star fluxes, using the old LTE model for G191B2B. The systematic trend for the data points to lie above unity means that either the standard model for G191B2B is too faint or the IR spectrum of the solar analog P330E is too bright. The heavy solid line is the change in the predicted ratio of the stellar observations based on the new NLTE model for G191B2B. The NLTE model predicts a ratio in better agreement with the bulk of the observations. The dotted line illustrates the minor difference between the new LTE models of Hubeny and the old LTE Koester standard. 121 122 4. 4.1. Bohlin Can Relative Fluxes Be Measured with a One Percent Accuracy? Uncertainties in the Observations The STIS observational uncertainties are dominated by the repeatability of observations of the same non-variable star and by uncertainty in the correction for CTE losses in the CCD modes, as long as the counting statistical uncertainty is negligible. Repeatability: After fitting the changes in sensitivity as a function of time and wavelength, the residuals measure the lack of perfect repeatability for the 57 FUV and 59 NUV monitoring observations of GRW+70D5824 with the MAMAs and for the 31–35 observations of AGK+81D266 with the CCD. The repeatability depends on wavelength and on the bandpass bin size as summarized in Table 1. Some of the narrower bins have a comparable or better repeatability than the broad bands. Therefore, the correlation length for the fluctuations must be rather long, because the scatter does not “average out” with broader binning in wavelength. The observed narrower bandpass repeatabilities are corrected for the small effects of counting statistics and contribute to the modeled uncertainty as a linear interpolation between the measured wavelengths. Table 1. Repeatability in broad bands. MODE a Bandpass (Å) one sigma (%) G140L 350 50 0.54 0.46–.79a G230L 1000 100 0.18 0.19–.59a G230LB 1000 100 0.27 0.27–.39a G430L 2000 200 0.32 0.20–.56a G750L 2800 400 0.15 0.13–.91a A small correction has been made for the contribution from counting statistics. CTE Correction: Figure 9 shows some measured errors in the CTE correction and a fit to these points as a function of the number of electrons in the 7 pixel high standard extraction. This uncertainty affects the three low dispersion modes that utilize the CCD detector. 4.2. Uncertainties in the Model Flux Distributions The formal uncertainty of ∼ 1000 K in the Teff determined from the Balmer line fits implies an uncertainty in the model fluxes relative to the V band of much less than 1%. In practice after normalizing the four models to their V magnitudes, there is as much as 1% scatter in the relative measured vs. model fluxes at 2000 Å and below. The agreement of the flux distributions from the two independent LTE codes is excellent below 1 µ, as illustrated in Figure 5. In the continuum, there are differences of 1% at the convergence of the Brackett lines around 1.6 µ for GD71 and at 3 µ for G191B2B, as shown in Figure 10. The NICMOS observations of G191B2B vs. P330E in Figure 8 support an uncertainty of ∼ 1% for the STIS Flux Calibration Figure 9. Measured errors in the CTE correction for various cases (triangles with error bars). The solid line is a fit to these data points and is used to model uncertainties in observed CCD spectrophotometry as a function of signal strength in electrons for point sources. Figure 10. As in Figure 5 for the 1–3 µ region. The big dips at the locations of the B-β, B-δ, and B-γ are caused by the omission of these features in the old Koester models. In the continuum, differences between these LTE calculations approach ∼ 1% around 1.6 µ for GD71 and at 3 µ for G191B2B. 123 124 Bohlin Figure 11. One percent of the stellar flux for HS2027+0651 (squiggly line), the total uncertainty relative to V (heavy smooth solid lines), and the three main components of the total uncertainty (light lines): repeatability (solid), model flux distribution (dotted), and the CTE correction (dashed). The total uncertainty for these data obtained about a year after launch exceeds 1% of the flux beyond 9300 Å, mainly because of poor repeatability combined with some CTE uncertainty. adopted NLTE models beyond 1.5 µ. In summary, the model for the uncertainty in the STIS sensitivity and in measured secondary flux standards due to possible errors in the adopted flux distributions of the four prime standards is 1% below 2000 Å, decreasing linearly to zero in the normalization region at 5500 Å, and increasing to 1% at 1.5 µ and beyond. 4.3. Achieved Uncertainties for Secondary Standards Figures 11–13 are examples of measured flux distributions and their uncertainties. The 2% grey uncertainty from the absolute flux uncertainty of Vega at V is not included; and a wavelength bin size sufficient to make the counting statistical error 1% (i.e. 10, 000 counts) is assumed. One percent of the measured flux is plotted and compared to the component and total uncertainties. For the faint standard HS2027+0651 in Figure 11, the observations were obtained early in the mission, so that the CTE error (dashed line) is minimal and the total uncertainty (heavy solid line) exceeds 1% of the flux only beyond 9300 Å. Figure 12 is for another faint standard LDS749B obtained about five years postlaunch, where the larger uncertainty in the CTE correction causes > 1% uncertainty at the short wavelength end of G430L at 3000–3300 Å and at the long wavelength end of G750L beyond 8600 Å. Because the repeatability error (thin solid line) is assumed to scale as the square root of the number of co-added observations, the repeatability error for the single G230L observation of LDS749B at 1900 Å is twice as large in % as for the co-addition of four spectra of HS2027+0651. In Figure 13, the recent single STIS observation of the bright Sloan standard BD+17D4708 with the three CCD modes has an uncertainty of < 1%, except at wavelengths below 2100 Å, where this F star is faint. STIS Flux Calibration Figure 12. As in Figure 11 for LDS749B observed after five years of on-orbit radiation damage to the CCD. Uncertainty in the current preliminary CTE correction limits the precision in two regions of low sensitivity: 3000–3300 Å on G430L and beyond 8600 Å for G750L. Figure 13. As in Figure 11 for the Sloan standard BD+17D4708. Only at the faint short wavelengths of G230LB do uncertainties of this bright (in the visible) secondary standard exceed one sigma = ∼ 1%. Only one recent observation has been utilized. 125 126 Bohlin Can fluxes relative to V over the 0.1 to 3 µ region be determined to 1%? If the Balmer line profile analyses give the correct stellar temperature and gravities and the model atmosphere calculations correctly represent the physics, then the answer is yes, in some cases. The best flux distributions are measured for bright stars or early in the mission to avoid the uncertainties in correcting for CTE losses in the CCD detectors. (See the collection of HST standards at http://www.stsci.edu/instruments/observatory/cdbs/calspec.html.) At the longer wavelengths, the CCD fringing conspires with low sensitivity and large CTE losses to produce larger uncertainties. In summary, uncertainties as small as 1% can be achieved at some wavelengths, at some times, and for some ranges of stellar brightness. Don’t forget that sigma here is only ONE sigma, not THREE and that the uncertainty in a comparison of two objects is the combination in quadrature of the sigmas of the separately measured fluxes. References Barstow, M. A., Holberg, J. B., Hubeny, I., Good, S. A., Levan, A. J., & Meru, F. 2001, MNRAS, 328, 211 Bohlin, R. 1999, Instrument Science Report STIS 99-07 (Baltimore: STScI) Bohlin, R. C. 2000, AJ, 120, 437 Bohlin, R. 2002, Instrument Science Report STIS 02-xx (Baltimore: STScI) in preparation Bohlin, R. C., Dickinson, M. E., and Calzetti, D. 2001, AJ, 122, 2118 (BDC) Finley, D. S., Koester, D., & Basri, G. 1997, ApJ, 488, 375 Hayes, D. S. 1985, in Calibration of Fundamental Stellar Quantities, Proc. of IAU Symposium No. 111, ed. D. S. Hayes. L. E. Pasinetti, A. G. Davis Philip, (Reidel, Dordrecht), p. 225 Landolt, A. U. 1992, AJ, 104, 340 Stys, D., Walborn, N., & Sahu, K. 2002, Instrument Science Report STIS 2002-002 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. STIS Echelle Blaze Shift Correction1 C. Bowers and D. Lindler2 Laboratory for Astronomy and Solar Physics, Code 681, NASA’s Goddard Space Flight Center, Greenbelt, MD, 20771 Abstract. Planned offsets of the STIS Mode Select Mechanism (MSM) result in changes to the nominal calibration curves, particularly noticeable in the echelle modes. The spectral wave calibration exposures (wavecals) obtained with each observation can be used to predict a simple, linear offset of the nominal calibration curve to be used for each MSM shift. In addition, a time dependent variation has been detected which is attributed to small changes in the grating itself. An algorithm has been developed which applies the offsets necessary to correct both the time dependent and MSM shift effects for the echelle modes. 1. Introduction Ultraviolet spectra acquired with the Space Telescope Imaging Spectrograph (STIS) have been periodically shifted in position at the UV MAMA detectors by a small amount to more uniformly age the UV MAMA detectors. This was done by moving the Mode Select Mechanism (MSM) slightly from its nominal orientation for each mode. However, it was observed that these motions caused small errors in the echelle calibration, particularly noticeable in the overlap between orders. Re-calibration for each offset position was possible but time consuming and inefficient. We thought it might instead be possible to correct for this calibration error by using the wavelength calibration spectra acquired with each observation, to indicate the offset, and shift the initially acquired calibration curve accordingly. 2. Magnitude and Cause of The Blaze Shift Effect Figure 1 shows a portion of an echelle stellar spectrum acquired in STIS E230H mode following an MSM shift from the nominal setting. About six adjacent orders of the spectrum near 2575 Å are presented in the figure. The calibration error introduced is approximately linear over each order, causing the slanted appearance. The resulting flux mis-match is about 10% at the overlap regions where the same spectral bandpass is measured simultaneously in adjacent orders. The calibration error is due to the change in the direction of light incident on the echelle gratings when the MSM orientation is changed. Changing the light incident angle at the echelle, causes two changes in the detected spectrum: the spectrum itself shifts position at the detector, and the grating blaze, or grating efficiency curve, shifts. However these two shifts are by different amounts. This relative shift between the echelle spectrum and the grating blaze function is illustrated in Figure 2. In the upper panel, a spectrum consisting 1 2 Based upon observations with the NASA/ESA Hubble Space Telescope, obtained at the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract, NAS 5-26555. Sigma Space Corporation 127 128 Bowers & Lindler Figure 1. The spectrum of a star near 2575A with the E230H echelle, following a change of the MSM orientation. Six spectral orders are shown. A systematic calibration error, approximately linear with wavelength over each order has been introduced by the MSM change. of several orders (m, m+1, m+2) is illustrated with two distinct emission lines (small slit symbols) shown. The grating blaze function is illustrated by the gray, trapezoidal region. Peak grating efficiency is indicated by the bright, central region and the free spectral range by the two diagonal, dashed lines. The lower panel illustrates the changes in this pattern following a change of direction of light incident onto the echelle. The spectrum shifts (indicated by the spectrum offset) and the blaze function shifts (indicated by the blaze function offset), however the magnitude and direction of these two shifts are not equal. The overall result is that the relative position of spectral lines with respect to the blaze efficiency curve has changed. Calibration using a blaze function which does not account for this relative shift between the spectrum and blaze function will result in the error observed. 3. Correcting for Echelle Blaze Shift The blaze function angular shift (dβblz) due to a change in the direction of incident light on the echelle(dαgrt) in the dispersion direction is dβblz = −dαgrt (1) From the wavecal observations, we can determine the change of the exit angles of light from the echelle gratings in both the dispersion dβgrt and cross dispersion directions dφgrt. Using the general grating equations (Namioka, 1959), these can be related to the change of dispersion direction input angle dαgrt as sin αgrt + sin βgrt = mλ σ cos φgrt φgrt = −φgrt dαgrt = − cos βgrt sin αgrt + sin βgrt dβgrt + ( ) tan φgrtdφ = −dβblz cos αgrt cos αgrt (2) (3) (4) The change of blaze angle is then in general a function of the exit angles in both the dispersion (dβgrt) and cross dispersion (dφgrt) directions for out-of-plane grating mounts, STIS Echelle Blaze Shift Correction Figure 2. The changes at the detector in spectrum location and grating blaze function due to a change of incident angle on an echelle grating are illustrated. The top panel shows several spectral orders and the position of a few spectral features by the small slit symbols. The grating efficiency curve (blaze) is the gray, trapezoidal region, centered on the detector. After an MSM change, the spectrum and blaze are seen to shift by different amounts, causing the relative efficiency of spectral features to change. 129 130 Bowers & Lindler Figure 3. The blaze position as a function of dispersion direction (X) spectral offset for a set of stellar observations in mode E230H. The blaze shifts about 60 pixels due to occasional variation of the MSM orientation. The results of estimating the blaze position using only dispersion (single parameter model) or both dispersion and cross dispersion data (two parameter model) are shown. i.e., those for which φ = 0. For the STIS echelles the out-of-plane angle is small but not negligible particularly for motion near the cross dispersion direction. We thus tried to fit the blaze shift (∆Xblz) with a two parameter function, linear in the dispersion (∆Xsp ) and cross dispersion (∆Ysp ) directions: ∆Xblz = A1 ∆Xsp + A2 ∆Ysp (5) A series of observations of mode E230H were selected for an initial test of correlating observed blaze function shift with spectrum shift as determined from the accompanying wavecal spectra. The spectra selected were all stellar with good S/N and few features and were acquired over a period spanning about 1500 days. Relative spectral shifts in dispersion (X) and cross dispersion (Y ) directions were determined for each selected spectrum from the wavecal spectra. Blaze shifts were determined by shifting the echelle ripple pattern (this is the pattern shown in Figure 1) until the overlap regions were coincident. Figure 3 shows the relative blaze position as a function of the spectrum offset in the dispersion (X) direction as the filled circles. The blaze function was seen to shift by about sixty pixels throughout this series of observations. The correlation between blaze and spectral shifts is evident; the dashed line (single parameter model) shows the best, linear fit between these quantities. The separation between the dashed line and the data points indicates the error which would still remain if only this single parameter model were used. The greatest error occurs at the point with the unusually low blaze position of pixel 380, with a residual error of about 20 pixels. Fitting the blaze position as a linear function of the spectral shift in both dispersion (X) and cross dispersion (Y ) yields the results shown in Figure 3 by the unfilled diamond symbols. The improvement compared to the single parameter fit is evident. The distribution of errors is still somewhat large, with a standard deviation of 7.5 pixels. Examining the details of the remaining errors shows that the largest discrepancies occurred for spectra acquired at substantially different times. Figure 4 shows the difference STIS Echelle Blaze Shift Correction 131 Figure 4. The difference between measured and expected blaze position using the two parameter model (Figure 3) as a function of observation time. The remaining fitting error is clearly correlated with observing time approximately linearly. between the measured blaze position and the two parameter model fit as a function of relative observation time. A correlation which is approximately linear is evident; the measured blaze appears to have shifted about 25 pixels (out of a total in the data of sixty) over the 1500-day period from which these observations were drawn. Including a linear time dependence for the blaze as a third parameter produces the fit shown in Figure 5 (the three parameter model). The improvement compared to the two parameter fit is clear with the standard deviation between measured and fit blaze positions reduced to four pixels. Using such a fit, the blaze position can be well estimated from the spectral shift (both X and Y ) and the time of observation. But what is changing with time? We will return to this question in Section 5. 4. Implementation of the Correction Algorithm To provide the most accurate data for blaze shift correction, all non-proprietary echelle observations of sources with a continuum over the period from launch to December, 2001 were selected. The spectral shifts, in both dispersion and cross dispersion directions, were determined from the accompanying wavecal images. The blaze shift of each spectrum was determined by shifting the echelle ripple pattern until the overlap regions are coincident. Finally a three parameter, linear fit of blaze position as a function of spectral location (X Table 1. STIS Echelle Mode Blaze Shift Model Parameters Mode E140M E140H E230M E230H A1 −0.30 −0.66 0.10 1.49 A2 0.01 −0.11 −0.15 −0.31 A3 0.008 −0.021 −0.002 −0.017 132 Bowers & Lindler Figure 5. The blaze function measured (filled circles) and fit (open diamonds) using a model linear in dispersion (X), cross dispersion (Y ) and time. Comparison with Figure 3 shows the significant improvement achieved by including observation time in the model. and Y ) and time was produced for each echelle mode. The fit coefficients are presented in Table 1. To apply to a spectrum, the wave calibration image is used to determine the X and Y spectral shifts and the observation date provides the time value. The sensitivity curve is shifted accordingly and then applied to the data. This algorithm was implemented in the STIS pipeline reduction package, calstis, version 2.13b. Figure 6 shows the result of applying this model to the data set of Figure 1 for Mode E230H. The overlap agreement is good to about 1.5%. Similar results are obtained with spectra in all echelle modes. We conclude that this method, if the time dependent term is included, can produce spectra well corrected for the MSM offsets and time variations observed so far. The MSM offset procedure for the echelle modes was ended August 5, 2002, so corrections for this effect can be applied to all STIS echelle data accumulated to date. The current incorporation of this algorithm will continue however, to apply a time dependent correction, with the same slope as determined here, to all future observations. 5. Time Dependent Variation of Blaze A variation with time of the alignment of any optical components following the STIS entrance slit or the detector, could cause an apparent shift of the blaze function. But such an instability would also cause a time dependent change in the location of the wavecal spectra. We used a selected set of wavecal spectra to assess the temporal stability within STIS. From a series of echelle observations in Mode E140H acquired over a period of about 1450 days (approximately contemporaneous with the E230H presented in Section 3) we extracted those for which the MSM position repeated, that is the MSM was set to the nominal position for the mode. The spectral locations, as determined by the wavecal spectra, in dispersion (X) and cross dispersion (Y ) are illustrated in Figure 7. Over this four year period, the position of the spectrum varied by no more than ±2 pixels in both directions, showing a very high level of internal stability within STIS for the entire optical system following the STIS Echelle Blaze Shift Correction 133 Figure 6. The same spectrum as Figure 1, now corrected using the wavecal spectrum and results from the blaze shift algorithm for Mode E230H. entrance slit. There may be a very small level of real drift amounting ≤ 4 pixels over the four year period in the dispersion and cross dispersion directions but this is negligible when compared with the blaze drift in this same measurement set illustrated in Figure 8. This plot shows the relative measured blaze position over the four year observation period for this same set of data which are nominally at the identical alignment. The blaze position has shifted by over thirty pixels in this time. The apparent shift of the blaze efficiency function with time could be caused by a change of sensitivity across the detectors, approximately linear in the high dispersion direction. Such a change would not be wavelength dependent but position dependent; it would vary similarly in each order (see Figure 1). Note however, from the results of Table 1, that this time dependent sensitivity change would have to occur in both MAMA detectors since we see shifts in both detectors. Such a change with time would also show up in all other modes which utilize the MAMA detectors, including mode G230L for example. Any changes in sensitivity in such a first order mode could be due to either a variation with wavelength, the usual interpretation, or position on the detector. The dispersion direction for G230L is the same as the high dispersion direction for echelle mode E230H. Repeated sensitivity calibrations of mode G230L with wavelength are presented in Figure 9 of Instrument Science Report STIS 99-07 over the time period 1997.38–2000.38. The variation with wavelength is not linear and is no more than +2% to −1% at any wavelength over this time period. This data suggests that this detector is highly stable both positionally and with wavelength. From these results we would expect to see echelle spectra taken over this period to have order overlap errors no larger than these limits, provided the MSM was in the same position. Figure 9 shows five orders from E230H of a calibration white dwarf taken at 1998.4 (upper curve) and 2001.9 (lower curve). The slit and MSM position was identical for both observations and the spectral locations were within 3.6 pixels (cross dispersion) and 0.5 pixels (dispersion direction). Both spectra have been approximately normalized and the earlier spectrum has been offset for clarity. The calibration and order overlap is very good for the initial spectrum but 3.5 years later the systematic calibration error is about 8%, not consistent with the measured sensitivity stability. The blaze shift effect does not seem to be due to any change in detector sensitivity. For the shorter wavelength detector, similar stability tests with Mode E140L (Figure 8, Bohlin) do show some variability with time. The variation with wavelength is not monotonic; interpreting this as a possible positional sensitivity error would require more detailed modeling to understand the effect on the echelle blaze curve. However the variation shown is likely to be due to low level contamination and thus be a true wavelength dependent 134 Bowers & Lindler Figure 7. The relative positions of spectra obtained with the E140H echelle over a four year period, with the MSM positioned to the same orientation. The internal temporal stability of this STIS mode is very high; any possible drift is no greater than 4 pixels over this period. Figure 8. The temporal stability of the blaze function, from the same data set of repeated MSM orientations used in Figure 6. Over this four year period, the blaze function has shifted about 30 pixels while the spectrum shifted no more than 4 pixels in the dispersion direction. STIS Echelle Blaze Shift Correction 135 1.4 Normalized Flux 1.2 1.0 0.8 0.6 2320 2330 2340 Wavelength 2350 2360 Figure 9. A portion of normalized, E230H spectra of a white dwarf calibration star from 1998.4 (upper, offset for clarity) and 2001.9 (lower) taken with the same slit and same nominal MSM positions. The initial, consistent calibration is in error by about 8% after 3.5 years, though the detector sensitivity has varied by no more than 2%. effect and not a positional sensitivity variation at all. The mirror coatings for STIS modes in this wavelength range were tailored to have the least sensitivity to contaminants near 1216 Å and should be most sensitive near 1600Å. Mode G140L has decreased least near 1300 Å and most near 1600 Å similar to expectations. Without other possibilities, it appears that the echelle blaze itself must be changing in time, that is the grating groove angle is slowly changing. The rate of blaze shift for each mode is listed in Table 2; it is very small, measured in either pixels or in tilt of the grating grooves (arcseconds/year). The indicated rate of change of Mode E230M is within the measurement errors, but the rates for the other three modes appear real. Without the high degree of stability of HST and STIS such small changes would be difficult to detect. All four echelles are replicated from master rulings. One possible mechanism for blaze change is very slight shrinkage with time of the epoxy used in replication, though we note that the measured rates of change are not well correlated with groove depth as might be expected in a simple model. Table 2. STIS Echelle Mode Blaze Shift Rate Mode E140M E140H E230M E230H Blz shift [pixels/yr] 2.9 7.7 0.7 6.2 Blaze tilt change [/yr] 5.9 15.4 1.5 12.5 136 6. Bowers & Lindler Summary and Recommendations The calibration error introduced by shifting the MSM from its nominal orientation can be well corrected by using the original sensitivity curve for each echelle mode, shifted according to the spectral shifts determined from the associated wavecal spectra and using a linear, time dependent term. Linear fits to data collected over a 4-year period provide the necessary coefficients for the algorithm, presently incorporated in the pipeline reduction procedure, calstis. Shifting the MSM for the echelle modes has been halted as unnecessary so that application of the shift terms is now incorporated only for archival data. However the time dependent term will be continue to be applied for future reductions. As such, the time dependence of the blaze function should continue to be monitored for any changes from the simple, linear dependence used in the current model. The cause of this time dependent term appears to be a change in the gratings themselves. Acknowledgments. We would like to thank Jeff Valenti and the Space Telescope Science Institute STIS Team for their help and support of this work some of which was performed under purchase order 40095. We would also like to thank Ted Gull for several useful discussions about this work. References Bohlin, R. 1999, Instrument Science Report STIS 99-07 (Baltimore: STScI) http://www.stsci.edu/hst/stis/documents/isrs Namioka, T. 1959, JOSA, 49, 446 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Coronagraphic Imaging with HST and STIS1,2 C. A. Grady NOAO, Eureka Scientific and GSFC, Code 681, NASA’s GSFC, Greenbelt, MD 20771; cgrady@echelle.gsfc.nasa.gov C. Proffitt Space Telescope Science Institute, 3700 San Martin Dr., Baltimore, MD 21218 E. Malumuth Science Systems and Applications, Inc., Lanham, MD 20706 B. E. Woodgate, T. R. Gull, C. W. Bowers, S. R. Heap, and R. A. Kimble Code 681, Laboratory for Astronomy & Solar Physics, NASA’s GSFC, Greenbelt, MD 20771; members of the Space Telescope Imaging Spectrograph Investigation Definition Team D. Lindler Sigma Research and Engineering, Lanham, MD 20706 P. Plait Department of Physics and Astronomy, Sonoma State University, Rohnert Park, CA 94928 Abstract. Revealing faint circumstellar nebulosity and faint stellar or substellar companions to bright stars typically requires use of techniques for rejecting the direct, scattered, and diffracted light of the star. One such technique is Lyot coronagraphy. We summarize the performance of the white-light coronagraphic capability of the Space Telescope Imaging Spectrograph, on board the Hubble Space Telescope. 1. Introduction As part of its optical imaging capabilities, the Space Telescope Imaging Spectrograph (STIS) is equipped with an opaque focal plane mask to occult the star, a sub-aperture, circular, pupil plane mask, and an unfiltered CCD providing a simple white-light coronagraph (Woodgate et al. 1998; Kimble et al. 1998). Fig. 1 shows a simplified version of the STIS optical path for coronagraphic observations (after Heap, et al. 2000). The bandpass of the coronagraph is CCD-limited to 0.2–1.0 µm with λeff ≈ 5875 Å. Since 1997, the STIS coronagraph has been used to image reflection nebulosity, protoplanetary disks, emission line 1 2 Based on observations made with the NASA/ESA Hubble Space Telescope, obtained at the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Inc., under NASA Contract NAS5-26555. Data included in this study come in part from the STIS IDT protoplanetary disk key project. 137 138 Grady et al. Figure 1. Simplified depiction of the optical path for STIS coronagraphic imagery, after Heap (2000). nebulae including Herbig-Haro objects, and candidate stellar companions associated with stars spanning 0.34 ≤ V ≤ 15 (Heap et al. 2000; Grady et al. 1999, 2000, 2001a,b, 2002; Schneider 2001; Mouillet et al. 2001; Danks et al. 2001). In this paper we summarize the operation, calibration, and performance of the STIS coronagraph. 2. Coronagraphic Observations Coronagraphic observations with STIS are carried out with the star placed under one of two orthogonal wedges, or under a 3.0 × 10 bar. While the wedges vary smoothly in diameter from 0.5”-3.0” over their 50” length, a limited set of coronagraphic “apertures” has been defined to simplify planning for coronagraphic observations. These apertures are at locations where the wedges are 1.0, 1.8, 2.0, 2.5, and 2.8 wide (fig 2). The vertical wedge (wedge A) is oriented along the STIS CCD axis 2, the same direction as the long slits for spectroscopic observations, and parallel to the CCD charge transfer direction. This ensures that charge saturation from the stellar point spread function (PSF) at the edge of the wedge does not contaminate the bulk of the coronagraphic image. The majority of STIS coronagraphic observations have been made with this wedge. 3. Coronagraphic Data Reduction Coronagraphic observations made with STIS typically consist of a suite of short exposures which are grouped using the CR-SPLIT optional parameter in order to avoid saturation in the vicinity of the coronagraphic wedge. This grouping facilitates cosmic-ray rejection by median filtering the images in each observation data-cube prior to coaddition. The standard CCD image reduction then follows with overscan bias subtraction, conversion to count rates, flat-fielding, dark image subtraction, bad pixel flagging and hot pixel repair. This reduction is carried out both for science target and calibration star observations, with data obtained at different spacecraft orientations reduced separately. To ensure the largest achievable dynamic range in coronagraphic data, the observations are typically obtained with GAIN = 4, which introduces a low-level video noise with a characteristic scale of 10–30 pixels (0.5–1.5) and amplitude 0.5–1 DN. The pattern is more conspicuous in observations made since mid-2001, using the STIS side 2 electronics (Brown 2001). At this point in time, no attempt has been made to Fourier filter the coronagraphic observations, since the available algorithms are designed for full CCD observations and can introduce ringing into the images if there are high contrast, sharp structures (e.g., the wedges) in the images. Coronagraphic Imaging with HST and STIS 139 A2.8 Bar10 A2.5 A2.0 A1.8 B1.0 B1.8 B2.0 B2.5 B2.8 A1.0 Figure 2. The STIS coronagraphic wedge structure with the “aperture” locations defined by the STScI indicated with the stellar diffraction spikes. 4. Comparison of Coronagraphic and Direct Imaging Data The goal of coronagraphic observations is to detect faint emission near a bright star. STIS direct light images taken under these conditions are saturated near the location of the star, and along the charge transfer direction, and suffer from the presence of multiple, bright, window ghosts (Fig. 3). Use of the coronagraphic wedge enables longer exposures without saturation, and prevents formation of conspicuous window ghosts. As noted by Heap et al. (2000), the STIS Lyot stop is a circular aperture passing the central 77% of the beam area, without apodization of the diffraction spikes. All STIS images are taken with the Lyot stop in the optical path, and have PSF wings which are reduced by a factor of ≈ 2 compared to models for the optical telescope assembly. Occulting the star with the coronagraphic wedge reduces the brightness of the PSF by an additional factor of 3–5 near the star and up to an order of magnitude at distances r ≥ 10 , but only slightly depresses the diffraction spikes, principally by reducing scattering of longer wavelength photons within the STIS CCD. The change in the prominence of the diffraction spikes relative to the azimuthally symmetric part of the PSF is not the only change between direct-light and coronagraphic imagery with STIS. Other bright features in the STIS PSF such as the “stool legs” flanking wedge A and the “tuft” seen above wedge B in coronagraphic data obtained with that occulting bar (see Heap et al. 2000), are present in both data, but are more conspicuous in coronagraphic data. The coronagraphic PSF is sufficiently different from the direct-light PSF that direct light data cannot be used in the reduction of STIS coronagraphic data. Fig. 5 shows the contrast as a function of distance from the star for direct light and coronagraphic observations. Far from the star, the suppression of the PSF is similar for observations where the star is placed under the coronagraphic wedge, or off the active detector area (Fig. 6). 5. Color Dependence The bandpass of the STIS coronagraph is the bandwidth of the unfiltered CCD, and spans 0.2–1.0 µm. The HST PSF is known to vary across this bandwidth, and thus it is no surprise that STIS has prominent color effects in the coronagraphic PSF. In Fig. 4 we show the PSF wings for a suite of 4.74 ≤ V ≤ 7.92 single stars spanning 0.06 ≤ (B − V ) ≤ 1.65. The width of the observed PSF increases with increasing (B − V ), and is accompanied by a progressive deepening of a dark ring at 1.5. Subtracting a scaled PSF which differs from a 140 Grady et al. IDL -2.16567 2.83433 Log scale Figure 3. Comparison of direct light and coronagraphic imagery of the V = 8.2 Herbig Ae star HD 95881. upper) The direct light image is dominated by saturation and bleeding, and window ghosts. lower) the coronagraphic image has reduced PSF wings compared to the diffraction spikes and the high power “stool legs” flanking wedge A. science target by ∆(B − V ) ≥ 0.08 results in the appearance of a series of rings, resembling the diffraction rings seen in narrower-band WFPC2 or ACS imagery. Whether the ring pattern is seen as a positive or negative pattern depends upon whether the science target is bluer or redder than the PSF star. The pattern is similar along the diffraction spikes, and can be used to select comparison stars for a science target whose color is not known a priori. 6. Shape Dependence Upon Aperture Location While the higher power features in STIS coronagraphic images do show some field dependence, the shape of the wings of the PSF is less dependent upon the aperture used for the observations. Comparison of PSF star observations at different wedge locations (Fig. 5) indicates that the suppression of the wings of the PSF induced by occulting the star does not depend strongly upon the wedge location, with wider wedges suppressing the inner portions of the PSF, and leaving the outer PSF wings largely unaffected. The primary advantage of using the coronagraphic wedge is to reduce the dynamic range of the image, or equivalently to go deeper by exposing longer before the CCD saturates. At wedge A1.0, exposures can extend a factor of ≈ 400 longer than for direct light images before reaching the CCD fullwell. The ability to integrate longer without saturation means that fewer detector readouts are needed to build up the desired signal to noise far from the star, and hence that the read noise + sky background in the final image is lower. Coronagraphic Imaging with HST and STIS Figure 4. Dependence of the shape of the PSF wings on the stellar (B − V ) from (B − V ) = 0.06 (black) through (B − V ) = 1.65 (red). Figure 5. Comparison of the PSF radial profile for HR 4413 (V = 5.2) for direct light images (black), at wedge A1.0 (blue), and at wedge A1.8 (orange). 141 142 Grady et al. Figure 6. Suppression of the PSF wings is similar for coronagraphic images and observations where the star is placed off the active detector area. Here data are shown for 2 Eri in direct imaging mode (black), at wedge A2.0 (blue), 5 off the detector (green), and the contrast achieved following PSF subtraction for the offthe-detector observations. IDL -2.31903 2.68097 Log scale Figure 7. PSF subtraction residuals for 2 successive observations of the V = 5.2 star HR 4413. The image shown here is 10 on a side. Within 2 of the star, the radial “tendrils” dominate. Coronagraphic Imaging with HST and STIS 143 Figure 8. Variation in PSF subtraction residuals during a single 3-orbit visit to V = 5.2 HD 141653 relative to one of the observations from the 3rd orbit. Residuals were computed in 1 arcsec2 boxes to the left and right of wedge A. Orbit breaks are indicated in red. STIS shows a clear orbital phase dependence which is quite different from the response of NICMOS. 7. Stability In addition to color matching of the PSF star to the science object, successful removal of the PSF from coronagraphic observations hinges upon the extent to which the science object and the PSF star were placed at the same position behind the coronagraphic wedge, and the extent to which the HST and STIS are in the same alignment and focus condition in both observations. Compared to ground-based observations, the HST point spread function is remarkably stable, with the principal changes involving redistribution of light due to thermally-driven changes in the primary-secondary mirror separation (see discussion in Pavlovsky et al. 2001). When there is no color difference or difference in stellar placement under the wedge, net images (star-PSF star) are dominated by 1–2 long radial features due to differences in the dispersed speckles, which Schneider has termed “tendrils” (Fig. 7). These features provide a structured, high contrast zone within 2 of the star, and are minimized for short (e.g., bright occulted source) observations taken within a few minutes of each other, but show systematic increases in amplitude with orbital phase (Fig. 8). 8. Limiting Performance For exo-planet searches and detection of faint nebulosity, one parameter of interest is the contrast achieved after removal of the PSF via subtraction of a comparison star. In the absence of color differences between the science target and the calibration star, at 2 from the star we have achieved contrasts of 10−6 arcsec−2 relative to the total stellar flux. The equivalent contrast for a point source, measured over the 0.1 ×0.1 HST resolution element is 10−8 . This is achieved for back-to-back observations of the same V = 5.2 calibration star, with no change in telescope pointing between observations, other than the FGS jitter. The same measurement for data obtained on successive orbits with independent target acquisitions for each orbit (separate visits) is approximately a factor of 2 worse, reflecting changes in the placement of the star under the wedge. This performance is comparable 144 Grady et al. Figure 9. Star-to-Nebulosity contrast for the STIS coronagraph at V = 5.2. The narrow dot-dash line is the direct imaging radial profile, the narrow solid line is the raw coronagraphic radial profile. The profile following PSF subtraction for optimally positioned stars with no color mismatch and contemporaneous data is shown in bold. The limiting contrast when the observations are made as separate visits separated by months is shown in aqua. Contemporary, separate visits have radial profiles which are intermediate. Figure 10. Radial surface brightness profiles for the Herbig Ae stars coronagraphically imaged by STIS. Dashed = direct imaging profile, black = raw coronagraphic profile, blue = AB Aur (nebulosity at r ≥ 3 visible in WFPC/2 direct imagery), aqua = HD 100546, orange = HD 163296. The debris disks β Pictoris and HR 4796A are close to the raw coronagraphic data profile in surface brightness, while HD 141569 A is intermediate between AB Aur and HD 163296. The dot-dashed profile is the limiting radial profile for the V = 7–8 Herbig Ae star non-detections. The fainter T Tauri disks that have been similarly observed have radial surface brightness closer to 10−3 arcsec−2 relative to their stars. Coronagraphic Imaging with HST and STIS 145 to that seen when the spacecraft is rolled in the middle of an orbit (Fig. 9). This latter finding differs significantly from the NICMOS experience, and reflects the fact that STIS is located on the sunny side of the HST spacecraft, in a less thermally benign environment than NICMOS or ACS. In all cases far from the star the contrast relative to the star is limited by the combined effects of the sky background, detector dark counts, and more importantly, the aggregate effects of the detector read noise. Further exploration of the suitability of Fourier filtering techniques developed for studies of galaxies is needed. 9. Application to PMS Stars To date, the principal application of the STIS coronagraphic capability has been to detect nebulosity associated with nearby, young stars. Objects that have been successfully coronagraphically imaged by STIS span 15 ≤ V ≤ 0.34, and have circumstellar nebulosity, LCS , which has LCS /L∗ = 10−3 to 10−5 arcsec−2 2 from the star (Fig. 10). These include stars with nebulosity detectable in direct imaging with WFPC2 (e.g., TW Hya, Krist et al. 2000; AB Aur, Grady et al. 1999), as well as nebulosity detectable in the coronagraphic data only following PSF subtraction. This latter case includes some intrinsically faint disks (e.g., HD 163296 Grady et al. 2000) as well as objects with disks with steep radial surface brightness profiles, e.g., following r −3 . Comparatively small (r ≤ 2 ) disks, even when bright, present a more challenging case in that their angular extent is small compared to the STIS wedge, located in a region subject to the breathing “tendrils.” 10. The STIS Coronagraph in an Era of Multiple HST Coronagraphs HST now has 3 working coronagraphs. Compared to NICMOS, STIS offers a larger field of view, which can be important in determining where the nebulosity ends (e.g., the HD 100546 envelope, Grady et al. 2001), higher spatial resolution due to imaging at shorter wavelengths, and comparable sensitivity limits. For detection of comparatively bright, point-source companions to occulted stars, NICMOS’s ability to roll in mid-orbit offers a more time-efficient observing strategy. NICMOS coronagraphic imagery can be combined with filters to provide some albedo and chemistry information. Both ACS and STIS are optical coronagraphs. ACS offers better sampling of the image, with pixels that are a factor of 4 smaller in area than the STIS CCD pixels, and the use of filters. The sensitivity of ACS is within a factor of 2 of STIS’s performance for extended objects (Pavlovsky et al. 2002). ACS will be the preferred coronagraph for large-scale (r ≥ 1 ) and brighter nebulosity where the more limited throughput in each filter is compensated for by the ability to carry out albedo studies. The limiting contrast for faint nebulosity will depend, for ACS observations, upon the impact of the re-imaged direct light on the data, and has yet to be determined. For smaller disks, such as even the larger ones around classical T Tauri stars, the large ACS spot size will occult much of the disk and also has the potential to impair recognition of the presence of an optically visible disk. Given the small advantage ACS has in apodization, STIS may still be the preferred instrument for initial surveys for disks and more extended nebulosity as a result of both the broad bandpass and equal sensitivity to reflection nebulosity and emission-line nebulae in one observation. STIS provides access to narrower occulter locations than ACS and may be the preferred instrument for optical imaging of smaller circumstellar disks. 146 11. Grady et al. Recommendations for STIS Coronagraphic Observations • The location on wedge A used for observations of HR 4796A and HD 141569A, where the wedge has a diameter of 0.6, should be defined as a formal aperture, to facilitate observation planning, and to minimize confusion in the archive with data taken at wedge A1.0 (the current location such observations are filed under). To optimize observations at this location, given the breathing “tendrils,” observers will need to have dedicated PSF observations, so there will be no cost to the STScI, other than maintaining the aperture location calibration. • For optimal reduction of STIS coronagraphic data, where PSF star observations are used, the PSF data should be as close a color match to the program star as feasible (and certainly with ∆(B − V ) ≤ 0.08), and obtained on adjacent orbits. • For STIS coronagraphic observations where the PSF of the star itself will be used in the data reduction, experience with 2 Eri suggests that multiple spacecraft orientations, with n ≥ 4, and preferably closer to 9–11 are needed to ensure a median PSF image which is free of contamination by background galaxies. Fewer observations are needed in the presence of bright nebulosity (see Heap et al. 2000 for β Pic). • The practice for coronagraphic observations of bright objects has been to read out only part of the detector, to minimize detector read overheads during the orbit. Longer observations, such as are appropriate for 10 ≤ V ≤ 15 T Tauri stars do not benefit appreciably from this strategy. For such observations, we recommend reading the full detector, both to give a better view of the environment of the star, and to permit use of filtering techniques to reduce the read noise. Acknowledgments. This study has made use of calibration observations obtained as part of proposals 7088, 8037 8491, 8896, GO-9241, 8925, 8419, GO-8842, GO-9037, and GO-9136 and parallel observations of HD 95881 obtained on GO-8796. Support for the analysis under proposal HST-AR-9224 was provided by NASA through a grant from the Space Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract NAS 5-26555. Support for the STIS IDT was provided by NASA Guaranteed Time Observer (GTO) funding to the STIS Science Team in response to NASA A/O OSSA -4-84 through the Hubble Space Telescope Project at Goddard Space Flight Center. CAG was supported through transfer of funds to The National Optical Astronomy Observatories. NOAO is operated by the Association of Universities for Research in Astronomy (AURA), Inc., under cooperative agreement with the National Science Foundation. Data analysis facilities were provided by the Laboratory for Astronomy & Solar Physics, at NASA’s GSFC. References Brown, T. M. 2001, “STIS CCD Read Noise During Side-2 Operations,” Instrument Science Report STIS 2001-005 (Baltimore: STScI) Grady, C. 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Pavlovsky, C., et al. 2001, ACS Instrument Handbook, V. 2.1 at http://www.stsci.edu/instruments/acs Schneider, G. 2001, AAS 198, 8301. Schultz, A. B., Hart, H. M., Kochte, M., Bruhweiler, F., DiSanti, M. A., Miskey, C., Cheng, K.-P., Reinhard, K., & Schneider, G. 2001, AAS 198, 7707 Stapelfeldt, K. R., et al. 1999, ApJ 516, L95. Woodgate, B. E., et al. 1998, PASP 110, 1183 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. The STIS CCD Spectroscopic Line Spread Functions1 T. Gull, D. Lindler,2 D. Tennant,3 C. Bowers, C. Grady,4 R. S. Hill,5 and E. Malumuth5 Laboratory for Astronomy and Solar Physics, Code 681, NASA’s Goddard Space Flight Center, Greenbelt, MD, 20771 Abstract. We characterize the spectroscopic line spread functions of the CCD modes for high contrast objects. Our goal is to develop tools that accurately extract spectroscopic information of faint, point or extended sources in the vicinity of bright, point sources at separations approaching the realizable angular limits of HST with STIS. Diffracted and scattered light due to the HST optics, and scattered light effects within the STIS are addressed. Filter fringing, CCD fringing, window reflections, and scattering within the detector and other effects are noted. We have obtained spectra of several reference stars, used for flux calibration or for coronagraphic standards, that have spectral distributions ranging from very red to very blue. Spectra of each star were recorded with the star in the aperture and with the star blocked by either the F1 or F2 fiducial. Plots of the detected starlight along the spatial axis of the aperture are provided for four stars. With the star in the aperture, the line spread function is quite noticeable. Placing the star behind one of the fiducials cuts the scattered light and the diffracted light is detectable even out to 10000 Å. When the star is placed behind either fiducial, the scattered and diffracted light components, at three arcseconds displacement from the star, are below 10−6 the peak of the star at wavelengths below 6000 Å; at the same angular distance, scattered light does contaminate the background longward of 6000 Å up to a level of 10−5 . 1. Introduction The distinctive advantages of Hubble Space Telescope (HST ) are near-diffraction-limited imaging performance and access to the ultraviolet. The Space Telescope Imaging Spectrograph (STIS) takes advantage of the near-diffraction-limited capability of HST and provides spectral dispersions ranging from R 500 and 10,000 from 1175–10,000 Å and 30, 000 to 180,000 from 1175 to 3200 Å. The optical design and detector performance of STIS was carefully matched to science problems that the STIS Instrument Development Team (IDT) realized could be addressed with high angular resolution and selected spectral dispersions. We designed the detector formats to utilize the angular resolution of the primary optics. For the CCD modes (1650–10,000 Å, R 500 and 10,000), the pixel sampling is 0.0504. In 1 2 3 4 5 Based upon observations with the NASA/ESA Hubble Space Telescope, obtained at the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract, NAS 5-26555. Advanced Computer Concepts Naval Academy National Optical Astronomy Observatory Science Systems Applications, Inc. 148 The STIS CCD Spectroscopic Line Spread Functions 149 keeping with the philosophy of developing the second generation of instruments for HST, state-of-the-art detector technology was pushed to obtain the best detectors possible for space observations and numerous spectral modes were installed to provide a range of resolving powers. Late in testing of the CCD modes, we realized that increased transparency in the near red of the silicon bulk material led to increased internal scatter within the detector and support substrate. This red scatter would complicate spectroscopy, direct imagery and especially coronagraphic imagery done with the STIS CCD. Success of STIS is measurable in many ways. With each cycle of competition for HST observational time, many successful proposals use the STIS. Already, key discoveries include measurements of black hole masses in the nuclei of many galaxies, and the cores of globular clusters, of the spectroscopic transit of a planet across the surface of a distant star, of the lack of planets in globular clusters, of measurements of the Gunn-Peterson effect and of the Lyman alpha forests, of the first ultraviolet spectra of gamma ray bursters, and of nebular structures in very close vicinity to bright stars. The HST /STIS has broken many barriers to ground-based spectroscopy, yet data reduction and analysis continues to be challenging when we attempt to pull out weak, extended structures close to a bright central source. As we have learned more and more about the performance of STIS, we have felt encouraged to push the limits of its capabilities. In this discussion, we present some measures of the line spread function for the CCD spectroscopic modes as a function of wavelength. In the future, we hope that software will be developed to enable all users to take full advantage of the remarkable rejection that STIS provides off axis. More importantly, we hope that this information on the realized performance of STIS will provide insights for improved instrument performance of future ground-based and especially space-based instruments. For the HST /STIS user, many observations can be accomplished routinely. If two objects are at the classical separation (one full at half maximum separation), then the data reduction/analysis is relatively straightforward. Here we address optical performance that must be taken into account when the relative intensities are > 20. With the potential of reaching statistical S/N > 20, large contrast factors can be addressed. In short this discussion is in the very important application when a very low extended source, or even a faint point source, is detectable near a significantly brighter, point source. 2. Examples of a STIS CCD High Contrast Observations We start with a spectrum of a K0 star (HD 181204) dispersed by the G750L grating from 5000 to 10,000 Å (Figure 1). The top and middle spectra display the same spectrum with relative flux scales of 100. The bottom spectrum is of the same star behind the F1 (0.5) fiducial1 which blocks the core light by nearly four orders of magnitude. The grey scale for the bottom spectrum is 1/300th that of the top spectrum. Longward of 7000 Å, the silicon structure of the CCD absorbs less radiation, and the light is reflected within the chip structures. Diffuse scattering becomes increasingly apparent with wavelength and spreads across the CCD. The CCD in the near-red behaves much like a Fabry-Perot interferometer, and develops wavelength-dependent fringes in response to the dispersed light. Properly executed flat fields can be used to correct the fringed response for objects positioned within the aperture. Recently, Malumuth et al. (2002) developed a calibration scheme for objective 1 The STIS has a aperture wheel that allows for a selection of optimized apertures to fit the desired scientific observation. An internal calibration system (WAVECAL) feeds light from a Pt(Cr) lamp to provide reference wavelengths for wavelength and velocity measures. Positional information is defined by two fiducials (F1, which is 0. 5 wide, and F2, which is 0. 8 wide) on each long aperture. The aperture wheel encoding permits very precise placement of the apertures, sufficiently accurate in position, that a stellar image can be blocked by rotating the aperture into position. The fiducial tests in this paper were performed with the 52 × 0. 2 and the 52 × 0. 1 apertures. 150 Gull, et al. Figure 1. Spectra of HD 181204 (MIII) from 5000 to 10,000 Å through the 52 × 0. 2 STIS aperture. The top and middle spectra are the same spectrum, but with a grey scale change of 102 . The bottom spectrum is with the star placed behind the F1 fiducial (0.5 wide), displayed with a grey scale 1/300th that of the top spectrum. The HST diffracted light pattern is now visible. grating spectra of objects in the STIS CCD parallel modes (see also Malumuth et al. 2003). The fringes seen in the bottom image of Figure 1 are not CCD-induced fringes, but the classical fringes due to diffraction of the telescope optics. In a perfect spectrograph, these fringes would be the limiting factor in observing faint sources in the vicinity. The collapsed Line Spread Function (LSF) is plotted in Figure 2 for the same spectra in Figure 1. The upper trace is of the unobstructed star LSF sampled through the 52 × 0.2 aperture. The middle trace is of the same star, HD 181204, placed behind the F1 fiducial (0.5 wide) and the bottom trace is with the star placed behind the F2 fiducial (0.8 wide). The fiducial cuts the wings of the LSF by 102 . We note that this spectral LSF is a linear approximation of a much more complex function. In the stellar spectrum spread horizontally across the two-dimensional CCD, each wavelength has a scattering function that spreads in two dimensions. The narrow aperture at the entrance to the STIS cuts the PSF of HST to a thin slice that is then modified by each optical element. In the ideal situation, this modification would simply be the spectral separation of the input light. However each optical element can contribute scatter or modulation to the light, creating a PSF response that is wavelength dependent. We find that the major effect is light scattering in the CCD detector itself and that the scattering becomes more pronounced to the red part of the spectrum. However to get reasonable S/N measures of the LSF, we had to collapse the data in the spectral direction to measure the LSF along the cross-dispersion, the angular or the spatial direction. The reader is cautioned that a wavelength LSF is needed, especially at wavelengths longward of 7000 Å. Between 3000 and 7000 Å, an averaged LSF, scaled with wavelength due to HST optics diffraction effects likely will suffice. Scattered light is a major problem for faint, extended or complex structures along the aperture. Eta Carinae, with the Homunculus (a bi-lobed nebula plus disk system of ejecta) is one such complex structure with scales well matched to the angular resolution of HST. Most of the nebula is a reflection nebula shell with some ionized metals, but neutral hydrogen. Close to the star is a series of emission structures, including a Little Homunculus (Ishibashi, et al. 2002). Figure 3 shows an extracted portion of three spectra including Balmer alpha (G750M, centered on 6768A). Eta Carinae is centered within the 52× 0.1 aperture in the lower spectrum. In the logarithmic stretch across five decades, a faint ghost is noticeable The STIS CCD Spectroscopic Line Spread Functions 151 Figure 2. Collapsed Line Spread Function (LSF) for G750L (5000 to 10,000 Å) of the HD 181204 (MIII) (Figure 1). The upper trace is the LSF for the unobstructed spectrum. The middle trace is the LSF for the star placed behind the F1 (0.5 wide). The bottom curve is the LSF for the star placed behind the F2 (0.8 wide). to the lower right of the bright, broadened Balmer alpha emission profile of the star. Faint nebular emission consisting of narrow Balmer alpha and [N II], [S II] emission lines can be seen, but the brightness is only slightly above the video pickup, with 4DN amplitude. The middle and top spectra were recorded with the 52× 0.2 aperture, but with the F2 (0.8width) fiducial rotated to block the star. The middle spectrum (10 seconds CR-SPLIT) brings out the nebular emission lines well above the video pickup, and the scattered starlight continuum can be seen, including the broad Balmer alpha emission, complete with a nebular absorption line. Some video pickup is noticeable. The top spectrum (150 seconds CRSPLIT) goes very deep, but some of the scattered Balmer alpha emission has saturated at the edge of the fiducial and is bleeding into the nebular portion of the spectrum. Closer inspection of this spectrum pulls out over twenty unique narrow nebular emission lines, two of which are [Sr II] detected for the first time (Zethson, et al. 2000). 3. Known Limitations As with any spectrograph, each optical element alters the output. Some changes are not desirable, whether they are diffraction effects, scattered light, faint reflections at every transmitting surface, stray light, or detector performance. The challenge is to anticipate these problems and to minimize deleterious effects on the product. STIS is no exception, and as shown in this paper, we are pushing the instrument capabilities to the realizable limits. Indeed one major reason for preparing this paper is to document the realized instrument capabilities and to sensitize designers of future spectrographs to shortcomings that must be overcome if astronomers wish to study complex systems with even higher contrasts. Each first order grating has a blocking filter to ensure no second order (blue) leakage contaminates first order spectra at the red end. Each blocking filter is attached directly to the grating mount. Collimated light passes through these filters both in the incident and diffracted beam. A small modulation is detectable especially in the spectra of calibration emission lamps where the f/ratio of the optical system is very large and the intrinsic line widths are much narrower than the resolving power of the spectrograph (R 500–10,000). For astronomical continuum sources the modulation is significantly less than a percent and for emission line sources, the modulation would be a few percent for intrinsic linewidths 152 Gull, et al. Figure 3. Spectra of Eta Car and Very Nearby Ejecta from 6400 to 7000 Å, plotted with a dynamic log scale of 105 . Bottom: Eta Carina in the 52 × 0.1 aperture (exposure 0.3 s). The broad, diffuse structure to the right and just below the Balmer alpha P-Cygni emission line is a ghost image due to reflections off the CCD detector window. Middle: Eta Car behind the F2 (0.8) fiducial ( 10 second CR-SPLIT). Top: 150 second, CR-SPLIT=2 exposure. The stellar Balmer alpha spills over the fiducial into the extended nebula. Each spectrum extends −2 to+2 from Eta Car. The ghost, seen when the star is within the aperture, is greatly decreased by the fiducials as the scattered light is suppressed. approximately 20 km s−1 . Spectroscopy of NGC 7009 yielded a measured peak-to-peak modulation of 3% for the ratio of [O III] 5007 Å/4959 Å (Rubin et al. 2001). The ghost image (Figure 3) is of much greater concern. Direct images (Figure 4) show a faint double ring to one side of each bright star image. The position of these rings moves relative to the star image. R. S. Hill (63 and 65) analyzed many direct and spectroscopic images recorded by STIS (Figures 4, 6 and 7). The integrated flux of the double ring is a few percent of the total flux of the star. Figure 8 shows the path traced by the principal ray impinging upon the CCD. The CCD surface reflects the focused image, at f/48, back to the fused silica housing window (necessary to prevent contamination accumulating on the CCD surface!). Reflections from both window surfaces result in the two out of focus, displaced images next to each star in Figure 4. Hill’s report (2000) demonstrates that the rings on direct images are well behaved. Lines, extending through each stellar and associated pair of ghost images, come to a common region on the detector. Figure 5 reproduces his measures of the positional displacements. The dispersed spectrum of a star, shown in Figure 6, demonstrates that the double rings build up a shoulder offset below the stellar spectrum. The integrated amplitude, which changes with wavelength, is a few percent of the total stellar flux in the red, but nearly negligible in the 2000–3000 Å spectral region as an antireflection coating was place on the window for the blue portion of the spectrum. Quite a different response is noted for WAVECAL spectra (Figure 7). The double ring phenomenon is not present, but a series of fringes in the approximate positions, expected for the CCD window ghosts, are seen. A spectrum of the brightest portion of the Orion nebula was recorded of H alpha and [N II] lines. No fringes were observed at the ghost positions. Twelve sub-exposures were combined by CALSTIS using a cosmic-ray rejection algorithm. Detection of the ghost is marginal as the relative brightness per pixel is 10−4 that of the peak emission line brightness. However, WAVECAL exposures provide fringe The STIS CCD Spectroscopic Line Spread Functions Figure 4. Broad-Band Direct Image Recorded by the STIS CCD. Each stellar image has two ghost rings due to reflections off of the CCD detector housing window. Note that the reflections relative to the stellar position move about a point due to the pupil plane being a significant distance behind the detector. Centering of Ghost 1 Centering of Ghost 2 1000 1000 800 800 600 600 400 400 200 200 0 0 200 400 600 800 1000 0 0 200 400 600 800 1000 Figure 5. Centering of the Two Ghosts within the CCD Detector Format. A line, drawn through the stellar image and the centers of one of the ghosts, extends to a common region on the CCD format. With the spectrum dispersed across in row 511, the ghost is BELOW the spectrum. Were the spectrum placed in row 100, the ghost would appear ABOVE the spectrum. 153 154 Gull, et al. Figure 6. Stellar Spectrum with the Ghost. The ghost flux is a few percent of the stellar flux, but extends over a number of pixels. Typical amplitudes per pixel are a few parts in 104 of the peak stellar amplitude. Figure 7. Sample Calibration Spectra and Simulations. Prelaunch external and internal lamp spectra demonstrate that the ghost position shifts with respect to the line position along the dispersion and that the HITM ghosts are fringed. The HITM optical beam is nearly collimated relative to the HST f/24 optical beam. The STIS CCD Spectroscopic Line Spread Functions 155 Figure 8. Optical Paths of the Incident Light and the Reflected Light. The ghost images are displaced from the primary spot due to the pupil plane being at a significant distance behind the detector surface. amplitudes 10−3 of the peak emission line brightnesses. We realized that WAVECALs were done through a different, highly collimated, optical train, before the STIS aperture. Lifetime of a mechanism in a space instrument is always a concern. The STIS shutter moves in and out of the input light path to prevent light contamination by STIS of any other instrument operating in parallel. The backside of the shutter has a mirror that feeds light into the instrument for LAMP calibrations. To minimize the movement of the shutter, an alternate light path feeds light from the calibration optical train through a permanently mounted mirror and a hole in the second relay mirror (the relay mirrors correct for optical aberrations of HST ), and to illuminate the STIS aperture. This mode, labeled HITM (hole in the mirror ... what else!), is within the shadow of the HST secondary. Thus the HITM mode feeds light with a very large f/ratio beam into STIS. The lamp intrinsic line widths are far narrower than the spectral resolving power of the first order gratings. The CCD-reflected light is reflected back by the two surfaces of the detector window and is modulated. We do not detect modulation of continuum sources, internal or external, because the wavelength variation is continuous. Hence we see rings instead of fringes. We confirmed this by a comparison of a LAMP spectrum to a HITM spectrum. The LAMP mode overfills the f/24 beam of the STIS collimator. The LAMP spectrum for the Pt(Cr) lamp is noticeably less that the HITM spectrum. As nearly all astronomical sources have intrinsic line widths (thermal, turbulence, etc.), the fringing is negligible. 4. Spectroscopic LSF Observations To characterize the faint scattering characteristics of STIS, spectroscopic LSF measurements were done of stars placed within a long aperture and then blocked by a fiducial. Indeed, we realized that characterization of coronagraphic imagery (see Grady, et al. 2003) could be enhanced by these spectroscopic measurements. The HST point spread function for a star is a weighted function of the spectral distribution. For a well-behaved panchromatic detector, the HST /STIS response would be expected to be spectral distribution of a known star weighted by the diffraction-limited HST PSF and sampled by the selected STIS entrance aperture. However, the STIS CCD has a very significant scattering component 156 Gull, et al. longward of 7000 Å as demonstrated in Figures 1 and 3. Our desire to quantify the detector scattering component and to understand the effects on observations led to requesting stellar measurements performed with proposal 8844. Four stars, point-like with respect to HST ’s angular resolving power, were selected. Other criteria included no measurable infrared excess (suggesting possible dust and gas surrounding the star); reasonable exposure times to record the scattered light passed by the STIS aperture fiducials F1 (0.5) and F2 (0.8); not be in a crowded field; and good accessibility, namely close to the orbital pole. STIS has an aperture wheel and a grating wheel. The selected aperture and grating are rotated into the light path. Internal calibration spectra are required to determine the spectral position on the detector. A WAVECAL is recorded along with each astronomical observation. In line identifications of the Weigelt blob B and D, located close to Eta Carinae, Zethson (2000) found that the measured, velocity-corrected wavelengths were accurate to about one/fifth of a STIS CCD pixel, based upon measured versus laboratory wavelengths of about 2000 emission lines. Position along any long aperture is referenced by two fiducials within each aperture. As the aperture wheel is very finely encoded, the F1 or the F2 fiducial can be precisely placed in front of the stellar image. Currently only F2 for the 52 × 0. 2 aperture is supported for routine observations. However other fiducials have been used. In proposal 8844, we used the F1 and F2 fiducials for both the 52 × 0. 2 and the 52 × 0. 1 apertures with excellent success. The most pressing criterion was to accomplish these observations in a reasonable number of orbits. We chose to use all three low dispersion gratings: G750L (5000 to 10,000 Å), G430L (3000 to 5000 Å) and G230LB (1600 to 3100 Å). As there are approximately forty primary settings for the M gratings, only the most frequently used M-mode settings were tested: G750M (8561 Å and 6768 Å), G430M (4961 Å and 3936 Å) and G230MB (2836 Å). Most grating settings were used with the A0V star, HD 141653, as the exposure times were reasonable and much could be learned throughout the spectrum. Only a subset of grating settings were used in the blue for the BD+75D325 (WD) and in the red for HD 115617 (GV) and HD 181204(MIII). The observed combinations are listed in Table 1. The WD, BD+75D325, was selected because it is a primary standard used in monitoring the sensitivity of STIS. The other three stars were selected because they had proved to be excellent reference stars for STIS coronagraphic observations (Grady, 2003) and because they spanned the spectral types from MIII to GV to A0V. Initially, we thought that the reference PSF of stars of intermediate spectral types could be modelled by a weighted combination of the PSF’s measured for these stars. However, the best reference PSF’s are those of similar stars taken during orbits immediately before or after the stars of interest because thermally induced collimation and focus changes are of greater impact. Table 1. Star BD+75D325 HD141653 ” ” HD115617 HD181204 a Stars Observed in Proposal 8844 for this Study SpT WD A0V ” ” GV MIII APER 52 × 0.2 52 × 0.2 52 × 0.2 52 × 0.1 52 × 0.2 52 × 0.2 G750L – A,F1,F2 – – A,F1,F2 A,F1,F2 G750M – A,F1 6768 A,F1,F2 8561 A,F1,F2 8561 A,F1,F2 6768 A,F1,F2 6768 G430L A,F1,F2 A,F1,F2 – – A,F1,F2 A,F1,F2 G430M A,F1 4961 – A,F1,F2 3936 A,F1,F2 4961 – – G230LB A,F1,F2 A,F1,F2 – – A,F1,F2 A G230MB A 2836 – – – – – For GXXXL(B) grating tests, the grating settings are the default central wavelengths. For GXXXM(B)the grating settings are listed as the central wavelength in Å. A = star in slit. F1 = star behind fiducial F1 (0.5/arcsec). F2 = star behind fiducial F2 (0.8/arcsec). Exposure times, which are not listed, were selected to keep the recorded spectra significantly below the 32,000 DN levels with the CCD GAIN = 4. Where the fluxes were The STIS CCD Spectroscopic Line Spread Functions 157 Figure 9. Comparison of LSF for G750L for HD 181204 (MIII, upper right), HD 115617 (GV, lower left), and HD 141653 (A0, lower right). Upper left is the LSF for G750M for HD 181204 (MIII) centered at 6768 Å. significantly lower, GAIN = 1 was used to keep above video pickup levels close to the star. As the desired dynamic range is quite large, we rapidly reach flux levels affected by detector noise, cosmic ray events and even bias shifts across the CCD columns. Indeed some LSF plots exhibit a pronounced asymmetry from below the star in the spatial direction to above the star. This is a known bias shift problem. Correcting for it is not a simple matter. We chose to not correct for the shift as a means of cautioning the observer that it is there. The line spread functions are presented in Figures 2, 9–13. These are averaged LSFs. Each spectrum is precisely aligned using WAVECAL lamp spectra and the trace of the stellar spectrum, or the illuminated edges of the fiducial, when the star is blocked by the fiducial, F1 or F2. We caution the reader that these LSFs are collapsed along the spectral dispersion (re-sampled row) direction. For the G750L spectra, the average is taken from 5000 Å to 10,000 Å, and is heavily weighted by scatter beyond 7000 Å. For contrasts up to 103 , the current data is sufficient, but a wavelength-dependent LSF from 5000 to 10,000 Å will have to be modelled as the measurements do not have sufficient S/N for complete measure. For Figure 2 and 9–13, the flux along the spatial (cross-dispersion) axis is logarithmic ranging from 100 to 10−8 . Each CCD pixel subtends 0.0504. These plots extend from approximately 10 below to 10 above the star, which is centered near row 512. The top trace is of the star centered in the 52 × 0. 2 aperture and is normalized to the total measured flux. The LSF drops slowly, but relatively symmetrically. At 10 distance from the star, the detected flux is ∼ 10−4 of the total flux. The central trace is the LSF with the star placed behind F1. The flux at the position of the star drops by 104 , and the off-axis scattered light drops by a factor of 102 . The bottom trace is the LSF with the star placed behind F2. The scattered light is not affected significantly in the innermost few arcseconds, but at ∼ 10 , the scattered light is decreased by a factor of two compared to the scattered light from the F1 fiducial measurement. The left-hand shoulder is the ghost that we discussed above (Figures 3–6). Placing the star behind either fiducial drops this shoulder as expected. However, the light that passes the fiducial, diffracted and scattered light from the telescope, also produces ghosts. As the signal/noise is excellent, we can see the fainter ghost due to the left edge of the fiducial for 158 Gull, et al. Figure 10. Comparison of LSFs for HD 114653 (GV) Upper left: G750L Lower left: G750M (8561 Å) Upper right: G750M (6768 Å) with 52 × 0.2 aperture. Lower right: G750M (6768 Å) with 52× 0.1 aperture. F1 and even for F2. The ghost for the right hand portion of the light passing the fiducial contributes to filling in the area subtended by the fiducial and to the flux on the left hand side of the fiducial. If the star were in row 100, the ghost would shift above the spectrum. In the following section, we will intercompare LSFs for different grating combinations with spectral type. The top curve is always the star in aperture; the middle curve is F1; and the bottom curve is F2. These fiducials were moved in and out without re-centering the star between observations. As demonstrated by the symmetry of the stellar core and the scattered light on both sides of the fiducials, the relative offsets are excellent. Indeed, success of proposal 8844 is good evidence to extend support to all four fiducials. 5. LSF Intercomparisons The LSFs (Figure 9) for the three coronagraphic reference stars are collapsed from 5000 to 10,000 Å. They vary because of the CCD response to the very different stellar spectral distributions. The AOV star LSF (lower right) drops off faster due to the blue spectral distribution. Indeed, this LSF, weighted towards 5000 Å relative to 10,000 Å, is similar to the spectral LSF measured by the G750M grating (upper left) centered at 6768 Å. Figure 10 compares LSFs for HD 114653 (A0V) for G750L and selected G750M settings. The G750M (8561 Å) LSF (lower left) is very similar to the G750L LSF (upper left). The G750M (6768 Å) LSF (upper right) wings drop off faster for the F1 fiducial than the LSF centered on 8561 Å. The G750M (6768 Å) grating setting was observed with both apertures. Little difference, other than S/N, was noted. The G430L LSFs for all four stars are plotted in Figure 11. As expected, scattering drops off faster than for the G750L LSFs, since the telescope optics diffraction pattern is sharper and the CCD silicon layer is optically much thicker. Visible-wavelength photons do not penetrate very deep into the silicon layer. By contrast, the CCD is nearly transparent to photons near 10,000 Å and the diffraction pattern is twice as large. The G430M LSFs produced by the four stars are quite similar: the diffraction pattern is close to the core of The STIS CCD Spectroscopic Line Spread Functions Figure 11. 159 G430L comparisons for all four stars. the star; the ghost is easily seen on the left shoulder. Knowledge of the bias level is now a significant problem as demonstrated by the asymmetry of scatter above and below the star. Figure 12 plots three measures of the G430M LSF in comparison to the G430L LSF. S/N is an issue as scattered/diffracted flux drops down to levels marginally detectable with 32000 DN encoding range. Determining the bias level is also a problem. BD+75D325 LSF measures are strongly limited by detector background. The ghost signal appears stronger for the G430M (4961 Å) setting than for the 3936 Å setting due to the antireflection coating applied to the window for the blue optimization. While several LSFs were measured for the G230LB and G230MB gratings, they differed only in S/N. Figure 13 shows the best LSF measures for BD+75D325. The ghost on the shoulder is significantly weaker than for spectra to the red. Scatter measurements in all three LSFs are limited by the finite DN range integration time. The three LSFs match so well that we are tempted to combine all three. The fiducials in the G230LB and G230MB modes primarily attenuate the core of the telescope PSF. The STIS CCD does not contribute a significant scatter component as the blue photons are absorbed at the surface of the silicon. Figure 14 brings together the contribution to the background as a function of wavelength for an angular displacement offset by three arcseconds from the star in the +Y direction. The three curves are for the star in the aperture, behind the F1 fiducial and then behind the F2 fiducial. Compared to the total normalized flux, the scattered/diffracted starlight contribution is below a few parts in 105 from 2000 to 6000 Å. Longward of 6000 Å the scattered light component becomes noticeable, primarily due to scatter in the STIS CCD. It climbs to a level of ∼ 10−3 at 10,000 Å. With the star placed behind either fiducial, the scattered component drops 100-fold at 10,000 Å and is below 10−6 shortward of 7000 Å. The rise in scattered light shortward of 3000 Å is consistent with measured HST light scatter due to roughness of the mirror surface. Finally we wish to point out that the LSF measures in this discussion are really a linear approximation to a scattering phenomenon that must radially transmit through the CCD chip in a fairly random pattern. This pattern will depend on the details of the CCD fabrication: how thick and uniform is each layer of etched circuitry and the uniformity of sensitivity. From Malumuth et al. (2002) we learned that the CCD chip is wedge-shaped and that the sensitivity fringes are distorted by this apparent shape. A proper model of the detected scattered light would also 160 Gull, et al. Figure 12. BD75+325. 100 G430L and G430M comparisons for A0V HD141653 and WD G230LB 2375 BD+75D325 10-2 51195: 52X0.2 51197: 52X0.2F1 51199: 52X0.2F2 10-4 10-6 10-8 300 Figure 13. 400 500 starplot/51195.ps 600 G230L LSF comparisons for WD BD75+325. 700 The STIS CCD Spectroscopic Line Spread Functions 161 Figure 14. The Measured Scattered Light Component as a Function of Wavelength at a Position Offset 3 from the Star in the cross dispersion direction on the CCD. Abscissa: alog10(flux) relative to the total flux. Top curve: scattered light with the star centered within the STIS 52 × 0. 2 aperture; bottom curves: measures of the scattered flux with the star is positioned behind F1 or F2. have to take into account the smoked support glass that supports the CCD chip within the housing, necessary to help the CCD survive during the launch vibrations. 6. Conclusions This discussion describes the instrumental scatter of STIS in combination with HST. We observed four stars ranging from a WD to MIII in spectral type, working in coordination with coronagraphic observers. Future work is intended to define a tool for subtracting the ghost feature, and possibly defining a wavelength-dependent LSF. Acknowledgments. We are grateful to the Space Telescope Science Institute STIS Team, their contribution of observing time and positive encouragement in reducing and interpreting the data. One of us (Don Tennant), as a volunteer summer student from the United States Naval Academy, provided much of the data reduction used in this paper. Mr. Keith Feggans assisted in preparation of the figures for this publication. References Grady, C. A. 2003, this volume, 137 Hill, R. S. 2000–2001, STIS Postlaunch Quick Look Reports, No. 63 and 65 http://hires.gsfc.nasa.gov/stis/postcal/quick reports./quick reports.html Ishibashi, K., et al. 2002, AJ, submitted Malumuth, E., et al. 2002, PASP, accepted Malumuth, E., et al. 2003, this volume, 197 Rubin, R., et al. 2001, MNRAS, 334, 777 Zethson, T. 2000, PhD. Dissertation, Lund University, Sweden Zethson, T., Gull, T., et al. 2000 AJ, 12, 34 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. FOS Post-Operational Archive and STIS Calibration Enhancement M. R. Rosa,1 A. Alexov, P. D. Bristow, F. Kerber Space Telescope European Coordinating Facility, European Southern Observatory, D-85748 Garching, Germany Abstract. The first part of this report summarizes the scientific quality enhancement for FOS/BL data—the Post-Operational Archive project. Part two describes the status and planning for the follow up, a calibration enhancement for the 66,095 data sets obtained with STIS between 1997 and 2001 when it was operated using “Side 1 electronics.” 1. Introduction When in 1999 the Memorandum of Understanding (MoU) between NASA and ESA about funding and specific contributions towards the continuation of the multi-agency HST project had to be renewed, it became clear that there was little room for hardware contributions from ESA’s side. The agencies agreed that the additional ESA contributions will instead concentrate on the “users end,” for our purposes here in particular the science data archives and the science data calibration status. As a result, the “Instrument Physical Modeling Group” was created at the ST-ECF with 3 additional staff from ESA HST funds. In October 1999 we could start with the first project, the “Post-Operational Archive for FOS,” concluded at year’s end in 2001. Since January 2002 we are now fully engaged in the “STIS Calibration Enhancement” (STIS/CE) project. In the following status, results and plans for these two projects, implemented under NASA/ESA MoU, are present with emphasis on the science end user’s point of view. 2. Scopes and Interfaces The prime responsibility for HST science operations rests with the STScI, including the dissemination and archival of data in a form useful for the science end user. It has always been a key objective for these activities at STScI to ensure a very high standard of calibration on the data. This high quality default calibration was (and still is) to be available not weeks or years after the actual observation took place, but right from the moment the raw data are received on the ground and subjected to the pipeline for the first time. At the occasion of the first HST calibration workshop in the new millennium it should be noted that the staff at STScI, with the support from IDTs and others, has done a very good job on maintaining the high standards for the “instantaneous” calibration, even under the adverse conditions of responsibility for operations, planning and dissemination of products in almost real time. Naturally, this goal could only be reached by investing in an 80/20-like fashion, that is, assuring a good level for almost all data at all times from all frequently used modes, rather than concentrating on a few specific or difficult modes at a 1 Affiliated to the Space Telescope Division, Research and Space Science Department, Directorate of Science, European Space Agency 162 FOS Post-Operational Archive and STIS Calibration Enhancement 163 particular epoch. Also, the operational requirement to make available calibration solutions “momentarily” did not help in understanding long term trends. The de-commissioning of the first generation of HST instruments, in particular the FOS, offered the ideal case to take a break and to view the entire set of data, calibration observations and science exposures as well, as a coherent set. On the firm basis of an existing, usually quite well documented calibration pipeline system the key objectives for POA/FOS project were then initially defined by 1. A comprehensive review of the calibration (documentation, calibration data, suitable science data in comparison to expectations) 2. Analysis of the trends, isolating slowly varying instrumental effects from HST environmental ones (long baseline for trending) 3. Selection of the calibration areas with best ratio of scientific value per effort for follow up 4. Implementation of superior solutions into the pipeline 5. Release of re-calibrated data and documentation, user support Ultimately the recipients of the products should be the scientific users world wide. And, while STScI on behalf of NASA is formally the primary customer, it can also act efficiently as a redistribution center both ways, products and user inquiries. In order to maximize the benefits and to minimize the overhead close collaboration and exchange of information between ST-ECF and STScI were agreed upon as well and set up as required. Reporting is annually to the ST-ECF Users Committee and at the ESA/ESO Annual Review of the STECF on this side of the Atlantic. Progress reports are usually also included in the regular meetings of the STScI Users Committee. 3. A New Paradigm From the outset it was clear that our group with a nominal power of 2.5 FTE would never be able to repeat (even partially) the work of many that had covered the calibration of an instrument like FOS as members of the IDT, as participants in the laboratory testing before launch, as instrument scientists and archive specialists at STScI. In order to improve the calibration of the entire set of archived data of the FOS at a scientifically significant level we therefore had to choose a paradigm quite different from the canonical, empirical one. Our approach then rests on the idea that a large (well above 90 percent) fraction of the calibration relations is very well described by functions that are either directly derived from first principles or well known laws from physics textbooks. The description of dispersion relations through trigonometric functions from physical optics, with meaningful parameters, rather than by fitting of unspecific low order polynomials may serve as an example. The procedure then is to replace a multitude of isolated empirical corrections (instrumental signatures) available for the various modes, environmental conditions and epochs by a physically correct chain of transformations that are motivated by insight into the engineering and physics of the instrument, its optical setup and its detectors. Early successes in that direction include for example the scattered light model for the FOS, described in the Appendix C (M. Rosa) of the FOS Instrument Handbook, (Keyes et at. 1995) and in Rosa (1994). 4. Post-Operational Archive for the FOS The review and subsequent improvement of the calibration of the FOS archival data started in 1999 and was concluded with the final release of the upgraded pipeline software (ver- 164 Rosa, et al. sion 1.2.1), necessary reference data and on-line documentation in November 2001 (see http://www.stecf.org/poa/fos/, and Alexov et al. 2002). The data actually corrected concern all spectrophotometric observations FOS/BL mode. Excluded are FOS/BL spectropolarimetry and FOS/RD all modes (see also the last subsection further down). 4.1. Wavelength Calibration—Zero Points In agreement with STScI we focused in 1999 on known and suspected issues of the wavelength calibration. User reports and the analysis of data obtained annually for the check of the dispersion solutions pointed towards problems with the wavelength calibration in all modes. The findings included inconsistencies of radial velocity measurements between repeated exposures, between different wavelength ranges, between HST FOS data and observations from the ground and even within the wavelength range visible in certain high resolution modes. Even without the user driven suspicion towards the dispersion solutions and zero points it was clear to us that a close review of the wavelength calibration and its stability over the entire FOS lifetime was of high interest. This because the dispersion solution reference data (polynomial parameters) employed by the calfos pipeline had remained unchanged since 1992. Indications of large, albeit random-like wavelength zero point shifts from trending analysis while FOS was still operational had always been explained with the so-called “filtergrating-wheel un-repeatability.” We undertook a mass analysis of all internal wavelength calibration lamp observations available, dedicated ones planned by FOS instrument scientists and those taken by GOs in connection with science exposures on targets. In total we had some 1800 such observations spread over the entire lifetime of FOS (1990 to 1996) at our disposal. The raw data were cross-correlated with those that had formed the basis for the dispersion coefficients installed in CDBS. Soon it became clear that there were rather large uncertainties in the zero points of the wavelength scale. On the blue channel modes there were very well defined almost linear trends with time amounting to an offset of 4 pixels for data taken in late 1996. On the red channel modes the situation was much more complicated, presenting a seemingly random scatter −2 to +6 pixels throughout the entire lifetime (see Rosa et al. 1998). In the end the in-famous geomagnetic image motion problem (GIMP) noted in September 1990, and the attempts to correct it on-board after April 1994 were found to be the primary source of the scatter in the wavelength scale zero-points. The long term steady increase in zero point deviation for the FOS/BL data could be identified with the side-effects of the repeated adjustment of the Digicon image focusing parameter YBASE during operational life, and with the general increase of the HST aft-shroud temperature. Details can be found in the POA/FOS Technical Reports #1 and #2 (Rosa et al., 2002a, b) available from the above mentioned web site. Correction for the blue side FOS data was achieved using a model that combined the detector physics (Digicon magneto-electrical focusing) with highly accurate models of the HST orbit (from NORAD) and the geomagnetic field (from GSFC). This code segment was implemented into a POA/FOS modification of calfos (poa calfos) released in August 2000. 4.2. Wavelength Calibration—Dispersion Relations After correction of the GIMP/YBASE/Temperature related drifts and shifts of the wavelength zero points (really the location of the photocathode image on the diodes), it was possible to analyze the dispersion relations and their variations in shape for the different epochs. Not surprisingly—the FOS was built according to high standards—it was found that the shapes did NOT vary at all. The alleged variation of dispersion solutions had in fact been the zero point shifts masked by the use of unspecific low order polynomials. FOS Post-Operational Archive and STIS Calibration Enhancement 165 Figure 1. Residuals of the calfos dispersion relations (different shades are different high resolution modes). Although most of the data points are within the nominal error limit of a pixel (= 1/4 diode indicated by horizontal bars), there is a clear structure common to all modes—actually the S-Distortion not fully matched by the 3rd order polynomials. In addition, several lines of the original line lists are either blends or have bad identifications. During the review of the dispersion solutions we also found that the scarcity of useful, unblended lines in almost all of the FOS wavelength ranges combined with the use of low order polynomial solutions led to unphysical behavior of those solutions at the wavelength range limits (run-away). Accordingly, STPOA poa calfos release version 1.1 in May 2001 included an entirely new wavelength calibration module based on a physical optics model of the FOS spectrograph. This model is a derivative of a generic spectrograph model described by Ballester and Rosa (1997), and contains only engineering parameters such as focal lengths, grating constants and configuration angles. The solution implemented for the FOS/BL high resolution modes represents the best set of such parameters for those components that are common between all modes (collimator, overall configuration, camera). It also includes the effects of S-Distortion in the Digicon detector. For each of the high resolution modes the internal accuracy of the solutions are a factor 5 to 10 improved over the original polynomial solutions. 4.3. Update of Flats and Dark Correction Subsequently the entire suite of flat fields needed to be redone, because the FOS/BL raw data were now adjusted in zero point location. We used the occasion to investigate areas of improvement for the flat fields, but concluded that any additional improvement was visible only for exposures of exceptional total length and signal to noise ratios. The only set of such exposures in the FOS/BL archive are, however, the standard star observations made for the purpose of deriving flat fields. A noticeable improvement was possible for the dark correction module of the pipeline. As noted earlier (Rosa 1993), the scaling of darks in the calfos pipeline was insufficient at the extremes of geomagnetic latitudes traveled by HST. Since the new pipeline poa calfos had already been augmented with a module that predicted HST orbital location and geomagnetic parameters to a much higher accuracy than previously calfos, we were able to scale the darks using a physical connection with the energetic particle density through the so-called Shellparameter L. This new dark scaling and correction of an error in the scaling algorithm in 166 Rosa, et al. Figure 2. Residuals from the FOS Dispersion model, same total number of lines used. Improvement by a factor of 5 to 10 is mostly due to the generic inclusion of the S-Distortion and the ability to select against blends or misidentifications without significant change of the shape of the solution. the pipeline itself were implemented into the final release of STPOA in late 2001 (Bristow et al. 2002b). Additional dependencies of the dark rate on solar cycle or day-night differences could be seen in the data, but the large spread of actual dark measurements at any given geomagnetic location and epoch did not warrant any further modeling. In any event, the residual uncertainty in dark scaling is only relevant for the faintest of all targets. However, for such observations the only trustworthy dark measurements could have been obtained only by simulating a near-simultaneous sky or dark observation through use of a 50/50 cycle rapid beam switching in the Digicon—actually never performed. 4.4. And What about FOS/RD Data... The entire suite of successful improvements made for the FOS/BL data archive rests on the ability to correct the GIMP/YBASE/temperature induced zero point shifts of the raw data in the first place. In the case of the blue side FOS Digicon the magnetic shielding was near spec, so that the GIMP (and its, albeit wrong, on-board compensation) were small compared to the other two sources of error. However, the magnetic shielding of the red side detector was so poor (factor 8 less than on the blue side), that the GIM and the subsequent on-board compensation are significant nominally 4 pixel max each. The seemingly stochastic variation of the zero-points on the red side from −2 to +6 pixel exceeded this range about twice (see Rosa et al. 1998). The suspicion, that the on-board GIM compensation was sometimes out of phase is— very probably—the answer. Probably, because our deep investigation into the convoluted sequence of scheduling software, telemetry up, execution of the on-board GIM segment and telemetry down did lead nowhere. Actually it led into a US Government storage facility near Bowie, MD, where some 10,000 reels of 16 inch magtape from VAX resided—to be destroyed within a month’s time (that was in June 2000). More details on this sad outcome can be found in Bristow et al. (2002c). In principle the code we produced for FOS/BL can be used to analyze some 1000 wavelength calibration data from FOS/RD and to investigate whether a suitable and meaningful scaling of the parameters might explain the zero point shifts in a homogeneous and FOS Post-Operational Archive and STIS Calibration Enhancement 167 Figure 3. MWG halo absorption line velocities measured in data from two successive orbits as calibrated in the original FOS archive. Note the unphysical slope (wavelength dependency), and offset relative to the values expected from 21 cm line data bracketed by the dashed horizontal lines. comprehensive manner. Our peers and the internal review of plans between STECF and STScI however felt that we should now concentrate on the 66,095 data sets from STIS side 1 instead (see below)—and this is why there will likely never come a POA-like improvement to the FOS/RD part of the archive. 4.5. Science Verification of POA/FOS Finally, the improved calibration of the FOS/BL data was verified on science data in two ways. The consistency of the wavelength calibration across several adjacent wavelength ranges was shown using the emission lines of several LMC planetary nebulae (Kerber et al. 2002). The full impact of the POA/FOS correction of zero-points and dispersion solutions can be judged from a “before and after” comparison shown in Figures 3 and 4. Galactic halo absorption lines seen against the background of quasar continua have been measured in data sets calibrated with both, the standard calfos and with the new poa calfos pipelines respectively. Shown are data from two successive orbits denoted by symbols of different grey-scale. The horizontal lines indicate the range of radial velocities expected from the line of sight velocity distribution in the H2 column. The old calibration resulted in a velocity distribution that was (a) not commensurate with the 21 cm data, (b) displaying an unphysical correlation with wavelength, and (c) not even consistent from one orbit to the next. Surprisingly, a reasonably strong absorption line at 140 nm, if identified as a prevalent feature seen in many lines of sight through the halo, seems to be the only one matching up with expectation. The measurements of the same data sets, now from the POA/FOS archive, dramatically demonstrate the science potential for archival research with the improved FOS data. The measurements are now in agreement with expectation, from one orbit to the next as well, and independent from wavelength. In addition, the “mystery” line can now clearly identified 168 Rosa, et al. Figure 4. Same raw data as Figure 3, now calibrated with the POA/FOS pipeline. The feature at 140 nm is definitely not a MWG halo absorption, but Lyα from the quasar host galaxy at the redshift indicated by the vertical line. with Lyα absorption in the quasar host galaxy at the expected redshift (indicated by the vertical line in Figure 4). 4.6. User Support Upon delivery and release of STPOA v1.2.1 (August 2001), the STECF assumed full responsibility for the FOS user support world wide. Users entering the STScI HST help pages are transparently routed through to http://www.stecf.org/poa/fos/, and mail links are set to our POA help desk at ecf-poa@eso.org. 5. STIS Calibration Enhancement—STIS/CE Since January 2002 we are engaged in a follow-up project that will bring to the STIS data all the insight gained with implementing the new paradigm for FOS. Since STIS is not a postoperational instrument yet, extra care has to be taken to not interfere with the operational pipeline and calibration data base. Hence, the STIS Calibration Enhancement (STIS/CE) project has as its objective the archive of STIS data obtained between the commissioning after Servicing Mission 3 (March 1997) and the switching of electronics to Side 2 (July 2001). This STIS Side 1 archive comprises 66,095 data sets. Between January and March 2002 we collected and digested a very near complete pile of relevant STIS documentation from STScI, from the IDT archives at GSFC and from the manufacturer (Ball Aerospace). In April we discussed the resulting 4-year-plan with the STScI and presented it to both the STECF and the STScI Users Committees. The plan is a phased approach to the key areas of STIS calibration for which a significant improvement of science data can be expected from our paradigm of reducing calibration to understanding an instrument and list environment in physical terms. FOS Post-Operational Archive and STIS Calibration Enhancement 5.1. 169 Preparations Phase 1 (2002) foresaw the consolidation of a documentary archive, additional hardware installation to mass process the 66,095 data sets repeatedly, and to archive raw and processed data in an on-line storage for analysis. By mid-2002 we had installed a 5 TB raid array on a SUN Fire 280R machine with two 900 MHz CPUs, supported by the over-night processing power of additional 4 SUN Blade 150 Workstations. By late 2002 we have now in place the complete raw data archive of all STIS Side 1 data processed by STIS OTFR Opus v 1.4.2. This will serve as the reference against which improvements are verified (to be updated as necessary). 5.2. Geometry As was the case with FOS, paramount to this approach is a firm basis of the instrumental geometry for all epochs of data taking, both for imaging and for spectral long slit or echelle data. The pipeline ultimately will contain a module that comprises geometric distortion, 2D spectrometric imaging and wavelength assignment in a coherent fashion. Phase 2 (2002– 2003) calls for the implementation of the 2D spectrograph model (Ballester & Rosa, 1997), which has been working successfully already for the UVES Echelle spectrograph on the ESO VLT. Testing of the analysis part of the code has been very successful by June 2002 already for both, the FUV and the NUV echelle modes. As an example for the E140H FUV mode we predict the location wavelength calibration lines to better than 0.3 pixel (chi-square for 400 lines) from first principles across the entire frame (2 by 2 K). In support of this Phase 2 (geometry and wavelengths) several calibration lamps (vintage STIS flight spares and newly produced) have been observed with the UV vacuum spectrograph at NIST to obtain highly accurate laboratory list of the Pt, Cr and Ne spectra as observed in orbit. This is necessary because the laboratory list currently in use by the default STIS pipeline are not based on any observation of a STIS vintage lamp and, in particular do not have a single entry for the abundant lines of Cr. Also in support of the geometry phase we have begun to build up a physical CCD readout model that will be able to correct the raw data for the effects of CTE deficiencies. It is a well known fact that the loss and redistribution of charge during readout is not only a nuisance for photometric applications, but also leads to geometric distortion of the data in an illumination/scene dependent manner. The CCD readout model will serve also during Phase 4 (flux calibration). 5.3. Trending and Orbital Environment Phase 3 (mid-2003 to mid-2004) will make use of the STIS internal geometry corrected data to assess the impact of orbital environments (MSM repeatability, aft-shroud temperature variations, breathing of the telescope, etc.). The analysis of the data will also have an impact on the predictability of dark frames, hot pixels and other items related to photometry. 5.4. Flux Calibration After conclusion of Phase 3 the data processed by the STIS/CE Side 1 pipeline will be ready to establish a new system for flux calibration. Improvements of the geometric stability and predictability will be used to address again the optimal extraction of spectral data, this time aided by the predictions from the 2D echelle or long slit model—particularly beneficial for faint targets or deep absorption troughs. Phase 4 then will include the review of flux calibration items (e.g., flats, darks, extraction, inverse sensitivity, throughput and vignetting). 170 Rosa, et al. 5.5. And what about STIS Side 2... Between the STIS project at STScI and the STIS/CE project we have a close collaboration and information exchange, supported and regulated by several agreed upon documents. In order to protect the operational STIS pipeline at STScI from the experimental versions of our STIS/CE pipeline there will not be a direct port of modules and builds into calstis. However, the collaboration stipulates to exchange all insight gained into STIS calibration and functioning at the earliest possible date. For example it will certainly be possible to upgrade the operational calstis to the improved geometry and wavelength calibration once these modules have been tested extensively for STIS/CE of Side 1 data, if the STScI STIS project opts to do so. In any case it will be necessary to evaluate the situation—i.e. the evolutionary stage of both pipelines, STIS Side 1 ce calstis and STIS Side 2 calstis—at around 2004 and to discuss possibilities for mergers for the benefit of all STIS users. References Alexov, A., Bristow P. D., Kerber, F., & Rosa, M. R. 2002, Re-processing of HST FOS Data, POA/FOS Technical Report 2002-08, STECF Ballester, P. & Rosa, M. R. 1997, A&A Rev., 126, 563 Bristow, P. D., Alexov, A., Kerber, F., & Rosa, M. R. 2002b, POA Investigation of FOS Dark Correction, POA/FOS Technical Report 2002-07, STECF Bristow, P. D., Alexov, A., Kerber, F., & Rosa, M. R. 2002c, Tracking FOS on-board GIMP in commanding, AEDP telemetry and header contents, POA/FOS Technical Report 2002-02, STECF Kerber, F., Alexov, A., Bristow P. D., & Rosa, M. R. 2002, POA/FOS Science Verification, POA/FOS Technical Report 2002-06, STECF Keyes, C. D., Koratkar, A. P., Dahlem, M., Hayes, J., Christensen, J., & Martin, S. 1995, FOS Instrument Handbook, v.6.0, (Baltimore: STScI) Rosa, M. R. 1993, in Calibrating Hubble Space Telescope, J. C. Blades and S. J. Osmer (Baltimore: STScI), p. 190 Rosa, M. R. 1994, The FOS Scattered Light Model Software, CAL/FOS-127, (Baltimore: STScI) Rosa, M. R., Alexov, A., Bristow, P. D., & Kerber, F. 2002a, GIMP and YBASE Induced Zero-Point Shifts in FOS Data, POA/FOS Technical Report 2002-01, STECF Rosa, M. R., Alexov, A., Bristow, P. D., & Kerber, F. 2002b, Physical Model FOS Dispersion Relations, POA/FOS Technical Report 2002-04, STECF Rosa, M. R., Kerber, F., & Keyes, C. D. 1998, Zero-Points of FOS Wavelength Scales, CAL/FOS-149, (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Accuracy and Precision of Measuring Emission Line Velocities with the Space Telescope Imaging Spectrograph Thomas R. Ayres University of Colorado (CASA), Boulder, CO, 80309 Abstract. I describe some of the issues connected with measurements of emission line velocities in STIS spectra, primarily in the key E140M band. These issues are important not only in studies of the magnetodynamics of stellar outer atmospheres, but also to gain insight into ways of bootstrapping calibrations onto solar FUV instruments, which typically have avoided internal wavecal lamps (like those flown in all of the HST spectrometers) in favor of using in situ spectral ”standards” (such as the average velocity of weak chromospheric emission lines to set the zero point offset). I address the issue of accuracy by comparing apparent emission line radial velocities, as measured by STIS in the FUV, with high-quality optical measurements of photospheric spectra, for a large sample of late-type stars. I address the issue of precision by conducting a series of numerical experiments to simulate Gaussian line fitting in the presence of Poisson noise. I also discuss generalization of these principles to the next generation HST spectrometer, the Cosmic Origins Spectrograph. 1. Introduction I discuss some of the issues connected with measuring emission line velocities in HST STIS spectra, focussing on the widely used E140M band (1150–1710 Å). These issues are important not only in studies of the magnetodynamics of late-type stellar outer atmospheres, but also to gain insight into ways of bootstrapping calibrations onto solar FUV instruments, which for cost reasons typically have avoided internal wavecal lamps (like those flown in all of the HST spectrometers) in favor of using in situ spectral “standards” (such as the average velocity of weak chromospheric emission lines) to set the zero point offset of the wavelength scale. I am conducting these studies as part of the development of an extensive catalog of STIS ultraviolet spectra of late-type (“cool”) stars: COOLCAT. Table 1. Star Name ζ Dor χ1 Ori κ Cet τ Cet ξ Boo A 2 Eri AU Mic AD Leo EV Lac STIS Velocities: DWARFs Sp Typ Lum Cl F7 V G0 V G5 V G8 V G8 V K2 V M0 V M3.5 V M3.5 V V (mag) +4.72 +4.41 +4.83 +3.50 +4.55 +3.73 +8.61 +9.43 +10.06 υrad ∆υ υSTIS −1 ←− (km s ) −→ + 0.5 ± 0.2 −2.0 +2.5 −15.6 ± 0.3 −13.5 −2.1 +18.4 ± 0.1 +19.9 −1.5 −17.1 ± 0.1 −16.4 −0.7 + 1.5 ± 0.2 +3.0 −1.5 +18.0 ± 0.2 +15.5 +2.5 − 4.4 ± 0.2 +1.2 −5.6 +12.6 ± 0.2 +10.8 +1.8 + 0.5 ± 0.6 −1.5 +2.0 < ∆υ > ± 1 σ = 171 −0.1 ± 2.1 NOTES dMe star dMe star dMe star dG + dK, only 172 Ayres Figure 1. Sample measurements, using a semi-autonomous Gaussian fitting algorithm, of selected C I emissions in an E140M spectrum of the K dwarf 2 Eridani. Table 2. Star Name υ Peg 31 Com 35 Cnc HR 9024 24 UMa µ Vel ι Cap β Cet α Boo α Tau α TrA β Aqr β Cam 2 Gem STIS Velocities: GIANTs and SUPERGIANTs Sp Typ Lum Cl F8 III G0 III G0 III G1 III G4 III G5 III G8 III K0 III K1.5 III K5 III K2 II G0 Ib G1 Ib G8 Ib V (mag) +4.40 +4.94 +6.58 +5.90 +4.57 +2.72 +4.30 +2.04 −0.04 +0.85 +1.92 +2.91 +4.03 +3.02 υrad ∆υ υSTIS ←− (km s−1 ) −→ − 6.2 ± 1.1 −11.1 +4.9 + 1.1 ± 1.8 −1.4 +2.5 +42.4 ± 2.3 +36.0 +6.4 − 2.6 ± 0.3 +0.7 −3.3 −26.8 ± 0.3 −27.2 +0.4 + 6.8 ± 0.3 +6.2 +0.6 +12.1 ± 0.2 +11.5 +0.6 +13.4 ± 0.2 +13.0 +0.4 − 4.3 ± 0.2 −5.2 +0.9 +54.2 ± 0.2 +54.3 −0.1 − 3.4 ± 0.3 −3.3 −0.1 + 7.1 ± 0.3 +6.5 +0.6 − 0.8 ± 0.6 −1.7 +0.9 + 6.8 ± 1.0 +9.9 −3.1 < ∆υ > ± 1 σ = +0.4 ± 0.4 NOTES high high high high υ sin i υ sin i υ sin i υ sin i broad-lined broad-lined broad-lined narrow-lined, only STIS Emission Line Velocities 173 Figure 2. Summary of velocity measurements in the sample. The target features all are narrow chromospheric lines. The solar-type star α Cen A shows that such features fall to better than 1 km s−1 of the expected stellar radial velocity (in this case based on the well-determined orbit of the α Cen system). 2. Accuracy I addressed the issue of accuracy by comparing apparent emission line velocities, as measured by STIS in the FUV, with optical determinations of radial velocities, for a sample of nearly thirty late-type stars. Figure 1 depicts the semi-autonomous measuring procedure for a group of C I lines in a representative K-type dwarf. Figure 2 summarizes average emissionline velocities of the targets, based on selected narrow low-excitation chromospheric emission lines, ostensibly free of blends and optical depth effects. Tables 1 and 2 compare the STIS velocities (±1 s.e. [standard error] of the mean) with υrad s from SIMBAD (the radial velocity material, unfortunately, is somewhat inhomogeneous) for the two dozen or so single (or wide binary) stars of the sample. The absolute velocity accuracy of a typical STIS pointing on a bright late-type star, based on the standard deviations, appears to be better than ±2 km s−1 , with an uncertain contribution due to the optical υrad s themselves. 174 Ayres Figure 3. Simulation of Gaussian fitting process for emission features governed by photon statistics (on a negligible background, in this case). The distribution functions (lower three panels) were obtained from the results of 105 , or so, trials at each of several S/N levels (top panel illustrates representative line profiles). “x” is the wavelength displacement in pixels, and “stn100 ” is a measure of the S/N relative to the N = 100 counts case. The “normalized” quantities on the abscissa allow a scale-independent comparison of the distribution functions for different FWHM cases. Here, a FWHM= 2 pix simulation is shown. The dot-dashed horizontal lines mark the probability of a (two-sided) 1 σ deviation. The lower horizontal lines indicate 2 σ (darker) and 3 σ (lighter) deviations. STIS Emission Line Velocities 3. 175 Precision I addressed the issue of precision by examining the internal consistency of the emission line measurements within the spectrum of a given star: see, again, Figures 1 and 2, Tables 1 and 2. The internal consistency of line positions appears to be extremely good, limited largely by the photon statistics of the measurements themselves. I routinely am seeing sub-km s−1 standard deviations in typical cool star emission spectra. These two exercises rely upon reasonable assessments of the errors incurred in fitting narrow emission lines with, say, a least-squares Gaussian algorithm. I have re-examined this question by conducting a series of numerical experiments to simulate Gaussian line fitting in the presence of Poisson noise: see Figure 3. These simulations lead to a series of scaling laws to describe estimated 1 σ , 2 σ, and 3 σ two-sided confidence intervals for the key Gaussian parameters—centroid wavelength λ0 , full-width at half maximum intensity FWHM, and integrated line flux fL —as a function of the S/N of the flux measurement (i.e., √ N for counting statistics). Complete results will appear in a future publication. Acknowledgments. Supported by HST archive research grant AR–09550.01–A. 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Modelling Charge Transfer on the STIS CCD P. Bristow, A. Alexov, F. Kerber and M. Rosa Space Telescope European Co-ordinating Facility, ESO, Karl-Schwarzschild-Str. 2, D-85748, Garching bei München Abstract. The Calibration Enhancement effort for the Space Telescope Imaging Spectrograph (STIS) aims to improve data calibration via the application of physical modelling techniques. We describe here a model of the Charge Transfer process during read-out of modern Charge Coupled Devices, and its application to data from STIS. The model draws upon previous investigations of this process and, in particular, the trapping and emission model developed by Robert Philbrick of Ball Aerospace. Early comparison to calibration data is encouraging. Essentially, a physical description of the STIS CCD combined with the physics of known defects in the silicon lattice expected to arise in a hostile radiation environment, is enough to yield results which approximately match real data. Uncertainties remain, however, in the details of the model and the physical description of STIS. 1. Introduction The STIS CCD is known to have a steadily declining Charge Transfer Efficiency, CTE, which is normal for a CCD in a hostile radiation environment (Cawley et al. 2001). Consequently, charge is lost or deferred as it is read out to the on-chip amplifier from the pixel where it was collected during the exposure. The CCDs in HST instruments represent a rather unusual problem: • HST orbits in a hostile radiation environment • By contrast, ground based astronomical CCDs are not subject to bombardment from high energy radiation • Expensive servicing mission are required to replace HST hardware • CCDs used in medical imaging, X-ray crystallography, etc., can be replaced at relatively low cost when they degrade • HST continues to acquire data from its CCDs which is, in all other senses, of the highest quality. • Few other space based missions have enjoyed this longevity Consequently, the HST CCDs provide an incentive for an accurate correction of CCD readout effects which does not arise in other CCD applications. The simplest correction applicable to data suffering significant effects of poor CTE is to apply an empirically derived function relating pixel position, epoch and signal level to lost charge (Goudfrooij 2002). However, in reality charge trapping and deferral lead to more complex effects which can only be well understood by considering the transfer of charge through each pixel and potential trapping site. We discuss here an attempt to model the transfer of every electron through every pixel electrode on the STIS CCD during read out. 176 Modelling Charge Transfer on the STIS CCD 2. 177 The Model The model began as a “toy model” to help us understand the processes involved. Encouraged by the ease with which CTE phenomena were qualitatively reproduced by this model, we sought to replace our initial ad-hoc trapping and emission simulation with a more accurate representation of the physical processes involved. We were greatly assisted in this by Rob Philbrick of Ball Aerospace who had developed such a model for the Kepler mission, which will use similar CCDs to STIS (though provided by STA and E2V Technologies). Indeed Philbrick used STIS calibration data in his testing. This provided us with an emission and trapping model derived from the physics of known bulk state traps. This modelling approach is by no means unique, however we bring together a number of features: • Emission and capture is via the known bulk state traps summarized in the table: Name/Description P-V (Si-E)/Phosphorus Vacancy Complex O-V (Si-A)/Oxygen Vacancy complex V-V/Divacancy Energy (MeV) 0.44 0.168 0.3 Capture Timescale τcn (µs) at -83◦ C 0.65 0.91 0.91 Emission Timescale τcn (µs) at -83◦ C 1.3E+06 0.065 80 • The density of the traps is determined from the estimated Non-ionizing Energy Loss (NIEL) experienced by STIS appropriate for the length of time on orbit (Philbrick 2001, Robbins 2000). • Time scales for tapping and emission for each trap type are related to their energy levels and the operating temperature. • The state of all traps is tracked throughout the readout simulation. The initial distribution on the chip may be specified. • The charge loss for each transfer is a function of the charge packet and the instantaneous state of the traps. There is no assumption of constant fractional charge loss. • Electrons are treated as indivisible entities and capture and emission is modelled in a Monte-Carlo fashion (e.g., there is no floating point averaging assumption). • Transfer of charge packets between every electrode is modelled. • Output includes fits images of CTE degraded data, difference images and statistics of the capture and emission history of traps under every electrode. • Other detectors suffering poor CTE may be modelled simply by specifying appropriate CCD parameters. The implementation of these features is described in detail in Bristow & Alexov (2002). 3. Early Results The Sparse Field technique makes use of the ability of the STIS CCD to read out to registers on opposite sides of the array. A sequence of nominally identical exposures is taken, alternating the readout between the registers. The observed differences between the results obtained from the two registers can be fit to a simple CTE model. Calibration data have been obtained at STScI for two tests based upon this idea. 178 Bristow, et al. The internal sparse field test uses slit images from a flat field lamp placed at various positions across the detector and read out through opposite registers (below these are the registers corresponding to the B amplifier and D amplifier). The ratio of the line of the signal readout from the slit image from the two amplifiers allows the calculation of the CTE (Kimble et al. 2001). The external sparse field test makes use of exposures of the outer regions of globular clusters, once again read out through opposite registers. We take advantage of the plentiful internal sparse field data available from the STIS archive. These datasets contain slit images of varying intensity and varying distances from the amp used for readout. We choose a dataset in which the slit image is very close to the readout register so that CTE effects are likely to be small. This assumption is not critical; all that matters is that we have a slit image to use as our reference. If it has some small distortion to its shape due to real CTE effects this will be effectively divided out in the analysis below. We then use this as our input slit image and simulate the read out as if this line was placed at varying distances from the register. The background is also that from the real data. In this way we are able to produce plots equivalent to those of Kimble et al. (2000). To B , we divide the calculate Kimble et al.’s “Amplifier B signal ÷ Amplifier D signal,” Dsignal signal signal from a read out over y rows by another from a read out over 1024 − y rows. Of course our results will necessarily have the property Bsignal Dsignal Bsignal Dsignal (y) = Bsignal Dsignal (1024 − y) −1 and in (y = 512) = 1.0. Here, y is the number of rows from the slit image to the particular register of the B amplifier. Indeed, deviations from this in the real results indicate either non-uniformity in the trap distribution or a difference in behavior of the readout amps. Figure 1 top and bottom show our results plotted along with Kimble et al.’s Figures 5a and c respectively. For the lower signal level (top) the agreement is not bad for higher values of y, especially given that the loss over 512 rows is almost identical. As discussed above, the data points for y = 512 and below from Kimble et al. are anomalous. Also in good agreement is the centroid shift for this data, measured at 0.38 pixels in the simulation results compared to ∼ 0.35 (read from Figure 6b of Kimble et al.) for the real data. For the higher signal level (bottom) the simulation results appear to underestimate the effect of degraded CTE. The centroid shift in the simulation output is also about 40% lower than in the real data. We have not chosen to include error bars in the simulated results. This is because uncertainty arises, at least in part, from the validity of the model itself, which is difficult to quantify and in any case this is what we are trying to ascertain with this test. Uncertainty also stems from the physical parameters of the STIS CCD. If this uncertainty was represented by error bars then the dominant contribution would come from our lack of knowledge of the exact dimensions and effectiveness of the STIS mini-channel (this is discussed in somewhat more detail by Bristow & Alexov 2000). A more accurate fit to the real data is always possible by arbitrarily fixing trap densities and trapping and emission constants, but we have plotted the values for the theoretical values of these parameters only. 4. Conclusions We have developed a simulation of the CCD read out process that attempts to reproduce quantitatively the effects of poor CTE in realistic astronomical data. This approach is by no means unique, but we attempt to build upon recent progress in the understanding of the underlying processes. The simulation has been customized to the STIS CCD, but is, in principle, portable to other space based instruments. Moreover, the model is adaptable to differing operating conditions, illumination patterns and levels of radiation damage. Modelling Charge Transfer on the STIS CCD 179 2 1.5 1 Calibration Data CTE Model Low Signal 0.5 0 200 400 600 800 1000 800 1000 Rows from Amp B 1.05 1 Calibration Data CTE Model High Signal 0.95 0 200 400 600 Rows from Amp B Figure 1. Top: Signal per column for 60e- (cf. Kimble et al. 2000, Figure 5a). Bottom: Signal per column for 3400e- (cf. Kimble et al. 2000, Figure 5c) The simulation gives an insight into the processes involved and serves as a useful tool for better understanding CTE. It reproduces qualitatively, known degraded CTE phenomena. Preliminary quantitative results are encouraging. Without any empirical tweaking of the models physical parameters we are able to get an approximate match to various values of CTE measured in orbit. These comparisons now need to be extended to a wider range of data, CTE measurement techniques and radiation damage levels. Simultaneously we intend to improve the physical model by reducing the uncertainty in some parameters and better understanding some processes. It will be interesting to see if this brings the results into closer agreement with the data. Acknowledgments. We would like to thank Rob Philbrick for taking the time to answer our many questions in great detail and Paul Goudfrooij for useful comments. References Bristow, P. & Alexov 2002, Instrument Science Report: CE-STIS-2002-01 (http://www.stecf.org/poa/pdf/ccd sim isr2.pdf) Cawley, L., Goudfrooij, P., & Whitmore, B. 2001, Instrument Science Report WFC3 2001-05 (Baltimore: STScI) Goudfrooij, P. 2002, STIS Instrument Science Report No. TBD, STScI, in preparation. Kimble, R. A., Goudfrooij, P., & Gilliland, R. L., 2000, in Proc. SPIE Vol. 4013, 532 Philbrick, R. H. 2001, Modelling the Impact of Pre-flushing on CTE in Proton Irradiated CCD-based Detectors, Ball Aerospace & Technologies Corp. Robbins, M. 2000, The Radiation Damage Performance of Marconi CCDs? Marconi Applied Technologies, Technical Note: S&C906/424, 17 Feb 2000 (available on request) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. STIS Status after the Switch to Side 2 Thomas M. Brown and James E. Davies Space Telescope Science Institute, Baltimore, MD 21218 Abstract. Since July 2001, STIS has been operating on its secondary (Side-2) electronics, due to the failure of the primary (Side-1) system. The change to Side 2 has required new calibration work. The dark rate of the STIS CCD varies since the switch to Side 2, as it depends on the temperature of the CCD (which cannot be regulated precisely using Side-2 electronics). We find that the dark rate is a linear function of the housing temperature for pixels at a given dark rate, but the slope of this relation varies for pixels with different dark rates. Scaling of the darks as a function of the temperature has been incorporated into the STIS pipeline. An additional feature of the switch to Side-2 is that the STIS CCD read noise has increased by 1 e− sec−1 for all four amplifiers when using a gain of 1. This increased read noise is due to electronic pick-up pattern noise (on Side 1 the noise was primarily white noise). Although an algorithm exists for filtering this additional pattern noise, it will not be incorporated into the STIS pipeline. 1. Introduction The Space Telescope Imaging Spectrograph (STIS) was launched in 1997 with two sets of redundant electronics, but a unique set of detectors. The sets of electronics are referred to as “Side 1” and “Side 2.” STIS ran on its Side-1 electronics until May of 2001, at which point the instrument safed due to catastrophic failure of these electronics. After an extended period of testing, it was determined that the Side-1 electronics were unrecoverable; they are also not designed for repair during the servicing missions. Thus, STIS operations were resumed with the Side-2 electronics in July of 2001. STIS performance did not change significantly in the switch from Side 1 to Side 2, except that the CCD read noise has moderately increased, and the loss of CCD temperature control produces a variable dark rate. We summarize these changes here; they are discussed more fully by Brown (2001a, 2001b). 2. Dark Rate Variations with Temperature On Side 1, a temperature sensor mounted on the CCD carrier provided closed-loop control of the current provided to the thermoelectric cooler (TEC), thus ensuring a stable detector temperature at the commanded set point (−83o C). Side 2 does not have a functioning temperature sensor, so the TEC is run at a constant current. Thus, under Side-2 operations, the CCD temperature varies with that of the spacecraft environment. Although no sensor is available to measure the temperature of the CCD itself, there is a sensor for the CCD housing temperature, which should track closely with the detector temperature under Side-2 operations (but not for Side-1). This housing temperature is reported in STIS CCD science headers under the keyword OCCDHTAV; note that it is far hotter than the detector itself (the housing is typically near 18o C while the detector runs near −83o C). 180 Rate relative to rate at 18oC STIS Status after the Switch to Side 2 181 1.2 log(rate) =−2.50 log(rate) =−2.25 log(rate) =−2.00 log(rate) =−1.75 log(rate) =−1.50 1.1 1.0 0.9 slope =0.047 slope =0.056 slope =0.074 slope =0.087 slope =0.088 1.2 log(rate) =−1.25 log(rate) =−1.00 log(rate) =−0.75 log(rate) =−0.50 log(rate) =−0.25 1.1 1.0 0.9 slope =0.086 slope =0.080 slope =0.075 slope =0.072 slope =0.068 1.2 log(rate) = 0.00 log(rate) = 0.25 log(rate) = 0.50 log(rate) = 0.75 log(rate) = 1.00 1.1 1.0 0.9 slope =0.063 slope =0.062 slope =0.059 slope =0.057 slope =0.055 16 17 18 19 16 17 18 19 16 17 18 19 o 16 17 18 19 16 17 18 19 CCD Housing Temperature ( C) Figure 1. The change in dark rate with temperature, for pixels at different rates. The change in dark rate is linear for pixels at a given rate, but the slope of this linear relation depends on the rate in question. Because the dark rate for the STIS CCD is strongly temperature dependent, the dark rate is now much more variable in CCD observations (compared to observations on Side-1). The relation is linear for pixels at a given dark rate (Figure 1), but the increase with temperature varies from ∼ 5%–9% for every o C, depending upon the rate of a particular pixel. Pixels with low dark rates will vary by ∼ 5% per o C, pixels with moderately high dark rates will vary by ∼ 9% per o C, and the pixels with the highest dark rates will vary by ∼ 6% per o C. This variable dark rate presents a problem for calibration, as the temperature can vary between one science exposure and the next, and between one dark exposure and the next. For accurate subtraction of the dark current, the temperature dependence of the dark rate must be included in the pipeline processing of the raw data. To this end, a new header keyword OCCDHTAV giving the CCD housing temperature has been added to the STIS science headers. A simplified scheme that assumes a dark rate variation of 7% per o C for all pixels has been implemented into the STSDAS calstis software and the archive On The Fly Reprocessing (OTFR) software. Calibration dark files are created so that they reproduce the dark at a housing temperature of 18o C, and then are scaled up or down to match the temperature of a given science frame prior to dark subtraction. The new dark subtraction algorithm for processing Side-2 CCD data came into use in January 2002. Note that more complicated schemes for subtracting the dark current (which use the pixel-to-pixel variation in dark rate with temperature) show little improvement over this simplified scheme, mainly due to the poor statistics in characterizing individual pixels in a given time period. Side-1 data retrieved from the archive should have a negative value for OCCDHTAV (indicating to the software that it should not be used for scaling the dark subtraction). Unfortunately, when the temperature-dependent dark subtraction was implemented, a bug in the software used only the year of the observations to determine if the data were taken on Side 1 or Side 2, and thus the first 5 months of 2001 were treated as Side-2 data and given a positive (and meaningless) OCCDHTAV value. This bug was fixed with the archive software update of September 2002. Thus, any observations taken from January to May in 2001, but retrieved from the archive in January to August of 2002, will have an incorrect dark subtraction, and should be re-retrieved from the archive with OTFR. 3. Increased Read Noise CCD data taken using Side 2 show an increase in effective read noise of approximately 1 e− pix−1 for gain = 1 and 0.2 e− pix−1 for gain = 4. This elevated read noise manifests 182 Brown & Davies section of bias frame on Side 2 Power spectrum of bias frame 580 0.4 0.3 Magnitude y pixel 560 540 520 0.2 0.1 500 480 260 280 300 320 x pixel 340 0.0 16.0 16.2 16.4 16.6 16.8 Frequency (kHz) 17.0 Figure 2. Left panel: A section of a raw CCD bias frame. Notice the herringbone pattern noise. Right panel: A Fourier transform of the 1-D time series (as it was read out in the Side-2 electronics) of the same bias frame. There is a peak in the power spectrum at 16.65 kHz, which corresponds to a horizontal pattern with 2.73 pixel spacing on the CCD. itself as a herring-bone pattern that can be seen easily on a short exposure such as a raw bias frame (Figure 2). When the 2-D image is converted to a 1-D time series (using the timing intervals for clocking out the CCD), a Fourier transform of the series indicates that the read noise pattern is temporally correlated. In this example, there is a peak in the power spectrum at about 16.65 kHz. Pipeline-processed CCD data also show this pattern noise. In fact, the pattern noise is usually much more apparent in processed, cosmic-ray-rejected images than it is in the raw, unprocessed images. The frequency of the pattern noise is typically 15.5–18 kHz. There is a correlation between the pattern noise frequency and the CCD housing temperature, but the correlation is too loose to be useful for predicting the frequency accurately enough to assist with filtering (see below). Timing frequencies in this range correspond to a spatial frequency of approximately 3 pixels on the detector (horizontally, in the direction of serial clocking). STIS CCD images and spectral images can sometimes be filtered by interpolating the power spectrum to remove the peak from the pattern noise. We have provided an IDL script to analyze the pattern noise and attempt filtering, at ftp://ftp.stsci.edu/pub/instruments/stis/stisnoise.pro. This noise removal will not be added to the archive pipeline; the current procedure requires careful tuning of the filter position and width in Fourier space, which requires user interaction and evaluation of the results. Also, the filter often introduces undesirable artifacts into the data, which must be weighed against the advantages of filtering on a case-by-case basis. As the width of the filter is decreased, the artifacts decrease, but at some point some of the pattern noise escapes the filter (due to the frequency wandering across the image). The best filter width is typically about 20 Hz. Note that our software uses a fairly primitive filtering method; we would appreciate any feedback on superior filtering techniques that have been shown to work with the STIS pattern noise. Figures 3 and 4 show two examples of data filtered with the IDL routine provided: the crowded star field of 47 Tuc and the diffuse galaxy UGC 2847. These examples represent the two extremes encountered in filtering. Images crowded with point sources tend to suffer the most artifacts, while images with diffuse sources tend to filter well. Acknowledgments. We are grateful to L. Dressel, R. Allen, P. Goudfrooij, R. Kimble, and T. Gull for their insight and useful discussions. STIS Status after the Switch to Side 2 no filter 183 filter 16.40 − 16.44 khz y pixel 550 500 450 800 850 x pixel 900 800 850 x pixel 900 Figure 3. A crowded star field in 47 Tuc, before (left) and after (right) filtering. This is an example of data that cannot be filtered with the current algorithm. The power spectrum did not reveal the pattern noise frequency, and a narrow filter introduces artifacts around the bright stars. no filter filter 16401 − 16421 Hz y pixel 550 500 450 475 525 x pixel 575 475 525 x pixel 575 Figure 4. Left panel: An image section of UGC 2847. The pattern noise is very striking in this short exposure, and makes it difficult to see the galactic structure. Right panel: Application of a narrow filter completely removes the pattern noise without introducing artifacts. Filtering works best in sparse, faint, diffuse images. References Brown, T. M. 2001a, “Temperature Dependence of the STIS CCD Dark Rate During Side-2 Operations”, Instrument Science Report STIS 2001-03 (Baltimore: STScI) Brown, T. M. 2001b, “STIS CCD Read Noise During Side-2 Operations”, Instrument Science Report STIS 2001-05 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Optimal Extraction with Sub-sampled Line-Spread Functions Nicholas R. Collins1 Science Systems and Applications, Incorporated, 5900 Princess Garden Parkway, Suite 300, Lanham, MD 20706 Theodore Gull and Chuck Bowers NASA’s GSFC, Code 681, Greenbelt, MD 20771 Don Lindler1 Sigma Space Corporation, 9801 Greenbelt Road, Lanham, MD 20706 Abstract. STIS long-slit medium resolution spectra reduced in CALSTIS extendedsource mode with narrow extraction heights (GWIDTH = 3 pixels) show photometric uncertainties of ±3% relative to point-source extractions. These uncertainties are introduced through interpolation in the spectral image rectification processing stage, and are correlated with the number of pixel crossings the spectral profile core encounters in the spatial direction. The line-spread-function may be determined as a function of pixel crossingposition from calibration data sub-sampled in the spatial direction. This line spread function will be applied to science data to perform optimal extractions and pointsource de-blending. Wavelength and breathing effects will be studied. Viability of the method to de-convolve extended source “blobs” will be investigated. 1. Introduction In the course of analyzing rectified long-slit spectral observations of nebular targets such as η-Carinae, or of crowded stellar fields, it may be desirable to use a small spectral extraction height to avoid contamination from neighboring sources. Such extractions suffer from ±3% systematic uncertainties introduced by the interpolation step during the spectral image rectification. We investigate the viability of an optimal extraction procedure that uses the crossdispersion profile of the STIS long-slit data to improve the extraction of isolated sources and to de-blend neighboring sources. This work is in progress. To date, we have used a standard star cross-dispersion profile to perform an optimal extraction of the same and other isolated standard stars. We have tested the viability of de-blending point sources by creating a model data set with two point-source spectra of known intensity and relative position. Work remains to be done on improving the point-source de-blending solution and on extending the algorithm to handle resolved sources. Limitations of the method with respect to deriving a cross-dispersion profile from one observation to perform the optimal extraction of another observation include the MSM-repeatability and the focus changes induced by HST “breathing.” 1 NASA’s GSFC, Code 681, Greenbelt, MD 20771 184 Optimal Extraction with Sub-sampled Line-Spread Functions 2. 185 Observations The observations used in this analysis were obtained under proposal 8844, “Deep Spatial/Spectral PSF Calibration of STIS,” Charles Proffitt, principle investigator. We have used the subset of un-occulted, 52 × 0.2 long-slit medium resolution mode observations of the following stars: HD 181204 (M0, variable-irregular), HD 115617 (G5 V), HD 141653 (A2 IV), BD+75D325 (O5pvar). 3. The Pixel-Crossing Problem As a spectral image is converted to an extended source image, the interpolation introduces artifacts in the data. These artifacts are apparent at the ±3% level in spectral extractions that use extraction heights less than the number of pixel crossings. Figure 1 shows comparisons of 3-pixel extractions from spectral images rectified using three different interpolation methods (linear, quadratic, and cubic) against a standard pointsource extraction (no interpolation, extraction height = 7 pixels). The observed (unrectified) spectrum of HD 181204 (observation ID O68M03090) crosses 7.5 CCD rows. Note that the cubic and quadratic methods yield the same results at the ±1% level. The relative pixelcrossing positions are shown at the bottom. The cycles in that plot are clearly correlated with the variations in the ratio plots. The spectrum was sub-sampled by a factor of four in the cross-dispersion direction and by two in the dispersion direction. The grating used was G750M. 4. 4.1. Optimal Extraction Using the Cross-Dispersion Profile Long-Slit Cross-Dispersion Profile Derivation A cross-dispersion profile may be derived as a function of pixel-crossing position from a rectified, background-subtracted observation. The columns for a particular pixel-crossing cycle (see bottom plot in Figure 1) are extracted from a rectified spectrum. The signal to noise for each column in the cycle is increased by averaging it together with its two neighboring columns. For each end column, the average is performed with its neighboring inside column. A record of the relative pixel-crossing position for each column is made. If the cross-dispersion profile array contains artifacts, it is rejected and the procedure is repeated for a different pixel-crossing cycle. 4.2. Optimal Extraction Method The optimal extraction is performed column-by-column across the background-subtracted rectified spectral image. Each column in the observation is matched to a column in the cross-dispersion profile array by its pixel crossing value. Next, the relative offset between the profile and the data in the cross dispersion is determined (at this point manually). The optimal extraction algorithm described by Horne (1986) uses a linear regression method. The generalization of the single-source extraction to multiple-source extraction is made using the multiple linear regression method described by Bevington and Robinson (1992). y(xi ) = k (ak × fk (xi )) (1) m=1 where xi is a column element, y(xi ) is the fitted function at xi , m is the number of spectra to fit, fk is the cross-dispersion profile co-aligned with the kth spectrum, ak is the parameter of the fit, or the optimal extraction for the kth spectrum is the row of ak in each column (wavelength). 186 Collins, et al. Figure 1. Comparison of extended-source (3-pixel) and point-source (7-pixel) spectral extractions. Top to bottom: All extractions, extended-source (linear interpolation) vs. point-source, extended-source (quadratic interpolation) vs. pointsource, extended-source comparison (quadratic vs. linear interpolation), extendedsource comparison (cubic vs. quadratic), relative pixel position vs. wavelength. The row matrix a may be determined as follows: a = β × α−1 , where βk ≡ yi × fk (xi )] and αlk ≡ i [σi−2 × fl (xi ) × fk (xi )] 5. −2 i [σi × Optimal Extraction: Single Point-Source Results Figure 2 shows the optimal extraction result for observation O6M03090 (HD 181204) using a cross dispersion profile derived from observation O6M02080 (HD 115617). The top plot shows both the standard 7-pixel point-source extraction from the unrectified spectrum and the optimal extraction from the rectified (cubic interpolation) spectrum. The middle plot shows the ratio of the two extractions, and the bottom plot shows the relative rowpixel position. The cross-dispersion profile was created from the pixel-crossing cycle in the O6M02080 data between 6600 Å and 6700 Å. The overall residuals are very low (< 2%) with a ∼ 5% residual at the position of Hα 6563 Å absorption. Correcting for the 10% offset seen in the (middle) ratio plot would require deriving a sensitivity curve using the optimal extraction method. Using the cross-dispersion profile array from O6M02080 to perform an optimal extraction on the O6M02080 spectrum itself (not shown) also produces small residuals (except at Hα) but with a slight (∼ 2%) drop from the blue end to the red end of the spectrum. Deriving a profile array from O68M03090 for optimal extraction is not as successful, perhaps due to absorption features in the pixel crossing cycle between 6600 Å and 6700 Å, although no obvious artifacts are present in the profile array. When applying this array to Optimal Extraction with Sub-sampled Line-Spread Functions 187 Figure 2. Optimal extraction of observation O68M03090 using the crossdispersion profile array from observation 068M02080. the O68M03090 data itself, 2% column-to-column residuals are produced, and a overall 4% variation is observed from the blue to the red. Applying this profile array to O68M02080 produces 5% features in the residuals plot that correspond to the absorption features in O69M03090 between 6600 Å and 6700 Å. Also a 5% drop from the blue end of the spectrum to the red end is observed in the residuals. 6. 6.1. Application to Simulated Point-Source Data Creating the Simulated Blended Point-Source Spectra Two test data-sets were created to monitor the effectiveness of point-source de-blending. Both used the standard star spectrum from observation O68M03090. In each case the rectified, background-subtracted spectrum was shifted, scaled and added to itself to produce an artificial spectral image with two spectra. The fits to the test data sets were made using the second complete pixel-crossing cycle from the short wavelength end of observation O68M02080. The first test set used an offset of 5 pixels and a scale factor of 5. The second test set used an offset of 25 pixels and a scale factor of 7. 6.2. Simulated Data: Extraction/Deblending Results The extractions for both components of test data set 1 (5-pixel offset, scale factor=5) show large column-to-column residuals (∼ 5%) and much larger variations (∼ 20%) from the blue end of the spectrum to the red end when compared to the standard 7-pixel point-source extraction. The ratio plot of one component to the other has an average value of 2 with 20% variations. The average value should be 5, the input value of the scale factor for this test data set. The extractions for both components of test data set 2 (25-pixel offset, scale factor = 7) also show large column-to-column residuals (∼ 3%), but smaller variations across the whole spectrum. When compared to the standard point-source extraction, the residuals for the unscaled, unshifted component drop by 5% across the spectrum and show 2% features that are correlated with the relative pixel-crossing position. The scaled and shifted component 188 Collins, et al. residuals compared to the point source extraction is flat within the column-to-column 2% noise except for a 2% discontinuity coincident with the pixel-crossing cycle that begins on the blue side at ∼ 6600 Å, and a 2% variation coincident with the pixel crossing cycle at the red end of the spectrum (> 6900 Å). 7. Conclusions/Directions For isolated spectra, results comparable to the standard point-source extraction can be obtained using an optimal extraction method that relies upon the actual cross-dispersion profile instead of an analytic function. De-blending multiple spectra will clearly involve more work, particularly for very closely blended sources. More work remains to be done in verifying how robust the method is for handling isolated spectra, and in understanding how features in the spectrum, such as absorption and emission lines, affect the line-spreadfunction template. Future work will also include multiple source extractions of real data. References Bevington, P. R. and Robinson, D. K., 1992, “Data Reduction and Error Analysis for the Physical Sciences,” (New York: McGraw-Hill) Horne, K., 1986, PASP 98, 609 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Recent Improvements to STIS Pipeline Calibration Rosa I. Diaz-Miller, Jessica Kim Quijano, Jeff A. Valenti, Charles R. Proffitt, Kailash C. Sahu, Ralph C. Bohlin, Thomas M. Brown Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Don Lindler Computer Science Corporation, Inc. Abstract. In the last few months a number of improvements to the STIS pipeline calibration have been developed and implemented, which include the following. We have released new low order flat files for use with the G140L observations. These flats should reduce uncertainties of the extracted flux with position from 12% to 2%. To better reflect the change with time in the overall shape of the NUV MAMA dark current, new dark reference files were created for different epochs. To further improve the dark subtraction, these darks are also scaled using an improved algorithm, which takes into account long term changes in the behavior of the NUV MAMA dark current. Additional improvements which have been implemented are described in the posters by Stys et al., Valenti et al., Davies et al. and Lindler et al. Future improvements include background smoothing for low signal spectroscopic data, and updating the Pixel-to-Pixel flat library and the current CCD bad pixel table. 1. New Low Order Flat Image File for G140L As part of STIS calibration program 7937, observations of the spectrophotometric standard star GD 71 were taken at 20 different positions along the length of the 52×2 slit, and showed significant variation in sensitivity with position. These discrepancies in the extracted flux relative to a point source at the standard position are as large as 12%. To correct for this, new LFLATs (lfl files) were prepared using the 7937 observations. Use of these new lfl files should reduce these discrepancies to 2% or less, except when the spectrum falls across the shadow of the FUV MAMA’s repeller wire. Prior to March 15, 1999, G140L spectra were shifted 3 above the repeller wire, while after this date the default position was changed to 3 below the repeller wire. Different sensitivity calibrations are applied before and after this date to correct for the differences between the two positions. One new lfl file was prepared for each of these epochs and normalized to unity near the appropriate standard extraction position. Figure 1 (left) shows the ratio of the extracted count rates from the 7937 observations of GD 71 to a reference spectrum, both with and without the application of this new LFLAT. The same star was also observed at a more limited number of positions as part of program 7097. The 7097 data were not used to constrain the LFLAT, and while the scatter is larger than for the 7937 data, the improvement is still significant (Figure 1, right). 189 190 Diaz-Miller, et al. Figure 1. Count rate comparison after using new G140L LFLAT (solid lines) and without it (dashed lines). GD 71 observations: program 7930 (left) and program 7097 (right). 2. New MAMA Dark Reference Files The NUV MAMA dark current is dominated by phosphorescence from impurities in the detector window. Cosmic rays excite electrons in these impurities into metastable states, which can be collisionally excited to unstable states that then decay by emitting UV photons. This process can be modeled by the equation: rate = constant ∗ number of excited states ∗ exp(−δE/kT) (1) In addition to the variations in the overall level of the dark current which have been discussed elsewhere (Ferguson & Baum 1999), there has been a subtle change over time in the relative intensities of this dark current at different places on the NUV MAMA detector. To better reflect this change in the overall shape of the NUV MAMA dark, four new dark files were created; each intended for use with NUV MAMA data during a given time period. On the other hand, the original NUV dark scaling formula used in the pipeline assumed that the number of excited states could be well approximated by a constant value, and adopted fixed coefficients for this formula. However, long term changes in the mean operating temperature of the detector can significantly change the equilibrium population of excited states. In addition, it is observed that the dark current at the lowest detector temperatures does not drop as low as the original formula would predict. This may indicate that there are other sources of dark current with different time scales and thermal characteristics. To better model the dark current, formula (1) was changed to allow the overall normalization to vary slowly over time to represent the long term evolution of the number of excited metastable states, and to impose a lower limit to the temperature used in this formula. This minimum temperature was also allowed to vary with time. These coefficients, as well as other coefficients in the equation which are currently left fixed, are read into Calstis from the TDC table, a new STIS reference file type, which contains the adopted coefficients as a function of time. Dark monitor observations were used to calibrate these coefficients, and it was found that using the modified formula substantially reduces the discrepancy between observed and predicted rates. The NUV dark current predicted by the revised formula should be within 5% of the correct value about 85% percent of the time, and within 10% about 95% Recent Improvements to STIS Pipeline Calibration 191 Figure 2. Comparison observed and predicted NUV-MAMA dark rate using the old (top) and the new (bottom) NUV dark scaling formula. of the time (see Figure 2). To maintain this accuracy as the mean thermal condition of the detector changes, periodic updates to the TDC table will be necessary. 3. Smoothing the Background in STIS Spectroscopic Data For low signal data, it is advantageous to smooth the background since such a smoothing can decrease the background noise level, and hence improve the quality of the results. In addition to the smoothing that is currently being done in the pipeline in the cross-dispersion direction, we are implementing additional smoothing in the dispersion direction by fitting a polynomial of order 3 to the background. In this procedure, we exclude the region occupied by the geo-coronal lines in the fit (in the UV-region), and for these regions use the simple row-averaged background instead. Figure 4 shows the results before and after the background smoothing algorithm is applied: the results are slightly better after the smoothing. The figure at the bottom shows the ratio of the flux before and after smoothing, which is close to 1 as expected. 4. Updating the Pixel-to-Pixel Flat Library We have created new p-flats (pixel-to-pixel, high-frequency flats) for the STIS MAMAs. These p-flats combine the data from four years of lamp exposures to achieve a signal-tonoise ratio of 200 per low-resolution pixel (compared with a signal-to-noise ratio of 100 in the extant p-flats). Details on the creation of these P-flats can be found in Brown & Davies (2002). 192 Diaz-Miller, et al. Figure 3. Top: Spectrum before and after the background smoothing. Bottom: Ratio of the flux before and after smoothing. 5. MAMA Bad Pixel Table The MAMA bad pixel mask (in the Data Quality extension) will be updated to reflect the true occulted regions on each detector (notably the horizontal repeller shadow across the middle of the far-UV detector and the corners of the near-UV detector). Currently, the DQ extension reflects the bad pixels in the G140M and G230M modes, which is not appropriate for the other spectroscopic and imaging modes. Furthermore, the bad pixel mask changes somewhat with time due to changes in the Mode Select Mechanism position over the course of the mission. Thus, the new Data Quality flags will be mode- and time-dependent. References Brown, T. M. & Davies, J. E. 2002, Technical Instrument Report STIS 2002-03 (Baltimore: STScI) Ferguson, H. & Baum, S. 1999, Instrument Science Report STIS 99-02 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Autofilet.pro: An Improved Method for Automated Removal of Herring-bone Pattern Noise from CCD Data Rolf A. Jansen Arizona State University, Dept. of Physics & Astronomy, Tempe, AZ 85287-1504 Nicholas Collins SSAI, Raytheon Rogier A. Windhorst Arizona State University, Dept. of Physics & Astronomy, Tempe, AZ 85287-1504 Abstract. We present an improved method for the automatic removal of the highly variable pattern-noise that was introduced in HST /STIS CCD data when it was switched to its redundant (“Side-2”) electronics in July 2001. While mainly a cosmetic nuisance for work on bright objects, this “herring-bone” noise severely limits the sensitivity at optical wavelengths for projects that aim to push STIS to its design limits. We build on the Fourier filtering technique described by Brown (2001) and present a method to automatically find and remove the power associated with the noise patterns in frequency space, while avoiding the introduction of ringing (aliasing) around genuine astronomical signal—in particular around stellar images, spectroscopic (emission) lines, and cosmic ray hits. We implement this method as an IDL procedure and show several applications. Details of the method will be discussed in Jansen et al. 2003. 1. Introduction After STIS operations were resumed in July 2001 using the redundant “Side-2” electronics (following the failure of the primary electronics on May 16, 2001), the read-noise of the CCD detector had noticeably increased due to a superposed and variable “herring-bone” pattern-noise. For most work the pattern will be a mere nuisance, but projects aiming to detect signals so faint as to push STIS to its design limits will be severely affected. One such project of interest to the authors is program #9066, which aims to detect the exceedingly faint spectroscopic signal left behind in the general extragalactic background due to the reionization of Hydrogen at z ≥ 6 (e.g., Baltz, Gnedin, & Silk 1998) using deep STIS/CCD parallel exposures. In order for this program to be successful, we needed to develop a reliable automated method for removal of the pattern-noise. Brown (2001) presented a method to filter the pattern noise by noting that the sequential charge shift and read-out allows one to convert a CCD image into a time-series. That time-series may be Fourier transformed to the frequency domain, where the frequencies responsible for the noise pattern may be suppressed via various methods. His method works well in images where few bright and/or spatially very concentrated (sharp) features are present, but requires manual definition of the frequency limits of the filter. If the filter is chosen too wide, or if many genuine high-frequency non-periodic signals (e.g., stars, spectral lines, cosmic ray events) are present, ringing may occur (see, e.g., Brown 2001, his Figures 1b and 6b). Here we present a method that builds on the work by Brown (2001) and which mitigates both these issues. 193 194 2. Jansen, et al. Strategy The problem of automatically and robustly finding the frequencies that correspond to the herring-bone pattern is greatly reduced if we first model and subtract the genuine science signal. The residuals image, ideally, only contains shot-noise, read-noise and the herringbone pattern. In practice, there are systematic residuals of genuine features in the data as well, but the contrast of the herring-bone pattern is much higher than in the original science image. This means that in the frequency domain we will be able to blindly run a peak finding routine with much relaxed constraints on the frequency interval (or alternatively on much poorer data—e.g., very long spectroscopic exposures that are riddled with cosmic ray hits) and still correctly find, fit, and filter out the pattern frequencies. Also, since most of the genuine signal has been removed prior to constructing the power spectrum, the problem of ringing has effectively been avoided. Second, instead of setting the power at all frequencies corresponding to the noisepattern to zero, or suppressing it using a multiplicative windowing function, we opt to substitute the power at the affected frequencies by white noise at a level and amplitude that matches the “background” power in two intervals that bracket the affected frequencies. This is less likely to introduce artefacts due to the absence of power at frequencies that should have some, or aliasing that may result when many adjacent frequencies have the same power. The resulting modified power spectrum may be inverse Fourier transformed and converted to a 2-D image, which by adding back in the fitted “data model” produces a patternsubtracted science frame. 3. Autofilet.pro—Getting Rid of them Herring Bones The optimized Fourier filtering method briefly outlined above was implemented in an IDL procedure, Autofilet.pro, available from the authors. Details of the routine and results of its application will be presented elsewhere (Jansen et al. 2003). Two real-valued (32bits per pixel) FITS format images are output for every science extension in a raw FITS image (usually 16-bits per pixel), one containing only the herring-bone pattern, the other containing the pattern-subtracted science image. To remove the herring-bone pattern from a science image that is part of a multi-layer image set (e.g., [SCI,ERR,DQ] for STIS CCD data), the herring-bone image may simply be subtracted from the appropriate science extension, as long as both the arithmetic and the output pixel format are real-valued. An example clarifying the procedure and results is given in Figures 1 and 2. Although written for the removal of the variable pattern-noise in HST /STIS CCD data taken after July 2001, Autofilet contains place holders for adaptation to CCD data from other telescopes and instruments that display similar pick-up noise. Acknowledgments. The data shown are from HST parallel program #9066, “Closing in on the Hydrogen Reionization Edge of the Universe at z < 7.2 with Deep STIS/CCD Parallels,” which aims to detect a signal so faint that it necessitated the project on which we report here. We acknowledge support from NASA grants GO-08260.* and GO-09066.*. We thank Bruce Woodgate for getting us started. We would not have had the same success without the work by Thomas M. Brown. References Baltz, E. A., Gnedin, N. Y., & Silk, J. 1998, ApJ, 493, L1 Brown, T. M. 2001, Instrument Science Report STIS 2001-005 (Baltimore: STScI) Jansen, R. A., Collins, N., & Windhorst, R. A. 2003, PASP (in prep.) Automated Removal of Pattern Noise from CCD Data Figure 1. (a) Section of a raw CCD bias frame (‘o6dc9b040’), taken with HST /STIS on 2001 July 23, after operation of STIS had been resumed with its redundant (“Side-2”) electronics. This section displays different features: a herring-bone noise pattern is seen, as well as several (vertical) columns where the bias level and noise differ slightly from the mean, and three regions affected by cosmic ray hits; (b) a model of the image section shown in (a) containing most of the signal (as fitted to the image lines and columns) and also all pixels deviating from the mean by more than 3 σ or by more than 0.5 σ when adjacent to pixels deviating more than 3 σ. The difference of the original image section and this model, i.e., the residuals image, is converted to a time-series and Fourier transformed to frequency space; (c) image of the herring-bone pattern inferred from the peak in the power spectrum of the residuals image (see also Figure 2). We fit the center and width of that peak, and replace all signal in the Fourier transformed time-series within ±3 σ of the peak by white noise matching the noise in the two intervals located 4–7 σ away from the peak. The result is inverse Fourier transformed and converted back into a 2-D image. The resulting pattern-subtracted bias image is shown in (d ). The remaining noise closely resembles white noise with rms ∼4.2 e− . Note that there is no “ringing” around the bright regions affected by cosmic ray hits. 195 196 Jansen, et al. Figure 2. (a) Portion of the power spectrum centered on the frequencies responsible for the herring-bone pattern in the BIAS frame displayed in Figure 1(a). The power spectrum is generated by first converting the 2-D residuals image [Figure 1(a) minus Figure 1(b)] into a time-series followed by Fourier transformation of that time-series. After finding the peak frequency (for this image 16.155 kHz), an estimate of the width of the peak is obtained by fitting a Gaussian function to the power spectrum. The finite width of the peak results from the (erratic) drift in frequency of the noise pattern during the time it takes to read the CCD. All power within ±3 σ of the peak frequency (solid, blue, vertical lines) is then replaced by white noise that matches the noise in the two bracketing regions in frequency located 4–7 σ away from the peak (dotted, blue, vertical lines). The resulting modified power spectrum is inverse Fourier transformed and converted to a 2-D image, which by adding back in the fitted “data model” [Figure 1(b)] produces the pattern-subtracted bias frame [Figure 1(d )]. (b) Distribution of pixel values in the raw BIAS frame of Figure 1(a) (dotted, green) and in the pattern subtracted BIAS frame of Figure 1(d ) (solid, red ). Whereas the noise in the raw BIAS frame is distinctly non-Gaussian near the mean pixel value and has a σ ∼ 5.5 e− , after subtraction of the inferred herring-bone pattern of Figure 1(c) the noise is well described by random Gaussian noise with a standard deviation σ = 4.20 e− . Autofilet therefore successfully reproduces—perhaps even slightly improves upon—the nominal “Side-1” CCD read noise observed prior to July 2001. The √ inferred amplitude−of the herring-bone pattern (assuming Gaussian statistics) is 5.52 − 4.22 ∼ 3.6 e . 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Removing Fringes from STIS Slitless Spectra and WFC3 CCD Images E. M. Malumuth,1 R. S. Hill,1 T. Gull, B. E. Woodgate, C. W. Bowers, R. A. Kimble, D. Lindler,2 R. J. Hill,1 E. S. Cheng, D. A. Cottingham,3 Y. Wen,1 and S. D. Johnson3 Laboratory for Astronomy and Solar Physics, Code 681, NASA’s Goddard Space Flight Center, Greenbelt, MD 20771 Abstract. We have developed a model that allows us to defringe slitless 2-dimensional spectra taken with the Space Telescope Imaging Spectrograph (STIS). An IDL tool has been developed which allows the user to defringe any spectrum obtained with the G750L grating on STIS. This technique has been employed to model the fringing on Wide Field Camera 3 (WFC3) flight candidate CCDs. 1. Introduction Interference fringes are an annoying fact of life for many astronomical CCD detectors; the Space Telescope Imaging Spectrograph (STIS) and Wide Field Camera 3 (WFC3) CCDs are no exception. Fringes are caused by the interference of the incident and internally reflected beams within the thin layers of the CCD. The interference can be constructive or destructive within the CCD detection layer, leading to strong variations of the detection efficiency as a function of wavelength and local CCD thickness. Fringing is not significant at wavelengths below ∼ 7000 Å where the absorption path length in silicon is less than the thickness of the CCD detection layer, but it becomes a serious issue at near-infrared wavelengths. As reported previously (Malumuth et al. 2000, Malumuth et al. 2002), STIS CCD fringing can be modeled as an instance of multilayer thin-film interference using the Fresnel equations and the formalism of Windt (1998). The modeling requires a detailed knowledge of the CCD’s physical structure (i.e., how many and what materials make up the stack). We then solve for the physical parameters (thickness and interfacial roughness) of each layer for each pixel. For the STIS CCD, we found that we could keep all of the parameters constant except for the thickness of the detection layer of the CCD. In this paper we concentrate on how to use the results of the model fitting to defringe STIS slitless spectra. We also show that the same formalism and data obtained in the Goddard Space Flight Center’s (GSFC) Detector characterization Laboratory (DCL) is being used to model the fringing of the WFC3 flight candidate CCDs. 1 2 3 Science Systems and Applications, Inc. Sigma Space Corp. Global Science and Technology, Inc. 197 198 Malumuth, et al. Figure 1. 2. A image, spectral image pair shown in SLWIDGET. STIS Slitless Spectra STIS slitless spectra are usually obtained as image, spectral image pairs. Figure 1 is an example of a slitless spectral image pair taken as part of the STIS parallel program. The image, spectral image pair is shown in the IDL widget SLWIDGET (Lindler 1998) which can be used to extract the spectrum of any object in the field. The image is needed so that we will know where in the field of view the object was located when the spectral image was taken. This is necessary to determine the wavelength scale. 3. Using The Model The core of the model is a program that solves the Fresnel equations for a given pixel. The IDL procedure (LAYERS) is based on the formalism of Windt (1998) and is a function of the wavelength on the pixel, the number of layers in the CCD, the index of refraction and absorption coefficient of each layer at that wavelength, the thickness of each layer, and the “roughness” of the boundary between each layer (expressed as a diffusion distance). The function returns the transmission and the absorptance for that pixel at that wavelength. The fringe amplitude at that wavelength for the given pixel is the normalized absorptance. Therefore, to defringe a given spectrum we need to know the following. • The wavelength of light hitting each pixel used in the spectral extraction. • The structure of the CCD, including the composition and thickness of each layer in the CCD. • The index of refraction and absorption coefficient of each material in the CCD as a function of wavelength. Removing Fringes from STIS and WFC3 Data 199 Figure 2. Three fringe models for the spectrum of the star shown in Figure 1. The top line is for a wavelength shift of −10 Å, while the bottom line is for a shift of +10 Å. The details of how the structure of the CCD at each pixel was derived, as well as an adjustment to the index of refraction of silicon as a function of wavelength have been previously reported by Malumuth et al. (2002). Given the above information a model of the fringing for an object anywhere in the field of view can be computed. The resulting model for a given set of pixels is a sensitive function of the wavelength of the light on that pixel. Thus, a wavelength error in the spectral extraction of only a few angstroms can result in a poor fringe correction. Figure 2 shows how a shift of ±10 Å effects the fringe location. 3.1. STIS Spectra Defringing Tool An IDL widget tool (see Figure 3) brings all of the elements together to allow the user to defringe an extracted spectrum. The user reads in the extracted spectrum in the form of a structure contained in a FITS table. The structure should include the wavelength vector, the flux vector, and the CCD location where the extraction was done. This maps the wavelength to pixel location. The widget reads in the tables of the optical properties (index of refraction and absorption coefficient as a function of wavelength) of the materials in the CCD, the thickness vector, the roughness vector, and the map of the thickness of the detection layer as a function of pixel location. The widget will normalize the spectrum by fitting a spline to the spectrum and dividing by the result. The normalized spectrum is displayed in the upper right window. The user presses the “Find Wavelength” button. The widget will calculate 11 model fringe patterns for the center row of the extraction using a slightly different wavelength scale for each. The user may control the wavelength scales by changing the “Wavelength Offset” and “Wavelength Step Size.” The defaults are 0 Å for the offset and 2 Å for the step size. At each step the calculated fringe pattern is plotted on the normalized spectrum as a blue line (seen in Figure 3 as a thin black line). The normalized spectrum is divided by this “model” fringe pattern and the result is displayed in the lower window, and the signal to noise ratio is calculated between 8300 Å and 10000 Å. The S/N ratio is plotted 200 Malumuth, et al. Figure 3. The IDL STIS Spectra Defringing Tool. The top plot shows the normalized spectra, with fringes, of the star shown in Figure 1. The thick line is the data, the thin line is the best fit model. The bottom right plot shows the resulting defringed spectra. as a function of offset in the small window on the left. After the eleventh wavelength offset position is finished a gaussian is fit to the S/N vs. offset plot to find the best offset. A fringe model is calculated for the best fit wavelength offset and divided into the flux calibrated spectrum and displayed in the lower window. If the user wishes, a full fringe model using all of the rows in the extraction may be calculated at this time by pressing the “Full Fringe Extraction” button. The defringed spectrum can be saved in a fits table using the “save” button. 4. WFC3 Fringing The WFC3 instrument being developed for the Hubble Space Telescope will have a UV/VIS channel which will include two 2051 × 4096 pixel thin backside illuminated CCDs similar to the STIS CCD. The techniques developed for modeling the STIS CCD are being applied to the flight candidate CCDs for WFC3, in the Goddard Space Flight Center’s Detector Characterization Lab. References Malumuth, E. M., et al. 2000, A Model for Removing Fringes from STIS Slitless Spectra, BAAS, 197, 1204 Malumuth, E. M., et al. 2002, Removing the Fringes from STIS Slitless Spectra, PASP, in press Malumuth, E. M., et al. 2002, Model of Fringing in the WFC3 CCDs, SPIE, in press Windt, D. L. 1998, Computers in Physics, 12, 360 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Absolute Flux Calibration of STIS Imaging Modes Charles R. Proffitt,1,2 James Davies, Thomas M. Brown, Bahram Mobasher Space Telescope Science Institute, Baltimore, MD 21218 Abstract. The absolute flux calibration of STIS imaging photometry presents a number of unique challenges. The very wide wavelength coverage of most STIS imaging modes leads to significant color dependence in both the throughputs and the aperture corrections, complicating the determination of detector sensitivity. For CCD imaging modes, these difficulties are further complicated by the very broad scattered light halo at long wavelengths. For MAMA imaging modes, it is also necessary to take the time and wavelength dependent sensitivity changes of the detectors into account. We present deep imaging observations of a number of stars with well measured spectral energy distributions. These data have been used to derive improved color dependent aperture corrections for all STIS imaging configurations, and to revise the wavelength dependent detector sensitivities. These new aperture corrections and sensitivity revisions should allow absolute flux calibration of imaging observations with better than 5% accuracy for most STIS imaging modes. 1. Introduction STIS has a small number of imaging modes for each detector, many of which have very broad bandpasses. Aperture corrections can be very large and strongly dependent on source color. Because STIS is also a well calibrated spectrograph, detailed wavelength dependent filter throughputs have been measured by taking slitless spectra through each filter. There remain, however, uncertainties in the overall wavelength dependent system throughput. Our strategy is to calibrate the detector throughputs and encircled energy curves as a function of wavelength by obtaining very deep images of stars of a variety of colors and with well measured spectral energy distributions. 2. CCD Imaging Throughputs Early STIS F28X50LP CCD images of several stars measured count rates 28% lower than expected, while 50CCD images of one hot star showed about the expected count rate. The initial response to this discrepancy was to lower F28X50LP throughput by 28%. However, this solution is not consistent with imaging results for cooler stars (e.g., Houdashelt, Wyse, & Gilmore 2001). Spectra taken through the F28X50LP filter also shows the throughput to be close to prelaunch estimates. The correct solution is to lower the long wavelength throughput of all STIS CCD modes and to properly measure the strongly color dependent aperture corrections. 1 2 Science Programs, Computer Sciences Corporation Catholic University of America Institute for Astrophysics and Computational Science 201 202 Proffitt et al. As part of STIS/CAL programs 8422, 8844, and 8924, we contained contemporaneous deep STIS 50CCD and F28X50LP images as well as STIS CCD spectra of a number of stars (Table 1) of a variety of colors. The deep images were used to derive color-dependent aperture corrections (Table 2), while the measured spectral energy distributions were used to adjust the CCD throughput curve (Figure 1) to obtain good agreement between predicted and measured imaging count rates (Figure 2). In Table 1 we show the magnitudes and colors calculated for the CCD calibration stars using their observed spectral energy distributions and the currently adopted STIS component throughputs. Table 2 shows the measured aperture corrections for these stars. Table 1. Calculated Magnitudes and Colors of CCD Imaging Calibration Stars in STMAG and VEGAMAG Systems Star GRW +70◦ 5824 WD 310-688 CPD -60◦ 7585 CPD -35◦ 9181 A BD -11◦3759 STMAG F28X50LP 50CCD-LP 13.747 −0.899 12.361 −0.759 10.574 −0.196 10.328 +0.074 9.994 +0.325 50CCD 12.848 11.603 10.378 10.402 10.318 V 12.716 11.358 10.041 10.202 11.263 U BV Rc U −B B −V −0.772 −0.057 −0.624 +0.041 −0.017 +0.417 +0.833 +0.917 +1.241 +1.476 V − Rc −0.100 −0.079 +0.275 +0.583 +1.274 Table 2. Measured Aperture Corrections for 50CCD and F28X50LP Images As a Function of the Aperture Radius in Pixels Aperture Radius in CCD Pixels (0.05071) 5 7 10 15 19.7 Star 2 3 4 GRW +70◦ 5824 WD 310−688 CPD −60◦ 7585 CPD −35◦ 9181 A BD −11◦ 3759 −0.464 −0.461 −0.523 −0.585 −0.806 −0.283 −0.276 −0.314 −0.352 −0.524 −0.219 −0.216 −0.242 −0.282 −0.379 50CCD −0.183 −0.137 −0.194 −0.138 −0.210 −0.169 −0.244 −0.193 −0.328 −0.280 −0.102 −0.105 −0.130 −0.152 −0.235 −0.074 −0.076 −0.104 −0.120 −0.197 GRW +70◦ 5824 WD 310−688 CPD −60◦ 7585 CPD −35◦ 9181 A BD −11◦ 3759 −0.621 −0.643 −0.632 −0.662 −0.813 −0.344 −0.363 −0.375 −0.397 −0.535 −0.245 −0.262 −0.288 −0.299 −0.392 F28X50LP −0.214 −0.166 −0.228 −0.184 −0.259 −0.215 −0.273 −0.225 −0.346 −0.300 −0.124 −0.140 −0.158 −0.182 −0.251 −0.094 −0.109 −0.127 −0.148 −0.212 39.4 59.2 −0.057 −0.060 −0.088 −0.102 −0.173 −0.021 −0.022 −0.043 −0.053 −0.104 −0.009 −0.010 −0.024 −0.029 −0.064 −0.078 −0.091 −0.110 −0.126 −0.187 −0.036 −0.047 −0.059 −0.074 −0.109 −0.021 −0.026 −0.035 −0.039 −0.068 Measurements and predictions (Table 3) are now in good agreement for stars of all colors (Figure 1). 3. MAMA Imaging Throughputs Bright object limits prevent the usual WD flux standards from being observed with many MAMA imaging modes. Time dependent sensitivity changes are also important, especially for FUV MAMA imaging modes. To calibrate the MAMA imaging throughput we use a strategy similar to that used for the CCD modes. For the narrow and some intermediate band MAMA filters we use STIS images and spectra of a number of WD standards from Bohlin, Dickinson, & Calzetti (2001). To calibrate the broad-band and intermediate imaging modes we use hot HB stars in the globular cluster NGC 6681 that were measured in STIS/CAL programs 8842 and 9631, and the star UIT1 in NGC 2808 (images are from STIS/CAL program 8511 and spectra from GO program 7436). Absolute Flux Calibration of STIS Imaging Modes Figure 1. shown. The old (solid line) and revised (dashed line) CCD throughputs are Figure 2. Here we compare the predicted and observed count rates for 50CCD (squares) and F28X50LP (circles) imaging of our standard stars for assuming the old (filled symbol) and the revised CCD throughputs (open symbols). For all calculated F28X50LP magnitudes in this figure, the revised F28X50LP curve is assumed. 203 204 Proffitt et al. Figure 3. The solid line shows the throughput curve for NUV MAMA imaging modes adopted in July 1999. The broken curve shows our suggested revision. The throughput curves shown here have not yet been multiplied by the OTA throughput. Wavelength dependant MAMA aperture corrections are based on the encircled energy curves from the deep imaging observations of individual stars. For most detector/filter combinations, observations agree with predictions based on previously tabulated throughput curves to better than 5%. FUV F25QTZ observations show unusually large scatter, possibly due to long wavelength throughput variations across FUV MAMA. NUV MAMA F25CN182 observations are somewhat too bright compared with predictions. We have proposed a revision to the short wavelength throughput curve for NUV MAMA imaging modes (Figure 3) that alleviates this problem, and modestly improves the consistency of results for a number of other filters. Table 3. Aperture Corrections for Individual MAMA Imaging Modes Calculated Assuming a Source Spectrum with Fλ =constant. Detector/filter NUV F25CIII NUV F25CN182 NUV F25ND3 NUV F25SRF2 NUV F25QTZ NUV F25CN270 NUV F25MGII FUV F25LYA FUV 25MAMA FUV F25ND3 FUV F25SRF2 FUV F25QTZ Aperture Radius 3 5 −0.680 −0.441 −0.664 −0.431 −0.561 −0.365 −0.578 −0.375 −0.572 −0.371 −0.512 −0.332 −0.485 −0.316 −1.030 −0.651 −0.855 −0.556 −0.851 −0.554 −0.785 −0.515 −0.752 −0.494 in MAMA Pixels (0.025) 10 15 20 −0.287 −0.194 −0.130 −0.279 −0.186 −0.123 −0.223 −0.141 −0.093 −0.232 −0.149 −0.099 −0.230 −0.147 −0.099 −0.198 −0.121 −0.082 −0.182 −0.110 −0.073 −0.381 −0.227 −0.127 −0.340 −0.214 −0.122 −0.339 −0.214 −0.120 −0.323 −0.210 −0.120 −0.321 −0.218 −0.132 References Bohlin, R. C., Dickinson, M. E., & Calzetti, D. 2001, AJ, 122, 211 Houdashelt, Mark L., Wyse, Rosemary F. G., & Gilmore, G. 2001, PASP, 113, 49 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Sensitivity Monitor Report for the STIS First-Order Modes D. J. Stys, N. R. Walborn, I. Busko, P. Goudfrooij, C. Proffitt, K. Sahu Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The analysis of the STIS Sensitivity Monitor observations from 1997 through 2002 continues to show sensitivity trends correlated with time for all firstorder modes, as well as temperature dependence in the FUV. The wavelengthaveraged rate of sensitivity loss for the MAMA low-resolution (L) modes is nearly 2%/yr for G140L and about 1.5%/yr for G230L; the observed trends in the CCD modes are dominated by charge transfer efficiency (CTE) loss. Selected wavelength settings of the medium-resolution (M) gratings G140M, G230M, G230MB, G430M, and G750M have also been followed by this monitoring program. The lower exposure levels in the CCD M-mode observations result in significantly larger effects from CTE losses, than is the case for the L-mode observations. In general, the sensitivity losses are found to be wavelength dependent. The limited MAMA M-mode wavelength coverage is consistent with the same sensitivity trends observed in the L modes at the corresponding wavelengths. On this basis, the STIS pipeline processing software is currently being revised to correct the extracted fluxes for these sensitivity changes in both the MAMA L and M modes. The CCD sensitivity losses due to CTE depend on the signal and background exposure levels as well as detector location, and so require tailored corrections. 1. Observations A spectroscopic flux standard, either the white dwarf GRW+70D5824 or the subdwarf AGK+81D266, is monitored with each STIS grating to detect changes in sensitivity due to contamination or other causes. Observations included in this report are from the STIS Sensitivity Monitor calibration program. The data are from Cycles 7–10 through May 2002. Each observation uses the 52 × 2 slit and is processed with on-the-fly reprocessing (OTFR). The MAMA L modes have been monitored monthly while the M mode measurements were taken at two-month intervals. The CCD L modes were monitored every three months while the CCD M modes were checked every six months. CCD observations are CR-SPLIT = 2 and GAIN = 1. G750L and G750M observations have contemporaneous ‘fringe-flat’ exposures for fringe removal. The normal mode select mechanism (MSM) shifting is disabled for these monitoring observations in order to minimize variations due to spatial displacements of the spectra. Detailed information regarding observing strategy can be found in Walborn and Bohlin (1998). 2. Analysis and Results Prior to analysis, the FUV MAMA fluxes are corrected for a slight (0.25%/?C) temperature dependence. Thereafter, each STIS mode is examined for any variation in sensitivity with time. The earliest observation for each mode is defined as the reference. The sum of the NET counts for each observation is divided by the sum of the NET counts for the reference. These relative sensitivities are plotted versus time and are fitted with linear 205 206 Stys, et al. Figure 1. G140L Relative Sensitivity vs. Time Figure 2. G230L Relative Sensitivity vs. Time Sensitivity Monitor Report for the STIS First-Order Modes Figure 3. 207 G750L Relative Sensitivity vs. Time segments (as seen in Figures 1–3). The slope, i.e., percent-per-year change in sensitivity and 1σ uncertainty in the fits are printed at the bottom of each plot. The 1σ rms(%) of the data residuals from the linear fit is also provided (SIGMA). The tables below sumarize the wavelength-averaged results for the MAMA and CCD L-modes. Prior to analysis, the FUV MAMA fluxes are corrected for a slight (0.25%/C) temperature dependence. Thereafter, each STIS mode is examined for any variation in sensitivity with time. The earliest observation for each mode is defined as the reference. The sum of the NET counts for each observation is divided by the sum of the NET counts for the reference. These relative sensitivities are plotted versus time and are fitted with linear segments (as seen in Figures 1–3). The slope, i.e., percent-per-year change in sensitivity and 1σ uncertainty in the fits are printed at the bottom of each plot. The 1σ rms(%) of the data residuals from the linear fit is also provided (SIGMA). The tables below sumarize the wavelength-averaged results for the MAMA and CCD L-modes. Smith et al. (2002) discussed the entire analysis procedure for this program while Stys and Walborn (2001) reports the latest sensitivity trends. 3. Pipeline Correction Corrections for the time dependences of all MAMA first-order configurations have been incorporated into the STScI data-reduction pipeline as of mid-2002, so that all OTFR retrievals of such data will have corrected fluxes regardless of their acquisition epoch. The CCD sensitivity losses due to CTE depend on the exposure levels and detector location, and so require tailored corrections. Sensitivity-monitor data for the echelle and MAMA imaging configurations are currently under investigation; they appear to show analogous effects, and pipeline corrections for them will become available at a later time. The SYNPHOT 208 Stys, et al. Table 1. MAMA Time-Dependent Sensitivity Trends Mode G140L G140M G140M G230L G230L G230M G230M Table 2. Epoch < > < > 1998.7 1998.7 1998.7 1998.7 λ-Range (Å) 1300–1500 1150–1190 1542–1592 2200–2600 2200–2600 2775–2860 2775–2860 %/yr −2.02 −2.52 −2.17 1.66 −1.50 1.40 −0.90 +/− 0.07 0.12 0.08 0.17 0.04 0.23 0.05 SIGMA 0.66 0.67 0.52 0.17 0.25 0.12 0.22 CCD Time-Dependent Sensitivity Trends Mode G230LB G230LB G230MB G230MB G430L G430M G750L G750M Epoch < 1998.7 > 1998.7 < 1998.7 > 1998.7 λ-Range (Å) 2000–3000 2000–3000 2340–2490 2340–2490 3100–5500 3050–3300 5600–7000 7000–7500 %/yr 0.79 −1.59 0.23 −2.23 −0.39 −1.20 −0.28 −1.07 +/− 0.20 0.08 0.49 0.14 0.07 0.06 0.05 0.10 SIGMA 0.16 0.34 0.29 0.43 0.46 0.28 0.30 0.51 package has been updated to model the time dependent sensitivities for both spectroscopic and imaging modes. References Walborn, N. & Bohlin, R. 1998, Instrument Science Report STIS 98-27 (Baltimore: STScI) Bohlin, R. 1999, Instrument Science Report STIS 1999-07 (Baltimore: STScI) Smith, T. E., Stys, D., Walborn, N., & Bohlin, R. 2000, Instruments Science Report STIS 2000-03 (Baltimore: STScI) Stys, D. & Walborn, N. 2001, Instrument Science Report STIS 2001-01R (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. 2-D Algorithm for Removing STIS Echelle Scattered Light Jeff Valenti, Ivo Busko, and Jessica Kim Quijano Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Don Lindler Advanced Computer Concepts, Inc. Chuck Bowers Goddard Space Flight Center, Greenbelt, MD 20771 Abstract. We provide excerpts from Instrument Science Report STIS 2002-01 (Valenti et al. 2002), which describes in more detail a 2-D algorithm for removing scattered light from STIS echelle spectra. 1. Introduction Ideally, a spectrograph should yield a one-to-one mapping between detector pixel and monochromatic source intensity. In practice, background, scattered light, and finite resolution contaminate the monochromatic signal in each pixel. Background subtraction and scattered light removal typically precede spectral extraction. Bias and dark subtraction removes the component of background that is independent of exposure level, leaving only the source spectrum and a component due to scattered light. For echelle spectrographs, 1-D linear interpolation of the minimum intensity between echelle orders provides a simple model of the scattered light beneath each order. Originally, this basic scattered light model was the only choice in the IRAF task x1d (McGrath et al. 1999), which is often used to extract echelle spectra obtained with the Space Telescope Imaging Spectrograph (STIS). Beginning with CALSTIS version 2.9 (installed in the archive pipeline on 2000 Dec 21 and released as part of STSDAS version 2.3 on 2001 June 12), x1d also includes a new 2-D scattered light model (algorithm = sc2d) that supplements the original 1-D model (algorithm = unweighted). The sc2d algorithm was developed by Lindler & Bowers (2001), implemented in CALSTIS by Busko, and tested by Valenti. Several authors have suggested simple enhancements of the basic 1-D algorithm. For example, Howk & Sembach (2000) inferred the background beneath each order by fitting 1-D polynomials to an extended region around the minima between echelle orders. Alternatively, scattered light may be decomposed into a local 1-D component that scales with counts detected in the two immediately adjacent orders and a global 2-D polynomial component (e.g., Gehren & Ponz 1986). The formalism developed to interpret echelle data from the Goddard High-Resolution Spectrograph includes components that scale with total counts in an order and counts detected in each extracted wavelength bin (Cardelli et al. 1993). These 1-D components correspond to scatter by the echelle and the cross-disperser, respectively. In contrast to the models described above, the sc2d algorithm iteratively builds an empirical 2D description of scattered light from 1-D extracted spectra and known scattering properties of the telescope and spectrograph. 209 210 Valenti, et al. 800 Dataset: o4qx04010 HD 303308 (O3V) Order 334 E140H 1.5 Counts in Column 500 Flux (10−11 erg s−1 cm−2 Å−1) 2.0 1.0 0.5 2−D Algorithm 1−D Algorithm 0.0 1259 1260 1261 Wavelength (Å) 1262 600 400 200 0 600 650 Row Number 700 Figure 1. Left: These interstellar absorption lines should have zero flux in the line cores, but extraction with a 1-D scattered light model yields negative fluxes. Right: In this cut across echelle orders, the deep absorption line in the order at row 640 drops below the 1-D scattered light model (smooth horizontal line). 2. Empirical Motivation Development of a background subtraction algorithm (Lindler & Bowers 2001) with a 2-D scattered light model was motivated by unrealistic negative fluxes in saturated cores of interstellar absorption lines punctuating spectra of continuum sources. Figure 1a demonstrates the problem with extracted spectra obtained by subtracting either 1-D or 2-D estimates of the scattered light background. With the traditional 1-D background subtraction algorithm, the saturated line core is systematically below zero by 9.0 ± 0.4% of the neighboring continuum flux. This must be an artifact of inadequate background subtraction. With the new 2-D scattered light model described here, the line core is only 1.0 ± 0.4% below zero, indicating significant improvement. Figure 1b presents a cut at column 500 through the subimage in Figure 2a. Echelle orders 330–338 are spaced nearly uniformly, except that order 334 is missing because of the strong interstellar line extracted in Figure 1a. The unweighted algorithm in x1d estimates the background beneath each order by linearly interpolating the mean interorder light along columns. Order 334 (near row 640) is systematically below the 1-D background estimate (smooth horizontal line), indicating the need for a better background estimate. Figure 2a shows a portion of a cross-dispersed echelle spectrum obtained in the FUV with the STIS E140H grating. The continuum of HD 303308 (black horizontal bands) is cut by interstellar absorption lines (white gaps) which should have zero signal in the final extracted spectrum. The image in Figure 2a has been clipped at 6% of the peak to highlight the behavior of the background. Note that absorption line cores are fainter (whiter) than the “background” between echelle orders. In this case, linear interpolation of interorder light along columns does not provide a good estimate of the background beneath an order. Lindler & Bowers (2001) developed a 2-D algorithm which provides a better estimate of the background everywhere on the detector. Figure 2b shows the resulting 2-D background estimate for the subimage shown in the left panel. The region around the strongest interstellar line complex is highlighted (dashed box) in both images. The background between orders is brighter (blacker) than the general background beneath each order, which in turn is higher than the faint background (white patches) beneath strong absorption lines. 700 700 650 650 Row Row STIS Echelle Scattered Light Correction 600 211 600 Clipped at 6% of Peak 0 200 400 600 Column 800 1000 0 200 400 600 Column 800 1000 Figure 2. Left: Counts in deep absorption lines are below (less dark) than the background between orders. A vertical line indicates the cut used in Figure 1. Right: The 2-D scattered light model is lower (less dark) in the cores of deep absorption lines. A rectangle outlines the same regions as in the left panel. 3. Algorithm In the Lindler and Bowers (2001) algorithm, a flat-fielded image is fitted with a 2-D model constructed in each iteration by folding the best current estimate of the extracted spectrum through a semi-empirical simulation of STIS optical properties. For STIS data, selfconsistency between the model image and the extracted spectrum is achieved after three iterations. A 2-D scattered light model is then constructed considering only the echelle scatter outside an 11 pixel wide vertical window centered on each order. This 2-D scattered light model is subtracted from the original image, and the final spectrum is obtained using standard 1-D extraction. See Valenti et al. (2002) for details. Scattered light from the echelle gratings is a significant contribution to STIS scattered light and is the main reason why a 1-D background model does not accurately reflect the scattered light beneath an order. Figure 3a shows echelle scatter functions for three orders of the E140M grating. A majority of the light is concentrated in the central pixel, but integrated light in the wings of the scattering function can be significant. At the shortest wavelengths, 37% of the light is scattered more than 15 pixels from the nominal position. As indicated in the table inset, scattered light increases dramatically at the short wavelength end of the FUV bandpass, presumably because the wavelength of incident light is becoming comparable to the size of irregularities on the reflection grating surface. At visible wavelengths, echelle scatter would be greatly diminished, reducing the need for a 2-D scattered light algorithm. 4. STSDAS Implementation The 2-D algorithm was first implemented by Lindler in IDL, taking advantage of the software and database environment maintained for the STIS Instrument Definition Team. Busko incorporated the algorithm into the existing x1d task in the IRAF package STSDAS. The x1d implementation is used in the archive pipeline and is supported for general use by the STIS community. Both the IDL and IRAF implementations have tasks named CALSTIS 212 Valenti, et al. 1 2 0.1 0.01 Order λ (Å) 128 104 84 1154 1424 1758 Central >15 Pixel Pixels 60% 75% 76% 37% 24% 16% 10−3 Order 128 104 84 10−4 −400 −200 0 200 Pixel Offset 400 Fractional Error in Line Core (%) Echelle Scattering Function E140M 2−D Algorithm 0 −2 −4 −6 E140H E230H −8 1−D Algorithm −10 −12 1500 2000 Wavelength (Å) 2500 Figure 3. Left: Echelle scatter is modelled as a sharp core with broad wings. At short wavelengths, 1/3 of the light is scattered by more than 15 pixels. Right: The cores of numerous deep absorption lines yield errors, relative to the local continuum and as a function of wavelength, for 1-D and 2-D models. that drive end-to-end processing of STIS data, so an additional descriptor is required to distinguish between the two implementations (e.g., “the sc2d algorithm in the x1d task” uniquely specifies the IRAF implementation). The sc2d algorithm in x1d first appeared in CALSTIS version 2.9, which was installed in the archive pipeline on 2000 Dec 21 and released as part of STSDAS version 2.3 on 2001 June 12. The 2-D algorithm requires a component level description of STIS optical properties, which Lindler and Bowers bundled into a variety of reference files. Implementation of the sc2d algorithm in x1d required the creation of 7 new reference file types, beyond those required for the original unweighted algorithm. Scattered light reference files used by the sc2d algorithm in x1d have content identical to the original Lindler reference files, but organization and FITS structure have been modified to match STSDAS conventions. Figure 3b shows measured errors for strong absorption interstellar line cores, as a function of wavelength and echelle grating. Although the four echelle gratings could in principle have significantly different surface roughness, 1-D extraction errors for all the echelle gratings have a similar dependence on wavelength. The factor of four increase in error from 1400 to 1100 Å, despite only a factor of two increase in echelle scatter over the same interval (table inset in Figure 3a), may simply be due to the decrease in order spacing for bluer orders. This same effect could also account for the larger errors in E230H spectra at 1700 Å, relative to E140H spectra. References Cardelli, J. A., Ebbets, D. C., & Savage, B. D. 1993, ApJ, 413, 401 Gehren, T. & Ponz, D. 1986, A&A, 168, 386 Howk, J. C. & Sembach, K. R. 2000, AJ, 119, 2481 Lindler, D. & Bowers, C. 2001, BAAS, 197.1202 McGrath, M. A., Busko, I., & Hodge, P. 1999, Instrument Science Report STIS 1999-03 (Baltimore: STScI) Valenti, J. A., et al. 2002, Instrument Science Report STIS 2002-01 (Baltimore: STScI) Part 3. NICMOS 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. NICMOS Status A. B. Schultz,1 D. Calzetti, S. Arribas,2 T. Böker,2 M. Dickinson, S. Malhotra Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 L. Mazzuca NASA’s Goddard Space Flight Center, Greenbelt, MD 20771 B. Mobasher,2 K. Noll, E. Roye, M. Sosey, T. Wiklind,2 and C. Xu Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The Near Infrared Camera and Multi-Object Spectrometer (NICMOS) is operational with improved scientific performance relative to the Cycle 7 & 7N. It has been performing routine science observations since June 12, 2002. The NICMOS detectors are operating at a higher temperature (77.1 ± 0.08 K (3σ)) than during Cycles 7 & 7N (∼62 K). The instrument temperature has been fairly stable (±0.08 K at the detector), which allows stable optics and instrument’s characteristics. Due to the higher operating temperature, the detector QE is higher, which results in ∼0.23 magnitude fainter detection limit in H for a 3σ detection of a point source in a 3,000 second integration. 1. Introduction The Near Infrared Camera and Multi-Object Spectrometer (NICMOS) was installed on the Hubble Space Telescope (HST ) in February 1997 during the Second HST Servicing Mission (SM2). The on-orbit life time of NICMOS was shortened due to a thermal short. The nitrogen ice cryogen was exhausted on January 4, 1999, and data taking was suspended on January 11, 1999. The NICMOS detectors warmed up to temperatures around 260 K and were not available for scientific observations for about three years. A mechanical cooler, the NICMOS Cooling System (NCS), using a reverse-Brayton cycle (Cheng et al. 1998) was installed on March 8, 2002 during the HST Servicing Mission 3B (SM3B). The NCS activation was on March 18, 2002, followed shortly by the start of the NICMOS cool down. Subsequently, a set point temperature resulting in a detector temperature of 77.1 K was reached, and NICMOS data taking resumed. The NICMOS has three infrared cameras (NIC1, NIC2, NIC3) with different focal ratios (f/80, f/45.7, f/17.2). The NIC1 PSF is critically sampled at 1.0 µm, the NIC2 PSF is critically sampled at 1.75 µm, and the NIC3 PSF is under sampled. Camera operations are independent and non-confocal. The three cameras have adjacent, but not spatially contiguous, fields-of-view (FOVs). Each camera has a 256 × 256 pixel HgCdTe focal plane array (NICMOS 3 detector architecture). With the dewar “anomaly,” the detectors were moved forward toward the dewar face plate. This resulted in non-confocal imaging at the detectors. However, NIC1 and NIC2 can successfully be used in parallel to each other 1 2 Science Programs, Computer Sciences Corporation On assignment from the Space Telescope Division of the European Space Agency (ESA) 215 216 Schultz, et al. at an intermediate focus position for most applications. The focus interface for NIC3 is beyond the adjustable range of the Pupil Alignment Mechanism (PAM). However, NIC3 can still be used for science observations at the best available focus as the slight defocus relative to optimal focus induces only a modest (∼15%) reduction of the PSF peak energy. The characteristics of the NICMOS cameras after the installation of NCS are presented in Table 1. More details about the new capabilities of NICMOS can be found in the NICMOS Instrument Handbook for Cycle 12 (Malhotra et al. 2002). Table 1. Characteristics of NICMOS Cameras. The read noise is measured per read pair, the difference of two reads. The dark current is the linear signal remaining after removing the amp-glow and shading contribution from the total “dark” signal. The DQE values (fraction of incident photons detected) for postNCS temperature of 77.1 K scaled from the ground-based values. Characteristics Pixel size Field of View read-noise dark current ADGAIN DQE (1.6 µm) Camera 1 0.043 11× 11 ∼30 e− /pixel 0.145 e− /sec/pixel 5.4 e− /DN 0.426 Camera 2 0.075 19.2× 19.2 ∼30 e− /pixel 0.110 e− /sec/pixel 5.4 e− /DN 0.442 Camera 3 0.2 51.2× 51.2 ∼30 e− /pixel 0.202 e− /sec/pixel 6.5 e− /DN 0.414 NICMOS provides direct infrared imaging in broad, medium, and narrow-band filters from 0.8 to 2.5 µm as well as three special observational modes; i.e., coronagraphic imaging, broad-band imaging polarimetry, and slit-less grism spectroscopy. These special NICMOS capabilities enable fundamental investigation into the nature of a wide variety of objects. Accompanying papers describe in detail each of these modes. 2. NICMOS Cooling System (NCS) The NICMOS Cooling System (NCS) consists of three major subsystems: a cryocooler which provides the mechanical cooling; a Capillary Pumped Loop (CPL) which transports the heat dissipated by the cryocooler to an external radiator; and a circulation loop which transports heat from the inside of the NICMOS dewar to the cryocooler via a heat exchanger. Cold neon gas is circulated to cool the detectors. The NCS was activated on March 18, 2002, and reached the operational detector temperature of 77.1 K four weeks later. The time line of the NICMOS detector cool down is presented in Figure 1. A number of test programs were executed to verify the stability and repeatability of the NCS control law. Results to date indicate that the NCS has good control of the temperature and that there is a margin in the compressor speed to compensate for extra heat due to changes in spacecraft attitude, operation of the NICMOS and other science instruments in the Aft Shroud, and any changes due to seasonal conditions. An in-depth discussion of the NICMOS cool down can be found in the accompanying paper Böker et al. (2003). 3. NICMOS Optical Stability The optimal focus for each NICMOS camera was determined on a ing Cycles 7 & 7N with the last of the pre-NCS focus measurements uary 4, 1999 (Suchkov et al. 1998). These results can be found on page (http://www.stsci.edu/hst/nicmos/performance/focus). Images regular basis durperformed on Janthe NICMOS web of the star cluster NICMOS Status 217 260 220 Temperature (K) 200 180 160 NICMOS switched on NICMOS switched off 240 140 120 100 Target Temperature 80 60 0 Figure 1. 5 10 15 20 Time (days) 25 30 35 Time line of the NICMOS detector cool down. NGC3603 (NIC/CAL program 8977) were obtained on May 3, 2002 to determine the locations of the NICMOS detectors with respect to the HST f/24 input beam. The data were independently analyzed using recovery of Zernike polynomial coefficients by phase retrieval and minimization of PSF core flux density dispersal by encircled energy. Comparisons made between phase retrieval and encircled energy measurements are in good agreement. Results from the analysis indicated that the PAM positions, that affect best foci at the detectors, appeared to have moved marginally in the negative direction for NIC1 (PAM1) and NIC2 (PAM2) and in the positive direction for NIC3 (PAM3). The movement of NIC3 is towards its best focus. Thus, NIC3 focus is somewhat better than during Cycles 7 & 7N. The new PAM positions for all three cameras were uplinked to the telescope on May 9, 2002 together with the new intermediate NIC1 & NIC2 (PAMI) focus. No focus adjustments were implemented for NIC3 as the camera’s optimal focus is located beyond the physical range of the PAM. No change to the coronagraphic focus (PAMC) was recommended at that time. The pre-NCS and current PAM positions are presented in Table 2. A monitor program, executed monthly for the first six months of Cycle 11 and bi-monthly afterwards, shows that the camera foci are relatively stable with a maximum excursion of ∼0.5 mm of PAM movement from the default set points. A plot of the post-NCS focus history compared to the focus history for Cycles 7 & 7N is presented in Figure 2. Details about the focus determination can be found in the accompanying paper by Roye and Schultz (2003). Table 2. The recommended nominal focus positions in mm of PAM motion. No breathing correction has been applied. PAM1 2.36 1.90 PAM2 0.69 0.20 PAM3 −9.50 −9.50 PAMI 1.75 1.22 PAMC 2.69 2.69 Date pre-NCS post-NCS 218 Schultz, et al. Figure 2. Post-NCS NICMOS focus history results compared to Cycles 7 & 7N. The x -axis represents the number of days since January 1, 1997 and y-axis represents the position of the PAM in mm. A small amount of coma, observed in the post-NCS NICMOS and essentially absent in the Cycles 7 & 7N observations, has been corrected. The absence of such coma in the pre-NCS observations implies that a small amount of induced differential shear has occurred since January 1999. The presence of a small amount of coma did not affect the determination of the “best focus” by either of the two employed analysis methods discussed above. Coma corrections were determined separately for all three cameras. A set of data called a “tilt grid” was obtained which is a series of images taken at a variety of PAM tilt positions around the default position. New optimal PAM tilt setting for NIC1 were uplinked to HST on May 16, 2002. The correction successfully alleviated the observed NIC1 coma. New settings for NIC2 were uplinked on September 29, 2002, successfully alleviating all coma. No update was required for NIC3. Figure 3 presents the NIC1 and NIC2 PSFs before and after PAM tilt correction for coma. The NIC3 PSF is also shown for comparison. Details about the coma determination can be found in the accompanying paper Roye and Schultz (2003). 4. Sensitivity Limits The sensitivity of the NICMOS detectors is checked during each HST observing cycle by observing standard stars in each filter, the solar analog P330E and the white dwarf G19B2B. In addition, a photometric monitor program is executed regularly during each cycle NICMOS Status 219 Figure 3. NIC1 and NIC2 PSFs before and after PAM tilt correction for coma. NIC3 PSF is shown for comparison. to observe standard stars in a selection of filters. These observations are used to determine the NICMOS photometric calibration and to determine the photometric stability of all three NICMOS detectors. The Cycles 7 & 7N photometric calibration data showed that the absolute photometry is accurate to 6% (1-σ uncertainty), and the temporal and spatial relative photometry is within 2% as well. A check of the NICMOS photometric calibration was performed during June 2002 (SM3/NIC 8986). The solar analog P330E was observed in all three cameras with every broad, medium, and narrow band filters. Preliminary data reduction indicates an increase in the post-NCS photometric sensitivity of 20–70% depending on wavelength; this is consistent with the observed increase of the camera’s DQE due to the higher operating temperature (see accompanying paper by Böker et al. 2003). Figure 4 shows the ratio of post-NCS photometric calibration to the Cycle 7 calibration. Further details about the photometric calibration can be found in the accompanying paper by Dickinson et al. (2003). The higher sensitivity can be quantified as a ∼0.23 mag fainter 3 σ detection limit at H for a faint source with 3,000 sec exposure time. The new sensitivity limits are presented in Table 3 below. Table 3. NICMOS Sensitivity Limits. Cycle 11 magnitude limits to achieve S/N = 3 in 3600 sec for point source (80% encircled energy). AB magnitudes are at the standard NICMOS filter bands, where AB magnitudes are defined as AB = −2.5 log(F (ν)) − 48.57. JAB HAB KAB NIC1 24.6 24.1 — NIC2 25.2 24.6 21.8 NIC3 25.2 24.7 21.4 220 Schultz, et al. Figure 4. 5. Post-NCS photometric calibration ratioed against Cycle 7 calibration. NICMOS Pipeline and User Tools A suite of software tools have been developed to help the NICMOS observer calibrate, reduce, analyze, and to determine the quality of his data. Some of these tools are old favorites, while others are relatively new since Cycles 7 & 7N. Most importantly for those submitting Cycle 12 proposals is the updated Exposure Time Calculator (ETC). The ETC is set for the Cycle 11 operating temperature of 77.1 K. And for those retrieving NICMOS observations from the HST Archive, On-The-Fly-Reprocessing (OTFR) is now implemented for all NICMOS data retrieved from the Archive. Of note are two tools to create “Temperature Dependent Darks” and “Temperature Dependent Flat fields and Color Dependent Flats.” A summary of all available NICMOS software tools useful for data reduction and analysis along with a short discussion on the most recent updates to the calibration pipeline software (CALNICA and CALNICB) can be found in the accompanying paper by Sosey (2003). An “old” problem with NICMOS observations is the persistence (residual image) induced by cosmic rays from passages through the South Atlantic Anomaly (SAA). In order to help alleviate the problem, the following steps have been taken: 1. Pairs of ACCUM darks are obtained with each camera after SAA passages to provide an “imprint” of the persistence image (post-SAA darks). 2. Four new keywords have been added to the headers of the science data (SAA EXIT, SAA TIME, SAA DARK, SAACRMAP). The filenames of the post-SAA darks closest in time to the respective observation are written into the header keywords. Finally, a persistence-removal method using the post-SAA darks is currently being investigated, together with the feasibility of an “automatic” routine to alleviate the persistence in science images. NICMOS Status Table 4. The NICMOS Cycle 11 Calibration Goals Calibration Dark current and shading Flat fields Photometry PSF and Focus Astrometry Coronagraphic PSF Grism wavelength calibration Grism photometric calibration Polarimetry NIC3 intrapixel sensitivity High S/N capability character 6. 221 Accuracy 4-5% on MULTIACCUM sequences 1% broad band, 3% narrow-band 6% absolute, 2% relative and stability 1 mm 0.5% plate scale, 0.1 to FGS frame 0.013 in positing in hole 0.005 µm ∼30% absolute and relative 1% 1-5% S/N∼10,000 NICMOS Calibration Plan A recalibration of the NICMOS primary capabilities has been initiated following the installation of the NCS and the subsequent cool down of the detectors. The NICMOS Cycle 11 calibration activities cover a period of 13 months. They complement the SMOV3B and the Cycle 10 interim calibration programs. These activities pursue the following major objectives: i) to monitor detector properties, ii) to provide data to test the model for generating darks, iii) to provide high S/N flat fields; iv) to investigate the intra-pixel sensitivity effects for NIC2 and NIC3, and v) to calibrate the three special observing modes; i.e., coronagraphy, polarimetry, and grism spectroscopy. Table 4 presents a list of the Cycle 11 calibration goals. Further details about the NICMOS Cycle 11 Calibration Plan can be found in the accompanying paper by Arribas et al. (2003). Acknowledgments. We are grateful to all of the NICMOS presenters at the HST Calibration Workshop for sending copies of their papers and figures. Special thanks goes to Rodger Thompson, Marcia Rieke, Glenn Schneider, and Dean Hines (University of Arizona), and to Wolfram Freudling (ST-ECF). References Arribas, S., et al. 2003, this volume, 263 Böker, T., et al. 2003, this volume, 222 Cheng, E. S., Smith, R. C., Jedrichm N. M., Gibbon, J. A., Cottingham, D. A., Swift, W. L., & Dame, R. E. 1998, SPIE Proc., 3356, 1149 Dickinson, M., et al. 2003, this volume, 232 Hines, D. C., Schmidt, G. D., & Schneider, G. 2000, PASP, 112, 983 Malhotra, S., et al. 2002, NICMOS Instrument Handbook for Cycle 12, Version 5.0, (Baltimore: STScI) url: http://www.stsci.edu/hst/nicmos Mazzuca, L. & Hines, D. C. 1999, “User’s Guide to Polarimetric Imaging Tools,” Instrument Science Report NICMOS-99-004 (Baltimore: STScI) Roye, E. and Schultz, A. 2003, this volume, 267 Sosey, M. 2003, this volume, 275 Suchkov, A., Bergeron, L., & Galas, G. 1998, “NICMOS Focus Monitoring,” Instrument Science Report NICMOS-98-004 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. NICMOS Detector Performance in the NCS Era Torsten Böker,1 Louis E. Bergeron, Lisa Mazzuca,2 Megan Sosey, and Chun Xu Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. After a three-year hiatus following the exhaustion of its solid nitrogen coolant, NICMOS was revived with the installation of the NICMOS Cooling System (NCS) during the HST Servicing Mission 3B in March 2002. NICMOS now operates at about 77.1 K, some 15 K warmer than during its initial operating period. In this paper, we briefly describe the on-orbit performance of the NCS. In addition, we use results from the early NICMOS calibration program to characterize the impact of the higher operating temperature on the behavior of the NICMOS detectors, with a focus on those parameters that are relevant to the scientific performance of the “new” NICMOS. 1. Introduction The Near Infrared and Multi-Object Spectrometer (NICMOS) provides the Hubble Space Telescope (HST ) with its only means to study the universe at infrared wavelengths. Installed on HST during the second Servicing Mission in February 1997, NICMOS suffered from a shortened lifetime because of a thermal anomaly that led to an increased sublimation rate of the solid nitrogen coolant used to maintain a detector temperature of ≈ 61 K. Following the nitrogen exhaustion in January 1999, the NICMOS instrument warmed up to temperatures around 260 K, much too high for scientifically useful observations. NICMOS thus lay dormant for about three years, awaiting the installation of the NICMOS Cooling System (NCS), a mechanical cooler using a closed-loop reverse-Brayton cycle (Cheng et al. 1998). Since the NICMOS detectors show a number of subtle effects that are sensitive to temperature, both the value of the operating temperature and its stability are crucial parameters for the scientific performance of NICMOS. Prior to the NCS on-orbit installation, the evaluation of the thermal performance of the NICMOS/NCS system had to rely on models, because for obvious reasons, the NICMOS dewar was not available for ground testing. Therefore, various aspects of the NCS performance remained rather uncertain, including the parasitic heat load that the NCS had to overcome and its ability to react to environmental changes during the orbital (and seasonal) cycle of HST. However, the results from the early NICMOS calibration program and the NCS telemetry during the first few months of on-orbit operation indicate that all is well with the revived NICMOS. In what follows, we describe the stable and efficient performance of the cryocooler, and the impact of the higher operating temperature on detector parameters such as dark current, quantum efficiency, and readout noise. 1 2 On assignment from the Space Telescope Division of the European Space Agency (ESA). NASA/GSFC, Code 681, Greenbelt, MD 20771 222 NICMOS Detector Performance Figure 1. Thermal history of the NCS. Top: weighted average of the Neon inlet and outlet temperature sensors. Bottom: Camera 1 mounting cup sensor which closely traces the actual detector temperature. 223 224 2. 2.1. Böker, et al. NICMOS/NCS Performance in 2002 The Cooling System Performance Much effort had been spent over the last few years to understand the thermal performance of the NICMOS/NCS system. The latest pre-launch models had predicted a cooldown time of about 10 days. However, it became clear very soon that the NICMOS dewar was cooling much slower than expected, which triggered frequent revisions to the SMOV timeline, not only for NICMOS, but also for the other HST instruments. What made matters worse, early extrapolations of the cooldown profile indicated that the target temperature of around 77 K for the NICMOS detectors might not be reached. A number of options to increase the NCS cooling capacity or to reduce the parasitic heat load were discussed in a flurry of status meetings. The more drastic of these proposals included disabling the safety heaters that provide leakage protection of the cryogenic Neon lines. Finally, a decision was made to temporarily safe the NICMOS instrument in order to reduce the heat load from its electronic boxes. A consequence of this decision was the loss of all telemetry data from within NICMOS, and the interruption of the dark current monitoring program which was supposed to provide early indications of the NICMOS performance in the NCS era. However, the NICMOS safing resulted in an accelerated cooldown and, after about 4 weeks of continued cooling, the Neon gas inside the NCS circulator loop finally reached the target temperature of 72 K. NICMOS was switched on again, and the dark current measurements resumed while the system was stabilizing. Since the start of NCS operations, STScI has continously monitored the system performance. The thermal history of a few key temperature sensors until mid-November 2002 is summarized in Figure 1. The plots show that over the first 6 months of operation, the NCS has maintained the NICMOS detectors to within 0.1 K of their target temperature. The slight increase in the average detector temperature over the last month is probably a reflection of the hotter season for HST, as the earth currently is closer to the sun and hence the mean temperature of the HST aft shroud is slightly increased. STScI is currently investigating whether this trend is significant enough to warrant adjustments to the NCS control law. Because the NICMOS detectors react sensitively to temperature variations, the superb stability of the cooling system is extremely positive news for the scientific performance of NICMOS. In what follows, we discuss in some more detail the characteristics of the NICMOS detectors in the NCS era. 2.2. The Early NICMOS Calibration Program NICMOS datasets consist of a series of non-destructive detector readouts, with varying time intervals (∆-times) between reads. The observer can choose from a number of predefined sequences that are designed to optimize the dynamic range for a variety of science projects. For details about the readout sequences, we refer to the NICMOS instrument handbook at http://www.stsci.edu/hst/nicmos/documents/handbooks/v5/ . A number of proposals using different readout sequences were executed early in the SMOV process to assess the NCS performance and to obtain essential information about the NICMOS health and detector performance. Table 1 summarizes the programs that were used to derive the results presented in this paper. To a large extent, the data analysis procedures follow those of the NICMOS warm-up monitoring program after the cryogen depletion in early 1999. The analysis has been discussed in detail in Böker et al. (2001), and hence will not be repeated here. 2.3. Detective Quantum Efficiency The detective quantum efficiency (DQE) of the NICMOS detectors changes as a function of temperature, in the sense that higher operating temperatures result in higher sensitivity. NICMOS Detector Performance Table 1. 225 Summary of Early NICMOS SMOV Programs Program # 8944 8945 8975 8985 Purpose Filter wheel functional Dark current monitor Readnoise & Shading DQE Filter All Blank Blank All Readout Sequence ACCUM SPARS64 SCAMRR & STEP256 many Figure 2. NICMOS DQE: comparison between post-SM3B (at operating temperature of 77 K) and 1997/1998 (62 K) eras. This is one of the reasons why the re-instated NICMOS under NCS control was expected to be more efficient than during the solid cryogen era—at least for some science programs. This section quantifies the gain in DQE at the new operating temperature. Relative changes of the NICMOS DQE can be measured from “flat-field” exposures generated from a pair of “lamp off” and “lamp on” exposures. Both are exposures of the (random) sky through a particular filter, but one has the additional signal from a flat field calibration lamp. Differencing these two exposures then leaves the true flat-field response. The countrate in such an image is a direct (albeit relative) measure of the DQE. The DQE increase of the three NICMOS cameras between 77 K and 62 K as a function of wavelength is presented in Figure 2. From the DQE monitoring program during the 1999 instrument warmup, we were able to construct a model that predicts the DQE as a function of wavelength and temperature. This model—together with dark current predictions—provided the basis for the sensitivity calculations in the NICMOS exposure time calculator (ETC), a widely used web tool for NICMOS users. With the new post-SM3B data, we are now able to test the accuracy of 226 Böker, et al. Figure 3. Comparison of NICMOS DQE as measured during April 2002 to predictions based on data from the 1999 instrument warmup. this model, and to verify that the predicted exposure times for all NICMOS science projects are correct. In Figure 3, we compare the new DQE measurements through the NICMOS filter set to the model predictions. The plot demonstrates that the new data agree with the model predictions to within a few percent, which means that earlier sensitivity calculations are indeed accurate for the revived NICMOS. Because the flat-field lamps inside NICMOS have not been calibrated in an absolute sense, these data can not be used to determine the absolute DQE of the NICMOS detectors. This is a notoriously difficult problem, which typically relies on observations of standard stars with a well-known energy distribution over the NICMOS wavelength range. This calibration program is currently still under analysis. For the purpose of this paper, we show in Figure 4 the absolute DQE of the three NICMOS detectors—measured during NICMOS ground-testing at ≈ 60 K—compared to the same curve scaled by the linear fits to the relative DQE increase from Figure 2. This gives another impression of the sensitivity improvement under the NCS. 2.4. Read-out Noise Each NICMOS detector has four independent readout amplifiers, each of which reads a 128 × 128 pixel quadrant. The noise associated with the amplification process, commonly referred to as read-out noise, has been shown to be independent of temperature (Böker et al. 2001). However, it is important to answer whether the three-year hiatus in space has in any way degraded the performance of the NICMOS electronics. Subtracting the first two reads of a SPARS64 sequence eliminates all effects of bias variations or shading. The effective integration time of this difference image is only 0.3 s, too short for the linear dark current signal to become important. Therefore, the RMS deviation of the pixel values across the detector array is an accurate representation of the NICMOS Detector Performance 227 Figure 4. Approximate improvement of absolute DQE of the NICMOS detectors. Here, the pre-launch measurements have been scaled by the relative DQE increase as shown in Figure 2. intrinsic read-out noise of the detectors. From a series of about 400 such first-difference images, we determined the average RMS pixel-to-pixel variation across the three NICMOS detector arrays. The results, which are summarized in Table 2, indicate that the NICMOS noise levels are not in any way degraded from the pre-NCS values. Table 2. Read-out Noise of NICMOS Detectors Camera NIC1 NIC2 NIC3 2.5. RMS [DN] 5.1±0.15 5.1±0.15 4.6±0.15 Gain 5.4 5.4 6.5 Readnoise [e− /readpair] 27.5±0.8 27.5±0.8 29.9±0.9 Linear Dark Current The linear dark current (i.e., that component of the signal in a “dark” exposure that accumulates linearly with time) of the NICMOS detectors had been the subject of much debate and speculation over the last few years. The reason for this was an anomalously high dark current in the temperature range between 78 and 85 K that was observed during the 1999 warmup (Böker et al. 2001). The elevated dark current would have compromised NICMOS sensitivity (if it had to be operated in this temperature regime), and hence the question of whether or not the anomaly would be present after the cooldown was an important one. 228 Böker, et al. 60.18 105 Dark Current (e-/s) 104 71.46 Temperature (K) 87.96 114.3 163.3 0.0114 0.0087 1/T (Inverse Temperature) 0.0061 CAM 1 EOL Data SM3B Data 103 102 101 100 0.147 10-1 105 CAM 2 Dark Current (e-/s) 104 103 102 101 100 0.114 10-1 105 CAM 3 Dark Current (e-/s) 104 103 102 101 100 0.166 10-1 0.0166 0.0140 Figure 5. Linear dark current of all three NICMOS cameras as a function of temperature. The open symbols are from the 1999 instrument warm-up, while the closed symbols mark the new data obtained during and after the NCS cooldown. Note the good agreement in the exponential increase towards high temperatures, and the fact that the mean dark current at the new operating temperature of 77 K (plotted in e− s−1 ) is significantly lower than during the warm-up. NICMOS Detector Performance 229 The safing of the NICMOS instrument prevented dark current measurements for the better part of the cooldown. However, some non-saturated datasets were taken before the NICMOS safing, and the measurements resumed as soon as the NCS had reached its target temperature. These new measurements are shown in Figure 5, compared to the results of the 1999 warm-up monitor. It is clear that while the exponential increase at high temperatures is fully consistent between the two datasets, the anomalously high dark current around 82 K is absent in the new data. One minor concern is the fact that all three NICMOS arrays show an increased number of “hot” pixels, i.e., pixels with higher-than-average linear dark current. This is not entirely unexpected because the warmup monitor did show a similar behavior, although it was unclear at the time whether this was a transition effect that would disappear once the detectors stabilize in temperature. The new data show that the hot pixels are indeed a genuine feature of the new operating temperature. However, they can be fully corrected for by dithering NICMOS observations. 2.6. Amplifier Glow Amplifier glow is a well-known feature of NICMOS-3 arrays. It manifests itself as a spatially variable, but highly repeatable signal component in every detector read-out. The signal is highest in the corners of the array, i.e., closest to the read-out amplifiers, and gets fainter towards the center of the array. Typical values for the amplifier glow are 2 DN/read in the center of the array, and up to 15 DN/read in the corners, independent of detector temperature. The signal is extremely repeatable and can be well modeled and removed during pipeline calibration. The amplifier glow is measured by subtracting the first two reads in a STEP64 sequence which are only 0.3 s apart, thus making the signal contribution from the linear dark current negligible. In agreement with expectations, the amount and structure of amplifier glow is unchanged compared to NICMOS data obtained in 1997/1998. 2.7. Reset Level and Self-Calibration The reset level (i.e., the count level immediately following a detector reset) of the NICMOS detectors is extremely sensitive to temperature. With proper calibration, this fact can be exploited to use the reset level as a detector thermometer. In the absence of other reliable information, e.g. from diode sensors, this method can provide a means to correct for various temperature-dependent effects. Prior to the on-orbit testing of the NCS, estimates of its performance remained highly uncertain, both in terms of final operating temperature and stability. In addition, there was a real possibility that the operating temperature would fall above 78 K in which case the internal temperature sensors would become unusable due to the limits of their analog-todigital converters. For these reasons, the STScI NICMOS group spent a significant amount of work in order to use the reset levels to essentially enable self-calibration of NICMOS data. However, the surprising stability of the NCS, and the fact that at least some diode sensors within NICMOS are still within their usable range, allow consideration of an alternative strategy for NICMOS calibration. Given temperature variations of less than 0.1 K RMS since the start of active NCS control in mid-April, the NICMOS calibration pipeline could possibly rely on reference files taken at the actual operating temperature, at least for the near future. This possibility is currently under study. However, should the temperature stability of the NCS degrade significantly (RMS > 0.1 K), data self-calibration via the reset levels is the only viable option for the NICMOS pipeline. 230 Böker, et al. 2.8. Saturation Levels and Dynamic Range The saturation level of a given detector pixel is defined by the amount of charge “loaded” onto it during the detector reset (i.e., the well depth). The reset voltages of the NICMOS detectors and—to a much smaller degree—the capacitance of the pixel both vary with temperature, and hence the pixel saturation levels will also depend on the operating temperature. The flat field exposures taken after the cooldown allow us to measure the saturation levels at the new NICMOS operating temperature of 77K. The data suggest that for cameras 1 and 2, the average pixel saturates around 25,000 DN (or ≈ 135, 000e−s−1 ) which is about 15% lower than during the nitrogen period. For camera 3, the reduction is only about 7%. This rather small loss in dynamic range of NICMOS data can be compensated for by a proper choice of readout sequences, so that NICMOS will be able to execute the same wide range of science projects as before. 2.9. Cosmic Ray Persistence The NICMOS detector are susceptible to image persistence from a bright source, for example a luminous star or a cosmic ray hit. Persistence signal from cosmic ray hits is a problem especially for exposures taken soon after an HST passage through the South Atlantic Anomaly (SAA), a region in the Earth’s atmosphere with higher than average cosmic ray incidence. The random spatial distribution of the cosmic ray “afterglows” is effectively an additional component to the dark current. It increases the noise level in the image and therefore limits faint source detections. Some of the dark current monitoring data were taken soon after an SAA passage. Our analysis of these datasets indicates that the persistence signal decays exponentially over a period of about 30 min. This is the same timescale as in the solid nitrogen period, and hence new NICMOS datasets will be affected by cosmic rays in much the same way as the old ones did. However, for the upcoming NICMOS science program, STScI plans to automatically schedule a pair of dark exposures immediately following each SAA passage in order to provide a map of the persistent cosmic ray afterglow. Experiments using 1998 NICMOS data have shown that it is possible to scale and subtract such “post-SAA” darks from subsequent science exposures, and thus to significantly reduce the impact of CR persistence. A more detailed advisory on how to use the “post-SAA” darks will be distributed soon. 2.10. Detector Cosmetics All NICMOS detector arrays have a small number of particulates on their surfaces. These are believed to be flecks of black paint scraped off the baffles during the mechanical deformation that led to the accelerated cryogen depletion. There was some concern that the warmup and subsequent cooldown with their associated mechanical motions could have produced an increased number of these particles. Fortunately, these concerns are not confirmed. Except for one additional particle in the lower right corner of camera 1, no new contaminants are apparent in the SMOV data. Moreover, the number of “bad” pixels (i.e., pixels with significantly degraded responsivity) is roughly the same as before, so that the cosmetic appearance of the NICMOS detectors is as good as in the pre-NCS era. 3. Summary We have described various aspects of the detector performance of the reinstated NICMOS instrument. All parameters are in line with expectations, and will enable a “better-thanever” scientific performance of NICMOS. In particular, the DQE increase agrees very well with models derived from the 1999 warmup, and the linear dark current shows no sign of anomalously high levels. Other parameters such as readnoise, amplifier glow, or detector cosmetics are unchanged compared to the “old” NICMOS. Together with the stable and NICMOS Detector Performance 231 quiet performance of the cooling system, HST and NICMOS are in great shape for new, exciting scientific discoveries. Acknowledgments. It is impossible to name all individuals who have helped to make the idea of a NICMOS revival become a reality. We are indebted to the NCS team at GSFC for making the cooling system a success, to the GSFC thermal group for their continued assistance in modeling the NICMOS/NCS system, and to the NICMOS group at UofA, in particular G. Schneider and R. Thompson, for invaluable help in the design and analysis of the NICMOS verification and calibration program. References Böker, T., et al. 2001, PASP, 113, 859 Cheng, E. S., Smith, R. C., Jedrich, N. M., Gibbon, J. A., Cottingham, D. A., Swift, W. L., & Dame, R. E. 1998, SPIE Proc., 3356, 1149 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. NICMOS Photometric Calibration Mark Dickinson, Megan Sosey Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Marcia Rieke Steward Observatory, Tucson, AZ Ralph Bohlin, Daniela Calzetti Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. We review procedures and measurements used to calibrate the photometric zeropoints of the HST Near Infrared Camera and Multiobject Spectrograph (NICMOS). New spectrophotometric models of solar analog and white dwarf standard stars have been calibrated and tested against ground-based photometry, as well as against one another using NICMOS observations through many filters. These are then used to derive the bandpass-averaged flux densities of these stars through the NICMOS filters. We describe the characteristics of the on-orbit standard star observations made in Cycle 7, and the procedures used to correct finite aperture measurements to total count rates, and finally to derive the NICMOS zeropoints. We conclude with preliminary measurements of the increase in delivered quantum efficiency (DQE) at the warmer operating temperatures for Cycle 11. 1. Introduction The photometric calibration of NICMOS is challenging for several reasons. During the first lifetime of NICMOS, in Cycles 7 and 7N, our knowledge of the camera, detectors, and of the means to process and calibrate the data evolved substantially. This affected the quality of early NICMOS photometric calibrations. There are still limits to the quality and reproducibility of NICMOS photometry due to certain instrumental effects such as intrapixel sensitivity, as discussed below. Second, flux calibration in the near-infrared is challenging in general, due to the lack of absolutely calibrated spectrophotometry for primary standard stars. Moreover, ground-based calibrations are restricted to measurements in the J, H and K atmospheric windows. NICMOS filters have no such limitation, and indeed do not correspond to standard, ground-based bandpasses, adding further complication to the process of photometric calibration. Here we review the procedures used to calibrate NICMOS photometry in Cycle 7, when the instrument was operating at T ≈ 61.5 K. In era of the NICMOS Cooling System (NCS), the instrument is significantly warmer, T = 77.1 K. The detector DQE has changed (increased) substantially, and the photometric calibration constants have changed as well. At the time of this writing, the recalibration of NICMOS photometry for Cycle 11 is underway, and we present only very preliminary results. 232 NICMOS Photometric Calibration 2. 233 NICMOS Standard Stars In order to calibrate NICMOS photometry, we must observe standard stars for which we believe we understand the flux distribution with wavelength. No direct spectrophotometric observations of standard stars with continuous wavelength coverage are available over the near-infrared wavelengths covered by NICMOS. Instead, we choose stars for which we believe we understand the expected spectrophotometry, and then check and calibrate this with ground-based broad-band photometry. Two types of stars have been used: solar analogs, and hydrogen white dwarfs. The near-IR spectral energy distribution of the Sun is known to reasonably good accuracy (Colina, Bohlin & Castelli 1996), and for a good solar analog we may scale the solar spectrum to match the JHK ground-based photometry of the standard star and adopt it as our model. Hydrogen white dwarf stars have comparatively simple atmospheres which have been accurately modeled, and are commonly used for HST calibration at UV and optical wavelengths. These models have been extended to infrared wavelengths, and then as with the solar analogs, they can be scaled to match ground-based JHK photometry of a particular standard star. The NICMOS photometric calibration programs in Cycle 7 observed several different standard stars. The solar analog P330E and the white dwarf G191B2B were the primary stars, observed through all filters in all cameras. P330E was also the main target for the NICMOS photometric monitoring program, and thus has many repeated observations through a limited set of filters over the instrument lifetime. Two other “ordinary” standards were observed through a limited subset of NICMOS filters: the solar analog P177D, and the white dwarf GD153. Finally, three red stars, BRI0021, CSKD−12, and OPH−S1, were observed to assess filter red leaks and color transformations. We will not discuss those red stars further at this time. Ground-based JHK photometry of the solar analogs and the white dwarf G191B2B was calibrated by Persson et al. (1998, and priv. comm.), primarily from the Las Campanas Observatory. We will refer to those observations as photometry on the “LCO system,” which was nominally calibrated to the “CIT system” of Elias et al. (1982). The other white dwarfs are UKIRT faint standard stars (Hawarden et al. 2001), and we have derived empirical color transformations to place those observations onto the LCO system. 2.1. Absolute Flux Calibration for the LCO System Campins, Rieke & Lebofsky (1985) derived an absolute flux calibration for the Arizona infrared photometric system using the solar analog method.1 Their Table IV summarizes their derived absolute flux measurements for α Lyr at J and K from Blackwell et al. (1983), who compared stellar photometry to an absolutely calibrated terrestrial source, and at J, H and K from the Campins et al. solar analog method. They adopt an average value for each bandpass, which we use as our assumed flux calibration for the Arizona system. The effective wavelengths and bandwidths of the Arizona photometric passbands are not identical to those of the LCO filters (see Figure 1). Therefore we must correct the Campins et al. flux zeropoints measurements to the LCO bandpass system. To do this, we have used a Kurucz model atmosphere for α Lyr. We have not assumed that the absolute flux of this model is correct, nor even that its shape accurately represents that of Vega over a long wavelength baseline, but have only used it to transfer the empirical flux calibration from Campins et al. to the LCO bandpasses: fν (CRL) × 1 fν (model)LCO = fν (LCO, transferred), fν (model)Az In the Arizona system, α Lyr has J = H = K = 0.02, whereas in the CIT system it is defined to have mag = 0. 234 Dickinson, et al. Figure 1. Comparison of the J, H, K, and Ks bandpasses used in the standard star photometry of Persson et al. (1998) (the “LCO system”) with tapered boxcars representing the bandpasses of the Arizona system, for which Campins et al. (1985) have presented absolute flux calibration. The effects of atmospheric absorption on the net bandpass functions are also illustrated. where fν (CRL) is the Campins et al. flux density measurement, and fν (model)X indicates the bandpass-averaged flux density computed using the α Lyr model and filter system X. In this way, we assume that (1) our bandpass functions for the two systems are accurately determined, and (2) the Vega model is relatively accurate over the wavelength interval between the two “versions” of a given bandpass. Given the dimensionless system throughput (filter transmission times DQE) for the LCO filter system, it is straightforward to integrate the spectrophotometric models through the LCO bandpasses to derive bandpass-averaged flux densities. Compare these to the ground–based photometry, however, requires an absolute flux calibration for the LCO photometric system. The LCO system is calibrated to the CIT standards of Elias et al. (1982). The CIT system is nominally calibrated so that α Lyrae has zero magnitude at JHK. We assume here that this is correct, and thus require an absolute flux calibration for α Lyrae through the LCO filters. 3. Spectrophotometric Data and Models In this way, we have JHK photometry in the LCO system for the four basic NICMOS standards, as well as Ks photometry for the solar analogs. Bohlin, Calzetti & Dickinson (2001) obtained high-quality STIS spectrophotometry in the wavelength range 1150–10200 Å for HST standard stars including P330E and G191B2B. They have made a detailed comparison to stellar atmosphere models in terms of effective temperature, reddening, etc. They use the solar spectrum and white dwarf atmosphere models to extend the spectrophotometry to near-infrared wavelengths. We integrated the spectrophotometric models through the LCO infrared bandpasses to generate synthetic photometry. Figure 2 shows the relative magnitude differences between these models and the observed JHK and, for some objects, Ks , photometry. (The points for NICMOS Photometric Calibration 235 Figure 2. Magnitude differences between ground-based photometry of NICMOS standard stars and synthetic photometry derived by integrating the model spectra of Bohlin et al. (2001) through the nominal NICMOS bandpasses. The panel at upper left shows the result of integrating the Vega model atmosphere retrieved from CDBS (Calibration Database and Operations) at STScI, compared to an assumed m = 0. “Vega” compare the CDBS model Vega spectrum to the definition m = 0. The agreement is not particularly good, suggesting that the absolute flux calibration of the Vega model in the near-infrared is not particularly accurate.) For most of the NICMOS standards, the agreement at J and K is well within the uncertainties (taken as the quadrature sum of the ground-based standard star photometry and the quoted systematic uncertainty of the Campins et al. JHK flux zeropoints). At H-band, all of the stars fall systematically below zero offset, although in general by something only slightly larger than the uncertainty in the Campins et al. calibration. Since this is seen for both the solar analog and white dwarf model spectra, and for stars with both LCO and UKIRT photometry, we are inclined to believe that the error is mainly in the Campins et al. flux calibration for the H-band, which also required the largest color correction between the Arizona and LCO/CIT systems. We therefore adopt the Bohlin et al. model spectra for NICMOS flux calibration. 4. NICMOS Cycle 7 Standard Star Observations The NICMOS standards P330E and G191B2B were observed in various Cycle 7 calibration programs. For some filters there were a large number of independent observations, while for others there were only a few (as few as three) exposures taken during Cycle 7. The data were processed using the most up-to-date calibration reference files (including temperaturedependent dark frames) and pipeline software, together with some post-processing to remove the NICMOS “pedestal” offset and residual bias “shading.” Photometry for all stars was 236 Dickinson, et al. Figure 3. Examples of NICMOS Cycle 7 on-orbit measurements of the count rate from the standard star P330E, in two filters from NICMOS camera 1. F110W (left) was observed many times throughout Cycle 7 as part of the photometric monitoring program. Other filters, such as F166N (right) were observed only once, with three dither positions. measured in a set of standard apertures, with diameters 1 , 1 , and 2 for cameras 1, 2 and 3, respectively. Examples of the photometry for two filters in camera 1, showing cases with many and few individual exposures, are shown in Figure 3. Occasional outlier points were rejected—these generally occurred when the star fell onto some bad pixels, “grot,” or the unstable central column or row of the detector. Unfortunately, when only 3 exposures were obtained, this sometimes led to a “2-out-of-3” vote on the mean count rate. The photometric scatter is acceptably small for most filters in cameras 1 and 2, although for some of the narrow band filters the signal-to-noise ratio of the individual exposures was disappointingly low. For camera 3, the scatter was appreciably larger, especially at short wavelengths. This is due to the effects of intrapixel sensitivity—the NICMOS detector responsivity varies within the area of a pixel, and the highly undersampled PSF of the short wavelength NIC3 observations results in significant count rate variations for a point source depending on where it was centered within the pixel. This can be seen in the left panel of Figure 4, which shows NIC3 photometry for F110W. At longer wavelengths, the diffraction limit broadens the PSF and the effects of undersampling and intrapixel sensitivity variations are substantially smaller (right panel of Figure 4). The RMS of the count rate measurements (after outlier rejection) in camera 3 is plotted versus wavelength in Figure√5. For filters with a large number N of exposures, this RMS averages down by roughly N , providing acceptable mean count rates. However, some NIC3 filters have only a few observations, leading to large uncertainties in the final calibrations. Aperture corrections to total count rates were computed using Tiny Tim (Krist & Hook 2001) model PSFs, generated for each camera and filter combination. These were “photometered” using the same aperture sizes and background annuli to account for PSF spill-over into the regions used for background subtraction. The adopted aperture corrections are shown in Figure 6, and depend strongly on wavelength as the diffraction limit varies. Early Cycle 7 photometric calibration adopted overly simplistic, constant aperture corrections for all filters, leading to significant errors in the derived zeropoints. NICMOS Photometric Calibration Figure 4. More NICMOS Cycle 7 standard star count rate measurements, this time for camera 3. The effects of intrapixel sensitivity variations introduce a large scatter in the measured count rates for undersampled point spread functions, such as the F110W data shown at right. This is reduced at longer wavelengths, where the broader diffraction limit reduces the impact of undersampling. Figure 5. The RMS of individual standard star measurements for NICMOS camera 3 filters, plotted as a function of wavelength. The reduced scatter at longer wavelengths is readily apparent. (Circles: P330E; Squares: G191B2B) 237 238 Dickinson, et al. Figure 6. Aperture corrections from measured to total count rates, derived from Tiny Tim PSF models, plotted against filter effective wavelength. The horizontal lines show the constant aperture corrections that were adopted for preliminary NICMOS photometric calibrations early in Cycle 7. 5. Cycle 7 Zeropoints NICMOS photometric calibration is encoded in the image headers (and PHOTTAB reference files) with the keywords PHOTFNU and PHOTFLAM, representing the bandpassaveraged flux densities (in fν and fλ , respectively) corresponding to a count rate of 1 ADU/ second. These are computed by integrating the standard star spectrophotometric models through the NICMOS bandpass functions (including all optical and detector throughput elements), and dividing by the measured, aperture-corrected mean standard star count rates. With earlier calibrations, there was a significant discrepancy between zeropoint results for the solar analog P330E and the white dwarf G191B2B. With the new spectrophotometric models, the agreement is generally very good (see Figure 7)—within the measurement errors for many filters, generally < 3%, and rarely > 5%. The agreement is also excellent for the ground-based JHK photometry, also shown on Figure 7; here, any uncertainties in the Campins et al. absolute flux calibrations divide out, showing that the two stars genuinely agree with one another to good precision. The agreement is best when we use recent non-LTE model atmospheres with metals to represent the white dwarf (Hubeny, private communication), rather than earlier, pure hydrogen, LTE models, and we have therefore adopted these for the NICMOS calibrations. The final NICMOS photometric calibration constants were taken to be the unweighted mean of values derived for P330E and G191B2B, in order to average over the systematic uncertainties of the spectrophotometric models for these two stars. The derived Cycle 7 calibration constants are given in the NICMOS Data Handbook. NICMOS Photometric Calibration 239 Figure 7. Ratio of photometric calibration constants (PHOTFNU) derived for two different standard stars: the solar analog P330E, and the white dwarf G191B2B. The calibrations agree within 3% for most NICMOS filters and well within the errors for the ground-based photometry, giving confidence that the spectrophotometric models of these two very different stars are accurate. 6. Cycle 11 Recalibration The NICMOS operating temperature under control of the NCS is substantially warmer than it was in Cycle 7, necessitating a complete recalibration of the photometric zeropoints for Cycle 11. P330E and G191B2B have been reobserved, and care was taken to increase the number of dither positions, especially for camera 3, where intrapixel sensitivity variations are most important. As of this writing, a preliminary analysis of the standard star data has been carried out by Marcia Rieke of the NICMOS IDT. Early results, showing the ratio of total throughput for Cycle 11 compared to Cycle 7, are shown in Figure 8. As anticipated, the detector DQE is substantially higher at the warmer operating temperature, particularly at shorter wavelengths; the gain is ∼ 60% for F110W, ∼ 35% for F160W, and ∼ 20% for F222M. This increase in DQE results in improved signal-to-noise ratios for most observations, more than offsetting the increased noise from dark current. Final analysis of the new NICMOS zeropoints has awaited the recalibration of other aspects of NICMOS instrument and detector performance, particularly flat fields, darks, and nonlinearity corrections. When these are complete (and as of this writing this is nearly the case), the standard star observations will be reprocessed and reanalyzed, and final photometric keywords will be derived and placed into the PHOTTAB table used by the OPUS data processing pipeline. Until that time, NICMOS data retrieved from the STScI archive will have incorrect header information for PHOTFNU and PHOTFLAM; observers should watch the STScI NICMOS web pages and the Space Telescope Analysis Newsletter for updates as they become available. 240 Dickinson, et al. Figure 8. Preliminary comparison of NICMOS sensitivity in Cycle 11 to that from Cycle 7, based on an early analysis of Cycle 11 photometric calibration data for P330E, carried out by Marcia Rieke. References Blackwell, D. M., Leggett, S. K., Petford, A. D., Mountain, C. M., & Selby, M. J. 1983, MNRAS, 205, 897 Bohlin, R. C., Dickinson, M., & Calzetti, D. 2001, AJ, 122, 2118 Campins, H., Rieke, G. H., & Lebofsky, M. J. 1985, AJ, 90, 896 Colina, L., Bohlin, R. C., & Castelli, F. 1996, AJ, 112, 307 Elias, J. H., Frogel, J. A., Matthews, K., & Neugebauer, G. 1982, AJ, 87, 1029 Hawarden, T. G., Leggett, S. K., Letawsky, M. B., Ballantyne, D. R., & Casali, M. M. 2001, MNRAS, 325, 563 Krist, J. & Hook, R., 2001, The Tiny Tim User’s Guide (Baltimore: STScI) Persson, S. E., Murphy, D. C., Krzeminski, W., Roth, M., & Rieke, M. 1998, AJ, 116, 2475 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. NICMOS Grism Calibrations Rodger I. Thompson Steward Observatory and Department of Astronomy, University of Arizona, Tucson, AZ 85721 Wolfram Freudling Space Telescope-European Coordinating Facility, Garching, Germany Abstract. Installation of the NICMOS cryocooler has restored NICMOS to operational status and has necessitated a recalibration of its primary capabilities including grism observations. This paper describes the results of the recalibration. Most properties of the grisms are essentially unchanged. The principal change has been the different quantum efficiency versus wavelength properties of the detectors. The quantum efficiency is higher at all wavelengths, particularly so at the shorter wavelengths. 1. Introduction The Near Infrared Camera and Multi-Object Spectrometer (NICMOS) contains three grisms for multi-object infrared spectroscopy with the Hubble Space Telescope (HST ). A grism is a combination of grating and prism that produces a dispersed spectrum with a selected wavelength at essentially the same position as the image of the object in the field of view. The selected wavelength is determined by a combination of the dispersions of the grating and prism. In the case of the NICMOS grisms an interference filter was coated on the front face of the grism to prevent mixing of orders. The front face of the grism is perpendicular to the optical axis of the incoming light and the grating is ruled on the back side of the grism. The ruled faces of the grating grooves are parallel to the front face to provide the proper blaze for the first order. Depending on the location of the object in the image, the zero, first, and second orders can appear in the field of view. The grisms are in the Camera 3 filter wheel. When in position they are very near the cold pupil of the camera. The optical beam passes through the grism at f/17 as opposed to the usual parallel beam. The effect of the convergent beam on the spectrum is negligible given the large 0.2 arcsecond pixels in camera 3. There are three grisms, G096, G141, and G206 with undeviated wavelengths of 0.94, 1.40, and 2.04 microns. On March 8, 2002 the NICMOS Cooling System (NCS) was installed on the HST to restore NICMOS observational capabilities. The cooler established the final detector (mounting cup sensor) set point temperature on May 10, 2002 at 77.1 degrees Kelvin and the vapor cooled shield at 112 degrees Kelvin. The temperature of the vapor cooled shield will be approximately the temperature of the NICMOS grisms that reside in the camera 3 filter wheel which is thermally tied to the vapor cooled shield. Both of these temperatures are different from the operation in Cycle 7, requiring a recalibration of the grisms. The primary difference in operation is due to the different operating temperature of the NICMOS detectors. The quantum efficiency versus wavelength of each camera 3 pixel must be redetermined to accurately reduce grism spectra. The warmer grism temperature can result in a slightly different dispersion solution. Mechanical distortion created by the instrument warming and subsequent recooling can produce geometric effects such as a change in the tilt of the spectrum on the detector. 241 242 Thompson and Freudling Figure 1. 2. Image and Spectrum Offset. Observations Proposal 8991 contains all of the grism calibration observations. The solar analog star P330E provides a flux calibrated source to determine the grism-filter efficiency and geometric factors. The compact emission line object Hubble 12 provides multiple spectral lines in each grism for the calculation of the dispersion relation. The NICMOS detectors have significant differences in sensitivity over the area of the detector and within the area of a single pixel. To mitigate this effect images and spectra of each of the two objects were taken at 15 different positions in the camera 3 field of view. The entire first order spectrum is visible at all positions and the zero or second orders are visible at many of the positions. 3. Data Analysis The basic steps in the data analysis are decomposition of the multiaccum integration into the individual image readouts minus the first read to remove kTC noise, subtraction of the appropriate dark individual readouts for the same multiaccum pattern, correction for linearity, removal of cosmic rays, flat fielding if it is an image but not if it is a spectrum and then correction of known bad pixels. All of this is done with IDL procedures developed by the first author. 4. Geometric Parameters The geometric parameters for the grisms include the dispersion relation in terms of wavelength per pixel, the angle of the dispersed spectrum relative to the axes of the detector, the offset of the spectrum from the image position and the wavelength of the image position. 4.1. Offset of the Spectrum from the Image and Spectrum Slope Taking the dispersion direction as the x axis, the image location is offset in the y direction from the spectrum as shown in Figure 1, which is a combination of the F160W image and the G141 spectrum for one of the dither pattern positions. The offset of the spectrum from the image position for the 15 P330E image and spectra was measured for all three grisms by the following process. The centroids of the F160W image positions were measured with the IDL based procedure Image Display Paradigm (IDP3) developed by the IDT. Note that a check of this procedure relative to several different IRAF procedures revealed significant differences in results on the order of 0.5 pixels. The results from the IRAF procedures were found to vary by the same order of magnitude relative to each other. Because of this the results reported in this report differ from the results used at the Space Telescope–European Coordinating Facility (ST-ECF) for HST in Garching, Germany. For a reason not known at the present time the largest differences occur in the IRAF routine IMCENT. NICMOS Grism Calibration 243 The spectral positions were determined by finding the peak signal position in y for each column of pixels intersecting the first order by gaussian fitting and then finding the best least squares linear fit to those values. In practice this fit always intersected the zero or second order if they were present in the image. The offset was taken as the difference in y pixel values between the centroid of the image and the fit to the spectrum at the x value of the centroid. The slope of the fit also gave the slope of the spectrum relative to the x axis of the detector in y pixels per x pixel. The angle of the spectrum is taken as positive for a counter clockwise rotation. The values of the parameters are given in Table 1. The quoted standard deviations are only from the statistics of the 15 fits. Table 1. Grism G096 G141 G206 4.2. NCS Era Grism Offset and Slope Parameters Offset −4.3 −6.7 −2.0 Offset std dev 0.4 0.4 0.4 Slope 0.054 0.013 0.023 Slope std dev 0.003 0.003 0.003 Angle in Degrees 3.1 0.73 1.3 Grism Dispersion Relations The line spectra of Hubble 12 defined the spectral dispersion relation for each grism. The IDL procedure for determining the dispersion assumes that the dispersion relation is linear. This assumption was checked against the observed lines and appears to be accurate within the spectral resolution of the grisms. The procedure takes three prominent and widely spaced lines in each spectrum and finds the best fit using the IDL function POLY FIT. Table 2 gives the vacuum wavelengths of the lines used in the analysis. The dispersion solution is for vacuum wavelengths. Table 2. Wavelengths in Microns of the Lines Used in the Dispersion Solution Grism G096 G141 G206 Line 1 1.0832 1.8756 2.16609 Line 2 1.00507 1.28216 2.0581 Line 3 .953461 1.0832 1.8756 Note that adjacent wavelength grisms have a line in common to make sure the dispersion solutions match across grism boundaries. An interactive program displays each of the 15 Hubble 12 spectra for a given grism and asks the operator to mark the position of the 3 lines used for the dispersion solution. The line center is found by fitting a Gaussian to the line using the IDL function GAUSSFIT. The center wavelength (the constant) and the dispersion (the slope) are the averages of the 15 measurements and the standard deviation is calculated from the scatter of the measurement values by the IDL function MOMENT. Table 3 shows the results of the measurements. Note that the standard deviation is from the measurements only and does not reflect any possible systematic errors. Only the first order dispersion was measured. The second order should be 1/2 of the dispersion of the first order giving spectra at twice the resolution of the first order. Table 4 gives the regions of the zero, first, and second orders relative to the image position which marks the center wavelength. None of the positions of the spectra were far enough offset to see the long wavelength end of the second order, therefore those positions are upper limits on the extent. Note that the second order fades toward the long wavelength end as the angle of dispersion get further from the blaze angle. 244 Thompson and Freudling Table 3. Grism G096 G141 G206 Table 4. Dispersion Solutions for the First Order of the NICMOS Grisms Center Wavelength (microns) 0.9415 1.396 2.039 Center Wavelength Std. Dev 0.002 0.001 0.001 Dispersion (microns/pixel) −0.00552 −0.008016 −0.011353 Dispersion Std. Dev. 0.0001 5 × 10−6 4 × 10−5 Pixel Positions for the Grism Orders Grism G096 G141 G206 Zero +163–+167 +165–+170 +166–+173 First −46–+27 −65–+40 −43–+58 Second −110–< −184 −91–< −184 −57–< −184 Using the dispersion solutions listed in Table 3 the wavelengths of the observed spectrum of Hubble 12 were calculated. Figure 2 through Figure 4 show the observed grism spectrum with the higher resolution ground based spectra overplotted. The ground based spectra in the J, H, and K bands are from Luhman & Rieke 1996 and the shorter wavelength spectra are from Rudy et al. 1993. Since the Rudy data was not available in digitized form, narrow triangular lines were just placed at the wavelengths of the observed lines in the published line list, adjusted to vacuum wavelengths. 5. Efficiency Calibration The second part of the grism calibration is a determination of the efficiency. The observed signal for a pixel in the spectrum is given by S(λ) = F (λ)GE(λ)F E(λ)QE(λ) , (1) where F (λ) is the object flux in photons per second, GE(λ) is the grism efficiency, F E(λ) is the filter efficiency and QE(λ) is the quantum efficiency of the pixel. Since the filter is applied directly to the front face of the grism it is combined with the grism efficiency for a total grism efficiency such that G(λ) = GE(λ)F E(λ) 5.1. (2) Input Spectrum The solar analog P330-E provides the known input flux and spectrum F (λ). The detailed solar spectrum (Wallace, Hinkle & Livingston 1993, Livingston & Wallace 1991) is matched to the fluxes and slopes of ground based spectra of P330-E taken by Marcia Rieke (unpublished) and the NICMOS calibrated fluxes of P330-E. This detailed spectrum is then convolved with the NICMOS Camera 3 PSF and grism spectral resolution to provide the input spectrum. 5.2. Pixel Quantum Efficiency The remaining task is determination of the quantum efficiency of each pixel in the Camera 3 array as a function of wavelength. This is done using the Camera 3 narrow band filter flat NICMOS Grism Calibration Figure 2. G096 Spectrum of Hubble 12. Figure 3. G141 Spectrum of Hubble 12. 245 246 Thompson and Freudling Figure 4. G206 Spectrum of Hubble 12. fields. The flat fields created by the IDT have a median of 1 and are multiplicative, i.e., the image is flattened by multiplying by the flat field. The procedures for creating the flat fields are covered in Section 5.3. The median response in Janskys per ADUs/sec for each flat field has been measured in the photometric recalibration of NICMOS. This data has been analyzed by Marcia Rieke and Table 5 gives the median response for the Camera 3 narrow band filters. Table 5. Camera 3 Narrow Band Filter Responses Filter F108N F113N F164N F166N F187N F190N F196N F200N F212N F215N Janskys/(ADU/sec) 1.01E-04 8.57E-05 3.99E-05 4.28E-05 3.86E-05 3.89E-05 3.65E-05 3.58E-05 3.65E-05 4.03E-05 For each pixel the median responses are divided by the flat field value to get the response of the pixel at the narrow band wavelengths. The responses are then fit with a quadratic function to provide the response of the pixel with wavelength by an IDL procedure. This procedure does not fit the long wavelength roll off of the detector since none of the narrow band filters fall at those wavelengths and the broad band filters are too broad to measure it. The only narrow band data that measure the roll off are from the laboratory testing done at the University of Arizona before flight. The G206 grism is the only grism that includes the roll off. For that wavelength region the measure preflight roll off is matched to the current response at 2.44 microns to provide the roll off. More accurate determination NICMOS Grism Calibration Figure 5. 247 The NICMOS Grism Efficiencies. can be achieved by using the G206 spectra of P330-E but only for those pixels that happen to lie in that part of the spectrum. 5.3. Camera 3 Narrow Band Filter Flat Fields All of the Camera 3 narrow band filter flat field observations used in this analysis come from Proposal 9557. The reduction procedure for the individual observations is the same as described in Section 3.0 with two exceptions. First the flat field correction step is obviously skipped. The second exception has to do with the nature of the data. The observations in all of the data sets were driven to extremely nonlinear regions and often to saturation. Since the linearity corrections for the NCS era have not yet been developed it was not possible to correct for nonlinearity. Instead, the cosmic ray correction procedure, which also finds the signal rate, was limited to only the linear regions. This was done with the special cosmic ray correction procedures that accept a parameter indicating how many reads to eliminate from the analysis. This parameter was determined by individual examination of the signal growth in each filter. After the individual observations were reduced the final flat field was created by taking the median of all of the images, taking the reciprocal of all of the values, and setting the median of the result equal to 1.0. Flat fielding is then accomplished by multiplying an image by the flat field. 5.4. Derived Grism Efficiency Functions The calculated grism efficiencies are shown in Figure 5 for each of the grisms. The high frequency structures in the efficiency are due to the interference filters. 5.5. Intrapixel Sensitivity It is well known that the sensitivity of the NICMOS detector array pixels is not constant across the face of the pixel. The sensitivity decreases toward the edges of the pixel. Although not confirmed by experiment it is probable that the degree of sensitivity decrease varies from pixel to pixel. There are various methods to correct for this problem depending on the nature and signal to noise of the spectrum. The efficacy of the various methods has been debated and it is not clear which method works the best. The spectra used in this 248 Thompson and Freudling analysis have not been corrected by any of these methods. Instead we have dithered the observations to 15 different positions and have used a final spectrum that is the median of the 15 individual spectra to mitigate the effect of intrapixel sensitivity. 6. Calibration Data All of the NICMOS grism calibration results have been provided to the Space Telescope Science Institute (STScI) for inclusion in their data base. Inquiries about grism calibration or data reduction should be directed to either STScI or the Space Telescope-European Coordinating Facility (ST-ECF). The ST-ECF maintains a NICMOS grism data reduction program called NICMOSlook which can be obtained from the ST-ECF at http://stecf.org/nicmoslook. The current version is 2.12.0. The distribution of NICMOSlook includes calibration data compatible with the results presented here. Acknowledgments. This work is supported in part by NASA grant NAG 5-10843. This work utilized observations with the NASA/ESA Hubble Space Telescope, obtained at the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy under NASA contract NAS5-26555. References Livingston, W. & Wallace, L. 1991, N. S. O. Technical Report #91-001, National Solar Observatory, National Optical Astronomy Observatories, Tucson, AZ 85726 Luhman, K. L. & Rieke, G. H. 1996, ApJ, 461, 298 Rudy, R. J., Rossano, G. S., Erwin, P., Puetter, R. C., & Feibelman, W. A. 1993, AJ, 105, 1002 Wallace, L., Hinkle, K., & Livingston, W. 1993, N. S. O. Technical Report #93-001, National Solar Observatory, National Optical Astronomy Observatories, Tucson, AZ 85726 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Coronagraphy with NICMOS Glenn Schneider Steward Observatory, University of Arizona, Tucson, AZ 85721 USA Abstract. The Near Infrared Camera and Multi-Object Spectrometer (NICMOS) provides a coronagraphic imaging capability in camera 2. NICMOS PSF-subtracted coronagraphy routinely results in per-pixel background rejections of ∼ 107 of an occulted target’s total flux density at an angular distance of 1 , thus providing a highcontrast lever for the detection of close sub-stellar companions. At 1.1 µm (with an ∼ 0. 1 spatial resolution), occulted starlight is typically reduced by a factor of 105 over a 2 -3 annulus, thereby enabling the detection and spatially resolved imaging of low surface brightness material in circumstellar environments. Achieving these performance levels in inherently very high contrast fields while maintaining photometric and astrometric fidelity is challenging and requires careful planning, reduction, calibration and post-processing of coronagraphic imaging data in the presence of residual systematic artifacts. We discuss coronagraphic calibration/processing methodologies developed by the NICMOS IDT (successfully applied to Cycle 7 and 11 data), with recommendations for future observations in light of the ongoing re-verification of NICMOS coronagraphy following SM3B. 1. Introduction The Hubble Space Telescope (HST ) provides a unique venue for high contrast imaging which is further exploited by NICMOS with the incorporation of coronagraphic optics in its intermediate resolution camera (camera 2 with ∼ 76 mas square pixels). After internally correcting for the well-known spherical aberration in the HST primary mirror, NICMOS+HST delivers diffraction limited images with Strehl ratios panchromatically exceeding 98% in the obscured pupil. Moreover, the NICMOS+HST PSF is highly stable and repeatable, which permits extremely effective and efficient PSF subtraction. Coronagraphic PSF subtraction is enabled by the high degree of targeting precision afforded by the HST pointing control system coupled with autonomous target location and acquisition logic in the NICMOS and HST flight software (FSW). Coronagraphically occulted targets are typically positioned “behind” the occulting spot to an accuracy of ∼ 8 mas and with a post-acquisition stability of ∼ ±4 mas. Intra-orbit field rotation on sub-orbit timescales (by rolling the telescope around the line-of-site to the target) permits the identification and rejection of residual optical artifacts. Such artifacts are rotationally invariant in the image plane of the detector, whereas circumstellar features of astronomical origin are not. The NICMOS detector’s multiple non-destructive readout mode (multiaccum) and 16bit (per read) digital data quantization is well-suited for the high contrast capabilities of its coronagraph (Schneider et al. 1998). Typical multiaccum readout strategies permit a sampling dynamic range of ∼ 20 stellar magnitudes in a single visibility period, key to the detection of faint objects in the presence of bright ones. In H -band, the NICMOS coronagraph reduces the background scattered and diffracted energy from coronagraphically occulted targets by factors of ∼ 10 at the edge of the 0.3 radius occulted region, ∼ 4 at 0.5–1.5 and ∼ 2 beyond 2 . After coronagraphic PSF subtraction (i.e., by rotating the field) the background light is further reduced by factors 249 250 Schneider Radius (Pixels) from Hole Center 5 7 9 11 13 16 B A C K G R O U N D R E D U C T I O N 15 14 13 12 11 10 9 8 INTENSITY (AZIMUTHAL AVERAGE) 10 0 5 17 19 21 23 25 27 29 31 33 35 37 REDUCTION IN BACKGROUND FLUX FROM F160W PSF w.r.t. central pixel: Fcentral(H) = 11% Fstar -1 10 Unocculted PSF Coronagraph Coronagraph & PSF Subtraction 10-2 1 pixel 10-3 10-4 10-5 7 6 15 10-6 0 Coronagraphic Hole Radius = 0.3" 0.075 0.15 0.225 0.3 0.375 0.45 0.525 0.6 0.675 0.75 0.825 0.9 0.975 1.05 ARCSECONDS 4 3 2 0.3 0.45 0.6 0.75 0.9 1.05 1.2 1.35 1.5 1.65 1.8 1.95 2.1 2.25 2.4 2.55 2.7 2.85 Radius (Arcsec) from Hole Center Figure 1. H -band coronagraphic stray-light rejection compared to direct imaging. Inset: Per-pixel background relative to central pixel flux density. of ∼ 30–50 at < 1 , and > 2 orders of magnitude beyond. Together, the background light reduction at 1 from an occulted star yields per-pixel background intensities ∼ 10−7 of the star’s brightness (Figure 1). These performance levels enable the direct imaging of young (< few ×107 years) extra-solar Jovian-mass planets (which decline in luminosity with age) and circumstellar debris disks (with scattering fractions > 10−4 at 1 or 10−5 at 2). These levels of performance were repeatably demonstrated in HST Cycle 7/7N and reverified by the recently completed SMOV-3B recommissioning program. Presently, the final on-orbit calibration data required to fully re-enable NICMOS coronagraphy with performance levels achieved in the instrument’s earlier incarnation have not yet been acquired. However, it is clear from the recommissioning tests which have been completed that the coronagraphic system is well within the tunable envelope which will fully enable NICMOS coronagraphy for HST Cycle 12 at the same performance levels as demonstrated above. 2. The Coronagraphic Field-Of-View (FOV) The NICMOS coronagraph is in camera 2, providing 256 × 256 pixel imaging into an ∼ 19.5 × 19.3 FOV with 0.9% X:Y linear geometrical distortion (so images must be rectified before rotationally combined). The coronagraph is optimized for peak performance for wavelengths at and shorter than H -band (1.6 µm), where the diffracted energy from an unresolved point source in the first Airy ring of its diffraction pattern is fully contained in the coronagraphic “hole” at the instrument’s first image plane. The detector’s FOV is asymmetric with respect to the occulted target. The coronagraphic hole is projected onto the detector image plane [+73, −45] pixels (or [+5. 6, −3.4]) from the [-X, +Y] corner of the FOV. For two-roll single-orbit imaging (normally with a 30◦ maximum differential roll due to spacecraft constraints) the total area surveyed around a target is 475 arcsec2 with an overlap area of 280 arcsec2 . Coronagraphy with NICMOS Direct (TA) Images ∆ Orientation = 30° Coronagraphic Images ∆ Orientation = 30° 251 Positive/Negative Separation Difference Image Rotate About Hole Center and Co-add Resampled Figure 2. HD 102982 (G3V, H =6.9, Lowrance et al. 1998). Two-orientation TA, coronagraphic and PSF-subtracted images, and difference image recombination. Circles indicate size and, except for TAs, location of coronagraphic hole. 3. Coronagraphic PSF Subtraction In Figure 2 we illustrate the process of NICMOS coronagraphic PSF subtraction for HD 102982, a star with a companion separated by 0. 9, and a companion:primary H -band brightness ratio of 0.007. Here, following target acquisition (TA) exposures we obtained coronagraphically occulted images of HD 102982 at two spacecraft orientation angles differing by 30◦ (11 min. total integration time at each orientation). The companion is easily visible in both coronagraphic images, with the fixed speckle pattern in the PSF “wings” of the primary greatly reduced in intensity with respect to direct imaging. In the difference image, the background light from the primary all but disappears. To take advantage of “rotational dithering” which results from image reorientation, we separate the positive and inverted negative components of the difference image and recombine them, after rotational re-registration, resampled onto a sub-pixel grid.1 The reconstructed image of HD 102982B can be centroided to a precision of ∼ 3 mas, and its brightness measured with an internal precision of ∼ 12 %. The total integration time of 11 min. per image orientation was set by the spacecraft and instrument overheads required to execute a two-roll observation in a single visibility period (typically ∼ 52–54 min.); notably 12 min. for two guide star acquisitions, 11 min. for the spacecraft rotation and 3 min. for two TAs. For most targets of scientific interest, NICMOS coronagraphic observations are not photon or read noise limited, but rather are limited by imperfections in PSF subtraction. In the absence of background light (i.e., sufficiently far from the occulted target), the detection floor for a total integration time of 22 min. was ∼ H = 22.5 in Cycle 7 (22.9 in Cycle 11; §7.1), though clearly the detection floor is a function of the radial distance from the occulted star. We illustrate this in Figure 3 for a coronagraphic PSF-subtracted (difference) image of LHS 3003 (H = 9.3) taken the same manner as HD 102982 but displayed to the noise floor limit. 1 Software for post-processing of calibrated coronagraphic images (IDP3 & DSPK; Schneider & Stobie 2002) is electronically available at: http://nicmos.as.arizona.edu/software/idl-tools/toollist.cgi 252 Schneider H = 21.9 ρ = 9".36 ∆H = 12.6 TA Persistence Ghost Images H = 22.3 ρ = 13".34 ∆H = 12.9 (faint galaxies) Figure 3. LHS 3003 (H = 9.3, M7V). Single visibility period, two-orientation coronagraphic PSF-subtracted faint-object limits at “large” angular separations. 4. Variability of the “invariant” PSF While the structure of the PSF is highly repeatable, it is not perfectly so. These imperfections arise predominantly from four effects (Schneider et al. 2001). First, changes in the structure of the HST PSF arise from variations in the thermal input to the HST Optical Telescope Assembly’s (OTA) secondary mirror. As the telescope cycles through orbit day/night, or as it undergoes a major change in attitude or orientation with respect to the Sun, or sub-solar point of the Earth through its orbital phase, the secondary mirror moves by several microns along the optical axis. Though this “breathing” phenomenon (Bely 1993) results in only a small mechanical displacement, it affects the scale and structure of the input PSF illuminating the edge of the coronagraphic hole, which itself acts as a scattering surface. Second, the position of the Lyot stop (pupil plane cold mask) which contributes its own near-field diffraction signature to the final image plane, “wiggles” (Krist et al. 1997) by very small amounts, usually on multi-orbit timescales. Recent data suggest that the amplitude of these motions may be reduced from HST Cycle 7/7N (consistent with having been driven by differential stresses in the NICMOS dewar from mass redistribution of the sublimating SN2 ). Third, the projected location of the coronagraphic hole onto the image plane of the detector changes with time due to changes in metrology between the NICMOS warm optics and the detector cold bench. The location of the hole is determined by the FSW at the time of each TA, and targets to be occulted are placed with precisions as noted in §1 with respect to the hole. However, changes in the hole and target positions, by even small sub-pixel amounts, result in differential errors in flat-field calibrations and intra-pixel responsivity. Finally, differential targeting errors on the order of a few milliarcseconds can themselves lead to changes in the coronagraphic PSF structure. Scale changes in the HST +NICMOS PSF ultimately affect the coronagraphic sensitivity and detectability dominated by uncompensated background light. Observations of the target and reference PSF should be closely spaced in time, less than the one to several orbit thermal responsivity time constant of the OTA. For two-roll PSF subtractions, where the target serves as its own reference PSF (e.g., for companion detection), this can be accomplished in a single visibility period as previously described. Coronagraphy with NICMOS 253 A B C D E F Figure 4. TWA6 (H = 6.9, K7V, Schneider & Silverstone 2002). Top: Cycle 7 (2.19 µJy counts−1 s−1 ), Bottom: Early Cycle 11 (1.59 µJy counts−1 s−1 ). 5. Pushing the Limits—Companion Detection We illustrate companion detectability limits in the presence of residual circumstellar starlight first by representative example, and then quantitatively from a statistically significant sample of stars observed in Cycle 7/7N. Figure 4 shows NICMOS coronagraphic images of TWA6 at two image orientations differing by 30◦ (panels A and B), and acquired in the same manner as the two stars previously discussed. A faint point-like feature is noted even before PSF subtraction in both images. Upon subtraction, a stellar-like (unresolved) object 200,000 times fainter than TWA6 (∆H = 13.2) appears at an angular distance of 2.5 from the occulted star (panel C). The two independent point-like images, each of S/N ∼ 20, exhibit first Airy-ring structures, core profiles identical to point sources, and are rotated about the occulted target by the field re-orientation angle. This observation is presented as a representative demonstration of capability. Putative companionship must be tested via a differential proper motion measure from two epochs (Figure 4 and §7.1). We assert the typical nature of the TWA6 observation after assessing the instrumental sensitivity to, and detection probabilities for, identifying nearby companions. Twoorientation PSF-subtracted coronagraphic observations of 50 stars of spectral types G-M, obtained by the NICMOS IDT in HST Cycle 7/7N, were subjected to statistical analyses of the radially dependent background noise and star implantation experiments (Schneider & Silverstone, 2002). The systematic noise from imperfect PSF subtractions is azimuthally non-isotropic, as are the sensitivities and detection limits. We find a 50% probability of companion detection of ∆H (50%) = 9.7 ± 0.3 + 2.1 × ρ(separation), assuming azimuthally random target placement but with a 30◦ rotation between two field orientations. The 1 σ dispersion of 0.3 magnitudes over the whole sample arises from breathing excursions, target centering errors, and color terms. This may also be cast in terms of the achievable S/N ratio, which we arbitrary quantify at S/N = 25 (closely comparable to the TWA6 observation with both rolls combined) as: ∆H (S/N = 25) = 8.1 ± 0.3 + 2.1 × ρ. These levels of performance are highly repeatable for two-orientation PSF subtractions with observations completed in a single visibility period. Specific experiments performed in the HST Cycle 7 SMOV 7052 program (Schneider & Lowrance 1997) found degradation in these performance levels of 254 Schneider Figure 5. 5–10 Myr debris disks. A: TW Hya (Weinberger et al. 2002), B: HD 141569A (Weinberger et al. 1999), C: HR 4796A (Schneider et al. 1999). ∼ 1.5 stellar magnitudes in ∆H for observations taken in sequential orbits rather than in the same orbit, and hence such a multi-orbit observational strategy is contra-indicated. 6. Disk Imaging Observing light scattered by circumstellar debris has been observationally challenging because of the very high star-to-disk contrast ratios (i.e., low surface brightness disks very close to bright stars). Proto and young circumstellar disks (< 1 Myr) with embedded or obscured central stars may be (and have been) imaged directly. Older, centrally-cleared, disks present a contrast challenge requiring PSF-subtracted coronagraphy (Schneider 2002). Until NICMOS, the only debris system which had been seen in scattered light was the bright, large, and nearly edge-on disk around β Pictoris. The advent of NICMOS coronagraphy gave rise to the first subsequent scattered light observations of debris disks with a surprising diversity of morphologies and characteristics (Schneider et al. 2002). Dusty disks with radial and hemispheric brightness anisotropies and complex morphologies, possibly indicative of interactions with unseen planetary mass companions, were detected and spatially resolved (e.g., Figure 5). Transitional disks (around Herbig AeBe stars) of intermediate age (1–5 Myrs) have been observed coronagraphically with HST /STIS (Grady, 2002), which has been also used for follow-on observations of disks imaged earlier by NICMOS. In imaging sub-stellar companions, which are spatially unresolved point sources, one can use the host star as its own reference PSF. Circumstellar disks are diffuse spatially extended structures, and the two-roll subtraction technique used for companion detection cannot be exploited. Rather, a reference PSF from a different star must be obtained and used as a surrogate to subtract out the residual instrumentally scattered and diffracted starlight. When a reference PSF is required, a “nearby” star should be chosen to permit a retargeting slew within the same visibility period whenever possible, and such that the Sun angle of the spacecraft does not change significantly. This is sometimes difficult since a PSF star should be at least as bright as the target and of similar spectral type (within one spectral class) to obviate the dominance of color effects (Weinberger 1999). In the worst case a (disk) target and its reference PSF should be observed in subsequent orbits, and at the same orbit phases. To minimize image artifacts resulting from imperfect PSF subtractions, and to sample regions of the disks which will invariably be corrupted by the HST diffraction spikes, observations should be obtained at two or more spacecraft roll angles. Image contrast is significantly enhanced for young exoplanet and brown dwarf companion imaging in H -band as such objects are self-luminous with higher emissivities at longer wavelength. Disks, however, are seen by the scattering of the central star’s light by circumstellar grains, with color terms, typically, not too different from the stars which Coronagraphy with NICMOS 255 they orbit. For disk surveys it is preferable to image at shorter wavelength, e.g., at 1.1 µm (F110W filter), which takes advantage of both the intrinsically higher spatial resolution and the reduced coronagraphically induced instrumental scatter (Schneider et al. 2001). Multiband imaging with NICMOS can help elucidate the nature of the circumstellar grains, and indeed the camera 2 filter set contains spectral elements which are diagnostic of ices which can mantle such grains at circumstellar distances beyond their sublimation temperatures. 7. Performance Characterization for Cycle 11 With the resurrection of NICMOS in the era of the NICMOS Cooling System we have characterized the performance capabilities of the coronagraph under the SMOV-3B test program. In particular we have evaluated data acquired from the NICMOS TA (8983), Focus Verification (8979) and Initial (Part 1) Performance Characterization (8984) tests. The TA and Focus tests were executed, per the SMOV plan, prior to planned final updates to the NICMOS plate scale and aperture rotation used by the FSW. The initial performance characterization was executed prior to the re-determination and update to the FSW targeting logic’s “low scatter point” in the coronagraphic system. Because the test and update program is not yet completed we cannot present final Cycle 11 (and beyond) performance metrics, though the system “as is” is performing close to the previous mark. Based upon the data acquired at this state of the instrument’s recommissioning, and comparing them to the parameter spaces explored during the SMOV-2 (Cycle 7) program, it is apparent that the NICMOS coronagraphic performance capabilities will be fully restored at the completion of the re-enabling activities (to be carried out under the Cycle 11 calibration plan). 7.1. TWA6 Revisited As a demonstration of restored capability, we re-observed TWA6 “out-of-the-box” as part of the NICMOS TA testing. In Figure 4 we compare Cycle 7 (top) and Cycle 11 (bottom) coronagraphic images to illustrate the high degree of repeatability of the NICMOS coronagraphic PSF after a more than three year suspension of activity. The point object seen in the Cycle 7 observation is seen at nearly the same image contrast as in the Cycle 11 observation. The Cycle 7 and 11 images were acquired at slightly different absolute orientation angles, so the point object is at slightly different azimuthal angles at the two epochs (and is co-incident with the occulted star’s (-X,-Y) diffraction spike in panel D). To first order, the system performance is roughly comparable. Residual optical artifacts (i.e., radial streaks extending to ∼ 2 ) are more prominent in the Cycle 11 PSF subtracted image. This is a consequence of differential targeting errors between the two image orientations and is a direct result of executing this test before later-planned on-board calibration updates. This is fully within the envelope of correction of the planned updates and will be mitigated following the completion of Part 2 of the coronagraphic performance characterization test. In Cycle 11 (NCS at 77K), the pixel-to-pixel (read) noise is lower in amplitude, relative to the photon flux from an occulted target (and field object) as compared to Cycle 7 (SN2 at 62K). This improvement arises from an increase in H -band quantum efficiency (QE) of ∼ 37% (Figure 4). For comparative purposes the Cycle 7 and 11 images have been stretched to permit direct comparison in light of the net gain in imaging efficiency. In both the Cycle 7 and Cycle 11 observations we were able to measure the positions of the unresolved object to a precision of ∼ 11 mas with respect to TWA6. Over the 4 yr temporal baseline, the angular distance decreased by 160 mas in the direction expected from the proper motion of TWA6 itself, implicating a background object rather than a Jupitermass companion to this 10 Myr star (unfortunately). However, these two-epoch observations demonstrate the ease with which such observations can be reliably and repeatably made. 256 Schneider Figure 6. A: OTFR/CALNICA pipeline reduction with synthetic dark and library flats, B: CALNICA with custom-matched dark and linear-regime flat-field. 8. Calibration The performance levels discussed assume properly calibrated and cosmetically clean data. Whether searching for companions or circumstellar disks, local and global deviations from true photometric backgrounds must be corrected (zeroed) before PSF subtraction. Failure to appropriately do so will result in: loss of sensitivity (against the residual background); degraded detectabilty in PSF-subtracted images; photometric zero-point errors; and spatially non-uniform detection limits. With coronagraphic data, in particular, one must be critical of pipeline processing. Standard reference flats from STScI’s calibration database system contain a static imprint of the coronagraphic hole though the position of the hole is known to be unstable at the level of roughly a pixel. Before flat-fielding high-S/N reference flats should be augmented with contemporaneous (S/N ∼ 130 combined) lamp flats, provided as part of the TA process, otherwise very significant near-hole flat-field gradients may arise. We also suggest that reference flats be constructed so as not to rely on assumed high-fidelity knowledge of the per-pixel linearity transfer when approaching saturation. I.e., discard non-destructive reads in raw flat-field frames with pixel values > 50–70% full-well when making reference flats. The efficacy of using “synthetic” (decomposed model) darks (currently generated by OTFR) vs. reference dark frames made directly from observed calibration frames is somewhat conjectural and may be data driven. Preliminary indications from Cycle 11 data are that synthetic darks in many cases may suffice as the NICMOS detectors (which have temperature dependent dark currents) are now thermally more stable than in Cycle 7. Manual (and sometime laborious) construction of dark reference files from Cycle 7 data which are selected to match (1) the temperature of the detector at the time of the observation (as reported in the SPT file), and (2) the relative time from the prior SAA exit, often reduce photometric errors relative to the Cycle 7 model darks. Fortunately, two-roll per visibility observations are inherently SAA non-interruptible, so usually they are less subject to degradation from cosmic-ray induced excess dark current decays from prior SAA crossings. As an example, in Figure 6, we show the result of re-processing a raw NICMOS coronagraphic frame using OTFR/CALNICA compared to an IDL-based analog to CALNICA using reference darks made from selected, observed, data, flats unreliant on linearity corrections, and Gaussian-weighted bad pixel replacement. Post-processing tools exist in the IRAF/STSDAS environment to mitigate calibration errors (such as in the example shown), Coronagraphy with NICMOS A B C D 257 E Figure 7. A: Raw TA image, B: Shading model, C: Shading removed (and bad pixels replaced), D: Bars model, E: Bars removed. but they often do not work well in regions of high flux densities and large signal gradients which fill the field (e.g., for bright coronagraphic targets). Experimentation is required, and improvements over pipelined results can be had with this additional work. 9. Mode-2 Target Acquisition Data Though often under-appreciated, data which are taken (and delivered) from TAs are of fundamental importance in the calibration and interpretation of coronagraphic imaging data which follow. TA images serve as astrometric anchors, and are required to accurately determine the placement of a target into the coronagraphic hole. Such determinations cannot be made from coronagraphic images themselves. In HST Cycle 7 targeting information from the spacecraft slew, which put the target into the coronagraphic hole, was reported in the ancillary SPT file (first in raw engineering units, later in detector pixels). In Cycle 11 the OTFR pipeline has been updated to place this information in the FITS headers of the RAW and CAL files themselves, but co-ordinates are still given in the FSW’s detector pixel system, not in the science instrument aperture system (SIAS). For camera 2: SIAS[X,Y] = 256-FSW[Y,X]. The information provided through these files, however, uses the fixed aperture “constants” (scale and rotation) employed by the FSW, though these may change over time. For highly accurate astrometry, the TA information reported in the FITS headers may require updating to reflect the actual “plate constants” at the time of the observation. Such information historically has been provided by STScI through a web-based interface.2 With the improved detector QE in Cycle 11, stellar PSF cores will not saturate at the shortest (0.2s) TA exposure times for the recommended TA filters as follows: F160W: H > 7.2; F165M: H > 6.5; F171M: H > 5.5; F187N: H > 4.0. For targets with H < 4, Mode-1 TAs are needed. Autonomous acquisition of targets of H > 18 are prone to failure as such targets are difficult to discriminate from hot pixel clusters by the on-board software. Properly exposed (∼ 70% full-well) TA images can be used to establish an in-band magnitude for the filter used. Additionally, “hole location” lamp-flat background images are taken (as two 7s ACCUM images) and may be used to ascertain the H -band magnitude of an unsaturated target, even if the TA was done in a different filter. Color transformation from a TA or lamp-background filter to a different science filter may be estimated by using STSDAS SYNPHOT task. These serendipitous photometric determinations may not be optimal. Whenever possible, unocculted images of subsequently occulted targets should be obtained as part of the planned imaging sequence to establish the PSF core photometry. This is particularly necessary for disk imaging where the in-band flux ratios of the target and reference PSF must be known to obtain a proper scaled PSF subtraction. TA ACCUM mode images, F160W lamp flats and background images (which will contain an image of the star to be acquired) are not calibrated by the OPUS pipeline. 2 http://www.stsci.edu/hst/nicmos/performance/platescale 258 Schneider Dark current is usually not an issue for short TA images and lamp background frames (but may be so for hot pixels), but the detector reset signature (aka “shading”) will bias target centrations with horizontal field gradients, and introduce photometric errors amplified through the flat-field. TA images are also subject to a readout anomaly known as “the bars”, which though correctable, are not handled by the OPUS pipeline. TA images may be calibrated by: (1) pixel-paired minimization to eliminate cosmic rays, (2) building a source-clipped (or masked) column-median to characterize and build a 2D shading image to be subtracted, (3) building a source-clipped row-median image to eliminate the bars upon subtraction, (4) flat-fielding with a library (or contemporaneous TA) flat. Alternatively to (1), multiaccum darks could be taken, but because of subtle differences in detector clocking compared to TA/ACCUM mode the integration time should be increased by +0.025s. 10. Summary The SMOV-3B program has demonstrated a full return of NICMOS coronagraph science capabilities with stray-light rejection closely replicating Cycle 7 performance. Coronagraphic detection limits, with and without PSF subtraction, will be fully restored after planned updates to the FSW’s TA calibration constants have been made. System sensitivities have increased (∼ 37% in H -band) due to the higher QE of the detector now operating at 77K. Final refinements to performance metrics and calibration data await the completion of the Cycle 11 calibration plan. NICMOS is ready to resume coronagraphic science in Cycle 12. Acknowledgments. This work is supported by NASA grants NAG5-3042 and 10843. We thank M. Silverstone and J. Beattie for a careful proof reading of this manuscript. References Bely, P. 1993, STScI Report (SESD-93-16)(Baltimore: STScI) Grady, C. 2002, this volume, 137 Krist, J. E., et al. 1998, PASP, 110, 1046 Lowrance, P. J., et al. 1998, ESO Conf. Proc., 55, 96 Schneider, G. & Lowrance, P. 1997, SMOV/7052 Test Report, http://nicmosis.as.arizona.edu/gschneid/7052 PS/ Schneider, G., Thompson, R. I., Smith, B. A., & Terrile, R. J. 1998, Proc. of SPIE, 3356, 222 Schneider, G., et al. 2001, AJ, 121, 525. Schneider, G. & Stobie, E. 2002, ASP Conf. Ser. 281, in press Schneider, G. 2002, in Hubble’s Science Legacy: Future Optical-UV Astronomy From Space, ed. C. Blades, ASP Conf. Series, in press Schneider, G. & Silverstone, M., 2002, Proc. of SPIE, 4860, in press Schneider, G., Weinberger, A. J., Silverstone, & M. D. Cotera, A. S. 2002, in Debris Disks and the Formation of Planets, ed. D. Bachman, ASP Conf. Series, in press Weinberger, A. J., et al. 1999, ApJ, 522, L53 Weinberger, A. J., et al. 2002, AJ, 566, 409 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Polarimetry with NICMOS Dean C. Hines Steward Observatory, University of Arizona, Tucson, AZ 85721 Abstract. The Near Infrared Camera and Multi-Object Spectrometer (NICMOS) aboard the Hubble Space Telescope (HST ) incorporates optics in Cameras 1 and 2 (NIC1 and NIC2) that enable high spatial resolution imaging polarimetry at ∼1 & 2 µm, respectively. Thermal vacuum tests prior to installation revealed that the three polarizing elements in each camera have unique (non-unity) polarizing efficiencies, and their primary axes are not oriented at the nominal 120◦ intervals. This non-ideal system requires a reduction algorithm that differs from the standard approach used for ideal polarizers. The coefficients of the algorithm are derived from the ground-based thermal vacuum results and from on-orbit observations of objects of known polarization. The Cycle 7 and 7N calibration resulted in excellent imaging polarimetry performance, capable of producing uncertainties in measured polarization as small as σp ≈ 1%. The Cycle 11 calibration plan includes a recharacterization of the polarimetry capabilities. Herein I review the reduction algorithm, describe the Cycle 11 calibration plan, and present preliminary results. The latter indicate that once fully calibrated, NICMOS will provide polarimetry performance comparable to (or better than) Cycle 7 and 7N. Combined with the polarimetry mode of the Advanced Camera for Surveys (ACS), HST provides high resolution imaging polarimetry from ∼0.2–2.1 µm. The further possibility of combining imaging polarimetry with coronography in both instruments has the potential to greatly enhance high contrast imaging. 1. Preflight Thermal Vacuum Tests The NICMOS polarimetry system was characterized on the ground during thermal vacuum tests using a light source that fully illuminated the field of view with completely polarized light and with position angles variable in 5◦ increments. The primary results of these thermal vacuum tests include: • Each polarizer in each camera has a unique polarizing efficiency,1 with POL120S having the lowest at 2POL120S = 48%. • Angular offsets between the polarizers within each filter wheel differ from their nominal values of 120◦. • Instrumental polarization caused by reflections off the mirrors in the optical train is small (≤ 1%). • The grisms act as partial linear polarizers, with G206 producing the largest variation in intensity (∼5%) for completely polarized light. Because the grisms reside in the 1 Polarizer efficiency is defined as = (Spar − Sperp )/(Spar + Sperp ), where Spar and Sperp are the respective measured signals for a polarizer oriented parallel and perpendicular to the position angle of a fully polarized beam. 259 260 Hines NIC3 filter wheel, they cannot be used with either the NIC1 or NIC2 polarizers and are unsuitable for spectropolarimetry. 2. The Algorithm for Reducing NICMOS Polarimetry Observations The thermal vacuum results showed that the standard reduction algorithm would not work for NICMOS data. Instead, a more general approach was required (Hines, Schmidt & Lytle 1997; Hines, Schmidt & Schneider 2000). At any pixel in an image, the observed signal from a polarized source of total intensity I and linear Stokes parameters Q and U measured through the kth polarizer oriented at position angle ϕk is (1) Sk = Ak I + 2k (Bk Q + Ck U ) . Here, tk (1 + lk ), Bk = Ak cos 2ϕk , Ck = Ak sin 2ϕk , (2) 2 2k is the polarizing efficiency, tk is the fraction of light transmitted through the polarizer for a 100% polarized input aligned with the polarizer axis, and lk is the “leak”—the fraction of light transmitted through the polarizer (exclusive of that involved in tk ) when the incident beam is polarized perpendicular to the axis of the polarizer. These quantities are related under the above definitions, 2k = (1 − lk )/(1 + lk ). This treatment can be shown to be equivalent to other approaches, once appropriate transformations are made (Mazzuca, Sparks, & Axon 1998; see also Sparks & Axon 1999). The values of tk were determined initially by the filter manufacturer from witness samples, and were not accurately remeasured during thermal vacuum tests. However, on-orbit observations of the unpolarized and polarized standard stars enables refinement of these numbers. Adopted characteristics of the individual polarizers and algorithm coefficients derived during and applicable to Cycle 7 and 7N are listed in Table 1 of Hines, Schmidt & Schneider (2000), and are also available in the NICMOS instrument manual and the HST Data Handbook . After solving the system of equations (eq. 1) for the Stokes parameters at each pixel (I, Q, U ), the percentage polarization (p) and position angle (θ) are calculated in the standard way: 1 Q2 + U 2 −1 U , θ = tan . (3) p = 100% × I 2 Q Ak = Note that a 360◦ arctangent function is assumed. This algorithm has been tested by the NICMOS Instrument Definition Team (IDT) and by the Space Telescope Science Institute (STScI) on several data sets. An implementation has been developed by the IDT, and integrated into a software package written in IDL. The package is available through the STScI web site2 and is described by Mazzuca & Hines (1999). 3. The Cycle 11 Polarimetry Characterization Program The higher, yet more stable, operating temperature provided by the NCS and the three year dormancy of NICMOS may contribute to changes in the properties of the polarimetry optics, especially the tk coefficients. Therefore, a program to re-characterize the polarimetry optics in Cycle 11 has been developed. The core program has been outsourced by STScI 2 http://www.stsci.edu/instruments/nicmos/ISREPORTS/isr 99 004.pdf Polarimetry with NICMOS 261 to the author (NIC/CAL 9644: Hines), while flat fields and observations of photometric calibrators are maintained by the NICMOS team at STScI. The basic design of the program follows the strategy undertaken in Cycle 7 and 7N, relying on observations of polarized and unpolarized standard stars as well as the protoplanetary nebula CRL 2688 (Egg Nebula). The stars are observed at two epochs separated in time such that the spacecraft roll differs by ∼ 135◦ . This removes the degeneracy in position angle caused by the pseudo-vector nature of polarization. The Egg Nebula is only observed at a single epoch as a direct comparison with observations from Cycle 7 and 7N (ERO 7115: Hines; Sahai et al. 1998; Hines, Schmidt & Schneider 2000), and to evaluate any gross discrepancies across the field of view. Observations were obtained between UT 2002 September 2 and UT 2002 October 6. The second epoch observations of the polarized and unpolarized standards stars are scheduled between UT 2003 April and UT 2003 July. All observations were obtained using MULTIACCUM sequences and four position spiral dither pattern in each polarizer. The dither pattern used N+1/2 (N ≥ 30) pixel offsets to improve sampling, avoid latent images and mitigate residual instrument artifacts. This is also the recommended observing strategy for all NICMOS polarimetry programs. 4. Preliminary Results of Cycle 11 Polarimetry Characterization Program The observations were processed through the CALNICA pipeline at STScI using the currently available reference files. The linearity corrections are not yet fully characterized and potentially pose the largest uncertainty in the present results. The flat-fields and the polarimetry calibration images are both potentially affected (this should be corrected soon and will be applied for the final analysis of the complete characterization data set). Observations of the unpolarized standard star processed with the Cycle 7 and 7N algorithm coefficients yield pNIC1 = 0.7% ± 0.2%, θNIC1 = 74◦ and pNIC2 = 0.7% ± 0.3%, θNIC2 = 73◦ . This suggests that the system may have changed, but the uncertainties are currently too large. The observations of the polarized standard star is also larger (∆p ≈ 2%) in NIC1 compared with the measurements of Cycle 7 and 7N, which themselves were in excellent agreement with ground-based measurements (Hines, Schmidt & Schneider 2000). The second epoch observations will reduce the uncertainties in the null measurements, and enable the coefficients to be refined. Observations of the Egg Nebula were also analyzed with the Cycle 7 and 7N coefficients. As for the polarized standard star, the results for the Egg Nebula suggest that the polarimetry system has changed slightly,3 again by about 2% in p%. The Cycle 11 preliminary results are shown in Figure 1. In addition to the traditional polarization vector plot, Figure 1 also shows maps of perpendiculars to the polarization position angle as a function of position in the Egg Nebula. Perpendicular maps show the direction of the illuminating source relative to the last scattering surface as projected on the sky. The covergent points in the Cycle 11 data are consistent with the Cycle 7 and 7N data (Weintraub et al. 2000), and indicate no significant field-dependent anamolies in the polarimetry system. 5. Summary The Cycle 11 re-characterization plan is partially complete. The preliminary results indicate that the coefficients of the algorithm for deriving Stokes parameters from images 3 The polarization structure of the Egg is not expected to change over the 5 year period between observations even though the object is known to show photometric variations. 262 Hines (b) (a) 100% Polarization NIC1 (c) (d) 100% Polarization NIC2 Figure 1. Cycle 11 polarimetry observations of the Egg Nebula (CRL 2688). The left-side panels show the polarization maps, while the right-side panels show the perpendiculars to the polarization position angles (see text). taken through the NICMOS polarizers will require slight adjustment after all of the standard star observations have been completed in the Spring of 2003. Observations of the Egg Nebula suggest that, once fully calibrated, NICMOS will provide polarimetry performance comparable to (or better than) Cycle 7 and 7N. Combined with the polarimetry mode of the Advanced Camera for Surveys (ACS), HST provides high resolution imaging polarimetry from ∼0.2–2.1 µm. The further possibility of combining imaging polarimetry with coronography in both instruments has the potential to greatly enhance high contrast imaging. References Hines, D. C., Schmidt, G. D., & Lytle, D. 1997, in The 1997 HST Calibration Workshop, eds. S. Casertano et al. (Baltimore: STScI) Hines, D. C., Schmidt, G. D., & Schneider, G. 2000, PASP, 112, 983 Mazzuca, L., Sparks, B., & Axon, D. 1998, Instrument Science Report NICMOS-98-017 (Baltimore: STScI) Mazzuca, L. & Hines, D. C. 1999, Instrument Science Report NICMOS-99-004 (Baltimore: STScI) Sahai, R., Hines, D. C., Kastner, J. H., Weintraub, D. A., Trauger, J. T., Rieke, M. J., Thompson, R. I., & Schneider, G. 1998, ApJ, 492, L163 Sparks, W. B. & Axon, D. J. 1999, PASP, 111, 1298 Weintraub, D. A., Kastner, J. H., Hines, D. C., & Sahai, R. 2000, ApJ, 531, 401 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. NICMOS Cycle 10 and Cycle 11 Calibration Plans S. Arribas,1 S. Malhotra, D. Calzetti, E. Bergeron, T. Boeker,1 M. Dickinson, L. Mazzuca, B. Mobasher,1 K. Noll, E. Roye, A. Schultz, M. Sosey, T. Wiklind,1 C. Xu Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The NICMOS calibration activities performed after the completion of the Servicing Mission and On-orbit Verification program SMOV-3b are described. In particular, we present the generic objectives pursued with the Cycle 10 (interim) and Cycle 11 calibration plans, the specific programs involved, and the accuracy goals for Cycle 12. 1. Introduction After the successful completion of the 2002 HST Servicing Mission, NICMOS went through an on-orbit verification phase as part of the SMOV-3b program. The NICMOS SMOV-3b program was intended to demonstrate that the instrument was functioning as expected after the installation of the NICMOS Cooling System (NCS). Although this program included many calibration-related activities, it did not provide a full calibration of the science modes. Full calibration of the instrument is being performed thanks to the programs included in the calibration plans for each cycle. In the NCS era the first such plans were the Cycle 10 (interim) and the Cycle 11 (routine) calibration plans. Here we summarize the generic objectives pursued with these plans, the specific proposals involved, and the accuracy goals for Cycle 12. 2. Objectives of the Cycle 10 (Interim) Calibration Plan The Cycle 10 interim calibration plan (ICP) lasted approximately five months and pursued the following objectives: i) Calibration of the imaging mode for the three cameras and all the spectral elements. The imaging mode is by far the most commonly used NICMOS science mode. During Cycles 7 and 7N more than 80% of the exposures taken with NICMOS were in this mode. A full calibration of this mode requires a number of individual activities (e.g., obtaining high S/N darks and flats, optimizing the image quality, evaluating photometric stability, etc). The ICP provided high S/N flats for all narrow band filters (SMOV program 8985 provided wide, medium, and polarizer filter flats), improved the accuracy of the darks obtained during SMOV, and allowed a detailed study of the image quality and photometric stability of the instrument. ii) Calibration of the spectroscopic mode. This science mode was the second most used during Cycles 7 and 7N with about 5.6% of the total number of exposures. The ICP provided the flats for the narrow band filters for NIC3 which, together with those 1 Affiliated with the Space Telescope Division, Research and Science Support Department of the European Space Agency (ESA) 263 264 Arribas obtained with program 8991 (SMOV), allowed the calibration of this mode (see Thompson and Freudling 2003). iii) Monitoring the main instrument properties. ICP included four monitor programs (darks, flats, focus, photometry). These programs are considered key for understanding the behavior and stability of the instrument after the installation of NCS. The dark program (ID 9321), which provided the linear component of the dark current, the shading, and the amplified glow, was executed weekly. The other three monitor programs were executed monthly. iv) Special calibrations. The ICP also included two special calibrations: 1) the gain test was aimed at demonstrating the benefits of implementing a new gain value, and 2) high quality ACCUM darks were needed to calibrate the cosmic ray persistence effects in postSouth Atlantic Anomaly (SAA) observations. v) ICP also provided the data necessary to implement the Dark Generator and the Flat Generator tools, which allow users to create synthetic darks and flats, respectively. Table 1. Cycle 10 (interim) and Cycle 11 (regular) Calibration Programs. Some SMOV calibration-related programs are also included. Details on individual programs can be obtained via the HST -STScI web site at http://www.stsci.edu/hst Activity title Multiaccum Darks ID (Cycle/Program) 9321 (C10), 9636 (C11) Flats Flats for NIC1 and NIC2 8995 (SMOV) 9327 (C10) Flats for NIC3 Photometry Test 9557 (C10) 8996 (SMOV) Aperture Location 8981 (SMOV) Plate Scale Grism Calibration Polarimetric Calibration Coronagraphic focus 8982 8991 9644 8979 Coronagraphic Performance Assessment Focus Stability Photometric Stability 8984 (SMOV) Flat Fields Stability Dark Generator Test SAA-CR Persistence Test 9326 (C10), 9640 (C11) 9641 (C11) 8987 (SMOV) Accum Darks 9322 (C10) Thermal Background 8989 (SMOV) Intra Pixel Sensitivity High S/N Capability Characterization Gain Test 9638 (C11) 9642 (C11) Pupil Transfer Function 9643 (C11) (SMOV) (SMOV) (C11) (SMOV) 9323 (C10), 9637 (C11) 9325 (C10), 9639 (C11) 9324 (C10) Comments Monitor programs. Linear component of the dark current, shading, ampified glow. Include all the information needed for the Dark Generator tool Flats for the broad and medium-band filters Narrow band filter flats. Broad and medium band filter flats were obtained during SMOV Narrow filters Photometric zero points for all the spectral elements Location of the NICMOS apertures in the V2V3 plane Plate scale, field rotation, and field distortion Recalibration of the spectroscopic mode Recalibration of the polarimetric mode Determination of optimum focus for coronagraphy Quantitative re-evaluation of the coronagraphic mode Monitor programs Monitor programs. Observations of P3003E with selected broad filters Monitor programs, using a few selected filters To characterize the accuracy of this tool Calibration for mitigating the effects of cosmic ray induced persistence after passage of the SAA Darks needed for the calibration of the Cosmic Ray Persistence Characterization of the thermal background at the NICMOS focal plane For cameras 2 and 3 Characterization of temporal photometric variations at very high S/N regime Engineering test to analize the advantages of a new gain value To correct large scale flat-field residuals (contingency program) NICMOS Calibration Plans 3. 265 Objectives of the Cycle 11 Calibration Plan The objectives pursued with this plan are: i) Monitor Programs: Similar to Cycle 10, an important objective during Cycle 11 has been the monitoring of the main properties of the instrument. The involved programs are a continuation of the corresponding Cycle 10 (and SMOV) programs. Preliminary analysis of the data indicated good thermal stability and, therefore, the frequency of some of these programs has been reduced with respect to the corresponding programs for Cycle 10. ii) Intrapixel sensitivity: Data obtained during Cycles 7 and 7N demonstrated that one of the major factors limiting the photometric accuracy was the non uniform intrapixel sensitivity. This is especially true for NIC3, for which the PSF is more severely undersampled. Although this limitation may be overcome by dithering, this approach may be quite demanding in terms of observing time. Calibrations of intrapixel sensitivity may result in acceptable photometric accuracy without the need for excessive dithering. iii) Multiaccum darks: In order to generate the dark reference files for all the multiaccum readout sequences an empirical model, the so called Dark Generator Tool , is used. One of the goals of the present plan is to test the accuracy of such a model. iv) Polarimetry mode: This calibration has been outsourced to Dr. Dean Hines (University of Arizona), and it is aimed at recalibrating the polarimetry mode in both Camera 1 and 2 (see Hines 2003). v) High S/N Capability Characterization (PI, Ron Gilliland): The goal here is to establish the temporal (differential) photometric accuracy in the very high S/N regime. In Table 1 we list the individual programs with their corresponding ID numbers. The reader may find further details via the HST- STScI web page at http://www.stsci.edu/hst/ and in Arribas et al. (2002 a,b) and Malhotra et al. (2002). Table 2. Summary of Cycle 12 Calibration Accuracy Goals Attribute Detector dark Flat Fields Photometry PSF and Focus Coronagraphic PSF GRISM wavelength calibration GRISM photometry Polarimetry Astrometry 4. Accuracy < 10 DN 1% broad-band 3% narrow-band < 6% zero point (filter dependent) 2% relative over the FoV maintained within 1 mm for NIC1 and NIC2, 4 mm for NIC3 0.013 arcsec pointing in the hole 0.05 microns 30% 1% 0.5% plate scale 0.1 arcsec to FGS frame Limiting Factors (Notes) Temperature fluctuations Color and temperature dependence S/N Absolute calibration, Photometric systems, Intrapixel effects Breathing and OTA desorption Centroid of target for zero point determination Intrapixel sensitivity Residual Flat-Field errors (After geometric distortion correction) Calibration Accuracies for Cycle 12 In Table 2 we summarize the calibration accuracy goals for Cycle 12. The calibration proposals executed during the SMOV phase, as well as the ones included in Cycles 10 and 11 calibration programs (see Table 1), were aimed at reproducing and possibly improving the level of accuracy achieved during Cycle 7 and 7N. Although at the time of writing this paper only a fraction of these programs have been completed, we do not foresee any problems in meeting these goals. The actual performance of NICMOS is closely related to 266 Arribas its temperature stability. The results obtained so far (after 7 months of NCS operations) indicate very good stability (rms fluctuations ∼ 0.07 K) and, therefore, the accuracies quoted in Table 2 should be reached. Acknowledgments. Thanks are due to the members of the IDT group (Dean Hines, Marcia Rieke, Glenn Schneider, and Rodger Thompson) who have contributed to the recalibration of NICMOS after the installation of NCS. The contribution by Wolfram Freudling is also very much appreciated. Thanks are also due to Ron Gilliland who has proposed and designed program 9642. References Arribas, S., et al. 2002 NICMOS Cycle 10 Interim Calibration Plan, NICMOS Instrument Science Report 02-02 (Baltimore: STScI) Arribas, S., et al. 2002 NICMOS Cycle 11 Calibration Plan, NICMOS Instrument Science Report 02-03 (Baltimore: STScI) Hines, D. 2003, this volume, 259 Malhotra, S., et al. 2002 NICMOS Instrument Handbook, Version 5.0, (Baltimore: STScI) Thompson, R. & Freudling, W. 2003, this volume, 241 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. NCS NICMOS Focus and Coma Analysis E. W. Roye Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, Maryland, 21218 A. B. Schultz Science Programs, Computer Sciences Corporation and the Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, Maryland, 21218 Abstract. After the installation of the NICMOS Cooling System (NCS), the NICMOS focus was measured and found to be comparable to that observed in Cycle 7. The NIC1 and NIC2 focii have both moved about 1 mm (in PAM space) in the negative direction since Cycle 7, and the NIC3 focus has moved fractions of a mm (in PAM space) in the positive direction since Cycle 7, bringing it closer to focus than it was during that time. New optimal focus values were uplinked to HST on May 8, 2002, and subsequent NICMOS focus monitoring data have revealed that the focus has remained relatively stable. In addition, coma measurements have been made for all three cameras. A tilt grid was executed for NIC1 on May 10, 2002 revealing a significant amount of coma. New settings for NIC1 optimal PAM tilt were uplinked to HST on May 16, 2002. The correction successfully alleviated the observed NIC1 coma. NIC2 and NIC3 tilt grids executed on June 9, 2002. Smaller amounts of coma were observed in these two cameras. New settings for NIC2 optimal PAM tilt were uplinked to HST on September 29, 2002, successfully alleviating all coma. No update was required for NIC3. 1. Introduction The NICMOS Pupil Alignment Mechanism (PAM) is used to adjust the focus of the NICMOS cameras. By moving the PAM back and forth along its axis, the focus can be measured and adjusted. The focus data consist of a series of images in and out of focus passing through best focus. The best focus can be subsequently determined from these data. The PAM is also used to take out misalignments between the HST exit pupil and the NICMOS entrance pupil. As the PAM is tilted, the relayed HST exit pupil image is translated relative to an internal NICMOS pupil at the Field Offset Mechanism (FOM). The FOM also carries the HST spherical aberration correction in its surface figure, so any misalignment between the aberrated HST pupil and the FOM produces a wavefront error. This error shows up as a pseudo-derivative of the spherical aberration, i.e., a field-independent coma that varies linearly with the misalignment of the pupil. The PAM is tilted to correct for such misalignment. The amount of tilt is measured in steps where one step is about 7.8. (PAM movement can only be adjusted by an integer number of steps.) Measurement of coma is hence accomplished via a set of data called a “tilt grid,” in which a series of images are taken at a variety of PAM tilt positions around the default position. The tilt position at which coma is minimized can be derived from this dataset. 267 268 2. Roye & Schultz Observations The southern open star cluster NGC 3603, also observed for the Cycle 7 focus monitor and tilt grid programs, was observed for all the focus sweeps (program IDs: 8977, 9323, and 9637) and tilt grids (program IDs: 8977, 9323, and 9637). The focus sweeps in NIC1 and NIC2 consisted of a series of 17 MULTIACCUM images obtained over a range of ±8 mm of PAM travel in 1 mm increments. For NIC3, the focus sweep was conducted at PAM settings of −0.5 mm to −9.5 mm of motion, and consisted of only ten MULTIACCUM images. The NIC1 tilt grid observations consisted of a 9 point grid surrounding the then-current default position, with one MULTIACCUM observation taken at each of the 9 grid points. The data spanned the range of [−4,0,4] in both the x and y directions. The NIC2 tilt grid consisted of a 13 point grid, with one MULTIACCUM observation taken at each position. The inner nine points comprised a 3 × 3 ± 4 step tilt grid, and the outer four points comprised a 2 × 2 ± 8 step tilt grid. The data were re-calibrated off line with calnica using model-generated, color-dependent flats and specially made NCS darks along with all the other standard reference files. 3. Focus Monitor Results The first NCS focus sweep was executed for all three cameras on May 3, 2002. Phase retrieval and encircled energy methods were used to measure the best focus position. The independent results agreed favorably with one another. Adjustments to the PAM positions were implemented on May 9, 2002 for NIC1 and NIC2 (PAM1 and PAM2). No focus adjustments were implemented for NIC3 (PAM3) or for the NIC2 coronagraphic focus (PAMC). Since the first focus sweep there have been five subsequent sweeps: June 5, July 22, August 26, October 15, and October 28. The focus is relatively stable and fairly consistent with Cycle 7 and 7N measurements. However both the NIC1 and NIC2 focii have moved slightly in the negative direction (bringing them closer to 0 mm in PAM space). The NIC3 focus has moved slightly in the positive direction since Cycle 7. This is very fortunate, as it has brought NIC3 closer to focus than it was for the duration of Cycle 7. However, since the optimal NIC3 focus is still slightly beyond the range of motion of the PAM, no adjustment was required for the NIC3 focus position. See Figure 1 for a plot of the NCS focus history compared with the focus histories for Cycles 7 and 7N. Slight variations in the measured focus positions are due to periodic variations in the HST optics, also known as telescope breathing. The present data are not corrected for breathing due to the lack of a robust model. The breathing model that was implemented during Cycles 7 and 7N no longer applies to the NCS data. For more detailed information, see Schultz et al. (2002). 4. 4.1. Coma Analysis Results Serendipitous Data Analysis During the filter wheel test portion of the SM3b SMOV, serendipitous first light images were taken with NIC1 and NIC2. These images revealed some coma in both cameras. A coarse, temporary adjustment was made and uplinked to HST on May 9, 2002 to help diminish the coma in both NIC1 and NIC2. 4.2. NIC1 Coma Analysis A nine point tilt grid for NIC1 executed on May 10, 2002. Four analyses of the data were performed using two independent methods. The first coma-analysis method utilized phase retrieval to measure the X- and Y -coma values at each of the tilt grid positions. These NCS NICMOS Focus and Coma Analysis 269 Figure 1. NCS NICMOS focus history results compared to Cycles 7 and 7N. The x -axis represents the number of days since January 1, 1997 and y-axis represents the position of the PAM in mm. values were then fit to a model and the position at which coma is nulled was extracted from the model. Three separate analyses of the tilt grid were performed using this method. A fourth analysis utilized an independent method in which composite PSFs were created by combining the same nine stars from each of the tilt grid images. Interpolated and extrapolated model PSFs were then built in order to find the optimal grid position at which flux was most symmetrically distributed and coma amplitude minimized. All results agreed well. A recommendation for the final position of (+16, +14) was made and uplinked to HST on May 16, 2002. NIC1 coma was successfully removed. Figure 2 shows the NIC1 PSF before and after the final tilt correction. For more detailed information, see Roye & Krist (2002). 4.3. NIC2 Coma Analysis A thirteen point tilt grid for NIC2 executed on July 9, 2002. Two separate models were built based on the measured phase retrieval X- and Y -coma values at each of the grid points. The results agreed well, and a recommendation for the final position of (+15, +10) was made and uplinked to HST on September 30, 2002. NIC2 coma was successfully eliminated. 270 Roye & Schultz Figure 2. NIC1 and NIC2 PSFs before and after PAM tilt correction for coma. NIC3 PSF is shown for comparison. Figure 2 shows the NIC2 PSF before and after the final tilt adjustment. For more detailed information, see Roye et al. (2002). References Roye, E. W., et al. 2002, ”SM3B Coma Measurement” Technical Instrument Report NICMOS 2002-002 (Baltimore: STScI) Roye, E. W. & Krist, J. 2002, ”NIC2 Coma Measurement” Technical Instrument Report NICMOS 2002-005 (Baltimore: STScI) Schultz, A. B., et al. 2002, ”SM3B Focus Check” Technical Instrument Report NICMOS 2002-001 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Combining NICMOS Parallel Observations A. B. Schultz1 and H. Bushouse Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. Two problems when working with NICMOS parallel observations are combining the images into mosaics and removing the telescope thermal background from the impacted filter images for wavelengths greater than 1.7 microns. We describe a useful technique to combine parallel observations into associations, which then allows for automated mosaicing and background removal using the NICMOS pipeline task calnicb. We demonstrate the technique using parallel NICMOS K-filter images of a region near the galactic center. 1. Introduction The majority of NICMOS observations in the HST Archive are obtained in parallel to other instruments onboard HST and not pointed observations of specific targets obtained as part of a General Observer (GO) science program. Some of these parallel observations are coordinated parallel observations associated with the primary science observations, while others are pure parallel and are unrelated to the primary science observations. Many parallel observations have no proprietary period and are available to the general science community within a day or two of arrival on the ground. In this report, we present a method to combine individual parallel observations into an association so that calnicb can be used in creating a mosaic of the images. And, we address the problem of removing the thermal background from observations obtained with the thermally impacted filters (λ > 1.7 µm). 2. The Data Set As part of the Cycle 11 calibration program to determine the stability of the HST +NCS+ NICMOS thermal background (program ID: 9269), NIC3 F222M filter observations are obtained in parallel to other HST instruments. It is this data set that we will use to demonstrate how to group parallel observations into associations. In particular, a star field near the galactic plane was observed with NIC3 in parallel to the prime STIS/CCD science observations of W-SGR (program ID: 9105), a binary Cepheid variable (HD164975). Any targeted NICMOS F222M filter observation will need a background observation, preferably of equal exposure and of a blank field, to remove the thermal background of the telescope from the data. We will use exposures of a sparse field from the extended set of observations for program 9269, which were obtained close in time to the star field images, as the background data set. For this example, eight exposures each of the star field and the background will be used to produce a mosaic. Both data sets were calibrated using the standard STScI data pipeline program calnica. Calnica removes the instrumental signature from the individual exposures. The calibration steps for NICMOS data are described in 1 Science Programs, Computer Sciences Corporation 271 272 Schultz & Bushouse the NICMOS Instrument Handbook (Malhotra et al. 2002) and in the HST Data Handbook (Mobasher et al. 2002). In the HST ground system, a proposal exposure line that yields multiple exposures will automatically trigger the creation of an association for those exposures, including the creation of an association table that lists the names of all the individual exposures. The association table is then used as input to calnicb. Exposures obtained individually do not trigger the automatic creation of an association table, therefore it must be created by hand in order to process those data through calnicb. Note that not just any random collection of images can be processed with calnicb, as calnicb does not handle rotations amongst images, only simple x/y (RA/Dec) translational shifts. Any rotation between images must be removed before processing with calnicb. 2.1. Science Header Keywords A few keywords in the headers of calibrated files (ipppssoot cal.fits) need to be modified to enable calnicb processing of the parallel observations. If images are only to be stacked with no pattern, then only the NUMITER keyword needs to be modified to reflect the number of images to be stacked. For the example discussed here (target and background), five keywords need to be modified. The keywords PATTERN1, P1 NPTS, PATTERN2, and P2 NPTS only need to be set in the header of the first image listed in the association table, as they are assumed to be constant in all images. The keywords PATTERN2 and P2 NPTS will most likely need to be added to the header as they are omitted for single exposures. The PATTERN2 and P2 NPTS keywords indicate that a secondary pattern was used; such as, a chop pattern. The PATTSTEP keyword will need to be set to a unique value in each image header. The pattern type (PATTERN1 and PATTERN2) should be an accepted NICMOS pattern as defined in the Phase II instructions. For collections of images that contain both target and background exposures use one of the “CHOP” pattern types; such as, “NICONE-CHOP”. In the case for just target images, one of the dither pattern types; such as, “NIC-SPIRAL-DITH” will work. The PATTERN1 and PATTERN2 keywords are set to the same value. The value of the P1 NPTS keyword needs to be the total number of pattern positions observed, while the P2 NPTS keyword value will depend upon the pattern selected. For this example, the NIC-ONE-CHOP pattern was selected as the target and background exposures will only be stacked. The P2 NPTS keyword needs to be set to a value of “2”. The PATTSTEP keyword must be set to a monotonically increasing number, starting with 1 for the first image in the pattern up through (P1 NPTS × P2 NPTS) for the last image. The necessary pattern keywords and their respective values are shown below. > hedit n8c2f8pvq_cal.fits[0] P2_NPTS 2 add+ >imhead n8c2f8pvq_cal.fits[0] l+ ... / PATTERN KEYWORDS PATTERN1= P1_SHAPE= P1_PURPS= P1_NPTS = P1_PSPAC= P1_LSPAC= P1_ANGLE= P1_FRAME= P1_ORINT= P1_CENTR= BKG_OFF = PATTSTEP= ’NIC-ONE-CHOP’ ’ ’ ’ ’ 8 0.000000 0.000000 0.000000 ’ ’no ’ ’ / / / / / / ’ / 0.000000 / ’ / / 2 / / primary pattern type primary pattern shape primary pattern purpose number of points in primary pattern point spacing for primary pattern (arc-sec) line spacing for primary pattern (arc-sec) angle between sides of parallelogram patt (deg) coordinate frame of primary pattern orientation of pattern to coordinate frame (deg) center pattern relative to pointing (yes/no) pattern offset method (SAM or FOM) position number of this point in the pattern Combining NICMOS Parallel Observations PATTERN2= ’NIC-ONE-CHOP’ P2_NPTS = 3. 273 2 The Association Table An association table (i.e., ipppssoot asn.fits) is stored in a FITS file, in a FITS binary table extension. It contains a list of the members in the association, relevant information on the exposures (target or background), and the name of the output product (ipppssoot mos.fits). For example, the association table n626s4020 asn.fits displayed below contains three rows, consisting of the names of the two exposures and the output product name. Column Label 1 2 3 > tread n626s4020_asn.fits 1 2 ___MEMNAME____ ___MEMTYPE____ N626S4DCQ EXP-TARG N626S4DFQ EXP-TARG N626S4020 PROD-TARG 3 MEMPRSNT yes yes yes The easiest way to create an association table for non-association exposures is to copy an existing table and use the ttools package task tedit to edit the table entries. The task tedit allows the user to add or delete rows and to edit individual row entries. There should be a row for each exposure and a row for the output product. For the following example, there are eight rows for the target and background images and two rows for output products. Column Label 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 > tedit n8c2f8010_asn.fits 1 2 ___MEMNAME____ ___MEMTYPE____ N8C2F8PVQ EXP-TARG N8C2F8PWQ EXP-TARG N8C2F8PXQ EXP-TARG N8C2F8PYQ EXP-TARG N8C2F8PZQ EXP-TARG N8C2F8Q1Q EXP-TARG N8C2F8Q4Q EXP-TARG N8C2F8Q5Q EXP-TARG N8C2GLE8Q EXP-BCK1 N8C2GLE9Q EXP-BCK1 N8C2GLEAQ EXP-BCK1 N8C2GLEBQ EXP-BCK1 N8C2GLEEQ EXP-BCK1 N8C2GLEFQ EXP-BCK1 N8C2GLEIQ EXP-BCK1 N8C2GLEJQ EXP-BCK1 N8C2F8010 PROD-TARG N8C2F8011 PROD-BCK1 3 MEMPRSNT yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes Calnicb will create separate output products for the star field and the background, stacking and averaging the images since no dithering was performed. Calnicb also performs background subtraction and source identification on the images in the association. > calnicb n8c2f8010_asn.fits 274 Schultz & Bushouse Figure 1. NIC3 F222M filter parallel imaging of the galactic plane, (left) the calibrated star field image and (right) the star field with the thermal background subtracted. In practice, the field stars in the background images should be removed before the subtraction. The total integration time was (8 × 128 =)1, 024 seconds. The band along the bottom of the images, about ∼ 15–20 rows wide, is due to vignetting by the FDA mask. For this example, the resulting background sky image contained a few point sources which were removed by median filtering before subtracting it from the star field image. The mstools package task msarith was used to perform the subtraction in order to properly propagate the data quality and error arrays of the multi-IMSET files. > msarith n8c2f8010_mos.fits - n8c2f8011_mos.fits starfield_bck 4. Discussion The combined F222M filter image and the same image with the background subtracted are presented in Figure 1. The parallel NICMOS images revealed a couple of dozen bright stars in front of a densely packed background of faint stars, thus demonstrating the usefulness of the above technique to combine parallel observations into a single association. References Malhotra, S., et al. 2002, “Near Infrared Camera and Multi-Object Spectrometer Instrument Handbook,” Version 5.0, October 2002 (Baltimore: STScI) Mobasher, B., et al. 2002, “HST Data Handbook for NICMOS,” Version 5.0, January 2002 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. NICMOS User Tools and Calibration Software Updates M. Sosey Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. This is a summary of the available internet software tools useful for processing NICMOS datasets. A general overview of each web tool and its output is provided along with a short discussion on the most recent updates to the calibration pipeline software—CALNICA and CALNICB. 1. Currently Available Internet Tools All of the tools described below may be found under the Software Tools heading at the NICMOS Instrument website—http://www.stsci.edu/instruments/nicmos. 1.1. Temperature Dependent Dark Tool This tool generates synthetic dark reference files which correspond to a specific temperature. The web form of this tool currently only creates darks which can be used to calibrate data taken between August 22, 1997 and January 4, 1999. Similar code has already been implemented in CALNICA, in the NICMOS calibration pipeline software, to create on-the-fly temperature dependent darks. The CALNICA code accommodates all cycles of NICMOS observations. Further information on the synthetic darks can be found at http://www.stsci.edu/hst/nicmos/tools/syndark.html and in Monroe (1999). 1.2. SAA Crossing Calculator This web tool details when the South Atlantic Anomaly (SAA) passages occurred for a given time period or set of observations. It uses a set of Science Mission Schedule (SMS) calendar files, which contain the SAA entrance and exit times. The NICMOS SAA avoidance model is number 23. Every instrument/detector has its own model, hence allowing changes to a model without unnecessarily affecting other instruments. At the moment SAA model 05 and model 23 share the same definition, however, this may change in the future. 1.3. Imaging Exposure Time Calculator (ETC) This tool estimates the integration time and Signal-to-Noise Ratio (SNR) on a point source or extended object, derived selection limits and checks for saturation. For point sources, the SNR calculation is for the brightest pixel. For extended sources, the signal is the number of photons detected in one pixel. Noise is always the noise in a single pixel (standard deviation in a pixel due to photon statistics and instrumental noise). Proposers are strongly recommended to use the ETC to estimate exposure times. The ETC provides the most accurate estimates with the most current information on the instrument performance. This is achieved by updating the ETC reference tables with the most recent values of the instrumental characteristics. Information on the scientific verification of the NICMOS CGI ETC can be found in Sosey (2001). 275 276 1.4. Sosey Attitude History Tool This tool returns two plots, both histograms. The first is Solar Elongation versus Time, and the second is the Off-Nominal Roll (in degrees) versus Time. The only input required is the start time of the dataset(s); the returned graph will cover the previous and following two days. 1.5. Temperature Dependent Flatfield Tool and Color Dependent Flats This tool generates temperature dependent flatfield reference files and is available for all imaging filters. NICMOS is operating at a stable temperature of 77.1 K under NCS control and there is no temperature dependent data available to create the flatfield model around this value. Therefore, this tool is only relevant for data taken between January 1997 and January 1999 (pre-NCS). There are two scripts available on the NICMOS website (http://www.stsci.edu/hst/ nicmos/tools/colorflat intro.html) for creating color dependent flatfield images. As detailed in Storrs (1999), the pipeline flatfield data for NICMOS is made with the use of on-board flatfield lamps which have an intrinsically blue color over most of the NICMOS sensitivity range. Sources with extreme colors do exist and broadband images of such sources may require special treatment. 1.6. Units Conversion Tool The NICMOS Units Conversion Program is a tool for converting fluxes of astronomical sources from units which are widely used in Astronomy (e.g., magnitude, ergs/sec/cm2 /angstrom) into Jansky (Jy), and vice versa. The Jy, or for the case of an extended source, Jansky/arcsec2 , is the flux unit adopted in the NICMOS Handbook and used by the NICMOS ETC. The details of the FORTRAN program which handles the unit conversion are explained in Skinner (1996). The report (and all other Instrument Science Reports) are available under the Documentation section of the NICMOS WWW page. Modification to the FORTRAN program were added by Daniela Calzetti (July 02, 1996 and April 09, 1997) to handle power-law spectra and AB mags). Unit conversion between magnitude and fluxes, and visa versa, requires information on the magnitude, zero-point value and the bandpass central wavelength. The zero-point magnitudes used in this program are from the CIT system, or in the case of the L1 band— commonly known as L band—from the UKIRT system. 1.7. Polarimetric Imaging Tools A set of IDL programs exsist which may be used to produce polarization coefficient images from observed data in NIC1 or NIC2. The images are derived using input from the user and contain options for superimposing polarization vectors and contours on the intensity image. A detailed user’s manual exsists in Mazzuca & Hines (1999). Further information on methodologies for reducing polarimetric data can be found in Mazzuca et al. (1998). 2. NICMOS Calibration Pipeline Updates The following updates have been made to the NICMOS calibration pipeline software, and are applied to versions after and including CALNICA v4.0 and CALNICB v2.5. STSDAS v3.0 is the current release, it contains the updates to the CALNIC software and can be down loaded at STSDAS webpage served from the STScI web pages. 2.1. CALNICA Updates Version 4.0 now creates and applies temperature dependent darks for all datasets. This is applicable to all data taken since August 22, 1997. The new code is based on the code used NICMOS User Tools and Calibration Software Updates 277 in the Web based tool. The web tool currently only accommodates pre-NCS data, while the CALNICA code has been modified to accept all NICMOS datasets. This is accomplished with the new tdd.fits reference files which contain tables of shading profiles and are referenced by temperature—keyed off the new global header keyword TEMPFILE. Setting TEMPFILE=‘N/A’ will force CALNICA to use the dark file referenced in DARKFILE. Using the temperature depended dark code is the default action that CALNICA takes. If you wish to use the new version of CALNICA on files already saved to a local disk, you must add the keyword TEMPFILE to the header. On-the-fly processing (OTFP) is now implemented for all NICMOS data which is retrieved from the archive. OTFP data should still always be checked for agreement with the most recent reference file. Following deep SAA passages, residual images of CR hits incurred while in the SAA are still visible in long exposures following the passage. The spatially correlated nature of the decaying signal means CALNICA cannot find and reject them. The random distribution of these ‘persistent cosmic rays’ increases the noise in the image and limits faint source detections. The time scale of the decaying signal is exponential and is detectable for ∼ 30 minutes following a passage (the same time scale as that from persistent images caused by extremely bright sources). Starting in Cycle 11, a pair of ACCUM mode NICMOS dark exposures is scheduled after each SAA passage in order to provide a map of the persistent cosmic ray afterglow at a time when it is strongest, and has just begun to decay. Post-SAA darks are delivered for each affected dataset retrieved from the HST Archive. However, the analysis for creating and using crmaps with these darks is still underway. New header keywords have been added to the global extension of all science images and are listed in Table 1. Table 1. New Header Keywords Keyword SAA EXIT SAA DARK SAA TIME SAACRMAP Description Time of last exit from the SAA 23 contour Association name for the post-SAA dark exposure Seconds since last exit from SAA 23 SAA cosmic ray map file (still in development) Software is being developed to measure the detector temperature from bias measurements. This method is at least as accurate as reading the temperature from the mounting cup sensors. This method will be the most accurate temperature determination for camera 3, for which the mounting cup sensor has a limit of 76.28K, below the current operating temperature of 77.1 K. For this reason all camera temperatures are now being specified by the mounting cup 11 sensor (NDWTMP11) in the spt[1] header. 2.2. CALNICB Updates CALNICB has been updated to recognize and process the generic pattern types of SPIRAL and LINE. These can be used to perform dithering and chopping at the same time, producing target and background images. The software does not recognize the background images as such, but they will now process cleanly through CALNICB. References Mazzuca, L., Sparks, B., & Axon, D. 1998, Instrument Science Report NICMOS 98-017 (Baltimore: STScI) 278 Sosey Mazzuca, L. & Hines, D., 1999 Instrument Science Report NICMOS 99-004 (Baltimore: STScI) Monroe, B. 1999, Instrument Science Report NICMOS 99-010 (Baltimore: STScI) Skinner, C. 1996, Instrument Science Report NICMOS 96-014 (Baltimore: STScI) Sosey, M. 2001, Instrument Science Report NICMOS 2001-01 (Baltimore: STScI) Storrs, A., Bergeron, E., & Holfeltz, S. 1999, Instrument Science Report NICMOS 99-002 (Baltimore: STScI) Part 4. WFPC2 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. WFPC2 Status and Overview B. C. Whitmore Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The current status of the Wide Field and Planetary Camera 2 is reviewed, with special emphasis on the five years since the previous HST Calibration Workshop. The WFPC2 continues to work nearly flawlessly, with the only major problem being a shutter anomaly in October, 2000, which put the camera offline for approximately a month. The two servicing missions (SM3a and SM3b) did not affect the long-term characteristics of the WFPC2. We also report on the status of basic WFPC2 characteristics (photometry, focus, and astrometry) and briefly mention some of the recent WFPC2 projects. 1. Highlights From the Past Five Years It has been five years since the previous calibration workshop, and the report by Whitmore (1997) on the status of the WFPC2. An earlier status report was provided by MacKenty (1995). The current report will therefore concentrate on the past five years. WFPC2 has been operating for almost nine years now (launch was December, 1993), and over 125,000 external science exposures have been taken. The instrument has worked almost flawlessly during this period, with the only mechanical problem being a shutter anomaly in October, 2000, which put the WFPC2 offline for approximately one month. This problem was due to the degradation of the LED-sensor assembly in the shutter mechanism combined with slight mechanical misalignments. The problem was solved by increasing the length of time the LED is on before reading the sensor. A detailed report is available in Casertano (2000a). Two servicing missions have occurred during the past five years, Servicing Mission 3a in December, 1999, and Servicing Mission 3b in March, 2002. In both cases, extensive post servicing mission tests have shown that the WFPC2 characteristics (e.g., quantum efficiency, point-spread-function, flatfields, ...) have not been affected. The only minor exception is a temporary (approximately one month) increase in the UV contamination rate, presumably due to additional contaminants originating from the shuttle and/or other newly installed instruments during the servicing mission. Detailed reports covering these post servicing mission tests are available in Casertano et al. (2000b) and Koekemoer et al. (2002a). Table 1 shows how the filter usage has changed over the past five years. There are two trends responsible for most of the changes. The first is the increased usage of the very wide filters F300W, F450W, F606W, and F814W. This evolution was inspired by the Hubble Deep Field, which employed these four filters. The second trend is for the increased usage of the narrow-band filters, especially F656N (Hα), F658N (redshifted Hα), and F502N (OIII). Some of the scientific highlights originating from WFPC2 during the past five years have been the Hubble Deep Field South; untangling the nature of gamma gay bursts; and observations of supernovae at z > 1 that support the existence of dark energy, to name just a few. On the calibration front, the development of the DRIZZLE software (Fruchter & Hook 1997), and formulae for the correction of Charge Transfer Efficiency loss (Whitmore, Heyer, & Casertano 1999, Dolphin 2000) were important contributions. When one reflects on the fact that the WFPC2 has received the lion’s share of observing time during the past nine years, on arguably the most important telescope ever developed, 281 282 Whitmore it would appear to be a fair statement to say that the WFPC2 camera may be the most successful astronomical instrument ever built. The astronomical community owes a great debt of gratitude to John Trauger and the Instrument Development Team that designed and built the WFPC2. Table 1. Historical Usage of Filters since Launch Filter F814W F606W F555W F300W F450W F675W F702W F439W F656N F336W F170W F547M F850LP F502N F1042M F673N F160BW F658N F410M F953N F255W F218W F791W F785LP F631N F467M F622W F588N F380W F487N F122M a Dec/93–Sep/02a (# of exposures) 18867 16560 11700 6300 3729 3316 2756 2304 2283 2219 1991 1903 1542 1165 1043 1042 966 934 926 921 919 755 588 503 355 336 237 200 198 191 181 rank 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Dec/93–Aug/97a (# of exposures) 7689 3033 5506 1381 680 1516 1755 1254 684 1225 1129 806 698 451 500 518 755 300 382 549 487 469 rank 1 3 2 6 14 5 4 7 13 8 9 10 12 21 18 17 11 24 22 15 19 20 Comments NOTE CHANGE NOTE CHANGE NOTE CHANGE NOTE CHANGE NOTE CHANGE NOTE CHANGE NOTE CHANGE NOTE CHANGE External exposures only 2. 2.1. The Basics Photometry The photometric stability over a short period of time for the major broadband filters continues to be very good, with rms scatter <1% (Figure 1). However, a slow (few percent during the 9 years in orbit), linear decrease is present in the throughput for most filters. This appears to be due to the degradation of Charge Transfer Efficiency (CTE) with time (See Figure 4.6 of Koekemoer et al. 2002a). WFPC2 Status and Overview Figure 1. Comparison of post-SM3b photometric monitoring observations (the large stars) with historical trends. (Whitmore & Heyer 2002a, Koekemoer et al. 2002a). 283 284 Whitmore Figure 2. Growth of Y-CTE with time for faint stars (Heyer, 2001). This degradation of CTE with time continues to be perhaps the most significant problem for the WFPC2. The existence of CTE loss was first discussed by Holtzman et al. (1995b). They advocated using a 4% ramp to correct for the problem at the time. Whitmore et al. (1999) more fully characterized CTE loss, and showed that it is a function of 1) Y position on chip (parallel CTE), 2) X position on the chip (serial CTE), 3) target brightness, and 4) background level. They also found that the problem was growing linearly with time (see Figure 2). Since then, several other studies have confirmed the effect, and have added important contributions to the characterization of the CTE. In particular, the recommended formula for correcting for CTE loss is currently that of Dolphin (2000 = original paper, 2002 = WWW site with latest update). Other contributions of interest include studies of CTE residuals (Biretta & Mutchler 1997, Baggett et al. 2000), using cosmic rays to measure CTE loss (Riess 1999), extended source CTE (Riess 2000), CTE monitoring (Heyer 2001) and CTE at very low levels and a reexamination of the long-vs.-short anomaly (Whitmore & Heyer 2002b). There is also a nice summary of CTE loss for various HST instruments (Stiavelli et al. 2001). The determination of the photometric zeropoints is also an important topic for many projects. A comparison of zeropoint determinations from five different studies for the primary broad band filters is shown in Figure 3. The rms scatters for the five studies are 0.043 mag for F336W, 0.034 mag for F439W, 0.016 mag for F555W, and 0.018 mag for F814W. We note that the most widely used filters, F555W and F814W, are particularly good, with rms scatter less than 0.02 mag. In the past, the zeropoints determined at STScI have been based on observations of our monitoring star, GRW+70D5824, and the SYNPHOT (synthetic photometry) package in STSDAS. We are now engaged in a project to determine zeropoints (and check Holtzman’s transformation equations) based on comparisons with: Stetson (2002) standards, Saha et al. (2002) standards, and a few Landolt (1992) standards. See Heyer et al. (2002) for details. WFPC2 Status and Overview 285 Figure 3. Comparison between five different zeropoint determinations (Heyer, Richardson, Whitmore & Lubin 2003). We conclude this section by noting that although CTE loss has compromised photometric accuracy to some extent, for typical observations it is still possible to obtain absolute photometric accuracies of a few percent with WFPC2. 2.2. Focus The frequency of focus moves required to stay within 2.5 microns of best focus (which roughly equals the orbital variations induced by “breathing”) has decreased, due to the slowing rate of OTA shrinkage caused by water desorption. Figure 4 shows the WFPC2 focus position since launch. Note that the recent trend is slightly negative. A focus adjustment was therefore made in November, 2002. The focus measurements are made on the PC, due to its better spatial sampling. The other chips are slightly out of focus, since there is no mechanism to adjust separately the focus for each chip. In particular, the worst focus is on the WF3 chip, which is about 5 microns out of focus relative to the PC. For further discussion and information on how focus affects photometry see Suchkov and Casertano (1997). 286 2.3. Whitmore Astrometry The ability to transform accurately from x, y instrument coordinates to RA, DEC coordinates on the sky is fundamental for a large fraction of WFPC2 observations. In addition, the advent of dithering increases the need for very accurate relative astrometry, so that blurring of the image due to a poor geometric solution is not introduced when recombining the image. A number of geometric distortion solutions were determined shortly after launch, including those by Holtzman et al. (1995a), Trauger et al. (1995), and Gilmozzi et al. (1995). These had ≈5 mas residuals near the center and 10–15 mas residuals in the corners. Casertano & Wiggs (2001) developed a much better solution with uncertainties ≈1.2 mas on the WF and 4 mas on the PC. Most recently, Anderson & King (2003) produced what is currently the best solution with ≈1 mas rms per star. Kozhurina-Platais et al. (2003) are extending this work done in the F555W filter to encompass other wavelengths. 3. 3.1. Recent WFPC2 Projects UV Contamination Rate Update The UV throughput for WFPC2 degrades with time due to contaminants within the cameras that freeze out on the faceplate. For example, the throughput in the F160W filter on the PC declines by about a percent per day. The throughput can be recovered by heating the WFPC2 and sublimating the contamination off the faceplate. Until recently, these decontaminations were done roughly once per month. A recent reexamination of the UV throughput as a function of time by McMaster & Whitmore (2002) shows that the contamination rates have decreased by roughly 50% since WFPC2 was launched. Hence, we now have a long enough baseline to determine temporal trends, rather than simply measuring the rate for a given year. This allows us to average the data, and provides a simpler, more accurate correction. The lower rate has also allowed us to save telescope time by extending the time between decontaminations from 30 to 50 days. 3.2. Pointing Accuracy Pointing accuracy is less important for the WFPC2 than for most of the other instruments, due to its wide field of view. However, there are instances where larger than normal excursions between the true and intended positions can cause problems. Hence, we try to keep the observed offsets to ≈ 1 , so that the uncertainty due to guide star positions is the dominant error. However, as the FGS-to-FGS alignments change with time (e.g., do to desorption in the new FGS’s after they are launched), the observed offsets also change, and depend on which of the three FGSs is “dominant.” A recent examination of the pointing accuracy by Brammer, Whitmore & Koekemoer (2003) showed an offset of ≈ 1.5 between the commanded and actual pointing positions for WFPC2. While not particularly important for most WFPC2 users, this does increase the uncertainty in determining absolute astrometric positions from the 1–2 values imposed by uncertainties in guide star positions to a value of 2–3. A realignment of the FGS-to-FGS positions in October, 2002, is expected to solve this problem. We note that for cases where accurate astrometric accuracy is important, the users can remove this offset by determining the positions of astrometric standards that are in the WFPC2 field of view, if they exist. 3.3. Flatfield Update High quality flatfields are critical for a variety of astronomical projects, especially those where very accurate photometry is required. Improved flatfields were developed by Koekemoer, Biretta, and Mack (2002) and installed in the calibration pipeline in March, 2002. Improvements included: 1) the first major revision since previous flats were produced (based WFPC2 Status and Overview 287 Figure 4. Measured focus position for WFPC2 since launch. A value of 0 microns is the optimal focus position. on 1994–1995 data), 2) inclusion of new dust spots as a function of time, 3) measurement of the time dependence of large-scale features caused by long-term changes in the camera geometry, 4) measurement of pixel-to-pixel structure to levels below ≈0.3% for the PC and ≈0.2% for the WF chips. Improved UV flatfields were also produced by Karkoschka & Biretta (2001; installed in 2001), and Karkoschka (2003). 3.4. CADC “Association” Images The Canadian Astronomical Data Center (CADC), in conjunction with the European Coordinating Facility (ECF), have combined WFPC2 images from the archives to produce “association” images. These are currently being used as preview images for the HST archives. The images will be available through the HST archive in the near future. For more information see the CADC WWW site at: http://cadcwww.hia.nrc.ca/wfpc2/ 288 Whitmore Figure 5. On the left are the raw positions of our standard star (GRW+70d5824) using different guide stars. On the right are the “corrected” positions. See Brammer, Whitmore & Koekemoer (2003) for details. 4. References and Resources The WFPC2 has now been in orbit for almost nine years, and an extensive set of documentation has been developed. This includes both STScI developed documents, such as the WFPC2 Instrument Handbook, and papers in the astronomical journals, such as the two classic Holtzman papers (Holtzman et al. 1995a,b). The Data Analysis Library (formerly know as the WFPC2 Clearinghouse) provides easy access to both sets of documents, although it has not been extensively updated as far as the external astronomical literature since 1997, when the high volume of WFPC2 related articles became overwhelming. A history file is also maintained that provides a chronological record of various WFPC2 information (e.g., focus moves, decontamination dates, software changes, etc.). The primary sources of WFPC2 documents are available via the WFPC2 WWW site at: http://www.stsci.edu/instruments/wfpc2/wfpc2 top.html. These include: • The WFPC2 Instrument Handbook–Version 7.0, October 2002 (Biretta, Lubin, et al. 2002) • The HST Data Handbook for WFPC2–Version 4.0, January, 2002 (Baggett, McMaster, et al. 2002) • The HST Dither Handbook–Version 2.0, January, 2002 (Koekemoer et al. 2002b) • The WFPC2 Tutorial–Version 3.0, July 2002 (Gonzaga et al. 2002) Detailed reports on specific topics are available at the WFPC2 WWW site in the form of Instrument Science Reports (ISRs) and Technical Instrument Reports (TIRs, generally for internal use but available on request). The following software tools are also available: • Exposure Time Calculator WFPC2 Status and Overview 289 • Linear Ramp Filter Calculator • CTE Estimation Tool • Polarization Calibration Tool • Data Analysis Library (formerly WFPC2 Clearinghouse) Other WWW sites of interest are: • Andrew Dolphin’s WWW page (e.g., CTE correction formula): http://www.noao.edu/staff/dolphin/wfpc2 calib/ • The WFPC2 “Metrics” page: http://www.stsci.edu/hst/metrics/SiUsage/WFPC2/ 5. Summary The WFPC2 continues to work almost flawlessly, with no major mechanical, electrical, or systems problems. The most serious problem that has occurred in its nine years of operation is a shutter malfunction in October, 2000, that resulted in one month of downtime before it was fixed. During most of this time the telescope has received the lion’s share of the observing time (≈40%). The images from the camera have inspired both scientists and the public with incredible pictures that include the Hubble Deep Field, the collision of Comet Shoemaker-Levy with Jupiter, and the Eagle Nebula, to name just a few. The degradation of Charge Transfer Efficiency (CTE) with time has been perhaps the most important calibration issue, but for typical science exposures this still only amounts to a loss of about 10% of the throughput. A correction formula (Dolphin 2002) is available for point sources, and work continues on a tool to correct images on a pixel-by-pixel basis. An extensive set of documentation is available, both via the WFPC2 WWW site and in the astronomical community at large. WFPC2 will be replaced by Wide-Field Camera 3 (WFC3) during Servicing Mission 4, which is currently scheduled for February, 2005. Acknowledgments. We wish to thank the entire STScI WFPC2 team, both past and present, for their support of the WFPC2. It has truly been a pleasure working with this dedicated group of people. Special thanks to Sylvia Baggett, who determined the statistics shown in Table 1, and Matt Lallo and Russ Makidon, who produced the focus plot shown in Figure 4. Finally, thanks to John Trauger, Jon Holtzman, and the IDT for building the WFPC2 and producing the original characterization of the camera. References NOTE: Instrument Science Reports listed below are available at: http://www.stsci.edu/instruments/wfpc2 Anderson, J. & King, I. 2003, PASP, in press Baggett, S., et al. 2000, Instrument Science Report WFPC2 00-03 (Baltimore: STScI) Baggett, S., McMaster, M., et al. 2002, HST Data Handbook for WFPC2 (Baltimore: STScI) Biretta, J. & Mutchler, M. 1997, Instrument Science Report WFPC2 97-05 (Baltimore: STScI) Biretta, J., Lubin, L. M., et al. 2002, WFPC2 Instrument Handbook (Baltimore: STScI) Brammer, G., Whitmore, B. C., & Koekemoer, A. 2003, this volume, 329 Casertano, S., et al. 2000a, http://www.stsci.edu/instruments/wfpc2/wfpc2 resources.html 290 Whitmore Casertano, S., et al. 2000b, Instrument Science Report WFPC2 00-02 (Baltimore: STScI) Casertano, S. & Wiggs, M. 2001, Instrument Science Report WFPC2 01-10 (Baltimore: STScI) Dolphin, A. 2000, PASP, 112, 1397 Dolphin, A. 2002, http://www.noao.edu/staff/dolphin/wfpc2 calib Fruchter, A. & Hook, R. N. 1997, SPIE, 3164, 120 Gonzaga, S., et al. 2002, WFPC2 Tutorial (Baltimore: STScI) Gilmozzi, R., Ewald, S., & Kinney, E. 1995, Instrument Science Report WFPC2 95-02 (Baltimore: STScI) Heyer, I. 2001, Instrument Science Report WFPC2 01-09 (Baltimore: STScI) Heyer, I., Richardson, M., Whitmore, B. C. & Lubin, L. 2002, this volume, 333 Holtzman, J., et al. 1995a PASP, 107, 156 Holtzman, J., et al. 1995b PASP, 107, 1065 Karkoschka, E. 2003, this volume, 315 Karkoschka, E. & Biretta, J. 2001, Instrument Science Report WFPC2 01-07 (Baltimore: STScI) Koekemoer, A. M., Biretta, J., & Mack, J. 2002, Instrument Science Report WFPC2 02-02 (Baltimore: STScI) Koekemoer, A. M., et al. 2002a, Instrument Science Report WFPC2 02-06 (Baltimore: STScI) Koekemoer, A. M., et al. 2002b, HST Dither Handbook (Baltimore: STScI) Kozhurina-Platais, V., et al. 2003, this volume, 354 Landolt, A. 1992, AJ, 104, 340 Mackenty, J. C. 1995, in The 1995 HST Calibration Workshop, eds. A. Koratkar & C. Leitherer (Baltimore: STScI) McMaster, M. & Whitmore, B. 2002, Instrument Science Report WFPC2 02-07 (Baltimore: STScI) Riess, A. 1999, Instrument Science Report WFPC2 99-04 (Baltimore: STScI) Riess, A. 2000, Instrument Science Report WFPC2 00-04 (Baltimore: STScI) Saha, A. 2002, private communication Stetson, P. 2002, http://cadcwww.hia.nrc.ca/standards/ Stiavelli, M., et al. 2001, Instrument Science Report WFC3 01-05 (Baltimore: STScI) Suchkov, A. & Casertano, S. 1997, Instrument Science Report WFPC2 97-01 (Baltimore: STScI) Trauger, J. T., et al. 1995, in The 1995 HST Calibration Workshop, eds. A. Koratkar & C. Leitherer (Baltimore: STScI) Whitmore, B. C. 1997, in The 1997 HST Calibration Workshop, eds. S. Casertano, R. Jedrzejewski, Tony Keyes, & Mark Stevens (Baltimore: STScI) Whitmore, B. C. & Heyer I. 2002a, Technical Instrument Report WFPC2 02-04 (Baltimore: STScI) Whitmore, B. C. & Heyer I. 2002b, Instrument Science Report WFPC2 02-03 (Baltimore: STScI) Whitmore, B. C., Heyer I., & Casertano, S. 1999, PASP, 111, 1559 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. WFPC2 Calibration and Close-Out A. M. Koekemoer Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. This work summarizes the overall calibration strategy for WFPC2, covering the design of the observational programs as well as analysis of the results and their incorporation into the calibration pipeline. This strategy comprises routine long-term calibration monitoring programs, including darks, biases, flat fields, photometric and astrometric monitoring, as well as special calibration programs such as CTE and PSF characterization, and photometric cross-calibration with ACS and ground-based systems. In addition, we discuss special close-out calibration programs planned for the remaining cycles of WFPC2 operation, and describe ways in which community input can play a key role in further defining these plans. 1. Introduction The Wide Field and Planetary Camera 2 (WFPC2) has been the principal imaging camera on board the Hubble Space Telescope (HST ) for the past nine years, after being installed during the first Servicing Mission in December 1993. Its comprehensive suite of 48 filters, spanning wavelengths from the far ultraviolet to one micron, and including wide, medium and narrow-band as well as polarimetric and linear ramp filters, have facilitated an exceptionally wide range of scientific projects, with over 125,000 science exposures obtained to date. Cycle 12 is currently planned to be the last full cycle for WFPC2 operation, since it will be removed in 2005 during Servicing Mission 4 and replaced with the Wide Field Camera 3 (WFC3). Therefore we are currently planning the final cycle of special “Close-Out” calibration programs and related activities, aimed at maximizing the scientific value of the wealth of archival WFPC2 data. In addition to our normal calibration plan for WFPC2 that is performed during each cycle, we are soliciting general input from the community as to whether there are any additional calibration programs that should be carried out with WFPC2 during this final cycle, in order to improve or augment our current calibration accuracies or explore new types of calibration. Here we describe the normal WFPC2 calibration plan along with the special calibration programs that are currently underway, and some ideas for other possible programs that may help to maximize the archival legacy of WFPC2. 2. Overview of WFPC2 Calibration Strategies The general philosophy of WFPC2 calibration is divided broadly into three areas: • Basic activities aimed at maintaining the general health and safety of the instrument. Examples of this include the regular “decontamination” procedures (DECONs), along with associated photometric observations and internal measurements to ensure that the instrument continues to function as expected. 291 292 Koekemoer, et al. • Routine calibration monitoring programs, which are carried out with sufficient frequency to allow the calibration accuracy to be maintained for instrument characteristics that are time-dependent. Examples of these include flatfields, bias and dark frames, and additional photometric monitors, supplementing those obtained during the regular DECONs. • Special calibration programs, aimed at characterizing anomalous behavior or improving our knowledge of some aspect of the instrument. Examples of these have included programs aimed at characterizing the Charge Transfer Efficiency (CTE) problem, or astrometric measurements of the camera distortion, or photometric cross-calibration with other instruments and filter systems. At the start of each HST observing cycle, the WFPC2 group has assembled a calibration plan outlining the various programs to be carried out for that cycle, along with a budget of how many orbits would be required. The orbits are divided into “external” orbits (observations of real astronomical targets) along with “internal” exposures (such as darks, biases and flats using the internal lamps) that may be obtained during occultation or in parallel with another instrument observing as the prime instrument. In addition, after the completion of each cycle the WFPC2 group has issued a Calibration Close-Out report, describing the principal results from the programs during that cycle. In Table 1 we present a summary of all the WFPC2 calibration plans and close-out reports that have been published to date by the WFPC2 group. During the first few on-orbit cycles for WFPC2, the total number of external orbits allocated to these programs generally ranged between about 70 and 90 for each cycle, while the number of internal exposures typically ranged between about 2000 and 3000 per cycle. The decreased demand for WFPC2 during recent cycles has led to a decrease in the allocation of external orbits (61 and 40 orbits for Cycles 10 and 11 respectively), while the number of internal exposures remains at ∼2000 per cycle. Table 1. WFPC2 Calibration Plans and Close-Out Reports, as of October 2002 ISR Number ISR WFPC2-96-08 ISR WFPC2-97-06 ISR WFPC2-99-02 ISR WFPC2-00-01 ISR WFPC2-01-03 ISR WFPC2-02-05 Date Jul 23, 1996 Aug 18, 1997 May 19, 1999 May 25, 2000 May 15, 2001 Aug 15, 2002 WFPC2 WFPC2 WFPC2 WFPC2 WFPC2 WFPC2 Cycle Cycle Cycle Cycle Cycle Cycle Title 6 Calibration Plan 7 Calibration Plan 8 Calibration Plan 9 Calibration Plan 10 Calibration Plan 11 Calibration Plan Authors Casertano et al. Casertano et al. Baggett et al. Baggett et al. Baggett et al. Gonzaga et al. ISR ISR ISR ISR ISR Dec 22, 1995 Feb 3, 1997 Apr 21, 1998 Dec 23, 1999 Jun 11, 2001 WFPC2 WFPC2 WFPC2 WFPC2 WFPC2 Cycle Cycle Cycle Cycle Cycle 4 5 6 7 8 Baggett et al. Casertano et al. Baggett et al. Baggett et al. Baggett et al. WFPC2-95-07 WFPC2-97-02 WFPC2-98-01 WFPC2-99-05 WFPC2-01-06 Calibration Summary Calibration Closure Report Calibration Closure Report Closure Report Closure Report For Cycle 12, we plan to continue the routine monitoring programs for WFPC2, with a similar orbit allocation to Cycle 11. The plan for Cycle 12 will be finalized in Spring 2003, therefore we are now soliciting from the community ideas for “special” calibration programs that should be included, which can be either external (most likely limited to a few orbits), or internal. 3. Routine WFPC2 Calibration Monitoring Programs The routine calibration programs for WFPC2 can be divided into DECONs (and the observations directly associated with them), and longer-term monitoring programs aimed at extending or supplementing the observations obtained during the DECONs. Here we describe both classes of programs, currently executing for Cycle 11 and planned for Cycle 12. WFPC2 Calibration and Close-Out 3.1. 293 Decontaminations and Related Observations The WFPC2 is continually subject to the deposition of contaminants on the cold CCD windows (−88◦ C) inside the camera, and the absorption from these contaminants significantly reduces the throughput of the instrument at Far-UV and Near-UV wavelengths. The contaminants deposit gradually, typically producing ∼ 0.5–1% loss in throughput per day in the F170W filter. Throughput losses of up ∼ 30% can be tolerated, thus throughout the on-orbit life of WFPC2 we have scheduled “decontamination” visits (DECONs) approximately once per month, where the camera heads are heated to +22◦ C, usually for a 6 hour period. This has been shown to completely evaporate the contaminants, after which they start to deposit once more as soon as the instrument is cooled down to −88◦ C. Thus far no permanent contamination has ever been observed in the instrument. In Cycle 11 the time interval between DECONs was increased to 49 days, since the contamination rate has been shown to have decreased considerably over recent years (McMaster & Whitmore 2003, this volume). In addition, the temperature increase during the DECONs serves to “anneal” most of the hot pixels that form on a daily basis as a result of radiation damage (usually several tens of pixels/day for each CCD). Therefore, the calibration programs associated with the DECON visits include not only external photometric monitoring observations, but also internal darks, biases and INTFLATs, to verify basic instrument performance. Finally, these visits contain observations of the Kelsall spots (KSPOTS) in the WFPC2 pyramid, that can be used to obtain valuable information on long-term movements of the four cameras with respect to one another. In Table 2 we show all the observations that are associated with each DECON visit, as described more fully in Cycle 11 calibration programs 9589 and 9590. Table 2. WFPC2 DECON Visits and Observations, executed once every 49 days Type of Exposure Filter (Pre-and Post-DECON Observations) GRW+70D5824 (WD star) F170W GRW+70D5824 F160BW, F218W, F225W, F300W, F336W, F439W, F555W, F814W DARK — BIAS — INTFLAT F555W KSPOTS F555W (Additional Post-DECON Observations) INTFLAT F336,F439,F555W, F675W, F814W 3.2. Notes all 4 CCDs Rotates among the 4 CCDs with each DECON visit GAIN GAIN GAIN GAIN = = = = 7 7, 15 7, 15 15 GAIN = 7 Other Routine Monitoring Programs Although the observations associated with the DECON visits provide sufficient information to verify the basic operational functionality of the instrument, they are not performed with sufficient frequency to allow us to base our calibration on these data alone, nor do they cover the entire range of capabilities of the instrument. Instead, routine monitoring of the full suite of WFPC2 capabilities is provided by two classes of additional programs: (1) relatively 294 Koekemoer, et al. frequent internal observations, and (2) full sweeps of the entire WFPC2 filter set, performed once during each cycle. Here we summarize these programs. Daily and Weekly Internal Monitors. The internal monitors consist primarily of weekly programs that provide 30 minute DARK frames (five with CLOCKS=NO and one with CLOCKS=YES), along with INTFLATS and BIAS frames taken at both gain settings (Cycle 11 programs 9592 and 9596). The darks with CLOCKS=NO are used to create the weekly darks, while those with CLOCKS=YES are simply obtained as a service to those observers who wish to use the less-supported mode of leaving the serial clocks on during the exposure. The weekly darks are in turn used to create the superdark that is the basis for the dark reference file for each DECON cycle that is used in the calibration pipeline, while the biases are used to create the superbias on an approximately annual basis. The INTFLATs are used to monitor the gain stability of the instrument. In addition, we obtain up to 3 shorter exposure darks (1000s each) on a daily basis, as a service to GOs who may wish to create their own darks from data that may be closer to the time of their observations than the standard weekly darks. During Cycle 11 these supplemental daily darks are obtained in programs 9593, 9594 and 9595. In Table 3 we summarize all these exposures. Table 3. WFPC2 Daily and Weekly Internal Monitors Type of Exposure DARK DARK BIAS NTFLAT Frequency 3 times/day 5 times/week 4 times/week 2 times/week Notes GAIN GAIN GAIN GAIN = = = = 7; 7; 7, 7, exptime=1000s exptime=1800s 15 15 In addition to the internal monitors, we regularly obtain exposures of the bright earth (EARTHFLATs) when WFPC2 is not observing as prime instrument. These are taken continually throughout the year in a range of narrow-band optical and UV filters (Cycle 11 programs 9598 and 9599 respectively), and are aimed at monitoring long-term changes in the flatfields. The optical EARTHFLATs consist of 200 exposures in each of four narrowband filters (F375N, F502N, F656N, F953N), and 50 exposures in each of 10 other filters (F160BW, F336W, F343N, F390N, F437N, F469N, F487N, F631N, F658N, F673N). The UV program contains 100 exposures in each of 6 filters (F170W, F185W, F218W, F255W, F300W, and F336W) along with 20 exposures in each of 4 crossed filter sets (F170WxF606W, F218WxF450W, F300WxF814W, F336xF814W) in order to assess and remove the redleak contribution. These observations have been used to update the pipeline flatfield reference files, and also allow the possibility of substantial improvements in the pixel-to-pixel flatfields (Koekemoer, Biretta & Mack 2002). Annual Routine Monitoring Programs. A number of monitoring calibration programs are carried out on a less regular basis, either because they use limited resources (external orbits, or usage of the VISFLAT lamps which are decaying with time), or because they track changes that are relatively slow. The annual photometric filter sweep (Cycle 11 program 9590) contains exposures of the WFPC2 standard star GRW+70D5824 at GAIN=15 in the filters F675W, F450W, F467M, F606W, F791W, F850LP, and F1042M, in all four CCDs, with exposure times ranging between 2s and 40s (except for F1042M which has 2x300s). Other filter sweeps include the UVFLAT sweeps in the filters F160BW, F185W, F122M, F170W, and F336W (generally with exposure times ranging from 400 to 1000s, except for F336W which is 30s), and VISFLAT sweeps in the filters F439W, F555W, F675W, F814W, and FR533N. The WFPC2 Calibration and Close-Out 295 UVFLAT sweeps are predominantly aimed at characterizing the long-term evolution of the filters, for example the F160BW which is known to have been developing pinholes over time. The other annual filter-related program involves a complete sweep of all the standard optical and UV filters through the INTFLAT lamps (Cycle 11 Program 9597). These provide long-term monitoring of the pixel-to-pixel response of the flatfields, and also provide a backup database in the event that the VISFLAT lamp can no longer be used. This program also contains a linearity check of the CCDs, consisting of a series of exposures in F555W covering a range of exposure times (6–18 s at GAIN=7, and 8–36 s at GAIN=15), and using both Blade A and Blade B for the flat. In addition to the linearity check, these allow for long-term monitoring of the shutter behavior. This program also contains a set of EARTHFLAT observations through the linear ramp filters FR418NxF437N, FR533P33xF520N, FR680NxF631N, and FR868NxF953N, as well as VISFLAT observations of the same set of ramps uncrossed with any other filters, along with VISFLAT exposures through additional filters (FQUVN and FQCH4N). In addition to providing long-term monitoring of the calibration of these filters, these exposures allow checks of the repeatability of the filter wheel positioning mechanism. 4. Examples of Some Special WFPC2 Calibration Programs In addition to the routine monitoring programs related to instrument health and safety, we also have a variety of “special” calibration programs during each cycle, which are generally aimed at better characterizing some specific aspect of the instrument. These may either be carried over from one cycle to the next, or otherwise need to be done in only one or two cycles. Examples of these programs have included characterization of CTE, improved photometric zeropoints, and astrometric characterization. In Table 4 we summarize the special programs from recent cycles along with the current cycle, after which we briefly describe some of the current programs. Further details of all the programs and their products are available from the WFPC2 web site: http://www.stsci.edu/instruments/wfpc2/. Table 4. WFPC2 Special Calibration Programs since Cycle 7 Program Title Photometric Characterization PSF Characterization CTE Characterization Astrometric Monitor Polarization Noiseless Preflash Photometry of Very Red Stars CTE for Extended Sources Plate Scale Verification Wavelength Stability of LRFs and Narrow-band filters Redleak Check Astrometric Effects of CTE Clocks ON Verification Methane Quad Filter Check WFPC2-ACS Photometric Cross-Calibration Cycle 7,8,9,10,11 7,8,9,10,11 7,8,9,10,11 7,8,9,10,11 8 8 8 8 8 8, 9 9 10 10 10 11 Program IDs 7628, 8451, 8818, 9251, 9601 7629, 8452, 8819, 9257, 9600 7630, 8447, 8821, 9254, 9591 7627, 8446, 8813, 9253, 9600 8453 8450 8455 8456 8458 8454, 8820 8814 9255 9252 9256 9601 We next describe a selection of three of the more recent special calibration programs, which we present here primarily to serve as examples of the types of studies that these types of programs typically consist of. Space limitations do not permit us to include detailed descriptions of all the programs, but all this information, along with the results derived from these programs, are available at the aforementioned WFPC2 web site. 296 4.1. Koekemoer, et al. CTE Characterization The principal aims of the CTE proposals for WFPC2 have been to characterize the effects of CTE on photometry and astrometry of point sources, along with some more recent proposals aimed at investigating CTE effects for extended sources. Not only do the data allow the effect to be described as a function of flux and location on the chip, but they also track its evolution over time. The first results from Cycles 5 and 6 (programs 6192 and 6937 respectively) also led to the identification of the “long-vs.-short” problem, an apparent non-linearity of the photometric calibration. The observational approach has generally consisted of observing a relatively rich starfield (Omega Centauri) in a number of broad-band photometric filters, for a range of exposure times and also using a range of preflash levels. The details have varied from one cycle to the next, depending upon available orbit allocation as well as the specific tests to be performed during each cycle. An example is the Cycle 7 program 7630, which contained observations in F814W with exposure times of 10s, 40s, 100s, 300s, and 1000s, and preflash levels of 0, 5, 10, 100, and 1000 electrons for each exposure time. Smaller subsets of exposure/preflash combinations were obtained in the filters F555W and F300W, in order to provide photometric checks for the other filters. In subsequent programs the preflash tests were reduced, while serving to continue the essential monitoring observations. These programs have thus far led to a number of detailed discussions on how the photometric effects of CTE may be quantified (e.g., Whitmore, Heyer & Casertano 1999; Dolphin 2000, 2002; Whitmore & Heyer 2002 and references therein). Although the photometric effects of CTE have now been well characterized, less is known about its effects on astrometry. A study by Riess (2000) showed that extended sources suffer some degree of distortion due to CTE, indicating that the astrometry of sources must also be affected. For example, the relative separation of a faint source from a bright source may depend on all the factors that influence CTE (position on detector, observing epoch, brightness in electrons, and image background). Therefore, some of the more recent CTE proposals have attempted to quantify the astrometric effects of CTE by measuring: (1) the relative separation of a bright source vs. a faint target at different positions on the PC1 CCD, and (2) the relative motion of a source on the CCD compared to very precise slews performed with the FGSs. These tests are conducted for point and extended targets at several different intensity levels. For these astrometric tests, the target is observed with the PC chip in a 2 × 2 grid, 20 on a side, repeated over two orbits (with the second orbit being slightly offset by half a PC pixel). The 2-orbit sequence is done at different background light levels, using exposures from 100s in F450W to 1200s in F622W, repeated three times for two targets (total 12 orbits). The targets include the dense star field in Omega Centauri, and an extragalactic field of faint galaxies. Both fields are chosen to have a bright star surrounded by fainter objects. While most of the test is performed on the PC, the WFC CCDs are also important, as they can provide a sanity check on the motions made with the FGSs. The motions on the WFC CCDs is a smaller number of pixels, hence less subject to CTE variations. The most recent CTE proposal (Cycle 11, program 9591) aims to do an additional check of CTE characterization, by carrying out the observations in the 2×2 on-chip binning mode. This mode has been seldom used on WFPC2 due to the relatively large size of the WFC pixels (0.1). However, since the level of CTE depends upon the number of pixels that are being read out, it is possible that the severity of the effect can be reduced by using on-chip binning. This test is primarily intended with newer instruments in mind (ACS, WFC3) since their smaller native pixel size (0.05) may make on-chip binning a more appealing option if it is indeed found to substantially mitigate CTE. WFPC2 Calibration and Close-Out 4.2. 297 WFPC2 Astrometric Characterization This program has been executing twice per year until Cycle 10, after which it has been executing once per year. It consists of observing a rich star field (Omega Centauri) with a pattern of large shifts designed to move the same set of stars onto each of the four detectors, as well as small shifts aimed at providing sub-pixel dithering to improve the sampling of the PSF. The principal part of the program has involved observations at F555W, which allows both the determination of a geometric solution as well as long-term monitoring of possible changes. This has been supplemented in some cycles by observations in two other filters, F300W and F814W, which are aimed at allowing the measurement of the color dependence of the solution. Observations are also obtained at a range of position angles, which can be used to constrain additional geometric parameters such as skew. Results from this program have been published in the form of an ISR by Casertano & Wiggs (2001), and by King & Anderson (2003, this volume), as well as Kozhurina-Platais et al. (2003, this volume). 4.3. WFPC2-ACS Photometric Cross-Calibration This proposal is aimed at providing photometric zeropoint cross-calibration between the commonly used WFPC2 photometric filter sets and those that will be used for ACS programs. The proposal includes observations of globular clusters covering two extremes of metallicity: the metal-rich cluster 47 Tucanae and the metal-poor cluster NGC 2419. In addition, the proposal obtains WFPC2 observations of the primary ACS standard star BD+17D4708. This program will produce a valuable tie-in between the WFPC2, ACS and Sloan filter photometric systems. The observations of 47 Tucanae are all at the same position and orientation as the observations in an earlier related proposal (8267), with the following filters: F300W, F336W, F410M, F439W, F450W, F467M, F547M, F569W, F606W, F675W, F702W, F850LP (note that extensive observations already exist for this object in the F555W and F814W filters). Similarly, the observations for NGC 2419 are at the same position and orientation as those in earlier related proposals 5481 and 7628, with these filters: F300W, F336W, F410M, F439W, F450W, F467M, F547M, F569W, F606W, F675W, F702W, F850LP (again, this object also has extensive F555W and F814W observations, therefore they do not need to be repeated here). Finally, the observations of the Sloan primary standard star BD+17D4708 are obtained using the PC and WF3 chips, in all of the following filters: F300W, F336W, F410M, F439W, F450W, F467M, F547M, F555W, F569W, F606W, F675W, F702W, F814W, F850LP. It is expected that this program will provide ∼ 1–2% zeropoint accuracy for baseline observations using most commonly-used filters (e.g., F439W, F555W, F675W, F814W), and will enable a direct photometric tie-in not only to the ACS but also to the ground-based SDSS system. 5. Possible Ideas for WFPC2 Close-Out Calibration Programs in Cycle 12 As was mentioned earlier, Cycle 12 is currently planned to be the final full cycle for WFPC2 operations before it is de-orbited. Therefore, it is imperative that the final “close-out” round of calibration programs address critical issues that may help to improve the quality of the science or otherwise aid in improving our understanding of the behavior of the instrument. Community input to this process is essential , and we actively solicit any ideas that observers in the general community may have. 5.1. Our “Top 10” Current Ideas for Close-Out Programs In this section we summarize some of our current ideas for special close-out calibration programs during Cycle 12. If we receive sufficient community input then we may modify 298 Koekemoer, et al. these or supplement them with additional programs. Our general philosophy is to improve the calibration accuracy of some filter modes that may provide enhanced scientific results, as well as carrying out observations aimed at improving our knowledge of specific aspects of the instrument (e.g, PSF behavior). We may also make use of this opportunity to carry out programs that may have been difficult to do earlier in the life of the instrument (for example, characterizing the nature of all the “permanent” hot pixels that are not easily removed by the regular DECONs), if such programs may be helpful for some of the newer instruments. It is reasonably likely that we will carry out the first three or four programs in this list, depending somewhat upon the reactions that we receive from the community. We will attempt to carry out as many of the other programs further down the list as our orbital allocation will allow, although we may move some of these up in priority if there is sufficient interest from the community in a particular program. Finally, this list is not intended to be complete and we would be happy to consider adding additional programs that might be suggested by the community, if there is sufficient interest. 1. Fully characterizing CTE behavior for extended sources. While the effects of CTE on point sources are now relatively well understood for a wide range of count-rates and background levels, there are as yet no well-developed methods for calculating the effect of CTE on extended targets. This work would primarily consist of two parts, analytical and observational. The analysis effort would involve developing algorithms to perform iterative calculation of CTE to determine the true underlying flux distribution for an arbitrary source in an image. The observational component may consist of additional exposures to our Cycle 12 CTE calibration program to obtain data that may be used in testing the algorithms, although it is possible that such tests may be carried out using data already in the archives. 2. Creating broad-band skyflats using data from external science exposures. While observations of the bright earth are useful in creating flatfields for narrow-band filters, the optical broad-band filters generally saturate too quickly to enable useful data to be obtained. Therefore, on-orbit flats for the broad-band filters have to date been obtained using the internal lamps, but unfortunately these contain their own field-dependent variations that are not present in external exposures. This proposal would aim to analyze large numbers of archival external WFPC2 exposures in order to construct sky flats directly from the background light levels in the exposures. 3. Improving the geometric distortion characterization. Currently the WFPC2 distortion has been explicitly obtained for only three filters, namely F300W, F555W and F814W. Since the distortion is strongly color-dependent, it may be desirable to obtain observations at a wider range of filters, perhaps at even shorter wavelengths, in order to improve the constraints. Further work also needs to be done on determining the degree of skew in the solutions, which requires analysis of observations at a range of different orientation angles. 4. Reducing the errors in photometric zero points between the WFPC2 filters. Currently the photometric zero points between filters are known to levels of ∼ 2%. These may be reduced to less than 1% by examining measurements of larger numbers of stars in selected regions, as well as by improving the color terms and comparison with ground-based photometric systems. 5. Improving the calibration of narrow-band and linear ramp filters. Many of the narrowband filters are calibrated to accuracies of only ∼ 5%, while the linear ramp filters can be off by as much as 10%. These levels of calibration may be improved by a program of observations aimed at bright emission-line photometric standards, such as WFPC2 Calibration and Close-Out 299 planetary nebulae or extragalactic objects (QSOs, AGN) that have been well-studied spectroscopically with other instruments, for example STIS. The flatfields for these filters could also be improved using wealth of on-orbit data currently in the archives. 6. Improved characterization of the efficiency of some filters, for example the z-band, F785LP and 1042M. The red broad-band filters suffer from unique limitations in that the objects of greatest interest for these filters are often extremely red, thus the color terms involved are much larger than for many of the other filters and the potential photometric errors are thus much higher. The calibration of these filters can potentially be significantly improved by programs aimed at observations of samples of red spectrophotometric standards. 7. Improved measurements of filter red leaks, including characterization of their spatial dependence. A number of the broad-band filters (F336W and blueward) are known to have significant red leaks, which are characterized only by their ground-based filter throughput traces. It is possible that these effects may vary spatially across the filters, which can be measured using observations of photometric standards at a range of locations across the chips. Similarly, the time evolution of the red leaks could be better characterized using the database of photometric calibration observations currently in the archive. 8. Measuring possible changes in the central wavelengths of some of the narrow-band filters. Ground-based tests reveal the possibility of changes in the photometric properties of the narrow-band filters due to the large numbers of coatings on these filters. Although they were extensively baked out prior to launch, some observations have suggested the possibility of subsequent changes on-orbit. This program would involve observations designed at measuring such changes if they have occurred. 9. Measuring the extended wings of the point-spread function on large scales across the chips. Some programs involve observations of faint targets in the vicinity of bright objects, for example objects near bright stars, or planetary moons in our own solar system. It is often desirable to model the PSF of the bright sources on large scales, to better constrain the properties of the faint targets of interest. This calibration program would aim at complementing the current suite of PSF library data by extending PSF information to scales of several hundred pixels. Care would need to be taken to properly account for the effects of scattered light and telescope focus variations. 10. Characterizing the photometric effects of intra-pixel variations resulting from focus changes due to telescope breathing. During an orbit the thermal “breathing” of the telescope can amount to a focus variation of several microns. This changes the amount by which a star’s light is distributed among the pixels, and can potentially introduce time-dependent photometric variations if several exposures are obtained during the orbit. This program would likely involve analysis of a large number of suitable exposures from the archive to determine the magnitude of this effect, although new additional observations may be proposed if the current data are not adequate. 5.2. How the Observing Community Can Help If anyone in the community would like to give us input for possible close-out programs to consider, please simply send email to “help@stsci.edu” with the subject of “WFPC2 CloseOut Calibration.” We will gladly examine all the suggestions that we receive, and would be happy to discuss possible programs with interested observers. In general, any proposals aimed at obtaining new observations will be performed by the STScI WFPC2 group as part of our calibration program for Cycle 12. Thus, feedback that we receive on observational aspects of close-out will be included in these programs. 300 Koekemoer, et al. If observers in the community would like to carry out calibration-related analysis on any archival WFPC2 data, then funding for such work can be obtained by submitting a “Calibration Outsourcing Proposal” as part of the general Phase I HST call for proposals. In this case, the WFPC2 group plays a consulting role but the actual analysis is done directly by the proposer, who then deliver the products back to STScI for inclusion in our calibration database (for example, improved zeropoints, or a refined geometric distortion solution, or software that deals with CTE). Acknowledgments. We are pleased to acknowledge all those in the community who have so far given us very valuable feedback, including Abi Saha, Ivan King, Jay Anderson, Andrew Dolphin, Erich Karkoschka, Dave Zurek. We also thank the many people at STScI, especially Stefano Casertano, Sylvia Baggett, Shireen Gonzaga, Ron Gilliland, and Brad Whitmore, who have all contributed to the success of the WFPC2 calibration programs. References Baggett, et al., 1999, Instrument Science Report WFPC2-99-05 (Baltimore: STScI) Baggett, S., Casertano, S., & Biretta, J., 1995, Instrument Science Report WFPC2-95-07 (Baltimore: STScI) Baggett, S., Casertano, S., Biretta, J., Gonzaga, S., & the WFPC2 Group, 1999, Instrument Science Report WFPC2-99-02 (Baltimore: STScI) Baggett, S., Casertano, S., & the WFPC2 group, 1998, Instrument Science Report WFPC298-01 (Baltimore: STScI) Baggett, et al., 2001, Instrument Science Report WFPC2-01-06 (Baltimore: STScI) Baggett, S., Gonzaga, S., Biretta, J., Casertano, S., Heyer, I., Koekemoer, A., McMaster, M., O’Dea, C., Riess, A., Schultz, A., Whitmore, B., & Wiggs, M. S. 2000, Instrument Science Report WFPC2-00-01 (Baltimore: STScI) Baggett, S., Biretta, J., Heyer, I., Koekemoer, A., Mack, J., McMaster, M., & Schultz, A. 2001, Instrument Science Report WFPC2-01-03 (Baltimore: STScI) Casertano, S., & Baggett, S., 1997, Instrument Science Report WFPC2-97-02 (Baltimore: STScI) Casertano, et al., 1996, Instrument Science Report WFPC2-96-08 (Baltimore: STScI) Casertano, S. & the WFPC2 Group, 1997, Instrument Science Report WFPC2-97-06 (Baltimore: STScI) Casertano, S., & Wiggs, M., 2001, Instrument Science Report WFPC2-01-10 (Baltimore: STScI) Dolphin, A. E. 2000, PASP 112, 1397 Dolphin, A. E. 2002, astro-ph/0212117 Gonzaga, et al., 2002, Instrument Science Report WFPC2-02-05 (Baltimore: STScI) King, I. & Anderson, J. 2003, this volume Koekemoer, A. M., Biretta, J., & Mack, J. 2002, Instrument Science Report WFPC2-02-02 (Baltimore: STScI) Kozhurina-Platais, V., Casertano, S. & Koekemoer, A. M. 2003, this volume McMaster, M. & Whitmore, B., 2003, this volume Riess, A., 2000, Instrument Science Report WFPC2-00-04 (Baltimore: STScI) Whitmore, B., Heyer, I., & Casertano, S. 1999, PASP 111, 1559 Whitmore, B. & Heyer, I. 2002, Instrument Science Report WFPC2-02-03 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. WFPC2 CTE Characterization Andrew E. Dolphin National Optical Astronomy Observatories, Tucson, AZ 85726; dolphin@noao.edu Abstract. The limiting factor of the accuracy of WFPC2 photometry is the CTE loss, which has increased to the level of 50% or more for faint stars at the top of the chips. I describe recent work on characterizing this effect, and provide improved equations for CTE correction. I also examine issues affecting background measurement, which if not done correctly can introduce artificial nonlinearities into photometry. 1. Introduction Several obstacles inhibit the obtaining of accurate photometry from WFPC2 images. The most severe of these is charge loss during readout, commonly known as CTE loss. While no CCD is likely to be perfect, the effect is pronounced on WFPC2, where initial measurements showed that a star at the top of the chip (y = 800) would lose approximately 10% of its charge while being read out. This loss was reduced by cooling the camera from −76◦ C to −88◦ C, and Holtzman et al. (1995) found that the CTE loss could be corrected to acceptable levels with a correction of 0.04 y/800 magnitudes to photometry. Unfortunately, this has increased over time, and faint stars at the top of the chip now can lose well over half their light to CTE loss. Improved characterizations of the charge loss were produced by Stetson (1998), Whitmore, Heyer, & Casertano (1999), and Saha, Labhardt, & Prosser (2000) by analysis of larger data sets using DAOPHOT, IRAF apphot, and DoPHOT, respectively. While there were several issues of agreement between these studies, there were also significant discrepancies. For example, Stetson (1998) found no significant time dependence, while Whitmore et al. (1999) did. Likewise, Saha et al. (2000) found no X-CTE loss and no nonlinearity, while both were observed in the other studies. The fact that a different photometry package was used in each study raised the possibility that the observed CTE loss was partly a function of the package used. Another possible source of photometric error was reported from measurements of the same fields in long and short exposures, in which objects appeared fainter in the short exposure than in the long exposure. This was independent of the position on the chip, and the phenomenon has become known as the “long vs. short anomaly.” Casertano & Mutchler (1998) characterized this effect using short and long observations of NGC 2419, and found it to be a function of counts rather than exposure time. The effect they found was a very large one; rather than the 5% effect reported previously, their correction is 0.18 magnitudes at 280 electrons (50 ADU at gain of 7). However, Stetson (1998) solved for a position-independent effect as part of his CTE study and found none. Given that his data set included the NGC 2419 observations, this only added to the questions about how well these effects were really understood. Dolphin (2000a; hereafter D00) presented a study of the WFPC2 CTE based on reductions of 843 WFPC2 images of ω Cen and NGC 2419 using his HSTphot photometry package (Dolphin 2000b). In addition to providing yet another CTE solution based on yet another photometry package, this work shed light on the discrepancies noted above. The lack of time dependence seen by Stetson was observed to be primarily the result of an in301 302 Dolphin sufficient time baseline and the fact that all of his high-background data were obtained at the end of the time baseline. The lack of a nonlinearity in the study of Saha et al. was found to result from their background measurements, which contained significant amounts of starlight. This meant that their CTE correction (explicitly a function of background only) was implicitly a function of brightness as well. Finally, it was demonstrated that the long-short anomaly is primarily a result of poor background measurements, as my reductions of the NGC 2419 data showed no significant discrepancies after the CTE loss was corrected. In this paper, I describe ongoing efforts to improve upon D00 and present the latest results. 2. Observations The basis of my CTE study (both D00 and the present work) has been the comparison of instrumental magnitudes of WFPC2 images with ground-based photometry. This allows the use of the ground-based data as the standard stars, and any discrepancy is understood as resulting from a combination of CTE loss and calibration. This is not the only way to do such a work; Whitmore et al. (1999) based their study on relative photometry of stars as they were moved around the chips. Both techniques have their drawbacks; the main drawback of the route I chose is that errors in the functional form can be harder to find. Most notably, a position-independent nonlinearity such as the long-short anomaly could be fit out as CTE loss. I address this concern in the next section. In D00, I used images of the ω Cen standard field and of NGC 2419. The mixture of two fields was necessary because, at the time, no images of the ω Cen standard field had high background levels; however this introduced the possibility of errors in the CTE correction caused by inconsistent calibrations of the two ground-based data sets. This compromise is no longer necessary, as high-background images of ω Cen have been taken, and thus in this work I use only those data. The ground-based photometry is that of Walker (1994), which I have transformed to the expected WFPC2 flight system magnitudes by using the Holtzman et al. (1995) transformations. A total of 1216 images were photometered in this project, covering all observations of the ω Cen field in B, V, R, I filters through August 2002. The majority of the images (800) were taken in the F555W and F814W filters. All images were photometered with HSTphot. Because of the huge number of stars observed, I eliminated all data I considered suspect because the aperture corrections were unusual or were based on too few stars. After matching the stars on the WFPC2 images to the list of ground-based standards, many of the standards were eliminated because they were resolved into multiple stars or small extended objects by WFPC2. A few other standards were deemed to be poorly photometered because no CTE correction was capable of producing photometry that agreed at the 10% level; these were also eliminated from the sample. The end result was a list of 36983 stars on the WFPC2 images that had been matched to any of 202 of Walker’s standard stars. From this list, the magnitude differences between the WFPC2 magnitudes and ground-based magnitudes were fit as functions of CTE loss and zero point differences. Since this contribution describes CTE results, the zero points will not be discussed further. They are, however, available from the author’s web site. 3. Characterization It is important to bear in mind that the correction formulae below are based on the functional forms that best fit the data, and are not based on a physical understanding of the charge transfer process. It is likely that a “perfect” correction would be much more complex; what is presented below is the best fit using a minimum number of parameters. WFPC2 CTE Characterization 303 Figure 1. Ratio of counts in short (14 second) image to counts in long (100 second) image, separated by star brightness in the short image. Small dots are measurements of individual stars; the square and diagonal line are the fit to the trend. The triangles show the data after CTE correction using old correction formulae, while the horizontal line shows the expected ratio of 0.14. Note that the bottom panel shows a significant overcorrection, indicated by the triangles falling well above the horizontal line. A feature of the CTE correction procedure is that it includes the effect of CTE loss on the CTE loss. That is, as a star reads out and becomes fainter, CTE loss (in magnitudes per pixel) increases. This leads to a more complex functional form, but gives a correction that is accurate down to about 60 electrons (< 10 ADU at gain 7) instead of only to about 100 electrons. At much fainter levels (20–30 electrons), it is clear that the CTE loss is less than what is predicted, since otherwise noise peaks in the background level itself (which can be thought of as faint stars) would be truncated. The improvement can be seen in Figures 1 and 2, which show count ratios between observations in short and long images as a function of y position and counts. It is clear that the corrections above 100 electrons work well either way, but that the newer correction (Figure 2) is much better for stars between 60 and 100 electrons. It should also be noted that the ground-based standard magnitudes were not used in creating Figures 1 and 2; rather they are based entirely on instrumental WFPC2 magnitudes. It is clear that the corrections performed well, dispelling any concern that the use of absolute photometry comparisons rather than relative photometry comparisons impaired the solution. Most notably, had a long-short anomaly been present, the y intercept of the uncorrected photometry (the diagonal line in each panel) would have been lower than 0.14, while the CTE correction would have overcorrected stars with high y values and undercorrected those with low y values since the long-short anomaly would have been fit by CTE loss. We can clearly see from the figure that this is not the case. If long-short anomaly were at the level seen by Casertano & Mutchler (1998), the y intercept would have been at 0.11 in the 100–400 e− panel and at 0.13 in the 400–1000 e− panel. (A comparison with the bottom panel is unwarranted, as their correction was only valid to 200 electrons.) Thus it is clear that any long-short error is at least an order of magnitude smaller than what they reported. 304 Dolphin Figure 2. Same as Figure 1, but using the new CTE corrections. Note that the bright stars are still fit well, while the overcorrection for faint stars is eliminated. 4. CTE Correction Recipe The procedure for correcting for CTE loss is outlined below. The XCTE correction depends only on x and the background (in electrons). Note that the background value used should be the true background at the position of the star, rather than the background measured nearby a star (which contains some starlight). In images with variable background, this requires a knowledge of the amount of starlight contained in the background measurement. bg ≡ 1 + background2 − 10 (1) XCTE = 0.0194e−0.00085bgx/800 (2) The YCTE loss depends on y, background, brightness (also in electrons), and the date of the observation. lbg ≡ 0.5 ln 1 + background2 − 1 (3) lct ≡ ln(brightness) + 0.921XCTE − 7 (4) yr ≡ (MJD − 50193)/365.25 c1 ≡ 0.0143 0.729e−0.397lbg + 0.271e−0.0144bg 1 + 0.267 yr − 0.0004 yr2 y/800 (5) (6) c2 ≡ 2.99e−0.479lct (7) YCTE = ln[(1 + c2 )e − c2 ]/0.441 (8) c1 Both XCTE and YCTE corrections are in magnitudes, and should be subtracted from instrumental magnitudes to make the correction. Figures 3, 4, 5, and 6 show the magnitude differences between the WFPC2 magnitudes and the ground-based standard magnitudes before and after correction. In all figures, the top panel shows the uncorrected WFPC2 minus ground-based magnitude and the bottom panel shows the corrected difference. WFPC2 CTE Characterization Figure 3. WFPC2 magnitude errors (observed minus ground-based standard magnitudes) vs. y, before (top) and after (bottom) corrections were applied. Note that stars with large y values have fainter raw magnitudes, but no discernible trend remains in the CTE-corrected magnitudes. Figure 4. Like Figure 3, plotted vs. x. Note that stars with large x values have slightly fainter raw magnitudes, but no discernible trend remains in the CTEcorrected magnitudes. 305 306 Dolphin Figure 5. Like Figure 3, plotted vs. background. Note that stars on low background have fainter raw magnitudes, but no discernible trend remains in the CTEcorrected magnitudes. Figure 6. Like Figure 3, plotted vs. brightness. Note that faint stars have fainter raw magnitudes, but no discernible trend remains in the CTE-corrected magnitudes. WFPC2 CTE Characterization Figure 7. 5. 307 Histogram of PC data values from a short (14 second) image. Background Measurement Although this work focuses on CTE corrections, another critical issue in obtaining accurate photometry is background measurement. If the background is mismeasured, one will introduce a nonlinearity into the photometry. In fact, it is likely that the Casertano & Mutchler (1998) study of the long vs. short anomaly was influenced by background determination. Two pieces of evidence point to this. First, their residuals are better fit by such a function than by their reported correction formula. Second, their discrepancies were larger when using larger photometry apertures. In addition, Hill et al. (1998) noted that the short vs. long error they measured could be explained by a 2 e− per pixel loss only in pixels containing stars, which is the same as a 2 e− per pixel overestimation of the sky. The reason special care must be taken in calculating background levels is the very low background levels of WFPC2 observations. The commonly-used IRAF packages were designed for reducing ground-based data, for which the histogram of background pixel levels can be approximated as a Gaussian or other smooth function. However, when the noise in the background is less than 1 ADU, the histogram is dominated by digitization. A sample histogram of sky values from a 14 second exposure is shown in Figure 7. Naturally any sky-measuring algorithm that assumes a smooth distribution is prone to failure when handling these data. Figure 8 shows measurements made by various IRAF sky algorithms on this image, with most of the default parameters left in place. This analysis is similar to the examination done by Ferguson (1996) on simulated data. In all panels, the x values of the sky are taken from HSTphot measurements, which use a sigma-clipped mean algorithm that has been verified to work in cases like these. From a comparison of the plots, it is clear that not all of the algorithms function as intended when facing digitization-dominated sky histograms. The Gaussian and median routines appear to be affected by the histogram peak at ∼ 0.6 ADU, the cross-correlation algorithm is extremely unstable, and the optimal filtering algorithm is biased. The “mode” calculation is not a true mode, but rather a calculation including the median routine and is thus not suitable. Additional tests have been made involving simulated images with known background levels, and these routines handle the simulated data no better than the real data. In more detailed tests, it is observed that the centroid algorithm is also prone to small biases, while a straight mean will be overly affected by deviant pixels (uncorrected bad pixels or faint stars). The errors in the centroid algorithm affect measurements at only the 0.03 ADU level, however, which is acceptable for most purposes. Likewise, the stability of the mean calculation can be increased by use of sigma clipping. Thus the recommendation is that either routine can be used successfully, but that a sigma-clipped mean is preferable. 308 Dolphin Figure 8. 6. Sky determinations from various IRAF algorithms. Ongoing Work While the current CTE corrections work very well down to extremely faint count levels, there are two key problems yet to be addressed in a comprehensive manner. First is the issue of extremely faint stars. An examination of the CTE correction equations shows that the expected CTE loss becomes very large for faint stars. Specifically, the noise peaks in the background itself should be destroyed by CTE loss, as those peaks should be treated as 1 or 2 ADU stars. The histogram in Figure 7 indicates that CTE does affect the background but not at the level predicted by the CTE correction equations. The dilemma is that it is prohibitively difficult to obtain accurate photometry of stars of brightness 4 ADU (28 electrons at gain of 7). However, recent calibration data have been obtained that should allow this issue to be addressed with repeated short exposures of NGC 2419 that can be coadded to improve the photometry. A second problem affecting photometry is that the star’s profile is not dimmed uniformly. In a fractional sense, the highest charge loss comes from the bottom edge and sides of the star, while the top edge can actually have charge added. Furthermore, the ratio of dimming of the wings to the dimming of the peak will be a function of the star brightness. An example of this is shown in Figure 9, which shows the difference between a short and long image, scaled so that they should cancel out. The trail above the star in the image is the light that was lost by the star and released from the trap several readout steps later. The result of this is that PSF-fitting photometry will have some trouble dealing with faint stars, which will have different PSFs from the bright stars. Furthermore, the possibility exists for small systematic differences between PSF-fitting and aperture photometry. While both errors are dwarfed by the random error in measuring faint stars, there are some applications for which they are significant. More significantly, the effects of CTE loss on the profiles of extended objects can be quite large. Riess (2000) created a simple model for trapping and recreate the CTE effects on the profiles of extended sources. The challenge will WFPC2 CTE Characterization 309 Figure 9. Smoothed difference image (short − scaled long image), showing charge loss (dark) at star’s position and trail (bright) above the star. The brightness of the trail is ∼ 0.1 counts. be to improve such a model so that it can quantitatively reproduce the CTE loss measured in stellar photometry. Given the complexity of the correction equations, it is clear that this is not a trivial task. However, once this is achieved, one can invert the charge loss model to obtain the true image prior to readout, effectively correcting the image for CTE loss rather than the photometry. 7. Summary I have developed and described a CTE correction procedure to supersede that of D00. There are several significant improvements over the previous corrections. First, a single uniform set of ground-based photometry is used to provide the comparisons. Second, HSTphot has been improved several times over the intervening time. Third, more stringent cuts were applied to the data to eliminate bad points. Finally, an improved functional form of the CTE correction accounts for the changing CTE loss as a star becomes fainter during readout. I have also examined a commonly-overlooked aspect of stellar photometry, background measurement. In short exposure images, the background value is sufficiently low that the digitization effects dominate the histogram. If not handled correctly, this can result in significant artificial nonlinearities added to the data. After exploring the options offered by IRAF, the recommendation is that one use the “mean” algorithm with sigma clipping. Finally, I conclude by describing ongoing efforts to improve the CTE corrections for faint sources and to obtain an image-based CTE correction. My WFPC2 calibration web site (http://www.noao.edu/staff/dolphin/wfpc2 calib/) will be kept updated with improvements to the CTE corrections and photometric zero points as they become available. 310 Dolphin References Casertano, S. & Mutchler, M. 1998, Instrument Science Report WFPC2 98-02 (Baltimore: STScI) Dolphin, A. E. 2000a, PASP, 112, 1397 Dolphin, A. E. 2000b, PASP, 112, 1383 Ferguson, H. C. 1996, Instrument Science Report WFPC2 96-03 (Baltimore: STScI) Hill, R. J., et al. 1998, ApJ, 496, 648 Holtzman, J. A., et al. 1995, PASP, 107, 156 Riess, A. 2000, Instrument Science Report WFPC2 00-04 (Baltimore: STScI) Saha, A., Labhardt, L., & Prosser, C. 2000, PASP, 112, 163 Stetson, P. B. 1998, PASP, 110, 1448 Walker, A. R. 1994, PASP, 106, 828 Whitmore, B., Heyer, I., & Casertano, S. 1999, PASP, 111, 1559 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. An Improved Distortion Solution for WFPC2 Ivan R. King Astronomy Department, Box 351580, University of Washington, Seattle, WA 98195-1580 Jay Anderson1 Astronomy Department, University of California, Berkeley, CA 94720-3411 Abstract. This is a brief account of work that is published in detail elsewhere. We have derived a greatly improved set of distortion corrections for the individual chips of WFPC2. We also track the relative positions of the chips with time. We end with a description of interactions between distortion and scale that we do not understand. 1. Introduction Most of this discussion will describe our recent redetermination of the geometric distortion corrections needed for WFPC2 images. We begin, however, with the motivation for this study. Astrometry has two parts. One is the measurement of good positions that are free of systematic measuring errors; the other is the combination of positions measured in different images. The first, the measurement of positions, we discussed two years ago (Anderson & King 2000). The essence of the methods described there is to use as many stars as possible to derive an extremely accurate PSF. We iterate between improving the individual positions from which the PSF is created, so as to fit them together correctly, and improving the PSF, so as to get a better set of positions next time round. The demon to be exorcised is pixel-phase error, i.e., a systematic position error that depends on how each star is centered with respect to pixel boundaries. That is the basic purpose that our accurate PSF-building accomplishes. The other part, the combination of positions measured on different images, usually in different dither positions and sometimes in different orientations, is much more complicated. It always requires a transformation from the coordinate system of one image to that of another image, and here is where distortion gets in the way. The problem is that in order to derive the transformation from one image frame to another, one has to use the positions of a number of stars in each image, to derive a linear transformation between them. But if the distortion has not been totally removed, the true relationship will not be linear, because when the same star falls in different places in two images, these positions suffer different distortions. The non-linearities of course grow with separation in the image, so that what we are forced to do is to derive a separate transformation for each individual star, from the positions of other stars in its immediate neighborhood. But the larger the distortions that remain, the smaller is the set of neighbors that we can use, and the accuracy of the transformation suffers. Ideally, we would like to remove all the distortion, so as to be able to use a single global transformation over 1 Present address, Department of Physics & Astronomy, MS 108, Rice University, 6100 Main Street, Houston, TX 77005 311 312 King & Anderson the whole image. Unfortunately that still is not possible, but minimizing the remaining distortion allows us to use more surrounding reference stars and therefore make better transformations. That is our own interest in improving distortion corrections. But we should also note that it is only in the rich globular-cluster fields of our projects that one can use the localtransformation work-around; in sparse fields, astrometry is completely at the mercy of the distortion correction. Thus the work that we describe here not only serves our own needs but also contributes to the public welfare. The summary that we present here will be quite brief, however, because by the time this account appears, our work will have been published in detail (Anderson & King 2003, AK03). 2. The Data Set For the basic distortion solution we had an excellent data set available. In the so-called inner calibration field of ω Centauri there are 80 exposures with F555W, at all sorts of orientations. The variety of orientations turns out to be crucial, because when overlapping images are all at the same orientation there is no way of solving for the part of the distortion that consists of skewing. 3. The True Nature of Distortion One tends to think of distortion as a problem that consists only of non-linearities, but that is not so. As we will see, a considerable part of the improvement that we make in the distortion correction for WFPC2 is the discovery of a hitherto unrecognized skewing in the PC chip. This recognition of skewing as a distortion that is mathematically linear leads in turn to a consideration of what kinds of linear transformations should be used in various situations. The distinction that we make is that on the one hand we combine positions by using full 6-parameter linear transformations, in order to get the coordinate systems of the two images to match as well as possible, under conditions where some distortion may remain. If, on the other hand, we have two coordinate systems each of whose star positions are completely distortion-free, then these systems are related by a 4-parameter transformation. The parameters represent a translation, a rotation, and a scale change. In AK03 we refer to this as a conformal transformation, because within the whole class of linear transformations, it is the sub-class that can be characterized as angle-preserving. In that paper, in fact, we make this an operational definition of undistorted images—that positions of stars in any pair of undistorted images can be related by a conformal transformation—and we apply this definition quite literally in our search for a set of corrections that will render every image undistorted. 4. The Method of Solution For the actual solution, the conventional approach would be to take a set of overlapping images and do a least-squares solution for the positions of all the images relative to each other, and at the same time for the distortion coefficients that get the images best to conform with each other. But we disliked the black-box aspect of this, so we chose instead to start by applying the best distortion corrections that we had, and then examining all the position residuals of individual star images from the mean position of that star, as a function of location in the chip, in order to see empirically what further correction was needed. For all the thousands of stars, in all the overlaps between 80 sets of 4 chips each, we had more An Improved Distortion Solution for WFPC2 313 than a million residuals, and there were enough of them in each small region of the chip that we could see directly what the mean distortion was there. After a few iterations, we had the best distortion correction that we could get. Another aspect of our distortion solution is important to point out: there is a separate solution for each chip. Although all four have to be solved for simultaneously, because so many of the overlaps are from one chip to another, the distortion solution for each chip is independent of the others. To put this in another way, we did not look for a meta-chip solution, in which all four chips are forced into the same coordinate system. The chips have moved with respect to each other, over the years, so that there is no way in which we could have accommodated our multi-year data set in a single fixed system. Thus we treated the chips separately, and looked at their relative positions later, as a separate problem. 5. The Results Like previous corrections, ours is a third-order polynomial. We believe that it is now good to 0.01–0.02 pixel within each chip. We should note that our solution excluded, and should not be applied to, pixels in the first 100 rows and columns of each chip. We found that these are badly behaved, presumably because the OTA spherical aberration spills over the edges of the reflecting pyramid. At first glance the errors look smaller for the WFs than for the PC, but in both cases they actually run around 1 mas. The big surprise was that there is a quite appreciable skewing in the PC, amounting to about half a pixel over the length of its edge. Previous solutions, which did not have overlaps that were rotated, had been unable to detect this; and the fact that the otherwise excellent solution by Casertano & Wiggs (2001) was a meta-chip solution caused the skew in the PC somewhat to infect the corrections in the other chips. For the relative positions of the chips we used the outer calibration field in ω Centauri, which has more than 1200 observations spread from 1994 to 2002. We used successive overlaps in a rich set of observations at a single epoch to find the positions of all the stars in a meta-chip coordinate system, and then simply matched each chip in each exposure to this system, to find where it was in relation to a fiducial point in WF3. The result is a graph of positions against time for each of the other chips. These are good only to about a tenth of a pixel, so relative positions within a chip can be measured with much better accuracy than positions from one chip to another. All of this is described in detail in our paper (AK03). For the convenience of WFPC2 users there is a link to that paper in the WFPC2 web pages. On a more practical level, the web pages also have a copy of a Fortran subroutine which, when given the name of a chip and column and row values (x, y), returns the distortion-corrected position. 6. Desiderata Unfortunately our distortion solution is not as good as we would wish. An accuracy of 0.01 pixel is better than ever before, but in many of our measurements we need accuracies of 0.001 pixel or better, so we are still unable to make transformations that extend over more than a small fraction of a chip. The problem is that we have been unable to find distortion changes that are independent of, or even that allow for, the scale changes that are constantly taking place from one HST image to the next. The scale changes have three contributors. Two of them come from changes in the OTA focal length. Occasional adjustments are made in the position of the secondary, but our main problem comes from orbital breathing, which produces a range of scale change of about 10−4 around each orbit, in the WFs, and about half that much in the PC. (The difference is a simple consequence of the Gaussian optics of the transfer systems.) 314 King & Anderson The third contributor to scale change is velocity aberration. An appendix to our paper (AK03) shows that velocity aberration produces a scale change that is v/c times the cosine of the angle of the target from the plane of motion. Since v/c is 10−4 for the motion of the Earth around the Sun, and the HST orbital velocity is also about 1/4 as large as that, it is clear that velocity aberration can also be an important contributor to scale changes. For the study of scale changes due to breathing we had available another valuable data set, what we like to refer to as the “Gilliland stare,” 8 days of nearly continuous CVZ imaging of 47 Tucanae (GO-8267). There are interesting correlations of scale with orbital phase and with time of day. We simply do not understand them, and have not studied them further. By far the most intriguing correlation we found was between scale and distortion. What we did was to look at the positional residuals in each image, and fit them with Legendre polynomials (just for convenience, because they are quicker to fit than powers). We find that each of the coefficients correlates closely with scale, so that there is a clean, systematic change in distortion as the scale changes. (By the way, this is not just a question of whether we apply the distortion correction before or after the scale change; we tried it both ways, and it makes hardly any difference.) The frustrating thing about this scale-dependent distortion is that whereas we could in principle correct for this within the Gilliland data set where we know all the relative scales, for a randomly chosen image of another field we do not know where we are in the range of scales, so that we don’t know how to correct for this last bit of distortion. This is only a small effect—about a hundredth of a pixel from center to edge—but we wish we could fix it. Again, a hundredth of a pixel does not sound like much, but in some of our current work it is just not good enough accuracy. We do not propose to study these scale effects any further, but hope that some one else will. We will happily make available the scale factors of the more than 1200 Gilliland images. Acknowledgments. This work was supported by STScI grant AR-8738. References Anderson, J. & King, I. R. 2000, PASP, 112, 1360 Anderson, J. & King, I. R. 2003, PASP, 115, in press (AK03) Casertano, S. & Wiggs, M. S. 2001, Instrument Science Report WFPC2 2001-10 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. WFPC2 Flatfields with Reduced Noise and an Anomaly of Filter FQCH4N-D E. Karkoschka Lunar and Planetary Lab, University of Arizona, Tucson, AZ 85721 A. Koekemoer Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The transmission of the filter FQCH4N-D varies by 20 percent across the filter while the mean wavelength shifts by 3 nm. For objects with a flat spectrum across the main bandpass (889–897 nm), the flatfielding removes the spatial variations except for the outer corner, for which we give the necessary photometric correction. On the other hand, for objects with steep spectral features within the bandpass, such as Jupiter and Saturn, the spectral shift causes photometric variations of some 30 percent across the filter which are not taken out by flatfielding. We give the magnitude and direction of the shift to account for these variations. Flatfields with reduced noise are described in the Instrument Science Report WFPC2 200107 http://www.stsci.edu/instruments/wfpc2/Wfpc2 isr/wfpc2 isr0107.html and not repeated here, except for the abstract: We examine the noise contributed by the WFPC2 flatfields during normal calibration, and provide new low-noise flats for 41 filters. Highly exposed science images (> 20, 000 electrons per pixel) will show significant noise reduction if these new flats are used; this is especially true for images on the PC1 chip. For some ultraviolet filters a significant improvement occurs even for much lower exposure levels. Potential photometric issues are also discussed. The new flats are available in the HST data archive as calibrated science data (i.e., data which have already calibrated with the normal flatfields) to obtain the noise reduction. These corrections may be incorporated in the normal pipeline flatfields at some future date for selected filters. 1. Introduction The filter FQCH4N of WFPC2 is a quad filter which selects narrow bandwidths in four methane absorption bands. This gives unique vertical probing of planetary atmospheres and reduces stray light from planets when imaging nearby rings or satellites. Therefore, this filter has been the filter most often used for planetary imaging. Eighty percent of the observations with the filter FQCH4N use the quad with the deepest methane absorption, the filter FQCH4N-D, which is the focus of this study. In 1994, we found that images of Jupiter in the filter FQCH4N-D could not be modeled, unlike many other observations. The images showed an unexplained discrepancy of about 30 percent intensity between the east and west limb of Jupiter. On the other hand, Galilean satellites had consistent counts across the field of view. We concluded that the filter has a spatial change of the spectral response which affects the photometry of objects depending on their spectrum. A warning of a possible spatial variation was posted on the WFPC2 web site at http://www.stsci.edu/instruments/wfpc2/Wfpc2 phot/wfpc2 ss phot.html. Another indication that this filter is unusual is documented in its flatfield displaying an anomalous brightness variation of 30 percent with respect to other filters at similar 315 316 Karkoschka & Koekemoer Figure 1. Transmission curves for the four methane quad filters with the wavelengths scaled to the same mean. For FQCH4N-D, the original and adjusted transmission curves are shown. wavelengths. Flatfield variations between different filters of similar wavelengths are typically on the order of one or a few percent; a variation of 30 percent is only present with one other WFPC2 filter, which is FQCH4N-C. While this filter could have similar problems as FQCH4N-D, an investigations of its properties would benefit very few programs because of the low usage of FQCH4N-C. In September, 2001, one orbit was devoted to characterize the spatial variation of filter FQCH4N-D. Nine images of Saturn were taken with identical exposure times but with different locations covering the whole unvignetted field of view. The rings of Saturn yielded consistent photometry across most of the field of view as expected since they have similar spectra as the Galilean satellites. Counts on Saturn’s globe showed a photometric discrepancy of about 25 percent across the field of view as expected since Saturn’s globe has a similar spectrum as Jupiter. We use these observations to characterize the filter FQCH4N-D. Before we describe the observations further in Section 4, we look at the basic calibration data of the filter, its spectral transmission measurements (Section 2) and its flatfield (Section 3). Section 5 describes the usable field of view. Section 6 gives a recommended adjustment to the flatfield. Section 7 explains the observed photometric discrepancy. The last section concludes with summarizing suggestions for users of the filter FQCH4N-D. 2. Spectral Transmission Curve The measured spectral response curve of the filter FQCH4N-D is available at the WFPC2 web site: http://www.stsci.edu/instruments/wfpc2/Wfpc2 thru/fqch4nd.txt. It is plotted in Figure 1 along with the transmission curves of the other three methane quad filters, which have been scaled in wavelength to allow the comparison. For transmission values above 1 percent, all four curves have a similar shape. However, for the scan between 880 and 900 nm, the low transmission numbers of the filter FQCH4N-D seem to level off near 0.65 percent without decreasing any further. This is unlike the other three filters which plunge steeply below 0.01 percent transmission. We assume that the leveling off at 0.0065 WFPC2 Filter FQCH4N-D 317 transmission for the FQCH4N-D filter is not real but an artifact of the measurement, such as a constant contribution from background light. We adjust the transmission values of the filter FQCH4N-D by subtracting 0.0065 of each value whenever the original value is higher and setting it to zero otherwise. This is the adopted transmission, shown by the open circles in Figure 1. It follows the shape of the other three curves quite well. The original transmission curve has a higher integrated throughput than the adjusted one. For objects with a flat spectrum, the increase is 8 percent. For objects with methane absorption, the increase is estimated at 38, 34, 14, 21, and 17 percent for Jupiter, Saturn, Titan, Uranus, and Neptune, respectively, based on published spectra (Karkoschka 1998). Thus, this adjustment yields a very significant photometric correction. 3. The FQCH4N-D Flatfield Figure 2 (top left) displays the flatfield of FQCH4N on WF3 divided by the flatfield of F850LP which has a similar mean wavelength as FQCH4N-D. Note that the flatfield is displayed here in brightness units while STScI flatfields are usually given in inverse brightness so that they can be multiplied into the raw image. Obvious are the curved edges near the center and the bottom right where light through the FQCH4N-D quad is vignetted and light through the FQCH4N-C and FQCH4N-A filters, respectively, starts to contribute. Inside the unvignetted field of view, the brightness increases from the bottom to the upper right. A least-square fit to the data gives a gradient direction of 37 degrees counterclockwise from horizontal. In the perpendicular direction, the brightness scatters by only one percent or less (Figure 3). Thus, the observed spatial variation is a function of only one variable, plotted on the x-axis of Figure 3. We chose the center of the WFPC2 pyramid as the origin of this axis. Figure 3 also displays another ratio of two flatfields of similar mean wavelengths, F785LP and F850LP. In this case, the ratio remains close to unity throughout the field of view. Other ratios behave similarly. The strange slope of FQCH4N-D cannot be due to variations in spectral sensitivity of pixels. It is due to a spatial variation in the transmission properties of the filter. 4. Image Processing The nine images of Saturn taken for this program were processed with the standard WFPC2 calibration pipeline. Then, a total of 777 pixels were identified which had elevated counts, mostly due to cosmic ray strikes. The flatfielded counts of those pixels were replaced by counts interpolated from pixels outside the contaminated areas. The filter FQCH4N-D was used in its rotation FQCH4N, where it extends mostly across the WF3 chip. Its small section on the WF2 chip did not produce data suitable for photometry. Figure 2 (top right) shows the nine calibrated images laid on top of each other, with the maximum data number at each pixel displayed. The next image processing step was image navigation, which was performed for each of the nine images to an accuracy of about 0.05 pixels, taking into account the distortion for the WF3 chip. After the relative offsets of Saturn in the nine images were determined, the nine coordinate pairs for a location on Saturn can be calculated. This calculation was performed for some 100,000 locations. The interpolation of data numbers to fractional pixels used the 64 pixels of the 8 × 8-pixel box centered on the fractional pixel with cubic interpolation in both axes. A mean image of Saturn was created by averaging the nine images accounting for the appropriate offsets. At each location, the weighting for the averaging was largest for pixels in the center of the field of view and zero outside the unvignetted field of view (described 318 Karkoschka & Koekemoer Figure 2. Top left: Ratio of the flatfield brightness of FQCH4N-D/F850LP. Top right: Nine overlaid flatfielded images of Saturn in FQCH4N-D on WF3. Bottom: The same nine images after division by the mean image of Saturn. To avoid cluttering, images are shown either on the left or on the right side. The white lines mark the adopted edge of the unvignetted field of view. WFPC2 Filter FQCH4N-D 319 Figure 3. Flatfield brightness ratios on WF3 for FQCH4N-D (left) and F785LP (right) relative to F850LP. The spatial variable is the x-coordinate in a coordinate system rotated 37 degrees counterclockwise from the WF3 system with the pyramid center as the origin (column 30, row 47 of WF3). in Section 5). The weighting function was the product of the distances to the edges of the unvignetted field of view. Each of the nine images was divided by the shifted mean image. In a perfect world, all divided images should have data numbers of unity. Deviations from unity show various imperfections (Figure 2, bottom). First, we note that vignetted regions do not divide out well at all. We need to restrict ourselves to the unvignetted part of the field of view, described in Section 5. Second, the rings seem to perform close to perfect, except for the upper right-hand corner where data numbers drop, which is investigated in Section 6. Third, Saturn’s globe is brightest in the bottom images and faintest in the upper right-hand images, which is investigated in Section 7. Fourth, the division is not perfect at sharp edges of the planet. This is probably due to imperfections in the knowledge of the distortion. Therefore, we discard data within three pixels of those edges, which leaves more than 90 percent of the data. Finally, we note a bright latitudinal feature just south of Saturn’s equator. Since it rotates during the time period of the nine exposures, it does not divide out. Therefore, we exclude this latitude zone from our analysis. No other longitudinal features are obvious on Saturn. However, a close investigation of divided images yields more features of low contrast, typically 1–2 percent. Thus, results on Saturn’s globe will be limited to that accuracy. 5. Vignetting For the determination of the edges of the usable field of view, we use Saturn’s rings and exclude locations within three pixels of Saturn’s globe. We distinguish five edges (cf. Figure 2, top left): the rounded edge near the center towards the quad FQCH4N-C, the horizontal edge at the bottom towards WF2, the rounded edge at the bottom right towards the quad FQCH4N-A, the right edge of WF3, and its top edge. 320 Karkoschka & Koekemoer Figure 4. Deviation of divided ring counts from unity for FQCH4N on WF3, displayed as function of distance from the adopted edges of the unvignetted field of view (left), and displayed as function of radius from the pyramid center for the original and adjusted flatfield (right). The arrow corresponds to the dashed line in Figure 5. We define the usable field of view as the area where the divided ring counts are within about one percent of unity, which means that photometry is consistent to one percent across this area. Figure 4 (left) displays the mean deviation of counts from unity in the divided ring images as a function of distance from the adopted locations of the edges. According to Figure 4, photometric errors rise quickly above several percent outside the adopted edges, where an image might be still useful for feature recognition, but not for photometry. Furthermore, a spot of 10 pixel radius around pixel (543,767) does not flatfield out. It is visible on the left side of Figure 2, near the very top. For the rotation FQCH4P15 of the filter FQCH4N-D, we estimated the shift and used the rotation of 15 degrees to derive its unvignetted field on PC1. The adopted unvignetted fields are displayed in Figure 5. Its definition for WF3 is: |y − 677| > 397 − x and (x − 135)2 + (y − 415)2 > 370 and |y − 153| > 397 − x and y > 72 and |x − 523| > 162 − y and (x − 785)2 + (y + 100)2 > 370 and x < 800 (or x < 790 for higher precision) and y < 800, and (x − 543)2 + (y − 767)2 > 10. The definition for PC1 is: y > 100 and y > 1.73x − 623 and y < 665 − 0.58x and y < 1.73x − 258 (x is the column number and y is the row number). 6. Flatfield Imperfection Figure 4 (right) displays divided ring counts near the upper right-hand corner of WF3. Starting near a radius of r = 88.5 arc-seconds from the center of the pyramid (x = 30 and y = 47), the ring counts deviate by up to nine percent from unity. However, by multiplying ring counts by 1 + 2 × 10−6 (r − 84)2 , all counts are brought back to unity within the typical scatter. We think that the upper right-hand corner of WF3 can be used photometrically after applying the given correction. The decrease of ring counts near that corner seems to derive from excess light in the flatfield (Figure 3). Thus, the best way to correct this defect WFPC2 Filter FQCH4N-D 321 Figure 5. Outlines of the unvignetted fields of view for the filter rotation FQCH4N on WF3 and FQCH4P15 on PC1. The area outside the dashed line requires a flatfield correction. is a change in the flatfield of FQCH4N on WF3. With this correction, the average deviation of divided ring counts from unity inside the unvignetted field of view is 0.4 percent. Thus, the filter is suitable for excellent photometry. 7. Spectral Shift We divide Saturn into three sections: the rings and both latitude regions south and north of the latitude zone with the obvious longitudinal feature. Again, locations within three pixels of a boundary are excluded from all sections. Counts of divided images vary systematically by 2, 30, and 20 percent across the field of view for the rings, southern latitudes, and the Equatorial Zone, respectively. Least-square fits to both variations on Saturn’s globe yield gradient directions near 37 degrees counterclockwise from the x-axis of WF3, the same as for the flatfield variation discussed in Section 3. Thus, in Figure 6 we plot the divided counts as functions of the same variable used for Figure 3. Most likely, the filter FQCH4N-D has a spatial variation such as a variation in the thickness of a layer. This causes the variation in the flatfield (Section 3) as well as the different variations seen in Figure 6. While the flatfield variation can be explained by transmission values changing in the same way for all wavelengths, the variation seen in Figure 6 requires a spectral variation. The easiest explanation is a spectral shift of the whole transmission curve. A small spectral shift can cause the observed variations since Saturn displays steep spectral features within the bandpass of FQCH4N-D (Figure 7). Notably, from the short wavelength end of the filter’s passband to its opposite end, Saturn’s flux increases by a factor of two or more. We assume that the transmission curve of the filter FQCH4N-D was measured at the aperture FQCH4NW3, that it is shifted by 2 nm longward at the aperture FQCH4P15, and that the shift is linear and in the direction 37 degrees counterclockwise from the horizontal axis of WF3. This assumption can explain the approximate size of the variations seen for 322 Karkoschka & Koekemoer Figure 6. Divided counts on three parts of Saturn as function of location (dots). The curves are the expected variations for the adopted wavelength shift of the filter FQCH4N-D. WFPC2 Filter FQCH4N-D 323 Figure 7. Adopted filter transmission curves for two apertures and the spectra of two regions on Saturn, taken from the same observations as published by Karkoschka (1998). both sections of Saturn’s globe (curves in Figure 6). It also explains the approximate shape of the variations. The fact that the curves do not match the dots perfectly may result from observational limitations such as rotating longitudinal features on Saturn or spectral variations within each of the two selected sections. In view of these limitations, better fits possible with a more sophisticated dependency of the spectral shift as function of location seem unwarranted. Based on the relative flatfield brightness of the four methane quads, we estimate that the flatfield source had a color temperature near 3000 K. The spectrum of the ring is close to a solar spectrum with a color temperature near 6000 K. This difference causes a slight variation of flatfielded ring counts across the field of view which is even hinted at by the data, the slightly sloping data points for the rings in Figure 6. The adopted shift at each pixel can be calculated by (602 − x)0.0032 nm + (608 − y)0.0024 nm for the rotation FQCH4N on WF3 and 2 nm + (x − 400)0.0011 nm + (y − 312)0.0014 nm for the rotation FQCH4P15 on PC1. The total wavelength shift across the whole unvignetted field of view of the filter FQCH4N-D is 3.3 nm. This shift causes brightness variations across the filter FQCH4N-D of factors of 1.29, 1.24, 1.05, 1.01, and 1.02 for Jupiter, Saturn, Titan, Uranus, and Neptune, respectively based on spectra by Karkoschka (1998). However, spectral variations across each planetary disk are significant so that these averages are only a rough guide for actual variations of specific features on each disk. 8. Recommendations 1. An object should be placed inside the unvignetted field of view, shown in Figure 5. For the WF3, a placement towards the upper right yields higher signals due to the higher transmission of the filter. 324 Karkoschka & Koekemoer 2. A placement outside the dashed line of Figure 5 is only recommended if necessary because of some uncertainty of the flatfield adjustment. 3. The flatfield of FQCH4N-D in rotation FQCH4N on WF3 should be adjusted according to Section 6. 4. The transmission values of filter FQCH4N-D should be reduced by 0.0065 according to Section 2. 5. The transmission curve of FQCH4N-D should be spectrally shifted as explained in Section 7. This shift is most important for photometry on Jupiter and Saturn. 6. The observations of Saturn for this work gave a guide to understand the characteristics of filter FQCH4N-D, but they cannot replace measurements of the filter transmission curve at various locations of the filter. While this was not done before the installation of WFPC2 on HST, it may be possible to do when WFPC2 is brought back to the ground. 7. Other WFPC2 filters such as F953N also have anomalous brightness variations of the flatfield and measured transmission values which do not seem to reach zero. While they are smaller than those of FQCH4N-D, they still may be significant for some applications. 8. Measurements of filter transmission curves are preferentially performed at several locations since some filters at not spatially homogeneous. References Karkoschka, E. 1998, Icarus, 133, 134 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Using MultiDrizzle to combine Dithered WFPC2 Images Gabriel Brammer, Anton Koekemoer, and Bulent Kiziltan Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. This poster presents a guide to using the new MultiDrizzle Pyraf script to combine sets of dithered WFPC2 images. The MultiDrizzle script has condensed the steps of drizzling multiple images, as shown in the HST Dither Handbook (Koekemoer, et al. 2002), into a single Pyraf command with a number of parameters governing its behavior. This is aimed at greatly improving the ease with which images can be registered, cleaned of cosmic rays, and combined together using drizzle and related tasks. Images that have been produced using MultiDrizzle to combine WFPC2 datasets from the Dither Handbook examples are presented, and the results from a variety of parameter settings are explained and compared. 1. Introduction Previously, a set of tools were provided in the IRAF/STSDAS dither package to analyze dithered data obtained with HST. These tools address a variety of issues, such as registration, cosmic ray cleaning, and combination. The dither tasks are extremely flexible, but are also extremely complex with a large number of parameters. A new technique is now available—MultiDrizzle (Koekemoer et al. 2003, this volume, p. 337)—which automatically calls the dither package scripts along with the drizzle program (Fruchter & Hook 2002) and the PyDrizzle script(Hack & Jedrzejewsky 2002), using default parameters designed to work for a wide range of images (while still allowing the parameters to be changed as necessary). MultiDrizzle is run as a single command in Pyraf, following standard IRAF syntax. 2. Some MultiDrizzle Parameters The initial steps carried out by the MultiDrizzle script consist of the identification of bad pixels, subtraction of the sky background, and running drizzle to transform each of the individual input images onto a set of output images that are registered on a common frame. The script then combines these registered images to create a clean median image, which is subsequently transformed back to the original frame of each input image using the blot task. The next step involves the creation of the cosmic ray mask file. This is done by comparing each original input image with its counterpart “blotted” clean image, together with a third image that represents the spatial derivative of the “blotted” image. This comparison is carried out by the task driz cr, and it uses the following algorithm: |original image − blotted image| > scale × derivative + snr × rms . (1) The two important parameters in the step are: • driz cr scale—this takes into account the possibility that slight offsets in the shifts may be present, which could cause inappropriate rejection of valid pixels, such as bright 325 326 Brammer, et al. stellar cores. Increasing the value of scale will help ensure that such misidentifications occur less often; good values to use for scale typically range from 1–2. • driz cr snr —this is simply a multiplicative scaling of the rms, which has been calculated by taking into account the sky background (stored in the header), together with the readnoise and gain, as well as the observed flux in the pixel. Typical values for snr that will yield good results are in the range 3–5; higher values will lead to fewer cosmic rays being rejected, while lower values will cause more frequent rejection of pixels that are not necessarily cosmic rays. After creating the cosmic ray masks, the final step is to drizzle all the input images onto a single output image, using the information from the masks to exclude pixels in each input image that have been affected by cosmic rays. The task drizzle has several parameters, but two of the most import are: • final scale—the size of output pixels relative to the input pixels. If the sub-pixel space is reasonably well sampled by more than a few dithers, then it is acceptable to consider setting the value of scale small enough to provide critical sampling of the PSF. Typically, this means that values down to ∼ 0.4–0.5 can be considered for scale. • final pixfrac—the size by which input pixels are “shrunk” before being mapped onto the output grid. The values for this range between 0 and 1: if pixfrac = 0, then this is equivalent to interlacing (each input pixel will only ever contribute to a single output pixel), while at the other extreme, pixfrac = 1 corresponds to “shift-and-add.” In this case the output image is convolved by the full size of the input pixels. For a typical case of ∼4 sub-pixel dithers and scale = 0.5, reasonable values for pixfrac would be in the range 0.6–0.8. This allows some sharpening of the PSF relative to pixfrac = 1, while at the same time still retaining reasonably uniform coverage of the output pixel grid. For more information on the many MultiDrizzle parameters, as well as a detailed description of the script’s intermediate actions and products, please refer to the paper by Koekemoer et al. (2003, this volume) and to the MultiDrizzle web page, located at: http://www.stsci.edu/∼koekemoe/multidrizzle/ 3. Executing MultiDrizzle on a Set of WFPC2 Images This section goes through a step-by-step explanation of how to run MultiDrizzle on a set of 3 dithered exposures of the edge-on spiral galaxy NGC 4565 (ID 6092,PI: Keith Ashman) used in Example 2 of the HST Dither Handbook (Koekemoer et al. 2002). Note that MultiDrizzle products require substantial free disk space. The GEIS-formatted images for this example can be downloaded from: http://www.stsci.edu/instruments/wfpc2/dither/examples.html MultiDrizzle is run in the Pyraf command environment, loaded with pyraf at the unix command prompt. More information about Pyraf can be obtained at the STScI Pyraf home page: http://pyraf.stsci.edu Move to the directory containing the images for this demonstration, create an input image list, and set up MultiDrizzle: $ cd /data/mydir/ $ ls -1 *.c0h > files.list MultiDrizzle and WFPC2 327 $ pyraf pyexecute(’/data/wallaby1/anton/multidrizzle/multidrizzle iraf.py’, --> import multidrizzle --> unlearn multidrizzle files.list should contain: u31s0101t.c0h u31s0102t.c0h u31s0103t.c0h Run MultiDrizzle for the WFPC2 images with shifts calculated from the image headers: --> multidrizzle output=’final’ filelist=’files.list’ inst=’WFPC2’ The drizzled output images are 4-chip mosaics with the pixel scale of the PC (0.05/pixel). Since the WF chips have twice the pixel scale of the PC (0.1/pixel), the output images are approximately 2 chips × 800 pixels × 2 pixel scale = 3200 (2) f inal.scale = 1 pixels on a side. Display the drizzled science and weight images (see Figure 1), and compare to an individual input frame: --> display final sci.fits 1 zr- zs- z1=-.1 z2=.5 --> display final wht.fits 2 zr- zs- z1=0 z2=500 --> display u31s0101t.c0h[3] 3 zr- zs- z1=0 z2=100 4. MultiDrizzle Products The output science images have units of counts s−1 , and the weight image is a map of the effective exposure time per pixel. Note how the final science image stitches together the four WFPC2 chips and how the cosmic rays seen in the input image are eliminated. The slight level differences between the chips, (e.g., between WF2 and WF3 at upper and lower left, respectively) arise from difficulties in determining the sky background level for images of an extended source that entirely fills the camera’s field of view. The weight map shows how pixels affected by cosmic ray events on one or more input exposures have lower effective exposure times than those unaffected by cosmic rays. In this example with three exposures of 160 s each, a pixel affected by cosmic rays in all three images would have an effective exposure time (or weight) of zero, while a clean pixel in all three exposures would have an effective exposure time of 480 s. The PC and WF chips scale differently in the weight image because of the difference in pixel scales discussed above. MultiDrizzle corrects for the geometric distortions of the WFPC2 chips, and this correction is also visible in the weight images. From the distortion, the area of a single pixel projected onto the sky decreases towards the corners of the chips, and this decrease is incorporated in the flatfield file. Thus, the weight of the pixel needs to be increased correspondingly in order to preserve total flux. 5. Conclusions MultiDrizzle produces clean, registered drizzled images of dithered exposures through an interface that greatly simplifies the dither process. For the example described above, the process of producing properly drizzled products that required more than one hundred commands using the IRAF dither package has been reduced to a single Pyraf command. 328 Brammer, et al. Figure 1. (left) MultiDrizzle output science image, final sci.fits, with inverted color scale. (right) MultiDrizzle output weight image, final wht.fits. The display of the weight image has been stretched to highlight the geometric distortion corrections in the WF chips. The gradient from the centers to the edges of the chips is about 3% of the modal WF pixel value. The PC shows a similar effect, but at a level that is outside the image stretch as a result of the difference in the pixel scales of the PC and WF chips. References Fruchter, A. & Hook, R. 2002, Drizzle: a method for the linear reconstruction of undersampled images, PASP, 114, 144. Hack, W. & Jedrzejewsky, R., 2002, Pydrizzle User’s Manual, http://stsdas.stsci.edu/pydrizzle Koekemoer, A. M., et al. 2002, HST Dither Handbook, Version 2.0 (Baltimore: STScI) Koekemoer, A. M., Fruchter, A. S., Hook, R., & Hack, W. 2003, this volume, 337 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. WFPC2 Pointing Uncertainties Gabriel Brammer, Brad Whitmore, and Anton Koekemoer Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. This paper examines the absolute pointing of WFPC2 using repeat observations of GRW+70D5824, our photometric monitoring star. An offset of 1–2is found between the intended pointing position—pixel (420,424.5) on the PC (PC1)— and the observed pointing positions. This offset manifests itself as a circular annulus of data points centered around PC1 due to changing roll angles of HST during the year, which hence increases the observed pointing scatter from the expected ∼1 (due to uncertainties in the guide stars) to 2–3 . This issue is not critical for most WFPC2 users since the camera has a large field of view. Users requiring better absolute astrometric precision should measure positions relative to astrometric standards on the same image frame, if they exist. 1. Introduction The absolute pointing of WFPC2, with its wide field of view, is not as critically important as it is for some of the other HST science instruments that require placing a target on apertures as small as a 5 square, (e.g., STIS). However, occasionally such accuracy is desired for specific target placement on the WFPC2 chips. The absolute pointing of WFPC2 has not been extensively studied in the past, and a more careful characterization of the absolute pointing could be useful for estimating the reliability of both past and future WFPC2 pointings. Following Servicing Mission 3B, a jump was noticed in the relative alignments between the three Fine Guidance Sensors of the FGS. The team monitoring the FGS alignment wanted to see if this jump was visible in WFPC2 observations, motivating the accumulation of the dataset described here. 2. Dataset The observations used here to monitor the pointing of WFPC2 come from observations of the WFPC2 standard star GRW+70D5824 taken for the monthly photometric monitor program (Gonzaga et al. 2003). The star has been consistently observed since 1994 in 9 filters on both the PC and WF3 chips, with less frequent observations on the other two WF chips. The sample analyzed here contains 92 observations beginning Jan 2, 1999, through Aug 11, 2002, using the PC and filter F555W. These data provide an opportunity to monitor the absolute pointing of WFPC2, as the star would ideally be consistently placed at the same pixel location on the chip with some associated scatter due to uncertainties in the guide star positions (∼1 ). The expected pixel position here corresponds to the PC1 aperture located at (420,424.5) on the PC. The observed positions of GRW+70D5824 are shown in Figure 1. 329 330 Brammer, et al. Figure 1. (a) GRW+70D5824 positions on the PC from Jan 1999 to Aug 2002. The different point styles indicate which Fine Guidance Sensor was dominant for the particular observation. The offsets are relative to the PC1 aperture position, marked by “+”. The plate scale of the PC is ∼0.05/pixel. (b) x and y GRW+70D5824 positions vs. time. The sinusoidal oscillations in each direction have a period of ∼365 days. 3. Analysis The standard star pointings plotted in Figure 1a do not scatter randomly around PC1. Rather, they are distributed in an approximately circular annulus centered around the PC1 aperture location. If the points of Figure 1a are plotted consecutively in time, then the star’s location on the chip appears to rotate in the counterclockwise direction about PC1. This rotation is manifested in the out-of-phase sinusoidal variations of x and y position with time, shown in Figure 1b. Such a rotation is caused by a pointing offset in RA and/or declination whose projection on the camera x and y axes changes as the orientation of the telescope rotates. The orientation angle rotates through 360◦ over the course of the year. To estimate the WFPC2 pointing uncertainty without the effect of the pointing offset, we modeled the rotation of the data points by “de-rotating” them by an angle φ, relative to an arbitrary reference observation. The angle φ (in radians) used is then: φ= (M JD − M JDref ) × 2π. 365 The “de-rotated” result is shown in Figure 2a, with M JDref = 51371 (Jul 12, 1999). Another model fitting a sinusoidal function to the points of Figure 1b for each guidance sensor individually and plotting the residuals was used to compare with the rotation model. The amplitude and vertical offset were fit for each FGS in both x and y, while the phase and period were set to the values that produced the best fit in FGS3. For each FGS, the fitted vertical offset was added to the residuals to predict the offset caused by the misalignment. The fit residuals are shown in Figure 2c for comparison with the results of the “de-rotation” model. A comparison of the rms scatter of the points for each FGS before and after applying both models is shown in Table 1. WFPC2 Pointing Uncertainties Table 1. 331 Rms before and after De-rotating (in arcseconds) Dominant FGS FGS1r FGS2r FGS3 initial (x) 0.65 0.91 0.62 “de-rotated” (x) 0.61 0.41 0.21 “sine-fit” (x) 0.28 0.47 0.18 initial (y) 0.66 0.63 0.51 “de-rotated” (y) 0.56 0.90 0.29 “sine-fit” (y) 0.25 0.44 0.21 Figure 2. (a) “De-rotated” pointing positions. The positions fall into distinct groups according to which FGS was dominant for a particular pointing. The “θ” position of the groups about the origin depends on the choice of the arbitrary reference observation, so this model does not indicate the physical direction of the misalignment offsets for each FGS. (b) Predicted distribution of pointings after the aperture update implemented Oct 20, 2002, to correct the FGS-FGS misalignments. This plot centers the mean position of the pointings for each FGS on (0,0). (c,d) Same as a,b for the residuals of the sine-fit model. Note how the points are more tightly distributed, and how they continue to fall into discrete groups according to dominant FGS. 4. Conclusions The most obvious feature of the plots before and after modeling the rotation of the data points is that the pointing locations clearly fall into discrete regions according to which Fine Guidance Sensor was dominant for a given pointing. This indicates a relative misalignment between the guidance sensors, which has been previously seen in FGS monitors using STIS. The pointings using FGS3 as dominant show the smallest rms after removing the rotation effect, shown in Figures 2a,c and lie closest to the expected pointing of the PC1 aperture location. The rms scatter of these pointings decreases by a factor of about 2.5 in both x and y after compensating for the rotation. Where FGS 1r was dominant, the pointings show a smaller decrease in scatter after removing the rotation, and there is minimal improvement seen for pointings using FGS 2r. Both the scatter in the pointings, and the amount by which the pointings miss the aperture position, are largest for pointings in which FGS 2r was dominant. These results confirm STIS monitors that indicate that pointings using FGS 3 are the most accurate and precise of the three, while FGS 2r pointings show significant scatter and experience more frequent pointing failures. These results can be used as a “before” picture of the WFPC2 pointings to compare with results of pointings made after the observatory 332 Brammer, et al. aperture file was updated on Oct 20, 2002 to correct for the misaligned guidance sensors. After the aperture correction, we would expect all of the pointings in all three guidance sensors to be distributed randomly about PC1, or the desired pointing position, with a small rms scatter caused by the astrometric accuracy limits of the guide star catalogs. To estimate the improvement in pointing presision after the update, we shifted the pointing position for each FGS to a common mean and plot the results in Figure 2b,d. Combining this shift and the rotation from above, the rms scatter of all of the pointings decreases by 70–80% in x and 10–40% in y. Since the orientations of x and y are arbitrary in the model, the characteristic rms after the aperture update should show a decrease of 50–70% after Oct 20, 2002. We will determine the actual updated WFPC2 pointing statistics from subsequent GRW+70D5824 observations taken over the coming months. Table 2. Rms before and after De-rotating (in arcseconds) Dominant FGS FGS1r FGS2r FGS3 initial (x) 0.65 0.91 0.62 “de-rotated” (x) 0.61 0.41 0.21 “sine-fit” (x) 0.28 0.47 0.18 initial (y) 0.66 0.63 0.51 “de-rotated” (y) 0.56 0.90 0.29 “sine-fit” (y) 0.25 0.44 0.21 Acknowledgments. We would like to thank Olivia Lupie and Colin Cox for their FGS expertise. References Gonzaga, S., Ritchie, C., Baggett, S., Whitmore, B., Casertano, S. 2003, Technical Instrument Report WFPC2 (Baltimore: STScI), to be released in early 2003 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. The Accuracy of WFPC2 Photometric Zeropoints Inge Heyer, Marin Richardson, Brad Whitmore, Lori Lubin Space Telescope Science Institute, Baltimore, MD 21218 Abstract. The accuracy of WFPC2 photometric zeropoints is examined using two methods. The first approach compares the zeropoints from five sources: Holtzman (1995), the HST Data Handbook (1995 and 2002 versions), and Dolphin (both 2000 and 2002 versions). We find the mean scatter between the different studies to be: 0.043 mag for F336W, 0.034 mag for F439W, 0.016 mag for F555W, and 0.018 mag for F814W. The second approach is a comparison of WFPC2 observations of NGC2419 with ground-based photometry from Stetson (from his website) and Saha et al. (private communication). The tentative agreement between these comparisons is similar to the historical zeropoint comparisons. Hence we conclude that the true uncertainty of WFPC2 zeropoints is currently about 0.02–0.03 magnitudes. Since Poisson statistics would predict that 1% absolute accuracy should be attainable, we conclude that there are still systematic error sources which have not yet been identified. 1. Goals and Approach The ultimate goal of this project is to determine if 1% absolute photometry is possible using WFPC2. In principle this should be attainable, as evidenced by the fact that the shortterm rms in our photometric monitoring observations for the primary broadband filters are < 1%. The challenge is to: 1) understand the various systematic errors well enough (e.g., CTE loss, variable focus, geometric distortion, etc.) and 2) match the zeropoints to existing standards with enough precision to make this possible. In this poster we address the second issue by examining the accuracy of WFPC2 photometric zeropoints using two methods. The first approach compares the zeropoints from five sources: Holtzman (1995), HST Data Handbook (1995), HST Data Handbook (2002), Dolphin (2000), and Dolphin (2002). See Whitmore (2003) for a discussion and a figure. These five studies use largely independent methods to determine zeropoints (e.g., the Data Handbook uses a single photometric monitoring star and SYNPHOT while Dolphin uses ground-based photometry of Omega Cen and NGC 2419). Hence the resulting scatter provides an empirical estimate of the true uncertainty. The second approach is a comparison of WFPC2 observations of NGC 2419 with ground-based photometry from Stetson (2002; from his website) and Saha et al. (2002; private communication). The resulting scatter between these two determinations, along with the historical scatter outlined above, provides our best estimate of the true uncertainty in the WFPC2 zeropoints. A weighted combination of all determinations will eventually be used to determine new WFPC2 zeropoints for the F336W, F439W, F555W, F675W, and F814W filters. At present, we have results for F555W and F814W. Caveat: The current results should be considered tentative, pending some additional checks. Please refer to the Instrument Science Report (when completed) and the WFPC2 WWW site for the final values. 333 334 Heyer, et al. Table 1. Filter F555W F814W a Chip PC1 WF2 WF3 WF4 PC1 WF2 WF3 WF4 Averaged Means and Mean Residuals of the Zeropoint Deltas Sample Sizea 22 29 32 16 46 64 68 48 Stetson’s Averaged Mean −0.0087 0.0106 −0.0083 −0.0048 −0.0197 −0.0255 −0.0310 −0.0143 Stetson’s Mean Residual 0.0303 0.0412 0.0403 0.0270 0.0346 0.0374 0.0306 0.0313 Sample Sizea 10 13 13 12 8 16 14 11 Saha’s Averaged Mean −0.0229 0.0010 −0.0025 −0.0264 −0.0708 −0.0573 −0.0654 −0.0746 Saha’s Mean Residual 0.0412 0.0293 0.0321 0.0531 0.0394 0.0304 0.0269 0.0414 ‘Sample’ refers to different datasets observed between 1995 and 2002. Each sample typically consists of 5–20 stars. 2. Data Reduction The images were first multiplied by a geometric distortion correction image, since we are doing point-source rather than surface photometry. Aperture photometry was performed on each dataset using a 0.5 radius, and the values were corrected to infinity by subtracting 0.1 magnitudes (Holtzman 1995). Very bright stars and very faint stars were trimmed from the sample, due to suspected saturation and excessive noise, respectively. Searches were then performed to identify stars that matched stars from Stetson’s (2002; WWW site) data files. The Dolphin (2002) CTE correction and the Holtzman color transformations were applied. The sample was further trimmed by applying graduated isolation criteria with a limit approximating a 4-magnitude difference at 5 distance. Finally, plots were produced for each dataset showing the magnitude and V − I versus the delta between the observed magnitude (using the Data Handbook 2002 zeropoint) and the comparison study. 3. Results We present the results of our examination for the target NGC 2419 in the filters F555W and F814W. Table 1 shows the averaged means and mean residuals of the deltas of the zeropoints for each filter and chip. Figures 1–4 show the mean as a function of exposure time and observation date (in MJD) for F555W and F814W. The circles show the results from the comparison with Stetson’s stars, and the triangles show the results from the comparison with Saha’s stars. 4. Conclusions 1. The true uncertainty in the current WFPC2 zeropoints, as judged by either the historical zeropoints (see Figure 3 in Whitmore 2003) or comparisons of HST observations of NGC 2419 with ground-based photometry is about 0.02 mag for F555W and F814W, and about 0.03–0.04 mag for F439W and F336W. The F814W comparison with Saha (2002) appears to be slightly worse. 2. The short-term rms scatter would predict that an accuracy of 1% should be attainable. The fact that the true uncertainty is currently about 0.02–0.03 magnitudes indicates that there are as yet unidentified error sources. The Accuracy of WFPC2 Photometric Zeropoints Figure 1. Delta vs. Exposure Time for F555W. Figure 2. Delta vs. Observation Date for F555W. Figure 3. Delta vs. Exposure Time for F814W. Figure 4. Delta vs. Observation Date for F814W. 335 336 Heyer, et al. 3. While there appear to be some possible trends in the zeropoint deltas versus exposure time and time of observation, the lack of agreement in these trends for the different filters suggests that the underlying source of the error is still unknown. 4. Results of the various methods used here will be averaged together to produce new values for the zeropoints. These will be included in a WFPC2 Instrument Science Report and on the WFPC2 WWW site at a future date. References Baggett, S. ed., HST Data Handbook (WFPC2), Version 4.0, October 2002 (Baltimore: STScI) Dolphin, A. E. 2000, PASP, 112, 1397 Dolphin, A. E. 2002, http://www.noao.edu/staff/dolphin/wfpc2 calib/ Holtzman, J., et al. 1995, PASP, 107, 1065 Leitherer, C. ed.,HST Data Handbook, Version 2.0, December 1995 (Baltimore: STScI) Saha, A. 2002, (private communication) Stetson, P. 2002, http://cadcwww.dao.nrc.ca/cadcbin/wdb/astrocat/stetson/query/ Whitmore, B. 2003, this volume, 281 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. MultiDrizzle: An Integrated Pyraf Script for Registering, Cleaning and Combining Images Anton M. Koekemoer, Andrew S. Fruchter, Richard Hook,1 Warren Hack Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. We present the new PyRAF-based ‘MultiDrizzle’ script, which is aimed at providing a one-step approach to combining dithered HST images. The purpose of this script is to allow easy interaction with the complex suite of tasks in the IRAF/STSDAS ‘dither’ package, as well as the new ‘PyDrizzle’ task, while at the same time retaining the flexibility of these tasks through a number of parameters. These parameters control the various individual steps, such as sky subtraction, image registration, ‘drizzling’ onto separate output images, creation of a clean median image, transformation of the median with ‘blot’ and creation of cosmic ray masks, as well as the final image combination step using ‘drizzle’ . The default parameters of all the steps are set so that the task will work automatically for a wide variety of different types of images, while at the same time allowing adjustment of individual parameters for special cases. The script currently works for both ACS and WFPC2 data, and is now being tested on STIS and NICMOS images. We describe the operation of the script and the effect of various parameters, particularly in the context of combining images from dithered observations using ACS and WFPC2. Additional information is also available at the ‘MultiDrizzle’ home page: http://www.stsci.edu/∼koekemoe/multidrizzle/ Introduction The MultiDrizzle task is designed to provide a seamless, integrated approach to using all the various tasks in the IRAF/STSDAS dither package to register, clean, and combine dithered images. It has quite a few parameters but in principle can be run very simply from the PyRAF command line, specifying only the output filename and an input file list, e.g.: multidrizzle output=‘outputfilename’ filelist=‘files.lis’ The other parameters can be specified on the PyRAF command line or alternatively can be edited using the standard IRAF ‘epar’ mechanism before running the task. It is designed to carry out the following steps, either in a single pass or alternatively by selecting various steps individually: 1. StaticMask - Identify negative bad pixels, based on examining all the images, and include them in the dq file 2. SkySub - Sky-subtract each frame 3. Driz Separate - Drizzle the input images onto separate, registered outputs (using shifts computed from the headers) 4. Median - Create a median image from the separate drizzled images 5. Blot - Blot the median image back to the original input frames - Use each blotted image to create a derivative image, 6. Driz cr and compute CR masks 7. Driz Combine - Do the final drizzle combination Here we describe the details of the parameters involved in running each of these steps. 1 Space Telescope European Coordinating Facility, Karl-Schwarzschild-Str. 2, Garching, D-85748, Germany 337 338 Koekemoer, et al. 1. Create the Static Mask Parameters: staticfile static goodval = = 1.0 Name of (optional) input static bad-pixel mask Value of good pixels in the input static mask Output files: modified dq array in the original input files This step goes through each of the input images, calculates the r.m.s value for each chip, and identifies pixels that are below the median value by more than 5 times the r.m.s. This is aimed at identifying pixels that may have high values in the dark frame that is subtracted during calibration, but may not necessarily have high values in the images, thus the subtraction gives them strongly negative values. Such pixels are not always flagged in the dq file, hence this step allows them to be identified. Sometimes such pixels fall on bright objects so they would not be negative, but instead would be positive although lower than surrounding pixels. However, if the images are dithered then they should land on blank sky at least some of the time, in which case they will appear negative and will be flagged. 2. Perform Sky Subtraction Parameters: skytype skyname skywidth skystat skylower skyupper = = = = = = ‘single|quadrants’ ‘SKYSUM’ 50.0 ‘mode|mean|median’ −50.0 200.0 Type of subtraction (e.g., amplifier quadrants) Header keyword containing sky value Interval width for sky statistics Sky correction statistics parameter Lower limit of usable data for sky (in DN) Upper limit of usable data for sky (in DN) Output files: modified science array in the original input files This can subtract either the entire chip (skytype = ‘single’) or specific regions corresponding to each of the four individual amplifiers on the ACS/WFC chips (skytype = ‘quadrants’). The other parameters correspond directly to those in the sky task in the dither package, and are passed to it exactly as they are specified here. 3. Create Separate Drizzled Images Parameters: driz sep outnx driz sep outny driz sep kernel driz sep scale driz sep pixfrac driz sep rot driz sep fillval = = = = = = = ‘square|point|gaussian|turbo|tophat’ 1.0 1.0 0. INDEF Output image x-size Output image y-size Drizzle kernel Size of output pixels Size of ‘drop’ Rotation (anticlockwise) Value for undefined pixels Output files: * single sci.fits (drizzled output image for each input image) * single wht.fits (weight image corresponding to each drizzled image) This task drizzles the input images onto separate output images. By default it uses the drizzle ‘turbo’ kernel, and drizzle parameters of pixfrac = 1 and scale = 1. These can be changed; for example masks can be substantially improved by specifying a smaller value of scale (e.g., 0.5 or 0.66), with the trade-off being larger images (their size increases as the inverse square of the value of scale), and increased computation time. The shifts used here are calculated from the image headers by PyDrizzle. MultiDrizzle: Automatic Image Combination 339 4. Create the Median Image Parameters: median newmasks combine type combine reject combine nsigma combine nlow combine nhigh combine grow = = = = = = = yes ‘minmed|average|median’ ‘minmax|ccdclip|crreject|avsigclip’ 63 0 1 1.0 Create new masks? Type of combine operation Type of rejection Significance for min. vs median Number of low pixels to reject Number of high pixels to reject Radius for neighbor rejection Output files: output med *.fits * single wht maskhead.pl This creates a median image from the separate drizzled input images, allowing a variety of combination and rejection schemes. If combine type is set to ‘median’ or ‘average’, then the routine calls the IRAF task imcombine, passing to it the values of combine reject (usually expected to be ‘minmax’), along with combine nlow and combine nhigh (the number of low and high pixels to reject) and combine grow, the amount by which flagged pixels can grow. If median newmasks = ‘yes’, then pixels are flagged using the static bad pixel masks. If this parameter is ‘no’ then the task will simply use whatever masks are specified in the ‘BPM’ header keyword of each image (which you could create yourself). In general, however, it is recommended to use the static bad pixel masks that are generated by default. If combine type is set to ‘minmed’, then this task will use a slightly more sophisticated algorithm than the ones in imcombine, to create a cleaner combined image. The basic concept in this case is that each pixel in the output combined image will be either the median or the minimum of the input pixel values, depending on whether the median is above the minimum by more than a certain number of sigma. An estimate of the ‘true’ counts is obtained from the median image (after rejecting the highest-valued pixel), while the minimum is actually the minimum unmasked (‘good’) pixel. This algorithm is designed to perform optimally in the case of combining only a few images (3 or 4), where tripleincidence cosmic rays often pose a serious problem for more simplified median combination strategies. It performs the following steps: 1. Create median image, rejecting the highest pixel and applying masks 2. Use this median to estimate the true counts, and thus derive an r.m.s. 3. If the median is above the lowest pixel value by less than the first value in combine nsigma, then use the median value, otherwise use the lowest value. If combine grow > 0, repeat the above 3 steps for all pixels around those that have already been chosen as the minimum, this time using a lower significance threshold specified as the second value in combine nsigma. This is very successful at flagging the lower-S/N ‘halos’ around bright cosmic rays that were flagged in the first pass. 5. Blot Back the Median to the Frame of the Original Images Parameters: [none] Output files: * blt.fits This takes the median image and uses the dither package task blot to apply the geometric distortion and transform it back to the reference frame of each of the original individual input images, in preparation for the subsequent step of cosmic-ray rejection. 340 Koekemoer, et al. 6. Create Cosmic Ray Masks Parameters: driz cr snr driz cr scale = = ‘3.0 2.5’ ‘1.2 0.7’ driz cr.SNR parameter driz cr.scale parameter Output files: * blt deriv.fits * cor.fits * crderiv.pl This uses the original input images, the blotted images, and the derivative of the blotted images (created using the dither.deriv task) to create cosmic ray masks (using the dither.driz cr task), stored as separate files, which can later be combined with other masks. This step also creates a ‘ cor’ image, where bad pixels are replaced with pixels from the blotted median image. These relatively clean ‘ cor’ images can be used to determine shifts, if desired. 7. Perform Final Drizzle Combination Parameters: final outnx final outny final kernel final scale final pixfrac final rot final fillval = = = = = = = ‘square|point|gaussian|turbo|tophat’ 1.0 1.0 0. INDEF Output image x-size Output image y-size Drizzle kernel Size of output pixels Size of ‘drop’ Rotation (anticlockwise) Value for undefined pixels Output files: output sci.fits output wht.fits This takes the original input images, together with the final cosmic ray masks, and drizzles them all onto a single output image. The standard drizzle parameters of kernel, scale, pixfrac and rot can be specified for this task. By default the pixel scale of the output image is 1, but feel free to experiment with other options (e.g., when combining at least 4 sub-pixel dithered images, scale = 0.5 and pixfrac = 0.7 yields a sharper output PSF). Future Enhancements The next major enhancement to this script will consist of the ability to iteratively refine the shifts between images. This involves the use of image-based catalogs, or alternatively cross-correlation techniques, to directly determine the shifts from the data in the images. Prototype versions of these techniques are being successfully implemented, and a robust version will be included in a subsequent public release of MultiDrizzle. Acknowledgments. We are pleased to acknowledge very valuable contributions from a large number of people who have contributed ideas or feedback, including Ed Smith, Max Mutchler, Gabe Brammer, Bill Sparks, Benne Holwerda, Stefano Casertano, Harry Ferguson, Shireen Gonzaga, Megan Sosey, Linda Dressel, as well as many others. 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. WFPC2 Re-Commissioning After Servicing Mission 3B Anton M. Koekemoer, Shireen Gonzaga, Inge Heyer, Lori M. Lubin, Vera Kozhurina-Platais, and Brad Whitmore Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. We describe here the results from an extensive series of tests and observations that we carried out with WFPC2 as part of the Observatory Verification program during March to April 2002, after SM3B. These tests included UV monitoring of possible contamination, performance checks of the biases, darks and other internal calibrations, as well as PSF and flatfield verification. The results from these tests show that there are no significant changes in the characteristics of the camera with respect to its pre-SM3B performance. 1. Introduction In March 2002 Servicing Mission 3B (SM3B) was carried out, which included the addition of the NICMOS Cryo-cooler System (NCS) and the Advanced Camera for Surveys (ACS). While these will facilitate a wide range of science programs, WFPC2 retains a number of unique scientific capabilities. Thus, the WFPC2 SM3B plan involved protecting the health and safety of WFPC2 during and immediately after SM3B, and evaluating possible changes in its performance. Throughout SM3B and the subsequent 12 days of BrightEarth Avoidance (BEA), WFPC2 was maintained in an inactive Protect Decon mode with the camera heads warm (+22◦ C), the shutter closed and the F785LP filter in place, to minimize the risk of potential contaminants entering the instrument and depositing on the optical surfaces. On March 23 2002, WFPC2 was cooled down to its nominal operating temperature of −88◦ C, and an extensive four-week program of Servicing Mission Orbital Verification (SMOV3B) calibration observations were commenced, to verify that the camera performance and characteristics remained essentially unchanged. Here we describe the analysis and results from these programs. 2. UV Contamination Monitoring A critical component of WFPC2 cool-down involved intensive monitoring of the UV throughput, to ensure no permanently degradation by contamination deposited on the cold (−88◦ C) CCD windows. We began monitoring the standard star GRW+70d5824 immediately after cool-down, using the F170W filter in all four chips, repeated at 3, 6, 12, 18, 24, 36 hours, and 2, 3, 4, 5, 6 days after cooldown, after which a Decon was scheduled. UV observations were also obtained before and after each subequent Decon during SMOV. The results are presented in Figure 1, and can be summarized as follows: (1) at no point did any of the cameras exceed a 10% drop in throughput, well removed from the 30% limit; (2) the daily contamination rate was slightly higher than normal, but still below those during previous servicing missions; (3) the SMOV3B Decons successfully restored the F170W UV throughput to its nominal value; (4) the daily contamination rates now appear to have returned to their nominal values. Thus we conclude that our program of delayed cooldown, pro-active UV monitoring, and frequent decontaminations during SMOV3B were successful in fully retaining the F170W UV throughput capabilities of WFPC2. 341 342 Koekemoer, et al. WFPC2 F170W GRW+70d5824 Measured count-rates PC WF4 counts/s 200 180 160 140 counts/s 200 WF2 WF3 180 160 140 0 0 5 10 15 20 25 Time since cooldown (days) 1.00 0.95 0.90 WF2 1.05 Normalized counts/s 10 15 20 25 Time since cooldown (days) WFPC2 F170W GRW+70d5824 Normalized count-rates PC WF4 1.05 Normalized counts/s 5 WF3 1.00 0.95 0.90 0 5 10 15 20 25 Time since cooldown (days) 0 5 10 15 20 25 Time since cooldown (days) Figure 1. Measured decrease in the observed count-rate of GRW+70d5824 during the first month after cooldown, plotted for each of the cameras separately. The top panels show the measured count-rates, while the bottom panels show countrates normalized to the pre-SMOV3B values. It can be seen that after each decon, the throughput is effectively returned to its nominal value. 3. Lyman-α Monitoring During a servicing mission, contaminants could potentially settle on the WFPC2 pick-off mirror which is exposed to the HST hub area. We used F122M F160BW, by themselves and crossed with F130LP, to monitor the far-UV Lyman-α throughput for any decrease due to such contaminants. We used the historical GRW+70d5824 data to compare the contamination rate, and calculated the red-leak-corrected F122M data by subtracting the count rate measured in F122M+F130LP from that measured in the single F122M filter. We find that all the data taken in F160BW and F160BW+F130LP are within 2 sigma of the mean value. For the F122M filter, the SMOV3B count rates are lower than the average value by 2−3 sigma, but this is in agreement with the historical long-term CTE degradation. The observed deviations in the red-leak-corrected F122M data are also consistent with those found after the previous two Servicing Missions. Thus, we conclude that the Lyman-α throughput shows no significant contamination as a direct result of SM3B. 4. Photometric Verification This check was aimed at verifying the photometric accuracy to levels of 1 − 2%. The standard star GRW+70d5824 was observed in F160BW, F170W, F185W, F218W, F255W, F300W, F336W, F439W, F555W, F675W, and F814W, in all 4 CCDs. For each filter and CCD, we first fitted the long-term evolution of the photometric measurements, to account for CTE. We then expressed the post-SM3B measurements for each filter as a difference from the mean fitted trend, in units of the standard deviation of the historical data. Figure 2 shows the statistical distribution of the post-SM3B measurements, normalized by the 1-sigma error for each filter. The distribution has a mean of 0.34 ± 0.26 sigma, thus WFPC2 Re-Commissioning After Servicing Mission 3B 343 Figure 2. Statistical distribution of the post-SM3B photometry data points around the predicted values based on the fits obtained for each filter independently, and normalized by the 1-sigma error bars for each filter. there is no obvious change in the throughput across SM3B. Since none of the filters deviate strongly from the mean, we conclude that the response of WFPC2 is essentially unchanged by SM3B, and that the long-term throughput decline is entirely consistent with the expected CTE loss. 5. Flat Field Verification We examined observations of the bright Earth (“Earthflats”) to test the flat field stability and to verify that there is no unexpected OTA obscuration. We began with 124 pre-SM3B Earthflats in F502N, selected those obtained within 7 days after a Decon, and discarded images with mean PC1 counts < 500 DN and mean WF counts > 3200 DN, and with bad streaks. The remaining images were combined with the task streakflat to produce a pre-SM3B flat. A post-SM3B flat was created similarly, and divided by the pre-SM3B flat. The only changes are on large scales at levels below 0.1−0.2%, well characterized based on long-term evolution of the camera vignetting (Koekemoer et al. 2002). Other evidence of small on-going geometric changes is seen in KSPOT images (Casertano and Wiggs 2001). The pixel-to-pixel fluctuations (over the central 400 x 400 pixels) in the ratio image are ∼ 0.4% r.m.s. for the WFC CCDs and 0.8% r.m.s. for PC1, entirely consistent with photon noise. No change in chip-to-chip sensitivity is seen in on any levels above ∼ 0.3%, and there is no evidence of obscuration or other changes in the OTA. Thus we conclude that there are no significant changes in the flat fields due to SM3B. 6. PSF Monitoring Following the procedures used after the previous two servicing missions (see Biretta et al. 1997; Casertano et al. 2000), images of Omega Cen were obtained to characterize the PSF. 344 Koekemoer, et al. Figure 3. Radial profile of the PSF in the central region of the WFPC2 PC image of Omega Cen taken after SM3B. A composite stellar image was created using about 30 isolated, unsaturated stars near the chip center with the IRAF task psf , and the radial profile measured using the task radprof . The solid line shows the best-fit Gaussian model with FWHM=0.066, comparing well with the pre-SM3B value of 0. 064. Four dithered images were obtained in F555W and F814W, sub-stepped by one-third of a pixel to provide a critically sampled PSF. The images were combined using the dither package. We used the task psf to construct a two-dimensional composite PSF from about 30 bright, unsaturated, isolated stars across the PC chip. We then used the IRAF task radprof to measure the radial profile of the composite PSF (see Figure 3). The best-fit Gaussian has a FWHM of 0. 066 ± 0.002, which compares well with the pre-SM3B value of 0.064 (Biretta et al. 1997; Casertano et al. 2000). We also measured the composite PSF across the rest of the chip. As previously noted (Krist & Burrows 1995), the off-center PSFs are more asymmetric due to coma and astigmatism. We find that this behavior is unchanged in our current measurements. Therefore we conclude that there are no significant changes in the WFPC2 PSF after SM3B. 7. Internal Monitoring The internal monitoring observations for program 8950 were commenced immediately after cooldown, repeated regularly throughout SMOV3B, and included biases, dark frames, INTFLATs, VISFLATS, and Kellsall-spot (KSPOT) images. The bias frames were used to determine the read-out noise, using the 16 bias frames obtained after SM3B, and comparing with a similar number from before SM3B (Figure 4). The dark current was measured using 40 darks obtained after SM3B and the same number obtained before. No changes are evident to levels below 0.1 − 0.2 DN. We used the 16 post-SM3B INTFLATs to compare with a similar pre-SM3B dataset, and found no changes above ∼0.5%, all consistent with well-document small long-term changes in the INTFLAT lamp. We also compared VISFLATS from before and after SM3B and found that the gain ratios of all the chips remained constant to within 1%. Finally, we obtained 16 KSPOT images during SMOV3B, and compared these with a similar pre-SM3B dataset. We found that the spot locations for each chip agree to within a few mas, fully consistent with the slow long-term evolution previously discussed by Casertano and Wiggs (2001). 8. Summary Overall, WFPC2 appears to be very stable, exhibiting only the minor changes expected due to known long-term evolution, and there are no significant changes attributable to SM3B. WFPC2 Re-Commissioning After Servicing Mission 3B 345 Figure 4. Comparison of the r.m.s. read-noise measured from bias frames taken before and after SM3B, for the four WFPC2 chips (PC, WF2, WF3, WF4), at gain=7. There is no significant change at all in the read-noise for any of the chips, at either gain=7 or 15. References Biretta, J., et al. 1997, Instrument Science Report WFPC2-97-09 (Baltimore: STScI) Casertano, S., et al. 2000, Instrument Science Report WFPC2-00-02 (Baltimore: STScI) Casertano, S. & Wiggs, M. 2001, Instrument Science Report WFPC2-01-10 (Baltimore: STScI) Koekemoer, A. M., Biretta, J., & Mack, J., 2002, Instrument Science Report WFPC2-02-02 (Baltimore: STScI) Koekemoer, A. M., Gonzaga, S., Lubin, L., Whitmore, B., & Heyer, I., 2002, Technical Instrument Report WFPC2-02-03 (Baltimore: STScI) Koekemoer, A. M., et al. 2002, HST Dither Handbook, Version 2.0 (Baltimore: STScI) Krist, J. & Burrows, C. 1995, Applied Optics 34, 4952 Lubin, L. M., Whitmore, B., Koekemoer, A. M., & Heyer, I. 2002, Technical Instrument Report WFPC2-02-05 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Photometry of Saturated Stars in CCD Images J. Maı́z-Apellániz1 Space Telescope Science Institute, Baltimore, MD 21218, USA Abstract. We describe here a simple general method to correct for the effects of saturation in CCD observations of point sources where the A/D saturation level is significantly lower than the pixel full-well capacity. The method is intended to complement the results from a PSF-fitting or aperture photometry package and is somehow different from the one developed by Gilliland (1994) for WFPC2 data. The current implementation has been tested with WFPC2 and STIS CCD data, yields uncertainties between 0.02 and 0.10 magnitudes, and can be easily adapted to other HST or non-HST imaging CCDs. 1. Introduction The accuracy of bright-star photometry derived from CCD observations is limited by the A/D saturation level, the electron capacity of the pixel well, and the possible onset of non-linearity at high count levels (see, e.g. Howell 2000). The four WFPC2 chips and the STIS CCD are known to be highly linear below the A/D saturation level (Dolphin 2000b, Gilliland et al. 1999). Furthermore, the similarity between the full-well capacity and the A/D saturation level for the GAIN = 4 setting of the STIS CCD allows the detector to behave in a linear fashion even beyond saturation (Gilliland et al. 1999), since charge is simply transferred to neighboring pixels (a phenomenon known as bleeding). The behavior for the GAIN = 1 setting of the STIS CCD or for the WFPC2 chips is rather different, given that the full-well capacity is between one-and-a-half and four times the A/D saturation level, leading to a possible substantial loss of counts in the data. 2. Description of the method We can distinguish two different types of saturated point sources: weak, where no pixel reaches its full-well capacity, and strong, where at least one does and bleeding occurs. Weakly saturated stars retain an approximate circular symmetry while strongly saturated ones are elongated since bleeding takes place preferentially in the vertical direction (Fig. 1). Given their pixel sizes and PSFs, the transition between the two regimes is expected to take place for the GAIN = 7 setting of the WFPC2 and the GAIN = 1 of the STIS CCD somewhere in between 4 and 7 total saturated pixels (for a single star). Our method consists of selecting ten or more unsaturated stars in the same chip where the saturated stars are observed and using them as a reference to correct for the information lost due to saturation. Aperture photometry is performed on the unsaturated stars blocking the central pixels in a manner which simulates what would happen if the stars where brighter and saturated. Thus, for each star we obtain its real magnitude and the magnitudes we would obtain if any number of pixels between 1 and Nmax were saturated and the central pixels were not used for the calculation. Three choices can be used for the 1 ESA Space Telescope Division 346 Photometry of Saturated Stars in CCD Images 347 Figure 1. Examples of weakly (left) and strongly (right) saturated stars representative of WFPC2 (GAIN = 7) or STIS CCD (GAIN = 1) observations. The darkest shade is used to indicate pixels that have reached the full-well capacity, the intermediate one for those that are saturated but not completely filled, and the lightest one for not-saturated pixels that have suffered bleeding from pixels immediately below or above (only vertical bleeding is assumed here). The pixels possibly affected by vertical bleeding are marked with a cross and those possibly affected by horizontal (but not vertical) bleeding are marked with a diagonal line. blocked central region: no bleeding affects adjacent non-saturated pixels, so only saturated ones are excluded (appropriate for the weak case); bleeding possibly affects vertically adjacent pixels, so those are also excluded; and bleeding possibly affects both vertically and horizontally adjacent pixels, extending the exclusion to them (see Fig. 1). The magnitude differences for the reference stars are grouped by number of blocked pixels and within each group also by analogous geometrical kernels in order to account for the differences in pixel centering. For each kernel a mean magnitude correction and its dispersion is then calculated. The chip is then scanned for saturated stars, the pixels to be blocked are identified in each case, aperture photometry without the blocked pixels is performed, and the correction corresponding to that geometrical kernel is applied. Further corrections (CTE, geometrical distortions, aperture corrections) can easily be included. This method has been implemented in an IDL code which currently handles up to Nmax = 6 and the first two choices for blocked pixels. The other cases will be included in future versions. The advantages of this method are that no previous knowledge of the PSF or accurate calibration of the detector (in the form of e.g. some filter-dependent parameterization) are needed. Its main disadvantage is that the results will not be accurate if used for non-point sources. 3. Results In order to test the accuracy of the method, we selected archival observations for which both short (unsaturated) and long (saturated) exposures of the same field existed. For WFPC2 (GAIN = 7), we used the F555W and F814W 30 Doradus data from program 5114 (P.I.: Westphal) and for STIS (GAIN = 1) the 50CCD NGC 6752 data from program 8415 (P.I.: Gilliland). The reference unsaturated photometry was obtained using HSTphot (Dolphin 2000a) for WFPC2 and a custom-made aperture photometry IDL code for STIS. We applied the method to the stars that had between 1 and 6 saturated pixels in the long exposure data. For WFPC2, only the PC and WF2 were tested and the stars in R136 were excluded 348 Jesús Maı́z-Apellániz m 0.50 13.0 13.5 14.0 14.5 m 15.0 15.5 16.0 13.0 14.5 15.0 15.5 16.0 0.50 F814W WF2 0.25 0.25 0.00 0.00 −0.25 −0.25 −0.50 0.50 −0.50 0.50 F555W PC F555W WF2 0.25 0.25 0.00 0.00 −0.25 −0.25 −0.50 13.0 13.5 14.0 14.5 15.0 15.5 16.0 13.0 13.5 14.0 14.5 m 15.0 15.5 16.0 ∆m (sat.−unsat.) ∆m (sat.−unsat.) 14.0 ∆m (sat.−unsat.) ∆m (sat.−unsat.) F814W PC 13.5 −0.50 m Figure 2. Measured magnitude difference between the saturated and unsaturated exposures as a function of magnitude for the weakly saturated stars in the WFPC2 observations of 30 Doradus. The saturated magnitudes were obtained using the method described in this poster while the unsaturated ones were obtained with HSTphot. Stars shown in gray are those with large values of χ2 in HSTphot. m 16.75 17.00 17.25 17.50 17.75 18.00 18.25 18.50 0.2 0.2 0.1 0.1 0.0 0.0 −0.1 −0.1 −0.2 −0.2 16.75 17.00 17.25 17.50 17.75 18.00 18.25 ∆m (sat.−unsat.) ∆m (sat.−unsat.) STIS CCD 18.50 m Figure 3. Same as Fig. 2 for the STIS CCD observations of NGC 6752. Here the unsaturated magnitudes were obtained by aperture photometry. Photometry of Saturated Stars in CCD Images ∆m / (σ +σ 2 sat 18 −5.0 −2.5 ∆m / (σ +σ 0.5 2 unsat 2 sat ) 0.0 2.5 5.0 17 16 WFPC2 mean = 0.06 13 sigma = 1.30 ) 0.0 2.5 17 21 21 20 20 19 19 18 18 14 17 13 16 22 17 16 STIS CCD mean = 0.26 sigma = 1.10 15 15 12 12 11 11 10 10 12 12 9 9 11 11 10 10 9 9 8 8 7 7 14 8 N 14 13 7 7 6 6 5 5 6 6 4 4 5 5 4 4 3 3 2 2 3 3 2 2 1 1 1 0 0 0 −5.0 −2.5 0.0 ∆m / (σ2sat+σ2unsat)0.5 2.5 5.0 N 8 13 N N 5.0 22 15 14 −2.5 18 16 15 −5.0 349 0.5 2 unsat 1 −5.0 −2.5 0.0 2.5 5.0 0 ∆m / (σ2sat+σ2unsat)0.5 Figure 4. Measured magnitude difference normalized by its uncertainty for the WFPC2 (left) and STIS (right) results. The continuous curve shows the expected distribution. Gray blocks identify the gray data points in Fig. 2. due to the heavy crowding there. The two blocking options (weak and strong saturation) were tested. Results for the first one are shown in Figs. 2, 3, and 4 in terms of ∆m, the difference between the magnitudes derived from the unsaturated and the saturated data. • The weak-saturation blocking option yields photometric uncertainties of 0.02–0.06 (PC), 0.05–0.10 (WF2), and 0.02–0.04 (STIS) magnitudes. • The systematic bias generated by the algorithm is very small, of the order of 0.01 magnitudes for STIS and even smaller for WFPC2. In both cases the bias is also small in comparison with the measured uncertainty. • No significant differences were found between the weak- and strong-saturation blocking options. Furthermore, no tendency in ∆m as a function of m is observed in Fig. 2 and only a slight one is observed in Fig. 3. Therefore, the transition between the two modes of saturation appears to take place around N = 5–6 pixels for the STIS CCD and possibly at higher values for the WFPC2 chips. 2 + σ2 • The distribution of ∆m/(σsat unsat ) closely resembles a normal distribution (the limit N → ∞ of a Student’s t distribution) for both the WFPC2 and STIS results. The only small divergences are the existence of a small bias in the STIS case and the presence of an extended left wing in the distribution for both cases. The latter phenomenon could be caused by the presence of stars with strong saturation or nearresolved binaries. This last interpretation is favored by the location of the stars with high values of χ2 in the HSTphot output in Figs. 2 and 4. References Dolphin, A. E. 2000a, PASP, 112, 1383 Dolphin, A. E. 2000b, PASP, 112, 1397 Gilliland, R. L. 1994, ApJ, 435, L63 Gilliland, R. L., Goudfrooij, P., & Kimble, R. A. 1999, PASP, 111, 1009 Howell, S. B. 2000, Handbook of CCD Astronomy, CUP 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Updated Contamination Rates for WFPC2 UV Filters Matt McMaster and Brad Whitmore Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. Photometric monitoring observations of a white dwarf standard have been used to update the contamination rates for WFPC2 UV filters. Observations from April 1994 through May 2002 were used in the analysis. In general, the contamination rates have declined by roughly 50 fits have been made to the data to allow observers to remove the effects of contamination in their WFPC2 observations. 1. Introduction Contaminants within the WFPC2 instrument gradually build up on the cold CCD faceplate which results in a decrease of the UV throughput. Approximately once per month, these contaminants are melted off of the faceplate by means of a decontamination procedure (decon) which restores the UV throughput to its nominal value. This study extends earlier analyses and provides least-squares fits to the yearly contamination rates. The resulting formulae provide both more accurate and more easily used corrections for the effects of contamination on WFPC2 UV data. For a more detailed version of this paper, please see McMaster and Whitmore (2002). 2. Data The data used in this study were taken from the F160BW, F170W, F218W, F255W, F336W, and F439W photometric monitoring observations of the DA3 white dwarf, GRW+70D5824 and can be found at: http://www.stsci.edu/instruments/wfpc2/Wfpc2 memos/wfpc2 stdstar phot3.html. The data cover the time period from April 1994 (after the cool down from −76◦ C to −88◦ C) to May 2002. 3. Analysis The first step in the analysis was determining the contamination rate as a function of the number of days since decontamination (DSD) for each year. The resulting least-square fits for the period 4/97–4/98 and 4/01–4/02 are shown below for the F170W and F336W filters. As a matter of clarity, only the 97–98 data are compared with the 01–02; for similar plots of earlier data, please consult earlier work done on this subject. As seen on the left hand side of Figure 1, the count rates (DN/sec) for F170W in the PC at or near 0 DSD for 2001–2002 are generally higher than those for 1997–1998. The opposite is true for the F336W data (right hand side of Figure 1) where the difference in count rates for the PC near 0 DSD is lower by 3–7 percent. The F160BW data behave similarly to the F170W data, while the data for the F218W, F255W, and F439W filters (not shown) follow the trend of F336W. Since the NUV filters studied (F218W, F255W, F336W, and F439W) are less affected by contamination than the FUV filters (F160BW and F170W), this may suggest that some of the long-lived contaminants (i.e., those that 350 UV Contamination Rates 351 Figure 1. Contamination rates for 1997–1998 (open circles) and 2001–2002 (filled circles) for F170W (left) and F336W (right). Figure 2. Fits to the contamination rates for F170W (left) and F439W (right). See McMaster & Whitmore (2002). are not removed by the monthly decons) have outgassed from the PC over time. Also, it is now known that throughput loss due to CTE has been increasing linearly with time and it is probably this increase which has caused the count rates to decline in the NUV data. Since a decrease in count rates is not seen for F160BW and F170W, it can be concluded that these filters are more affected by the loss of long-lived contaminants than they are by the increase in CTE loss. 4. Phase II The second part of the analysis consisted of plotting the yearly contamination rates as a function of time and making a least-squares fit to the data. These fits can be used as correction formulae, and are made possible due to the longer temporal baseline. The subsequent smoothing and averaging of the data provide an improvement of our past technique of listing the yearly rates, where occasional increases were inferred due to observational scatter. The plots below are a representative sample of the fits. Note the step-like structure for F170W (Figure 2, left); this is probably an indication of an effect after Servicing Missions 2 and 3A, MJD = 50490.03 and 51531.16 respectively (dashed lines in the plots). The asterisks to the left of the dashed lines are the contamination 352 McMaster & Whitmore rates before the servicing missions (from several months to a few days before), and those to the right are the contamination rates after the servicing missions (from a few days to a few months). Note that all of the asterisks to the right of the dashed lines are higher than those to the left, indicating an increase in the contamination rate just after a servicing mission. This would explain the step-like structure seen in the plots. Note also that while the contamination rates immediately after a servicing mission can be quite high (almost twice as high after SM3A), they return to the general trend soon afterward. Only the solid points were used in determining the fits. Despite an increase in the contamination rates shortly after a servicing mission, a simple linear fit appears to represent the data quite well. An exception to this is the F439W data (Figure 2, right), where due to observational scatter, it appears that the rates for WF2 and WF3 are increasing. Since this is not thought to be true, a mean rate (the dashed lines in the plot and the numbers in parentheses in Tables 1 and 2) is also provided for each of the chips; we recommend using this mean rate. Table 1. Fits to Yearly Contamination Rates for PC and WF2 Filter F160BW F170W F218Wb F255W F336W F439Wc,d Table 2. PC Slope −1.348E-4 −7.440E-5 −5.185E-5 −4.240E-5 −1.084E-5 −3.275E-6 (0.025) Error 3.042E-5 1.219E-5 6.497E-6 6.803E-6 1.569E-5 7.541E-5 (0.017) Const 1.499 1.004 0.829 0.462 0.276 0.128 WF2 Slope −2.985E-4 −1.659E-4 −1.519E-4 −8.050E-5 −6.245E-5 +9.022E-6 (0.140) Error 4.821E-5 2.144E-5 1.926E-5 2.212E-5 3.912E-5 (0.050) Fits to Yearly Contamination Rates for WF3 and WF4 Filter F160BW F170W F218W F255W F336W F439Wc,d a Consta 0.857 0.562 0.478 0.246 0.081 0.029 Consta 1.344 1.038 0.863 0.459 0.234 0.062 WF3 Slope −2.401E-4 −1.755E-4 −1.387E-4 −6.093E-5 −5.005E-5 +2.874E-5 (0.092) Error 2.210E-5 1.934E-5 3.091E-5 3.958E-5 1.862E-5 1.281E-5 (0.028) Const 1.285 0.835 0.795 0.387 0.214 0.069 WF4 Slope −2.443E-4 −1.457E-4 −1.651E-4 −7.822E-5 −6.210E-5 −4.115E-6 (0.063) Error 4.474E-5 2.106E-5 1.673E-5 1.750E-5 2.597E-5 2.647E-5 (0.044) The value of the percentage throughput loss at MJD = 49500 (May 28, 1994) Due to a lack of sufficient data, the values for WF2 are an average of those for WF3 and WF4 and are recommended when determining the contamination correction for this filter/chip combination. c A plus (+) sign indicates where the rate appears to be increasing, though this is probably due to observational scatter rather than a larger number of contaminants falling on the chips. d The numbers in parentheses are the mean values of the yearly contamination rates (in percent throughput loss per days since decontamination) and should be used when correcting for contamination effects in this filter (i.e., with Equation 2). b UV Contamination Rates 5. 353 Correction Formulae The following formula can be used in correcting data taken in the F160BW, F170W, F218W, F255W, and F336W filters COUN T Scorr = COUN T Sobs 1.0 − (Slope(M JD − 49500) + Constant) (DSD/100) (1) where COUNTS obs is the count rate, in DN/second, measured from the image; Slope is the percentage throughput loss per day per MJD; MJD is the Modified Julian Date which can be determined from the header parameter EXPSTART; Constant is the value of the throughput loss per day at MJD = 49500; and DSD is the number of Days Since Decontamination which can be found on the WFPC2 Decontamination Date web page: http://www.stsci.edu/instruments/wfpc2/Wfpc2 memos/wfpc2 decon dates. html. For an object observed in the F439 filter, the correction formula would be: COUN T Scorr = COUN T Sobs 1.0 − (M ean (DSD/100)) (2) where COUNTS obs is the count rate, in DN/second, measured from the image; Mean is the average value of the yearly contamination rate in percentage throughput loss per days since decontamination (the number in parentheses in Tables 1 and 2); and DSD is the number of days since decontamination. 6. Red Leaks Some of these UV filters have substantial red leaks which have not been accounted for in the photometric monitoring data. In fact, red leaks can account for a significant percentage in the overall count rate for an observation in the FUV filters and strictly speaking, the corrections presented here are valid only for an object with the same spectral distribution as GRW+70D5824 (a white dwarf). The red leak is minimal for this case since the star is a very blue DA3 star. Table 3.13 in the WFPC2 Instrument Handbook indicates that roughly 6% of the light comes from the red leak. We caution users about using the contamination rates presented here for very red sources. SYNPHOT (the Space Telescope Science Institute’s SYNthetic PHOTometry package) can be used to determine more realistic corrections for these objects. 7. Conclusions and Recommendations Photometric monitoring observations from April 1994 to May 2002 have shown a decrease in the rate of contamination in the UV filters, with F160BW and F170W showing the steepest drop off. While it appears that the data show a correlation with the Servicing Missions, especially in the F170W filter, a least squares fit seems to be adequate. These fits, listed in Tables 1 and 2, along with the equations given above, can be used to correct for the effects of contamination in WFPC2 UV photometric data. The corrections presented here supersede those given in previous work and when using SYNPHOT to account for contamination in the obsmode parameter (e.g., wfpc2,2,a2d7,f170w,cont#MJD). References McMaster, M. & Whitmore, B. C. 2002, Instrument Science Report WFPC2 02-07 (Baltimore: STScI) 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Toward a Multi-Wavelength Geometric Distortion Solution for WFPC2 V. Kozhurina-Platais, S. Casertano, A. Koekemoer Space Telescope Science Institute, Baltimore, MD 212128 Abstract. The inner calibration field of omega Cen has been used to examine the geometric distortions of WFPC2 as a function of wavelength. We used multiple observations of this field shifted in the range of 0.25” to 35” and exposed through F300W, F555W, and F814W filters. All observations have been reduced using the IRAF/PSF/ALLSTARS package which yields the standard error of a single position 0.08, 0.05 to 0.06 pix, depending on the filter. The master catalog of all positions was used to obtain new distortion coefficients by differential method. Although the chosen set of observations do not allow us to find the non-perpendicularity of coordinate axes (skew), they provide clues on the scale change from filter to filter and within uncertainties confirm the values of previously found distortion coefficients. Future improvements will include more observations with rotated fields of stars and at selected epochs. 1. Introduction The geometric distortion of HST WFPC2 has received repeated attention in terms of astrometric calibrations (e.g., Holtzman et al. 1995, Anderson 2001, Casertano & Wiggs 2001, Anderson & King 2003). The goal of astrometric calibration of HST WFPC2 is not only to obtain a world coordinate system (WCS) free of distortion down to a precision level of 1 mas, but also to obtain a contiguous and seamless image over the field of view of the entire CCD mosaic. To achieve this goal, coordinates of individual CCD chips must be translated into the WCS and fluxes stacked up, employing point spread function fitting. If the knowledge of the PSF across the whole CCD mosaic frame, precise CCD mosaic metrology, and a distortion-free WCS are neglected, image resampling and stacking will produce an unwanted blurring of the objects of scientific interest. In this study, the inner calibration field of ω Cen exposed through filters F300W, F555W and F814W has been used to examine the geometric distortion of WFPC2 as a function of wavelength. Although the chosen set of observations do not allow us to find the nonperpendicularity of the coordinate axes (skew), it provides clues on the scale change from filter to filter, and, within uncertainties, confirms the values of previously found distortion coefficients. Future improvements will include more observations with rotated fields of stars at different selected epochs. 2. Data Set and Reductions The WFPC2’s wavelength-dependent geometric distortions have been computed from a series of overlapping images of the globular cluster ω Cen, taken in three WFPC2 bandpasses— F300W, F555W and F814W—over a single five hour period in June 13, 1997. Each set of the F330W, and F814W images consists of two central pointings with a 0. 25 shift and four outer pointing pairs with 35 shifts (with an offset of 0.25 in each pair). The set of F555W images has offsets at 35, 15 , and 0. 25. The IRAF/PSF/ALLSTARS tasks were used to 354 Multi-Wavelength Distortion Solution for WFPC2 355 Figure 1. Contour plot of the composite PSF as a function of position on the WF2 chip (filter F555W). The panels, from left to right, represent the observed PSF in the center, lower left, lower right, upper right and upper left of the chip, respectively. obtain the star positions on 136 CCD chips for all 34 images. The PSF fitting implements the empirical PSF fitting as a sum of an analytical function and look-up tables of residuals between the actual PSF and the fitting function (Stetson 1987, Stetson, Davis, & Crabtree 1990). An analytical Moffat function and six lookup tables were chosen to provide the best representation of the undersampled image cores and extended wings of the PSF in WFPC2’s data in order to calculate the image centers. An IRAF script was written to automate the detection of objects, selection of PSF stars, fit the analytical PSF to detected images and provide an output with X, Y and instrumental magnitudes for all four WFPC2 CCD chips. About 50–100 bright, unsaturated and isolated stars, well distributed over the chip, were selected to generate a template PSF. If the normalized standard scatter in the fit of an analytical PSF to the observed PSF stellar profile exceeded 0.020, the stars selected for the PSF template were examined interactively, poor images were deleted and the PSF fit was repeated until a normal scatter of 0.02 was achieved. Figure 1 presents the contour plots of the composite PSF as a function of position on the WF2 chip. It is well known that the observed PSF varies as a function of position on WFPC2 chips, with the off-center PSFs being noticeably more asymmetric due to coma and astigmatism. The quality of the PSF fit for each CCD chip was monitored by examining χ2 as a function of X, Y and magnitude. The stars with poor images (high χ2 , large magnitude errors) were rejected from the subsequent astrometric reductions, and only stars with good measurements (Figure 2) were used to calculate the geometric distortions. On average, there are over 30,000 such stars per filter. 3. The Model of Geometric Distortion The geometric distortion model for WFPC2 has been described by Holtzman et al. (1995), which, is essence, is a polynomial transformation between observed and distortion-free coordinates. Recently, Casertano & Wiggs (2001) attempted to improve the geometric solution for WFPC2 using data which were specifically designed to provide good sampling in all regions of the field of view. Here we use the Holtzman formalism with Casertano’s modification to calculate the geometric distortions of WFPC2 at three different wavelengths. The geometric correction is based on a bicubic polynomial which transforms the pixel coordinates (x, y) of each WFPC2 chip to geometrically corrected coordinates (Xg ,Yg ), matching the scale and orientation of the PC1 chip. The transformation operates on a single 800×800 CCD image in a coordinate system with its origin at the center of a CCD, i.e., X = x − 400 and Y = y − 400: 356 Kozhurina-Platais, et al. Figure 2. The distribution of errors in magnitude as a function of magnitude for the WF2 chip. Only stars denoted by the bold dots are kept in the astrometric reductions. Figure 3. The distortion correction maps for the F300W filter and all four chips. The grid is depicted using raw pixel coordinates with the zeropoint at 400,400. The size of the longest arrow corresponds to ∼ 6 pixels for PC1 (upper left panel), and twice as much for the remaining panels (WF2, WF3, WF4). The distortion maps for the other two filters are nearly identical. Multi-Wavelength Distortion Solution for WFPC2 357 Figure 4. Differences in the distortion correction in the sense “F555W–F814W.” The small amount of these differences along with a fairly random pattern change from chip to chip indicate that the differences are negligible. Xg = C1 + C2 X + C3 Y + C4 X 2 + C5 XY + C6 Y 2 + C7 X 3 + C8 X 2 Y + C9 XY 2 + C10 Y 3 Yg = D1 + D2 X + D3 Y + D4 X 2 + D5 XY + D6 Y 2 + D7 X 3 + D8 X 2 Y + D9 XY 2 + D10 Y 3 where the different sets of coefficients C and D are defined for each CCD/detector. Details on actual calculations can be found in the papers listed above. 4. WFPC2 Geometric Distortion Holtzman et al. (1995) point out that there should be a small but perceptible difference in the amount of expected distortion as a function of wavelength. The required corrections to account for cubic distortion (see coefficients C4 –C10 and D4 –D10) are displayed in Figure 3. Nominally they all look the same, however, the differences can be quantified by examining the maximum distortion at the location X = ±375 and Y = ±375 pixels. Cubic distortion in the F300W filter is definitely larger than in the F555W filter. The average increase in distortion for the F300W filter is 3%, or 0.37 PC1 pixels. The cubic distortion is essentially identical in the F555W and F814W filters. This is illustrated by Figure 4 which shows the differences in cubic distortion in the sense “F555W–F814W” for the WFPC2 chips. The longest vector is 0.12 PC1 pixels or 5.4 mas, which is comparable with the image centroid precision. It appears that the existing sets of geometric distortion coefficients cannot fully account for the cubic distortion in the F300W filter. More CCD frames with dense stellar fields like ω Cen are required to obtain more accurate distortion coefficients for this filter. 5. Conclusions The traditional PSF fitting techniques have been applied to obtain working sets of x, y coordinates for an assorted set of HST WFPC2 frames with the globular cluster ω Cen 358 Kozhurina-Platais, et al. in three bandpasses. We used a bicubic polynomial model to derive geometric distortions in F300W, F555W, and F814W filters. The main conclusion of this study is that existing sets of geometric distortions do not fully represent distortions in the F300W filter. The differences in such distortions between the F555W and F814W filters are only at the level of a few mas, which is comparable with the attained precision of image centering. Since the chosen set of observations have not been rotated with respect to each other we could not find the non-perpendicularity of coordinate axes—a skew parameter. Acknowledgments. We are grateful to B. Whitmore for the support and keen interest in this study. V.K.-P. thanks Ronald Gilliland for helpful comments and suggestions at various stages of this project. References Anderson, J. 2001, American Astronomical Society, DDA meeting, No. 32, poster 04.11 Anderson, J. & King, I. 2003, PASP(in print) Casertano, S. & Wiggs, M. 2001, in WFPC2 Instrument Handbook V.6.0 (Baltimore: STScI) Holtzman, J., Hester, J. J., Casertano, S., Trauger, et al. 1995, PASP, 107, 156 Stetson, P. B. 1987, PASP, 99, 191 Stetson, P. B., Davis, L. E., & Crabtree, D. R. 1990, in ASP Conf. Ser. 8, CCDs in Astronomy, ed. G. H. Jacoby, 289 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Charge Transfer Efficiency for Very Faint Objects and a Reexamination of the Long-vs.-Short Problem for the WFPC2 Brad Whitmore and Inge Heyer Space Telescope Science Institute, Baltimore, MD 21218 Abstract. An analysis of WFPC2 observations of Omega Cen and NGC 2419 leads to the following results. 1. The correction formula developed by Whitmore, Heyer, and Casertano (1999; hereafter WHC99) does a reasonable job of correcting for CTE loss down to extremely low count levels. There is no sharp cutoff to the detection threshold for very faint stars. 2. A comparison of the WHC99 formula with the Dolphin (2000; hereafter D00) formula shows reasonable agreement for bright and moderately bright stars, with the D00 formula giving better results. However, at very faint levels, the D00 formula overestimates, and the WHC99 formula underestimates, the correction by tens of percent. Note: Our current recommendation is to use the new Dolphin 2002 (hereafter D02) formula for CTE loss correction, which is an improvement on the D00 formula. 3. A reexamination of the long-vs-short nonlinearity shows that the effect is very small (a few percent) or nonexistent for uncrowded fields, with less than ∼1000 stars per chip. However, for crowded fields, with ∼10,000 stars per chip, apparent nonlinearities of tens of percent are possible. We believe this is due to difficulties in measuring the sky values for the short exposures. 4. Preflashing may be a useful method of reducing the effects of CTE loss for certain observations (moderately bright objects on very faint backgrounds), but the effects of added noise and longer overheads limit its effectiveness. 5. The detection thresholds for typical broad band observations have been reduced by ∼0.1–0.2 mag in the ∼9 years since WFPC2 was launched. For worst-case observations (F336W) the effect is currently ∼0.5 magnitudes. 1. A Comparison of WHC99 and D00 CTE Correction Formulae The Charge Transfer Efficiency (CTE) of the WFPC2 is declining with time, as first shown by Whitmore (1998). By February 1999, for worst case observations (very faint objects on very faint backgrounds) the effect of CTE loss from the top of the chip had reached levels of ∼40% (WHC99). For more typical observations, CTE loss was 5–6% by this date. Formulae have been derived by various groups to attempt to correct for the effects of CTE loss (WHC99; Saha, Lambert & Prosser 2000; D00). Various techniques are currently being studied to minimize the effect of CTE loss on new HST instruments (ACS and WFC3 include preflash capabilities). D00 examines CTE loss by comparing WFPC2 observations with ground based observations of Omega Centauri and NGC 2419, using a baseline through March 2000, roughly a year longer than available for an earlier study by WHC99. In general, D00 finds good agreement with the WHC99 results, and the longer baseline and more extensive data set used 359 360 Whitmore, et al. Figure 1. This shows the ratio of counts between a 14 sec and 100 sec exposure for stars in Omega Cen vs. the Y position for stars on all three WF chips. The raw values (filled circles) fall below a ratio of 0.14 due to CTE loss. The different panels are for different target brightness, as selected on the 100 sec exposure and described by the labels. The filled squares show the values corrected using the Whitmore, Heyer & Casertano (1998) formula while the filled triangles show the values corrected using the Dolphin (2000) formula. Note that neither of the two correction formulae is very good for the faintest stars (∼5 DN on the short exposure). Also note that the extrapolation of the raw data to Y = 0 (the sloped line) is consistent with the predicted value of the throughput ratio based on the exposure times, hence the long-vs.-short anomaly is not a problem for this data set (from Dolphin 2002). Dolphin has recently updated his formulae to improve the agreement for the faint stars. by D00 result in less scatter in the residuals. In particular, D00 finds similar corrections to within a few hundredths of a magnitude in almost all cases. The details of this study can be found in Whitmore and Heyer (2002), available at http://www.stsci.edu/instruments/wfpc2/Wfpc2 isr/wfpc2 isr0203.html 2. A Reexamination of the Long-vs.-Short Anomaly Suggestions of a long-vs-short photometric nonlinearity between short and long exposures was first discussed by Stetson (1995), and then examined in more detail by Kelson et al. (1996) and Casertano and Mutchler (1998). More recent studies, however, have found less evidence for the existence of the “long-vs.-short” problem (Dolphin 2000). Dolphin (2000) suggest that the apparent long-vs.-short anomaly may be caused by overestimating the value of the sky by a few electrons in the shorter exposure. It has been suggested that the long-vs-short anomaly may be caused by difficulties in measuring the sky on very crowded images. We can address this question by separating the measurement of the local sky and the measurement of the object. The top left in Figure 2 shows a measured slope consistent with the normal CTE effect. The intercept at Y = 0 is 0.00985 ± 0.00012, very near the theoretical value of 0.01. Hence, there appears to be little or no long-vs-short problem for the ratio of the object observations. However, the ratio of CTE for Very Faint Objects and the Long-vs.-Short Problem for the WFPC2 361 Figure 2. The ratios of the counts in the 10 sec exposure to the counts in the 1000 sec exposure for the crowded NGC 2419 field (left side). The top panel shows the ratios in the object apertures using a constant sky value of 0.30 DN for the short exposure and 30 DN for the long exposure. The bottom panel shows the ratio for the local sky measurements. The sky ratio is well above the predicted value of 0.01, demonstrating that the long-vs.-short effect is caused by the sky measurements rather than the object measurement. The dashed line shows a least squares fit for the object ratio data. the local sky values (as measured in an annulus between 5 and 10 pixels) shows a obvious tendency to be above the theoretical value of 0.01, with a median value of 0.0135. This appears to be the cause of the long-vs.-short anomaly in this data set; the sky values in the 10 sec exposure appears to be overestimated by about 35%, relative to the predicted value based on the sky measurement of the 1000 sec exposure. See Whitmore et al. (2002) for more details and a possible explanation for this discrepancy. 3. Detection Threshold as a Function of Time The CTE correction formulae can be used to estimate the evolution of the degradation in S/N for stars due to CTE loss as a function of time, and hence allow us to determine how the detection threshold (defined at S/N = 10) evolves. We show an estimate of S/N for a 1000s exposure using the F555W filter for a typical observation with a background of 50 electrons. We assume aperture photometry with object/inner-sky/outer-sky values of 2/5/10 pixels. Noise components are read noise (5 electrons/pixels), Poisson noise, and the uncertainty in the CTE formula (25%, based on a comparison of the WHC99 and D00 formulae). 362 Whitmore, et al. Table 1 shows the Signal-to-Noise at various magnitudes for a 1000s exposure using the F555W filter at the top of the chip (i.e., y = 800 pixels). This represents the worst case. The CTE effects are essentially half as large for a random distribution of objects (with mean Y = 400 instead of Y = 800). Table 2 shows the limiting magnitudes for the V and U bands for a 1000s exposure. Table 1. Signal-to-Noise at Various Magnitudes for a 1000s Exposure V mag 22.0 23.0 24.0 25.0 25.5 26.0 27.0 Table 2. 04/24/1994 103.1 67.4 39.9 21.2 14.7 10.0 4.4 2005 101.5 64.4 36.5 18.3 12.4 8.2 3.4 2010 100.8 63.0 35.1 17.2 11.5 7.5 3.0 Limiting Magnitudes for Two Different Filters in 1000 Seconds Date 04/24/1994 2000 2005 2010 4. 2000 102.2 65.7 38.0 19.5 13.4 9.0 3.8 V-Mag 26.00 25.87 25.76 25.67 delta 0.13 0.24 0.33 U-mag 23.16 22.81 22.59 22.40 delta 0.35 0.57 0.76 To Preflash Or Not To Preflash... CTE loss can be reduced by increasing the background, hence filling some of the traps before the target reaches them. One can artificially enhance the background by adding a preflash. This removes the dependence on CTE correction formulae, which introduce their own uncertainties. The problem with this approach is that it also adds noise. Figure 3 shows a calculation based on the WHC99 correction formula, assuming a very low background for the raw image (0.1 electron, appropriate for a very short exposure, a narrow-band exposure, or an exposure in the UV) versus an exposure which has been preflashed with 25 electrons. The ratio of the S/N for the preflashed image versus the raw image is plotted vs. the Log of the target brightness. The three curves show the effects for a star near the bottom of the chip (X = 400, Y = 100, where the preflash is never an advantage since CTE loss is low and the preflash adds noise), near the center of the chip, and near the top of the chip (where the preflash is an advantage for the brighter targets). Therefore, for fainter targets there will be nothing gained by preflashing, while for brighter targets, the amount of gain will depend on the location on the chip. An additional factor to consider is that the preflash exposure requires 2–5 minutes of overhead per exposure (depending on the necessity of filter changes and read-out, and length of the preflash exposure). In some cases these internal flat preflashes can be taken during occultations by the Earth, hence not affecting the effective integration time. The effect of the overhead time has not been included in the calculation since the exposure time for a given target will vary. However, for the typical case of two 1000 sec exposures per CTE for Very Faint Objects and the Long-vs.-Short Problem for the WFPC2 363 Figure 3. Calculation based on the WHC99 correction formula, assuming a very low background for the raw image, versus an exposure which has been preflashed with 25 electrons. orbit, with the first preflash being taken during the occultation, the result would generally be that only two 900 sec exposures would fit into one orbit, resulting in a decrease of ∼5% in the S/N, and ∼0.1 mag in detection threshold (assuming the noise is dominated by Poisson statistics; the effective change would be smaller if other sources of noise dominate). For shorter exposures the effect can be much larger, especially since a smaller percentage of the preflash exposures can be taken during the occultation. For example, for 3 minute exposures the S/N would be diminished by ∼40%, offsetting any advantage of a preflash over nearly the entire chip, even for best-case-scenarios. References Casertano, S. & Mutchler, M. 1998, “The Long vs. Short Anomaly in WFPC2 Images,” Instrument Science Report WFPC2 98-02 (Baltimore: STScI) Dolphin, A. E. 2000, PASP, 112, 1397 (D00) Dolphin, A. E. 2002, private communication, http://www.noao.edu/staff/dolphin/wfpc2 calib/ Kelson, D. D., et al. 1996, ApJ, 463, 26 Saha, A., Labhardt, L., & Prosser, C. 2000, PASP, 112, 163 Stetson, P. 1995 (unpublished, reported in Kelson et al. 1996) Whitmore, B. C. 1998, “Time Dependence of the Charge Transfer Efficiency on the WFPC2,” WFPC2 TIR 98-01 (Baltimore: STScI) Whitmore, B. & Heyer, I. 2002, “Charge Transfer Efficiency for Very Faint Objects and a Reexamination of the Long-vs.-Short Problem for the WFPC2,” Instrument Science Report WFPC2 02-03 (Baltimore: STScI) Whitmore, B., Heyer, I., & Casertano, S. 1999, PASP, 111, 1559 (WHC99) Part 5. Other Instruments 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Optical Interferometry with HST /FGS at V > 15 E. Nelan and R. Makidon Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD, 21218 Abstract. The Hubble Space Telescope’s Fine Guidance Sensor FGS 1r has been used to observe cool white dwarf stars with apparent magnitudes that are near the FGS’s faint limit. We had expected to discover that about 10% of these stars are binary white dwarf systems. We also expected the binaries to have angular separations much larger than the size of the FGS white light fringes, making them easy to resolve. Although we did find about 10% percent of the stars to be binaries, most have angular separations less than 25 mas, well below the HST diffraction limit. Instead of two widely separated fringes, we observed fringes that displayed subtle differences, in amplitude and morphology, from those of point sources. A major complication for our program was the need to address and remove the effects of the detector’s dark current, which for the faintest targets contributed up to 40 percent of the counts. This paper outlines the process we employed to retrieve the science from the data. 1. Introduction In Cycle 10 we used HST to observe cool white dwarf (WD) stars in an effort to discover binary systems composed solely of white dwarfs, hereafter referred to as double degenerate (DD) systems. We hoped to identify systems with separations suggesting orbital periods less than 25 years. Such binaries would be ideal candidates for follow up studies for deriving orbital elements, and ultimately the mass of each component. This would facilitate a more comprehensive calibration of the WD mass-radius relation and cooling curve for a variety of WD core and envelope compositions which are currently calibrated by only 4 WDs with dynamically measured masses. Based upon the incidence of binarity and the distribution of periods among G dwarf stars in the solar neighborhood (Duquennoy & Mayor 1991), and allowing for the expectation that systems with initial separations less than about 2 A.U. would evolve into unresolvable short period systems due to the orbital shrinkage expected to result from common envelope evolution (Iben & Livio 1993), we anticipated that about 10% of the WDs in our sample would be resolved as DDs with separations larger than 100 mas (all of the stars in our sample are within 50 pc). To optimize our prospects for resolving a DD, we restricted our target list to include only WDs cooler than about 9000 K since any companion could not be much cooler, and hence not much fainter than the primary. Although we expected to discover DDs with separations wide enough to be resolved by WFPC2, the superior angular resolution achievable (8 mas) with the Fine Guidance Sensor 1r (FGS 1r) made it the instrument of choice in the event that binaries with small separations, or unfavorable projection angles might be encountered. However, the FGS 1r faint limit at V = 17 is set by the instrument’s dark current. Many of the targets in our observing program would be fainter than V = 16, implying that the contribution from the dark counts would be comparable to that from the source. However, this presents an analysis problem only for binary systems with projected angular separations less than the size of the FGS white light fringe packet (50 mas). Few such systems were anticipated to be encountered. 367 368 2. Nelan and Makidon Observations We used FGS 1r in its high angular resolution observing mode (Transfer mode). After acquiring the star, the instrument’s instantaneous field of view (IFOV) is scanned across the star’s photocenter along a 45◦ diagonal path (in FGS X, Y detector space). The length of the scan is specified by the observer. We used scan lengths of 1 asec and step sizes of 0.8 mas. The total number of scans (typically 50) was set by the length of the observing window (we specified the maximum number possible). Each step in the scan is a 25 msec integration. The data contains the 40 Hz measurement of the location of the FGS 1r IFOV and the photon counts from the instrument’s four photomultiplier tubes (PMTs). These data are used to reconstruct the target’s observed fringes along the FGS 1r X, Y axis. For a detailed description and discussion of the FGS, please consult the FGS Instrument Handbook and the HST Data Handbook for the FGS, both of which can be obtained from the FGS web site (follow the links from http://www.stsci.edu/hst/fgs.) 3. Analysis Data from the individual scans are auto correlated, binned, and co-added to produce a pair of high signal to noise ratio (SNR) interferograms for the observation, one for each of the instrument’s two orthogonal baselines. The photon noise in the individual scans for stars fainter than V = 15.5 makes the auto correlation unreliable as it injects false jitter. In such cases the scans are correlated using the HST guide star data (from the guiding FGSs) prior to being binned and co-added. After co-adding, the interferograms are smoothed by application of a cubic spline. If an object is resolved by FGS 1r to be a binary system, the observed fringes will depart from those obtained from a point source. To analyze binary star observations, one finds the best fitting linear superposition of point source fringes which have been scaled and shifted to represent the relative brightness and separation of the two sources comprising the binary system. The data along the FGS X-axis are analyzed independently from those along the Y -axis, however the relative brightness of the components must agree. The point source fringes are available from observations of standard stars made as part of the HST /FGS calibration program. For the best SNR, only bright standards are observed (V < 10, generally). However, when observing a star as faint as V = 16.4, the instrument dark current contributes about 40 percent of the counts accumulated by the detector. Since this is incoherent with the light from the star, the fringe visibility is reduced, as can be seen in Figure 1 which compares the observed fringes of two point sources, one at V = 11.5 and the other at V = 16.4. Clearly, before any headway can be made in analyzing the data from scans of faint stars, the effect of the dark counts must be addressed. Rather than trying to remove the dark counts from the faint star data, it is better to use the data from a bright calibration source to model the fringes of a faint point source. In other words, we scale the observed photometric counts of the bright standard down to the level they would be had the star been as faint as the science target, we add in the dark counts, and then regenerate the fringes. Figure 2 shows the bright star fringe after being adjusted to simulate a V = 16.4 point source, and compares it to the observed fringes of the faint source. 4. Results In this section we show how our analysis of the observed fringes of the faint, V = 16.2 star WD1818+126 has allowed us to resolve it as a binary system. Bergeron et al. (1997) note that the object’s spectra is best modeled as a composite from two stars, a DA and a cooler DC, to explain the shallow depth of the hydrogen lines. They also note that the inferred Optical Interferometry with HST/FGS at V > 15 Figure 1. Comparison of fringes from two point sources, one at V = 11.5, the other at V = 16.4. The dark counts have reduced the amplitude of the faint star’s fringes. Figure 2. The bright star fringe, after being adjusted as if it can from a faint source, is compared to the observed fringes of a faint source. 369 370 Nelan and Makidon Figure 3. Comparison of an adjusted V = 11.5 fringe to that of WD1818+126. This shows that the white dwarf is not a point source. surface gravity (derived from its luminosity and temperature) is too low, implying either an unusually low mass (large radius) or that it is a binary system composed of white dwarfs. Figure 3 compares the observed fringes of WD1818+126 to those from a bright point source which has been modeled as a faint star. Clearly WD1818+126 is not a point source. Figure 4 compares the fit of a model which uses the adjusted calibration fringe to determine the separation and relative brightness of the components along the FGS X-axis. Figure 5 shows the model’s fit along the FGS 1r Y -axis. The object is a wide binary with separation of 176 mas, but its position angle was nearly aligned with the FGS 1r Y -axis, thereby projecting a small separation along the X-axis and a large, easily resolved separation along the Y -axis. The best fitting model yields an angular separation along (X, Y )=(15.7, 173.7) mas, with the secondary being 0.94 magnitudes fainter than the primary. Note that the faint companion is nearly V = 17, very close to the FGS 1r’s limiting sensitivity. 5. Conclusions We had expected to detect only wide DDs, such as WD1818+126. However, the wide systems turned out to be fewer in number than the close (sep<30 mas) systems. The chance alignment of WD1818+126 as projected onto the FGS 1r yields a wide, easily resolved separation along the Y -axis and a small, sub-diffraction-limited separation along the X-axis. The Y -axis result clearly established the binary nature of the object. This in turn firmly establishes the reliability of the analysis process which resulted in the X-axis detection. Therefore, we conclude that performance of FGS 1r is not significantly impaired near the instrument’s faint limiting magnitude, and that sub-diffraction-limited angular resolution remains viable, provided the dark counts are properly modeled. The prevalence of binary white dwarf systems with projected angular separations suggesting physical separations less than 1 A.U. indicates that common envelope evolution does not necessarily result in unresolvable short period binary systems with small physical separations. This has implications for the range of values that can be taken on by the common envelope efficiency parameter αCE . Finally, our program to identify DD systems suitable for follow up studies for dynamical mass determinations has yielded several good candidates. Optical Interferometry with HST/FGS at V > 15 Figure 4. The FGS 1r X-axis fringe of WD1818+126 is best modeled as a composite of two point sources with a projected angular separation of 15.7 mas and a magnitude difference of 0.94. Figure 5. The wide projected angular separation of WD1818+126’s components along the FGS 1r Y -axis leave no doubt that this is a binary system. The measured magnitude difference agrees well with the result from the analysis of the X-axis data. 371 372 Nelan and Makidon It is important for HST to continue observing the longer period systems (P > 15 years) in order to establish an accurate baseline for a hand off to SIM in the event that SIM’s mission lifetime is otherwise too short for deriving the orbital elements of these systems. Acknowledgments. This work is based upon observations made with the NASA/ESA Hubble Space Telescope, which is operated by the Space Telescope Science Institute, of the Association of Universities for Research in Astronomy, Inc. under NASA contract NAS526555. This work is supported through grant GO-09169 (E. Nelan, P.I.) References Bergeron, P., Ruiz, M. T., & Leggett, S. K. 1997, ApJS, 108 Duquennoy, A. & Mayor, M. 1991, A&A, 248,485 Iben, I. & Livio, M. 1993, PASP, 105, 13731 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. The Optical Field Angle Distortion Calibration of HST Fine Guidance Sensors 1R and 3 B. McArthur, G. F. Benedict1 and W. H. Jefferys Astronomy Department, University of Texas, Austin, TX 78712 E. Nelan Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. To date five OFAD (Optical Field Angle Distortion) calibrations have been performed with a star field in M35, four on FGS 3 and one on FGS 1, all analyzed by the Astrometry Science Team. We have recently completed the FGS 1R OFAD calibration. The ongoing Long Term Stability Tests have also been analyzed and incorporated into these calibrations, which are time-dependent due to on-orbit changes in the FGS. Descriptions of these tests and the results of our OFAD modeling are given. Because all OFAD calibrations use the same star field, we calibrate FGS 1 and FGS 3 simultaneously. This increases the precision of our input catalog, particularly in regards to proper motion, resulting in an improvement in both the FGS 1 and FGS 3 calibrations. Residuals to our OFAD modeling indicate that FGS 1 will provide astrometry superior to FGS 3 by ∼ 20%. Past and future FGS astrometric science supported by these calibrations is briefly reviewed. 1. Introduction The largest source of error in reducing star positions from observations with the Hubble Space Telescope (HST ) Fine Guidance Sensors (FGSs) is the Optical Field Angle Distortion (OFAD). Description of previous analyses can be found in McArthur et al. (1997), Jefferys et al. (1994), and Whipple et al. (1994,1996). The precise calibration of the distortion can only be determined with analysis of on-orbit observations. The Long Term STABility tests (LTSTAB), initiated in fall 1992, are an essential component of the OFAD calibration, and provide information on temporal changes within an FGS. They also provide indicators that a new OFAD calibration is necessary. This paper reports the results of the continuing OFAD calibration of FGS 3 and a new OFAD calibration for FGS 1, including the LTSTAB tests. Past astrometry produced by FGS 3 and future astrometric results anticipated from FGS 1 are briefly reviewed. 2. Motivation and Observations A nineteen-orbit OFAD (Optical Field Angle Distortion) was performed in the spring of 1993 for the initial on-orbit calibration of the OFAD in FGS 3. The first servicing mission made no changes to the internal optics of the three Fine Guidance Sensors (FGS) that are used for guiding and astrometry on HST. However, the subsequent movement of the secondary mirror of the telescope to the so-called “zero coma” position did change the morphology 1 G. F. Benedict presented the paper at the 2002 Calibration Workshop. 373 374 McArthur, et al. of the FGS transfer functions (Ftaclas et al. 1993). Therefore, a five-orbit post servicing mission delta-OFAD calibration plan was designed and executed. After detection by the LTSTAB of increasing incompatibility with the spring 1994 delta-OFAD calibration, an 11 orbit OFAD was performed in the fall of 1995 to recover the error budget for astrometry, after In the spring of 1997 a five-orbit OFAD was performed on FGS 3 after the second servicing mission. In December of 2000, a 14 orbit OFAD was performed on FGS 1R, which replaced FGS 3 as the prime astrometer for scientific observations. FGS 1R, an enhanced FGS with an adjustable fold-flat mirror that can be commanded from the ground, had replaced the original FGS 1 instrument in February of 1997 in SM2 (Servicing Mission 2). Seventy LTSTABS (Long Term Stability Tests) have been performed in both FGS 1R and FGS 3 to assess time-dependent changes. A current list of the OFAD and LTSTAB tests is shown in Table 1. 3. Optical Field Angle Distortion Calibration and Long Term Stability Test The Optical Telescope Assembly (OTA) of the Hubble Space Telescope (HST ) is a Aplanatic Cassegrain telescope of Ritchey-Chrètien design. The aberration of the OTA, along with the optics of the FGS comprise the OFAD. The largest component of the design distortion, which consists of several arcseconds, is an effect that mimics a change in plate scale. The magnitude of non-linear, low frequency distortions is on the order of 0.5 seconds of arc over the FGS field of view. The OFAD is the most significant source of systematic error in position mode astrometry done with the FGS. We have adopted a pre-launch functional form originally developed by Perkin-Elmer (Dente, 1984). It can be described (and modeled to the level of one millisecond of arc) by the two dimensional fifth order polynomial: x = a00 + a10 x + a01 y + a20 x2 + a02 y 2 + a11 xy + a30 x(x2 + y 2 ) + a21 x(x2 − y 2 ) +a12 y(y 2 − x2 ) + a03 y(y 2 + x2 ) + a50 x(x2 + y 2 )2 + a41 y(y 2 + x2 )2 +a32 x(x4 − y 4 ) + a23 y(y 4 − x4 ) + a14 x(x2 − y 2 )2 + a05 y(y 2 − x2 )2 y = b00 + b10 x + b01y + b20 x2 + b02 y 2 + b11 xy + b30 x(x2 + y 2 ) + b21 x(x2 − y 2 ) +b12 y((y 2 − x2 ) + b03 y(y 2 + x2 ) + b50 x(x2 + y 2 )2 + b41 y(y 2 + x2 )2 +b32 x((x4 − y 4 ) + b23 y(y 4 − x4 ) + b14 x(x2 − y 2 )2 + b05 y(y 2 − x2 )2 (1) where x, y are the observed position within the FGS field of view, x , y are the corrected position, and the numerical values of the coefficients aij and bij are determined by calibration. Although ray-traces were used for the initial estimation of the OFAD, gravity release, outgassing of the graphite-epoxy structures, and post-launch adjustment of the HST secondary mirror required that the final determination of the OFAD coefficients aij and bij be made by an on-orbit calibration. M35 was chosen as the calibration field. Since the ground-based positions of our target calibration stars were known only to 23 milliseconds of arc, the positions of the stars were estimated simultaneously with the distortion parameters. This was accomplished during a nineteen-orbit calibration, executed on 10 January 1993 in FGS number 3. GaussFit (Jefferys 1988), a least squares and robust estimation package, was used to simultaneously estimate the relative star positions, the pointing and roll of the telescope during each orbit (by quaternions), the magnification of the telescope, the OFAD polynomial coefficients, and these parameters that describe the star selector optics inside the FGS: ρA and ρB (the arm lengths of the star selectors A and B), and κA and κB (the offset angles of the star selectors). Because of the linear relationship between ρA , ρA , κA and κB , the value of κB The OFAD Calibration of HST Fine Guidance Sensors 1R and 3 Table 1. Orbit 1 2 3-21 22 23 24 25 26 27 28 29 30 31 32 33-37 38 39 40 41 42 43 44 45 46 47 48 49 50–60 61 62 63 64 65 66 67 68 69 70 71 72–76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 LTSTAB and OFAD Observations Julian Date 2448959.340822 2448971.061435 2448997.782164 2449082.954086 2449095.742836 2449096.613044 2449226.341817 2449255.529236 2449283.771053 2449309.341898 2449379.838241 2449408.794850 2449437.560417 2449468.662153 2449469.602118 2449593.554884 2449624.182975 2449652.274942 2449683.371435 2449711.665382 2449749.996910 2449780.160903 2449811.662894 2449838.070301 2449990.553542 2450018.625255 2450042.360197 2450052.674838 2450112.122350 2450133.837824 2450158.835440 2450174.716192 2450199.778704 2450321.550822 2450353.777465 2450377.443275 2450416.366701 2450480.031933 2450518.768090 2450560.517523 2450717.416169 2450743.225891 2450783.224190 2450822.077315 2450847.955266 2450904.886979 2450924.644942 2451054.361725 2451113.296366 2451121.224560 2451153.943299 2451163.019213 2451184.786771 2451189.556088 Year 1992 1992 1993 1993 1993 1993 1993 1993 1993 1993 1994 1994 1994 1994 1994 1994 1994 1994 1994 1994 1995 1995 1995 1995 1995 1995 1995 1995 1996 1996 1996 1996 1996 1996 1996 1996 1996 1997 1997 1997 1997 1997 1997 1998 1998 1998 1998 1998 1998 1998 1998 1998 1999 1999 Day 337 349 10 95 108 109 238 268 296 321 27 56 85 116 117 241 271 299 330 359 32 62 94 120 273 301 324 335 29 51 76 92 117 239 271 294 333 31 70 112 268 294 334 8 34 91 111 240 299 307 340 349 6 11 FGS 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 1 3 1 1 3 Observation LTSTAB LTSTAB OFAD LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB Spring Delta-OFAD LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB Fall Delta-OFAD LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB Spring Delta-OFAD LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB Coefficient Set 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 4 4 3 375 376 McArthur, et al. Table 1. Orbit 91 92 93 94 95 96 97 98 99 100 101–114 115 116 117 118 119 120 121 122 123 124 Continued Julian Date 2451300.596829 2451300.664236 2451416.507917 2451430.269572 2451555.127963 2451555.199688 2451649.638229 2451653.660590 2451783.159410 2451830.321088 2451899.105289 2451968.923102 2452021.654896 2452137.970671 2452201.355764 2452263.961701 2452274.313264 2452295.219942 2452370.867882 2452384.694618 2452520.528970 Year 1999 1999 1999 1999 2000 2000 2000 2000 2000 2000 2000 2001 2001 2001 2001 2001 2001 2002 2002 2002 2002 Day 122 121.2 238 251 11 11 106 110 239 286 355 59 112 228 291 354 364 20 96 110 246 FGS 3 1 3 1 1 3 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 Observation LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB OFAD LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB LTSTAB Coefficient Set 3 4 3 4 4 3 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 is constrained to be zero. A complete description of that calibration, the analysis of the data, and the results are given in Jefferys et al. (1994). In late fall 1992, just prior to the 1993 OFAD calibration, a series of one-orbit longterm stability tests (LTSTAB) was initiated. These tests had two seasonal orientations, a spring orientation taken from an orbit of the OFAD, and a fall orientation, which was a 180 degree flip of the spring orientation. LTSTABs have been performed several times in each of the orientations, spring and fall, every year. The LTSTAB is sensitive to scale and low order distortion changes. It is an indicator of the validity of the current OFAD coefficients and the need for recalibration. The LTSTAB series immediately showed that the scale measured by the FGS was changing with time. The indication of this change was seen in the large increase with time in the post-fit residuals from a solution that solved for a constant sets of star positions, star selector encoder (SSE) parameters, and OFAD parameters. The amount of scale change is too large to be due to true magnification changes in the HST optical telescope assembly. These changes could be due to water desorption in the graphite-epoxy components within the FGS. Initially the scale-like change was modeled by allowing a variation in the star-selector-A effective lever arm(ρA). Since 1995, the change has been modeled by allowing a change in both ρA and κA (the offset angle of the star selector). A five-orbit delta-OFAD was performed on 27 April 1994 after the first servicing mission to assess the distortion changes caused by the secondary mirror movement to the zero coma position. Significant effects in the OFAD (in addition to the scale-like changes) at the level of 10 mas were found. The LTSTAB tests have revealed continued permutations in the FGS. In addition to the scale changes, in mid-1995 we began to recognize higher order distortion changes. These changes manifested themselves as something that looks like a radial scale variation and is fairly well modeled by alterations in the third order terms in Eq. (1). We had also noted that the residuals from the fall orientation LTSTABS are consistently higher than for the spring in FGS 3. The OFAD Calibration of HST Fine Guidance Sensors 1R and 3 377 An eleven-orbit delta-OFAD was performed in the late fall of 1995, to analyze temporal changes, and upgrade the y-axis coverage.The star catalog was redetermined with input from the three OFAD experiments of 1993, 1994 and 1995 to minimize the OFAD distortion that could have been absorbed by the catalog positions. A more complete analyses of this deltaOFAD can be found in McArthur 1997. In the spring of 1997 a second servicing mission replaced FGS 1. A five orbit deltaOFAD was performed in FGS 3, repeating the orientation of spring 1994. The coefficients produced by this five-orbit delta-OFAD did not provide a better calibration than the 11 orbit Fall of 1995 delta-OFAD calibration, so these orbits were used instead as LTSTABS. Two LTSTABS were performed in Spring 1997, one before and one after the second servicing mission. With scale and offset removed, a comparison yielded an rms of 0.965 mas, indicating stability of FGS 3 across the servicing mission. At the end of 2000, a 14 orbit OFAD was executed in FGS 1R, for a total of approximately observations. Figure 1 shows the rotations and offsets of FGS 1R in this OFAD calibration. Because we now have a ten-year time span of M35 star positions, the McNamara (1986) proper motion values were entered as observations with error in a quasiBayesian fashion, instead of being applied as constants. They then combine with the HST observations to determine the proper motions. For this calibration, we ran a model which performed a simultaneous solution of OFAD polynomials, star selector encoder (sse) parameters, proper motions, drift parameters, and catalog positions. This model had over 12,000 equations of conditions using all 124 OFAD and LTSTAB plates. Only the OFAD plates determined the OFAD polynomials and complete sse parameters, while the LTSTAB combined with the OFAD plates contributed to a time-varying ρA and κA , proper motions, and catalog positions. Each plate formed its own drift and rotation parameters. A systematic signature in the X residuals from the four OFAD analysis remains. This signature differs between FGS 3 and FGS 1. It appears as a very distinctive curve in the x component residuals as a function of position angle in the FGS field of view (Figure 2). The curve cannot be modeled by the fifth order polynomial. We have used a four frequency Fourier series to remove this effect. The size of this effect, in an RMS sense over the entire field of view of the FGS, is about one millisecond of arc. However, the peak-to-peak values near the center of the field of view can be as large as 7 mas in FGS 3. The FGS 1 systematic is much smaller with a peak to peak of about 2.5 mas. The source of this unexpected distortion is not yet known but it may be due to the way the FGS responds to the spherically aberrated HST beam. On the basis of almost ten years of monitoring the distortions in FGS 3 we have concluded that at the level of a few milliseconds of arc, the optical field angle distortion in HST FGS 3 changes with time. These changes can be monitored and modeled by continuing the LTSTAB tests, which also alerts us to the need for a new OFAD calibration. There remains some dichotomy between the OFAD calibration data taken in the spring and that taken in the fall. Five sets of OFAD coefficients (Eq. 1) and star selector parameters (M , ρA , ρB , κA and κB ) have been derived for reductions of astrometry observations. The average plate residuals for these determinations are listed in Table 2. Comparisons of grids created with each set of FGS 3 OFAD coefficients and distortion parameters indicate that the OFAD has changed around 10 milliseconds of arc in non-scalar distortion between calibrations (which have spanned 12–18 months)in FGS 3. Each LTSTAB is associated with a specific set of coefficients Table 1. In the boundary area between two OFAD experiments, the LTSTAB observations were reduced with both sets of OFAD separately to determine which coefficients produce the best ρA κA fit of the LTSTAB. The values of ρA and κA determined by the LTSTABS and OFADS in FGSs 1 and 2 are illustrated in Figure 6, 5, 4 and 6. The error bars for these determination are smaller 378 McArthur, et al. Figure 1. Rotation and Offsets of FGS 1R Winter 2000 OFAD. 6 FGS3 FGS3 FGS3 FGS1 5 4 1993 1994 1995 2000 correction in arcseconds 3 2 1 0 -1 -2 -3 -4 -5 -6x10 -3 500 400 300 200 100 0 -100 X position in arcseconds -200 -300 -400 -500 Figure 2. Four frequency Fourier series correction of systematic signature in X Residuals. The OFAD Calibration of HST Fine Guidance Sensors 1R and 3 Table 2. 379 OFAD Residuals in milliseconds of arc OFAD Spring 1993 Spring 1994 Fall 1995 Spring 1997 Winter 2000 FGS 3 3 3 3 1 Xrms 1.90 1.96 2.09 1.85 1.87 Yrms 2.48 2.47 2.49 2.62 1.95 RSS 2.77 2.71 2.78 2.78 2.32 Number of Residuals 490 90 312 101 420 Orbits 19 5 11 5 14 -0.60 -0.61 κ A in FGS3 -0.62 -0.63 -0.64 -0.65 -0.66 -0.67 -0.68 2.4490 Figure 3. 2.4495 2.4500 2.4505 Julian Date 2.4510 2.4515 2.4520x106 κA fit of the LTSTABS in FGS 3. than the symbols. For reduction of science astrometry data, the ρA κA parameters are determined by interpolation of the two nearest LTSTABS in time. 4. Past and Ongoing Astrometric Science with HST FGS FGS 3 has been used to determine the first astrometrically determined mass of an extrasolar planet, which is around the star GL 876 (ApJL, in press). It has been used to obtain many trigonometric parallaxes. Targets included distance scale calibrators (δ Cep—Benedict et al. 2002b; RR Lyr—Benedict et al. 2002a), interacting binaries (Feige 24—Benedict et al. 2000), and cataclysmic variables (RW Tri—McArthur et al. 1999; TV Col—McArthur et al. 2001; SS Cyg, U Gem and SS Aur—Harrison et al. 1999). It was also involved in an intensive effort to obtain masses and mass ratios for a number of very low-mass M stars (for example, GJ 22, GJ 791.2, GJ 623, and GJ 748—Benedict et al. 2001). The average parallax precision resulting from FGS 3 was σπ = 0.26 mas. FGS 1 is being used to determine the parallaxes of several cataclysmic variables (EX Hya, EF Eri, V1223 Sgr), parallaxes of a representative set of AM CVn stars, an independent parallax of the Pleiades, and the masses of extrasolar planets around 2 Eridani and υ Andromeda. FGS 1 is also involved in an ongoing effort to obtain masses and mass ratios for additional sets of low-mass M stars. A continued program of LTSTAB monitoring and OFAD updates is essential to the success of these long-term investigations with FGS 1. 380 McArthur, et al. 6.9090 ρ A in FGS3 6.9080 6.9070 6.9060 6.9050 6.9040 6.9030 2.4490 Figure 4. 2.4495 2.4500 2.4505 Julian Date 2.4510 2.4515 2.4520x106 ρA fit of the LTSTABS in FGS 3. 0.839 0.838 0.837 0.836 κ A in FGS1 0.835 0.834 0.833 0.832 0.831 0.830 0.829 0.828 0.827 2.4510 Figure 5. 5. 2.4512 2.4514 2.4516 2.4518 Julian Date 2.4520 2.4522 2.4524x106 κA fit of the LTSTABS in FGS 1. Conclusions We have shown that continued OFAD calibration of the Fine Guidance Sensors can reduce this source of systematic error in positions measured by the FGSs to the level of 2 mas. However, changes in the FGS units continue to occur, even twelve years after launch. These changes require periodic updates to the OFAD to maintain this critical calibration. Acknowledgments. The Astrometry Science Team is supported by NASA NAG51603. We are grateful to Q. Wang for the initial modeling of the OFAD and D. Story and A. L. Whipple for their earlier contributions to this calibration. We thank L. Reed for her long-term contribution to our knowledge of FGS 3. We thank Gary Welter and Keith Kalinowski for their interest and assistance at Goddard Space Flight Center. We thank all the members of the STAT, past and present for their support and useful discussions. The OFAD Calibration of HST Fine Guidance Sensors 1R and 3 381 6.8148 ρ A in FGS1 6.8144 6.8140 6.8136 6.8132 6.8128 6.8124 6.8120 2.4510 Figure 6. 2.4512 2.4514 2.4516 2.4518 Julian Date 2.4520 2.4522 2.4524x106 ρA fit of the LTSTABS in FGS 1. References Benedict, G. F., McArthur, B., Chappell, D. W., Nelan, E., Jefferys, W. H., van Altena, W., Lee, J., Cornell, D., Shelus, P. J., Hemenway, P. D., Franz, O. G., Wasserman, L. H., Duncombe, R. L., Story, D., Whipple, A., & Fredrick, L. W. 1999, AJ, 118, 1086 Benedict, G. F., McArthur, B. E., Franz, O. G., Wasserman, L. H., Henry, T. J., Takato, T., Strateva, I. V., Crawford, J. L., Ianna, P. A., McCarthy, D. W., Nelan, E., Jefferys, W. H., van Altena, W., Shelus, P. J., Hemenway, P. D., Duncombe, R. L., Story, D., Whipple, A. L., Bradley, A. J., & Fredrick, L. W. 2001, AJ, 121, 1607 Benedict, G. F., McArthur, B. E., Franz, O. G., Wasserman, L. H., Nelan, E., Lee, J., Fredrick, L. W., Jefferys, W. H., van Altena, W., Robinson, E. 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MacKenty Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 Abstract. The mission of Wide Field Camera 3 (WFC3) is to assure the continuance of HST s superb imaging capability until 2010 while adhering to a cost capped development approach. It will provide HST with a UVIS channel from 200 to 1000 nm and an infrared channel from 850 to 1700 nm with a rich set of filters. WFC3 is based on the heritage of the existing HST instruments and follows a philosophy of extensive re-use of designs, components, and procedures. Its calibrations and data products are based on the approaches used by the ACS and NICMOS instruments. 1. Introduction WFC3 will be the first “panchromatic” camera on HST with two channels covering from the near-ultraviolet into the near-infrared. The WFC3 UVIS channel uses a CCD detector. This channel backs up ACS WFC capability while providing in addition a vastly improved near-ultraviolet wide field science capability for HST. The WFC3 IR channel extends the infrared capabilities on HST beyond the NICMOS instrument with a seven times larger field of view, improved sensitivity where HST is most advantageous compared to ground-based observatories, and a design compatible with operation until the end of the HST mission. WFC3 is a facility instrument being developed on behalf of the HST user community. It will replace the Wide Field Planetary Camera 2 (WFPC2) in Hubble’s radial science instrument slot during Servicing Mission 4. The primary purpose of WFC3 is to assure continued world class HST imaging science to the end of mission (now expected around 2010). To this end, NASA decided to develop WFC3 as a facility instrument without the GTO team associated with prior HST instruments. The scientific goals and oversight of WFC3 are provided by a NASA appointed Scientific Oversight Committee (SOC) chaired by Dr. Robert O’Connell of the University of Virginia. Day to day development of the instrument is conducted by an Integrated Product Team (IPT) formed by teams experienced in the development of prior HST instruments. Led by NASA’s Goddard Space Flight Center (GSFC), the IPT includes the Space Telescope Science Institute (STScI), Ball Aerospace Corporation, Swales Aerospace Corporation, the Jet Propulsion Laboratory (JPL), and many industrial suppliers. The IPT is led by Dr. Randy Kimble (GSFC) as Instrument Scientist [who replaced Dr. Ed Cheng (GSFC) in September 2002], Dr. John MacKenty (STScI) as Deputy Instrument Scientist, and Thai Pham (GSFC) as Instrument Manager. 2. 2.1. UVIS Channel CCD Detector The UVIS channel has a Focal Plane Array consisting of two 2048 × 4096 pixel backside illuminated CCDs. These were manufactured by E2V (then Marconi) Corporation in the United Kingdom. They will provide a field of view of 162 × 160 arcsecond with 0.039 arcsecond projected pixel size. This is comparable to the existing WFPC2 Planetary Camera 383 384 MacKenty Figure 1. CCD Focal Plane Array. channel and somewhat better than the ACS/WFC (0.050 arcsecond) sampling. These CCDs have blue/near-UV optimized anti-reflection coatings that extend their sensitivity down to 200 nm. These coatings extend the wide field imaging into the near-UV at the expense of sensitivity in the green-red region (where ACS is optimized). Further, WFC3 uses Aluminum reflective optics rather than protected silver (as employed by ACS/WFC) resulting in a further red light performance advantage for ACS. At this time, E2V/Marconi has completed all the WFC3 program CCD detector deliveries. These are exceptional devices, with extremely uniform behavior from device to device, ultraviolet (250 nm) quantum efficiencies of 50 to 60 percent, readout noise of 2 to 2.5 e− rms (approximately 3 e− rms including the flight electronics), and excellent CTE. These CCD detectors were extensively characterized at the GSFC Detector Characterization Laboratory by the WFC3 team. At the present time, Ball Aerospace has bonded two pairs of these CCDs into 4K ×4K focal plane substrates and is nearing completion of their assembly into flight units. 2.2. UVIS Filter Elements The complement of filters was selected by the WFC3 SOC after extensive input from the astronomical community. It represents a carefully considered balance between continuing the presence of heavily used WFPC2 and ACS filters and offering new capabilities. WFC3 also benefits from recent improvements in filter technology that reduce pinholes, improve out of band rejection, and in-band throughput and bandpass shape. The UVIS channel has a 48 element selectable, optical filter assembly (SOFA) that is the actual unit flown in the WF/PC-1 instrument from 1990–1993. This refurbished unit has been populated with new filters designed and manufactured for WFC3 by Barr Associates and Omega Optical (two filters were obtained from the stock of WFPC2 spares). There are 42 full field of view filters and 5 quad-filters which provide different passbands in each quadrant of the image. There is also an ultraviolet grism to provide slitless spectroscopy that was originally developed for the WF/PC-1 instrument. These filters represent the state of the art in astronomical filters with especially excellent broad-band near-UV filters. Combined with the enhanced UV detector sensitivity, WFC3 is several magnitudes more sensitive than WFPC2 in the UV. WFC3: Design, Status and Calibration Plans Figure 2. 2.3. 385 SOFA Mechanism. UVIS Calibration Considerations The UVIS channel is nearly identical to the ACS Wide Field Channel (WFC). It uses the same detector format, electronics, flight and ground software. The data sent to observers has the same format and is processed by nearly identical pipeline calibration software. There are two significant new features of its operation: (1) we have added support for 2 × 2 and 3 × 3 pixel on-chip binning, and (2) we will replace post-flash with charge-injection for mitigation of the decline in charge transfer efficiency with on-orbit radiation damage. We have obtained a full characterization of the detectors including monochrometer flat fields in the red to provide the basis of a fringing correction with narrow emission line sources. We are placing a high priority in obtaining extensive calibration in the ultraviolet during the system level ground testing. WFC3 will be equipped with internal deuterium and tungsten lamps for differential calibration. An important consideration for calibration of WFC3 (also present to nearly as large an extent in the ACS) is the significant geometric distortion in the field of view. We anticipate that WFC3 will fully re-use the CALACS (drizzle) pipeline and that the majority of observations will be reconstructed using dithered observations. 3. 3.1. IR Channel HgCdTe Detector The Infrared Channel has a focal plan array consisting of a single 1024 × 1024 pixel HgCdTe detector array. This array is a Rockwell Scientific Hawaii-1R device with a custom WFC3 mounting. The array provides a 1014 × 1014 pixel imaging area with 5 non-light-sensitive reference pixels along each edge. This array provides a 139 × 123 arcsecond field of view 386 MacKenty Figure 3. Infrared Focal Plane Array mounted on 6 stage TEC. (0.130 × 0.120 arcsecond projected pixel size). While not fully Nyquist sampled, the IR sample represents a balance between maximizing the field of view and sampling the point spread function. With dithered observations, it is expected that the full diffraction limited resolution of HST will be preserved at wavelengths longwards of 1 micron. The HgCdTe detector has a short wavelength cutoff at 0.82 to 0.85 microns determined by its CdZn substrate and a long wavelength cutoff turned to 1700 nm. The long wavelength cutoff was selected to provide acceptable dark current for operation at 150 K. This temperature is the minimum practical with the use of a solid state thermal electric cooler(TEC). Compared to NICMOS’s original limited lifetime stored cryogen or current power-hungry mechanical power cooler, the TEC cooling permits low power and long lifetime operation and has strong design inheritance from the TECs that have cooled CCD detectors in STIS, ACS, and the WFC3 UVIS channel. The IR detector program was less mature at its inception than the CCD detectors and required the production of multiple lots of devices. At this time, recent detectors approach the desired specification and are in evaluation. The WFC3 IR channel is expected to have somewhat better point source sensitivity than the NICMOS. In the broad J and H filters, the detector dark current and noise, plus the instrument and telescope background, is comparable to the zodiacal dust emission. Combined with its larger field of view (and improved sampling over the large field), it should greatly increase HST ’s infrared survey capability. The NICMOS instrument will remain the only HST instrument with infrared coronographic and polarization capability, and with response beyond 1.7 microns. 3.2. IR Filter Elements The IR channel has a single 18 element filter wheel located in a cold enclosure near the cold stop (and HST ’s pupil). This provides 15 bandpass filters and two grisms that offer coverage from 850 to 1700 nm at broad, medium, and narrow bands (mapped to astronomically interesting features). 3.3. IR Calibration Considerations The IR Channel is closely patterned on the NICMOS instrument. While NICMOS supported five detector operation modes, WFC3 only supports MULTI-ACCUM since this was used for essentially all NICMOS observations. Also known as sample-up-the-ramp, WFC3: Design, Status and Calibration Plans Figure 4. 387 Infrared Filter Wheel. MULTI-ACCUM obtains a sequence of readouts while signal accumulates in the detector. The observer selects from a menu of stored exposure Sample Sequences (for which dark calibrations will be maintained) and obtains a selected number of readouts from that sequence. WFC3 is capable of obtaining up to 16 readouts during a single exposure; this is limited by onboard data storage. The data format follows the NICMOS model with provision for cosmic ray removal from individual datasets and the combination of datasets. The addition of the reference pixels may help track drifts in the baseline (pedestal) signal. As with the UVIS channel, we expect these datasets will be compatible with the ACS second stage (drizzle) imaging combination pipeline software. This has several benefits: combination of multiple samples to reduce noise and artifacts, improved spatial resolution, and correction for the geometric distortion of the field of view. We have equipped the IR Channel with the capability to read subarrays of 256 × 256, 128 × 128, and 64 × 64 pixels. This capability helps with data volume but, perhaps more importantly, enables shorter exposures. Since the IR Channel does not have a mechanical shutter (the detector reset serves to start an exposure), the minimum exposure time is the 3 to 4 second detector readout time when the entire detector is read out. Subarrays reduce this time approximately proportionally to their area. 4. Optical and Mechanical Design The WFC3 instrument started from the foundation of the returned hardware of the original WF/PC-1 instrument. Early on it was decided to design and fabricate a new optical bench rather than attempt to re-use the WF/PC-1 bench. However, the external enclosure and radiator were retained and reworked for WFC3. The physical layout captures the center of the HST field of view with a pickoff mirror (essentially identical to WF/PC-1 and WFPC2), passes the light past a Channel Select Mechanism (CSM) that either reflects the beam into the IR Channel or lets it pass unhindered into the UVIS channel. The UVIS channel has 388 MacKenty Figure 5. WFC3 Optical Assembly showing UVIS and IR light paths. the light fall onto an adjustable mirror (in tip, tilt, and piston) that steers the beam onto a mirror containing the correction for the HST spherical aberration. This design, and the actual corrector mechanism, are a close copy of the ACS WFC. The beam then transits the SOFA, shutter mechanism (copied from the ACS WFC shutter), and then enters the CCD detector enclosure (also copied from the ACS WFC design). With the CSM in the IR Channel position the beam is directed onto a fold mirror, then re-imaged using a pair of optics (one positioned on an identical tip-tilt-piston correction mechanism as used in the IR channel). The beam then enters a cold enclosure (−35C) that reduces both the cooling requirements of the IR detector and the internal background at infrared wavelengths. Within this enclosure it passes through a refractive corrector element (to remove the HST spherical aberration), a cold mask (for the HST pupil), and the infrared filter element. The detector is housed in a enclosure with heritage from the STIS and ACS detector enclosures. The use of a transmission correction for the spherical aberration has the decided advantage of making a clean pupil available for the cold mask. This design is both physically compact and minimizes oversizing of the cold mask (and thereby minimizes the resulting throughput loss). WFC3 makes considerable use of its attached dedicated thermal radiator. This is divided into two zones. The hot zone dumps heat from the electronics and reduces WFC3’s thermal load into the aft shroud of HST where the other science instruments are located. The cold zone provides the first stage of cooling for both the UVIS and IR detectors plus the IR cold enclosure. This is accomplished via a bank of 18 single-stage TEC units. 5. Instrument Status and Plans WFC3 is presently in the Integration and Test phase. The optical bench assembly and testing has been completed by Ball Aerospace and delivered to GSFC in early December 2002. The team is presently concentrating on getting the electronics and bench integrated into the enclosure at GSFC. Final selection of IR detectors, detector packaging and installation, system level thermal vacuum testing, and science calibration will be accomplished WFC3: Design, Status and Calibration Plans Figure 6. 389 Solid Model of WFC3 showing re-use of components. during the coming year. While at the time of the Calibration Workshop the SM4 mission was expected in April 2004, it is now rescheduled for early 2005. Acknowledgments. The WFC3 instrument is an ongoing effort of a large and talented team of people. Additional information may be obtained from the World Wide Web sites at GSFC (http://wfc3.gsfc.nasa.gov) and at STScI (http://www.stsci.edu/instruments/wfc3/). A more detailed discussion of WFC3 (and its anticipated performance as of August 2002) is available in the WFC3 Mini-Handbook (http://www.stsci.edu/instruments/wfc3/wfc3docs.html). 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Calibration Status of the Cosmic Origins Spectrograph Detectors Steven V. Penton, Stéphane Béland, and Erik Wilkinson Center for Astrophysics and Space Astronomy, University of Colorado, Boulder, CO 80309 Abstract. COS has two distinct ultraviolet channels covering the spectral range from 1150Å to 3200Å. The NUV channel covers the range from 1700Å to 3200Å and uses the Hubble Space Telescopes STIS spare MAMA. The FUV channel uses a micro channel plate detector with a cross-delay line readout system to cover the range from 1150Å to 1900Å. Due to the analog nature of the readout electronics of the FUV detector, this system is sensitive to temperature variations and has nonuniform pixel size across its sensitive area. We present a step-by-step description of the calibration process required to transform raw data from the COS into fully corrected and calibrated spectra ready for scientific analysis. Initial simulated raw COS data is used to demonstrate the calibration process. 1. Introduction During the HST servicing mission currently scheduled for Spring 2005 (SM4), the Cosmic Origins Spectrograph (COS, Sembach 2002) is scheduled to be installed in the science bay currently occupied by COSTAR. COS contains two ultra-violet (uv) channels, which share two common 2.5 diameter apertures (the primary science aperture, PSA, and the 1% transmission bright object aperture, BOA). The far uv (FUV, 1150–1900 Å) and the near uv (NUV, 1700–3200 Å) channels employ independent detectors but cannot be operated simultaneously. The one-bounce COS FUV channel uses holographic gratings to simultaneously disperse and correct the aberrated HST beam onto a two segment cross-delay line microchannel plate (MCP) similar to that flown on FUSE. The NUV channel uses a fourbounce optical path to disperse and correct the HST beam into three non-contiguous strips on a spare STIS MAMA detector. In this brief update on the calibration status of COS, we discuss the progress of the COS detector calibrations. 2. The FUV channel The two FUV segments, ‘A’ and ‘B’, employ time-delay anodes in both the dispersion (‘X ’) and cross-dispersion (‘Y ’) directions. The anodes are used in conjunction with 85 × 10 mm MCP stacks (McPhate et al. 2000). The detectors do not have physical pixels, instead the time-delay detector represents the event location as an analog value. Each detector segment is represented ∼ 14, 000 × 400 digital elements (DEs). The physical ‘size’ represented by each DE is variable across the detector. The background count rate is low, ∼ 2 counts DE−1 month−1 . The FUV detector deadtimes are well characterized, and are < 10% at 10,000 counts s−1 . In this section, we will discuss the known distortions and the ground calibrations employed to correct them (Vallerga et al. 2001). Unless otherwise stated, the values discussed here are those for the ‘A’ segment of the ‘FUV01’ detector. 390 Calibration Status of the Cosmic Origins Spectrograph Detectors 2.1. 391 Thermal Distortions The mapping function from reported photon location to DE value is temperature dependent. The thermal distortions, introduced prior to digitization, are well characterized as a combination of a shift and stretch of the position to pixel value mapping. Electronic stim pulses, representing events at fixed locations, are injected into the detector electronics and digitized as if actual photon events. The electronic stim pulses appear in the photon list at positions to the lower left and upper right of the MCP active area. To correct the photon list for thermal distortions, the lower left stim pulse position, and with it the rest of the photon list, is adjusted to a predetermined baseline position. The photon list is then stretched or compressed to force the upper right stim pulse position to fall at its baseline position. Results from the testing with the available ground flat field data (§2.3) suggest that this algorithm is more than sufficient for correcting the expected thermal distortions. 2.2. Geometric Distortion As described in detail in Wilkinson, et al. 2001 and Béland et al. 2002, the mapping function from physical photon location on the FUV detector to analog DE value is not a straightforward linear mapping. Distortions in the FUV readout electronics and MCPs result in DEs of variable size. A typical row of the segment ‘A’ shows uncorrected DE sizes of 5.96 ± 0.01µm × 24.2 ± 0.1µm. To determine the geometric distortion correction (GDC), also referred to as the integral non-linearity (INL), an opaque mask with a regularly spaced grid of pinholes was imaged by the detectors. By comparing the known physical centers of the pinholes to their digital values, the GDC is determined for each segment. Since the DEs well sample the resolution element (RE, ≈ 6 × 12 DE), the physical size of the DEs can be forced to be a constant size of 6.0 × 24.0µm without affecting the scientific value (wavelength, resolution, etc.) of the detected events. The GDC is determined with thermally corrected data, and the correction is always applied after thermal correction. An opaque mask of slits was also imaged during ground testing, providing an independent method of determining the accuracy of the GDC. The GDC was applied to the measured position of the slits, and the known physical X position of the slits was then compared to the GDC corrected positions. These residuals show a Gaussian distribution with a residual error (1σ) of < 0.5 DE in the dispersion direction, corresponding to ∼ 1/12 of a RE. 2.3. Flat Fields During ground testing, 114 flat field images were obtained for each segment. These flat fields were thermally and geometrically corrected, then combined into deep flat fields (DFF) images. Each DFF contains ∼ 109 photons, with a mean number of counts RE−1 of ∼ 10000. These combined flat fields contain information on both the illumination of the detectors, the L-flat, and the DE-to-DE variations, the D-flat (or more traditionally, the P -flat). To separate the L and D-flats from the DFF, for each column (Y ), the DFF was smoothed in the X direction, then a low-order polynomial function approximating the illumination pattern was fit along each column. The L-flat was constructed from the least-squares fits (assuming Poisson statistics), then the D-flat was derived by dividing the DFF by the Lflat. The signal-to-noise ratio, S/N , of the DFFs are ∼ 100 RE−1 . A portion of the ‘A’ segment D-flat is shown in Figure 1. In this figure, the intensity scale has been modified to show the variations, the actual variations are Gaussian with a width of 5%. This implies that the flat-field variations must be removed to achieve COS FUV data with S/N > 20. To test the quality of the flats, the original flat field images were randomly selected to create two independent DFFs for each segment. Each DFF was divided by the appropriate L-flat and D-flat to create two independent flatfielded test images. A 12 DE (Y ) strip, shown in Figure 1, was extracted from each test image. The strips were collapsed per RE to form a spectrum following the same algorithm used for a spectral extraction. The two S/N ∼ 70 RE−1 spectra were then divided to test the quality of the combined thermal, geometric, and 392 Penton, Béland, & Wilkinson Figure 1. D-flat for a small section of the FUV segment ‘A.’ The intensity scale of the image has been modified to show variations. The actual variations are Gaussian with a width of ≈ 5% (S/N ≈ 20). The dashed lines indicate the 12 DE (Y) strip used to extract the simulated ’spectrum.’ Figure 2. The DFF data set was divided into two independent data sets, each corrected for thermal, geometric, and flat field distortions. A strip of each test image was extracted as if a science spectrum. The ‘spectra’ were divided, with the above distribution indicating that COS FUV observations of S/N = 50 are achievable (or S/N = 100 if using FP-SPLIT = 4). flat field extraction. The results of this test are shown in Figure 2. The resulting distribution is Gaussian with a width implying a final S/N of≈ 50. This is indeed the expectation for two data sets limited only by Poisson statistics, (1/70)2 + (1/70)2 ≈ 1/50. The data set was then dithered to approximate a FPSPLIT = 4 algorithm, with the expected result of √ a S/N = 4 × 50 = 100 extraction. COS contains an on-board flatfield lamp, which will be used on-orbit to achieve S/N ≥ 70 RE−1 flatfields for the regions of the COS detector employed for obtaining scientific data. 2.4. Wavelength Accuracy The limiting factor in wavelength accuracy is the ability to center targets in the aperture during target acquisition (TA). The COS TA algorithms have been tested with ray-trace simulations (Penton, 2001), and will be able to center the target in the aperture to within 0.1. This corresponds to a 3σ wavelength velocity error of less than 10 km s−1 for the FUV medium resolution gratings (64 km s−1 for the low resolution). 3. The NUV channel The NUV detector is a STIS spare 1k ×1k NUV MAMA, which has 25×25µm pixels defined by physical structures in the anode. The thermal and geometric distortions of NUV detector are small, and will not require monitoring, calibration, or correction. Based upon ground measurements, and in-flight performance of the STIS MAMAs, the background count rate is expected to be ∼ 34 counts s−1 cm−2 or 1.3 counts hour−1 pixel−1 . Following a flat-field procedure similar to that of the FUV channel, the measured NUV P-flat pixel distribution is Gaussian with a width of 0.044 (S/N ∼ 20 pixel−1 ). Extracting a spectral region gives a Calibration Status of the Cosmic Origins Spectrograph Detectors 393 Gaussian distribution with a S/N ∼ 50 RE−1 , or S/N ∼ 100 RE−1 for an FPSPLIT = 4 observation. Like the FUV channel, on-orbit NUV flat fields will be used for calibrating HST +COS NUV data. NUV wavelength accuracy is also limited by the TA centering accuracy. Simulations (Penton, 2001) indicate that the TA introduced 3σ wavelength error for medium resolution NUV observations should be < 19 km s−1 (200 km s−1 for low resolution). 4. Conclusions Ground-based calibration data, combined with extensive modelling using our current understanding of the COS detectors and optical system, indicate that S/N of 100 observations should be possible with both COS channels. On-going calibrations are on schedule to provide the highest quality data with HST +COS. Some calibrations, such as measuring the sensitivity function, can only be performed on-orbit. More information on COS can be found at http://cos.colorado.edu and http://www.stsci.edu/instruments/cos. This work was supported by the HST COS project (NAS5-98043). References Béland, S., Penton, S. V., & Wilkinson, E., 2002, Proc. SPIE, in press, 2002 Sembach, K. R., et al. 2002, in COS Instrument Mini-Handbook, version 1.0, (Baltimore: STScI), available at http://www.stsci.edu/instruments/cos/cos docs.html. McPhate, J. B., Siegmund, O. H., Gaines, G., Vallerga, J. H., & Hull, J., 2000, The COS FUV Detector, Proc. SPIE 4139, 25 Morse, J. A., et al. 1998, Performance overview and science goals of COS for HST, Proc. SPIE 3356, 361, (also see COS-01-0001, available at http://cos-arl.colorado.edu/OP01/) Penton, S. V. 2000, TAACOS: Phase I FUV Report, COS Internal Document, COS-0110016, available at http://cos-arl.colorado.edu/TAACOS/ Penton, S. V. 2001, TAACOS: Phase I NUV Report, COS Internal Document, COS-0110024, available at http://cos-arl.colorado.edu/TAACOS/ Vallerga, J. V., McPhate, J. B., Martin, A. P., Gaines, G. A., Siegmund, O. H., Wilkinson, E., Penton, S. V., & Béland, Stéphane, 2001, Proc. SPIE 4498, 141 Wilkinson, E. 2002, COS Calibration Requirements and Procedures, COS Internal Document, COS-01-0003, available at http://cos-arl.colorado.edu/AV03/ Wilkinson, E., Penton, S. V., Béland, S., Vallerga, J. V., McPhate, J., & Sahnow, D. J. 2001, Proc. SPIE, 4498, 267 2002 HST Calibration Workshop Space Telescope Science Institute, 2002 S. Arribas, A. Koekemoer, and B. Whitmore, eds. Coronagraphic Imaging: Keck II AO and HST ACS Compared Paul Kalas1 Astronomy Department, University of California, Berkeley, CA 94720 David Le Mignant W. M. Keck Observatory, Kamuela, HI 96743 Franck Marchis1 and James R. Graham1 Astronomy Department, University of California, Berkeley, CA 94720 Abstract. Coronagraphic imaging reduces PSF wings by 0.6 mag using Keck adaptive optics in the NIR, and 1.5 mag using ACS in the visible. The PSF suppression attained is roughly comparable for the two instruments. Future work should test the relative contrast gains from PSF subtractions. 1. Introduction High contrast imaging is necessary to search for and study sub-stellar objects and debris disks surrounding bright stars. Here we compare the performance of coronagraphs used with ground-based adaptive optics (AO) systems to those implemented in HST science cameras. The following data are used in the present investigation: 1. With Keck II (10 m) AO, we used the coronagraphic mode of the NIRC2 science camera (1024 × 1024 InSb array). NIRC2 has 10 focal plane occulting spots between 100 mas and 2000 mas diameter, five selectable pupil plane stops, and three selectable plate scales. The V = 8.8 star HD 162052 was observed at K , with a 300 mas focal plane mask, a pupil plane mask matched to the telescope pupil (large hexagonal), 120 sec cumulative integration time, and with 0.01/pix plate scale. Measured Strehl ratios are S∼50%. 2. For HST ACS, we adopted the performance specifications for the F606W filter given in the ACS Instrument Handbook for Cycle 12 Version 3.0. John Krist also supplied us with the F606W coronagraphic images of Arcturus shown in Chapter 5 of the ACS Instrument Handbook (offspot and onspot, with the High Resolution Channel Lyot mechanism in place). 2. PSF Differences In general, PSFs have static and temporal characteristics, and are composed of both scattered light (the seeing halo) and diffracted light (the Airy disk). The encircled energies of the Keck AO and the HST ACS data are shown in Figure 1. Keck AO produces near 1 Center for Adaptive Optics, University of California, Santa Cruz, CA 95064 394 Coronagraphic Imaging: Keck II AO and HST ACS Compared 395 Encircled Energy (normalized to 1.0 at 1.2 arcsec) 1 0.9 0.8 0.7 0.6 0.5 0.4 HST ACS offspot Keck NIRC2 offspot 0.3 0.2 0 0.2 0.4 0.6 Radius (arcsec) 0.8 1 1.2 Figure 1. Encircled energies for the stars used to test coronagraph performance, before occultation by a focal plane occulting mask. diffraction-limited central cores (FWHM = 54 mas), but the uncorrected atmosphere contributes a scattered seeing halo beyond 0.1 radius (2.5λ/D) that contains ∼40% of the light. A coronagraph should have the following effect on the PSF: • Light scattered into the seeing halo by the atmosphere or by the Optical Telescope Assembly (OTA) is not suppressed. • Scattered light within the science camera is suppressed because the PSF core is absorbed by the focal plane occulting mask. • Diffracted light due to the OTA is suppressed, depending on the sizes of the Lyot stop and the occulting spot. The larger the occulting spot, the more light is pushed to the edges of the pupil plane image, which is then masked by the Lyot stop. Based on these principles, the a priori expectation is that the ACS coronagraph will further diminish the intensity of the PSF wings shown in Figure 1 because the PSF is dominated by diffraction. Ground-based, AO coronagraphic data should demonstrate only modest improvement over a non-coronagraphic observations because the seeing halo is dominated by atmospheric scattered light. 3. Coronagraph Suppression Figure 2 is made by taking the median azimuthal value for each occulted PSF as a function of radius, and converting it to a relative magnitude based on the peak intensity of the star in an unocculted image. We find that the coronagraph suppresses the AO PSF wings by a median value of 0.6 mag in the range 0.2 − −1.2 radius. Thus the suppression of instrumental and diffracted light by the coronagraph gives a somewhat unexpected contrast 396 Kalas, et al. 0 Kalliope B (Marchis et al. 2002) 4 Relative Magnitude HST ACS F606W, offspot HST ACS F606W, 1800 mas spot Keck AO K', 300 mas spot Keck AO K', offspot Patroclus B (Merline et al. 2001) 2 6 Sylvia B (Brown & Margot 2001) 8 HR 7672 B (Liu et al. 2002) HR 4796A (Schneider et al. 1999) 10 Gl 86 B (Els et al 2001) 12 14 16 0 0.5 1 1.5 2 2.5 3 Radius (arcsec) Figure 2. Radial PSF intensity normalized relative to the peak intensity and converted to relative magnitude. Solid circles are sub-stellar objects, solid ellipses are circumstellar disks, and solid squares are asteroidal companions discovered by direct observations with AO systems at Lick, Gemini, and Keck. gain for AO images. The ACS coronagraph suppresses the PSF by a median value of 1.5 mag in the range 1.0 − −3.0 radius. Overall, the differences between HST and Keck when comparing the occulted (spot) or unocculted (offspot) PSFs are not significant. Clearly the region within 1 radius of the star is accessible with Keck AO, whereas the large size (radius 0.9) of the smallest ACS occulting spot prevents coronagraphic imaging of the sub-arcsecond region. Recently detected objects follow an envelope just above the PSF curves, indicating that, to first order, a simple radial plot of the PSF corresponds to detection limits. 4. Detectability Simulations Ultimately the sensitivity of HST and Keck should be tested by simulating the science objects and working through a variety of observing modes and data reductions (e.g., Kalas & Jewitt 1996, Schneider et al. 2001). A crucial step is subtraction of the PSFs shown in Figure 2 by either self-subtraction after a field roll, or by observing a nearby reference PSF contemporaneously. Because the Keck telescope has an alt-az mount that produces field rotation, we are presently testing the efficacy of roll deconvolution from the ground. For the present investigation, we merely insert a model dust disk into the coronagraphic PSFs without any further data reduction. The model disk is described in Kalas & Jewitt (1996). We fix the disk inclination (73◦ ), central hole radius (1 ) and peak surface brightness (12 mag arcsec−2 ), to correspond to the HST NICMOS image of HR 4796A (Schneider et al. 1999). The main difference is that the model has no fixed outer extent, whereas the real HR 4796A disk is a confined ring. Figure 3 shows that the ACS coronagraph would detect the dust scattered light if the disk were in fact extended rather than confined. In addition to detecting the outer disk, Keck AO reveals the central hole in the dust distribution. Coronagraphic Imaging: Keck II AO and HST ACS Compared 397 Figure 3. Model HR 4796-like disk inserted into the ACS occulted PSF at PA=135◦ (top) and into the Keck AO PSF at PA = 90◦ (bottom) . The normal PSF shows an azimuthally symmetric halo, whereas the distortion evident here is due to the circumstellar disk. Arrows designate the brightest portion of the disk within which a central disk hole is present. 5. Conclusions and Future Directions Coronagraphic imaging reduces the PSF wings by 0.6 mag using Keck AO in the NIR, and 1.5 mag using the ACS coronagraph in the visible. In circumstellar regions where these tests overlap, the occulted and unocculted PSF wings show roughly comparable sensitivity for Keck AO and HST. Ground-based AO has the advantage over HST ACS in imaging circumstellar regions within 1 radius. The HST NICMOS coronagraph has a smaller occulting spot than ACS, but imaging is still limited to ∼ 0.6 radius (Schneider et al. 1999). High-order AO systems will further improve the ground-based capability of imaging the sub-arcsecond circumstellar region (Sivaramakrishnan et al. 2001, Lloyd et al. 2001). The results shown here have a limited scope. Future work must test the sensitivity gains attained with PSF subtractions and longer integration times. Comparisons of ground-based AO to HST NICMOS and STIS coronagraphic data are also necessary. Acknowledgments. This work has been supported by the NSF Center for Adaptive Optics (managed by the University of California, Santa Cruz, under cooperative agreement AST-9876783), and AURA (award HST-GO-09475.01-A). References Brown, M. E. & Margot, J. L. 2001, IAUC 7588 Els, S. G., Sterzik, M. F., Marchis, F., Pantin, E., Endl, M. & Kuerster, 2001, A&A, 370, L1 Kalas, P. & Jewitt, D. 1996, AJ, 111, 1347 Liu, M. C., Fischer, D. A., Graham, J. R., Lloyd, J. P., Marcy, G. W., & Butler, R. P. 2002, ApJ, 571, L519 Lloyd, J. P., Graham, J. R., Kalas, P., et al. 2001, SPIE, 4490, 290 Marchis, F., Descamps, P. , Hestroffer, D., et al. 2002, submitted to Icarus Merline, E. J., Close, L. M., Siegler, N., et al. 2001, IAUC 7741 398 Kalas, et al. Pavlovsky, C., et al. 2002, ACS Instrument Handbook for Cycle 12 Version 3.0 (Baltimore: STScI) Schneider G., Becklin, E. E., Smith, B. A., Weinberger, A. J., Silverstone, M., & Heines, D. C. 2001, AJ, 121, 525 Schneider, G., Smith, B. A., Becklin, E. E., et al. 1999, ApJ, 513, L127 Sivaramakrishnan, A., Koresko, C. D., Makidon, R. B., Berkefeld, T., & Kuchner, M. J. 2001, ApJ, 552, 397 399 Author Index Alexov, A., 162, 176 Anderson, J., 13, 311 Argabright, V., 86 Arribas, S., 215, 263 Ayres, T. R., 171 Hill, R. J., 197 Hill, R. S., 148, 197 Hines, D. C., 259 Hodge, P., 97 Hook, R. N., 337 Barrett, P., 97 Béland, S., 390 Benedict, G. F., 373 Bergeron, L. E., 222, 263 Blakeslee, J. P., 3, 23, 65 Böker, T., 215, 222, 263 Bohlin, R. C., 3, 23, 31, 86, 97, 115, 189, 232 Bouwens, R. J., 65 Bowers, C. W., 127, 137, 148, 184, 197, 209 Brammer, G., 325, 329 Bristow, P., 162, 176 Brown, T. M., 97, 180, 189, 201 Bushouse, H., 271 Busko, I., 97, 205, 209 Illingworth, G. D., 3 Calzetti, D., 215, 232, 263 Casertano, S., 354 Cheng, E. S., 197 Clampin, M., 3, 65, 86 Collins, N. R., 184, 193 Cottingham, D. A., 197 Cox, C., 58, 65, 86 Davies, J. E., 97, 180, 201 de Marchi, G., 23, 31, 65, 86 Diaz-Miller, R. I., 97, 189 Dickinson, M., 215, 232, 263 Dolphin, A. E., 301 Dressel, L., 97 Ford, H. C., 3, 65, 86 Freudling, W., 241 Fruchter, A. S., 337 Gilliland, R. L., 3, 23, 31, 58, 61 Gonzaga, S., 341 Goudfrooij, P., 97, 105, 205 Grady, C. A., 137, 148 Graham, J. R., 394 Gull, T. R., 137, 148, 184, 197 Hack, W., 70, 337 Hartig, G. F., 3, 65, 86 Heap, S. R., 137 Heyer, I., 333, 341, 359 Jansen, R. A., 193 Jee, M. J., 82 Jefferys, W. H., 373 Johnson, S. D., 197 Kalas, P., 394 Karkoschka, E., 315 Kerber, F., 162, 176 Kim Quijano, J., 97, 189, 209 Kimble, R. A., 86, 105, 137, 197 King, I. R., 311 Kiziltan, B., 325 Koekemoer, A. M., 70, 291, 315, 325, 329, 337, 341, 354 Kozhurina-Platais, V., 341, 354 Krist, J., 3 Le Mignant, D., 394 Lindler, D., 65, 127, 137, 148, 184, 189, 197, 209 Lubin, L. M., 333, 341 Mack, J., 23, 31 MacKenty, J. W., 383 Maı́z-Apellániz, J., 97, 346 Makidon, R., 367 Malhotra, S., 215, 263 Malumuth, E. M., 137, 148, 197 Marchis, F., 394 Martel, A. R., 3, 65, 82, 86 Mazzuca, L., 215, 222, 263 McArthur, B., 373 McMaster, M., 350 Meurer, G. R., 3, 65, 86 Mobasher, B., 97, 201, 215, 263 Mutchler, M., 70 Nelan, E., 367, 373 Noll, K., 215, 263 Pasquali, A., 38, 74, 90 Pavlovsky, C., 31 Penton, S. V., 390 Pirzkal, N., 38, 74, 90 Plait, P., 137 400 Author Index Potter, M., 97 Proffitt, C. R., 97, 137, 189, 201, 205 Ratnatunga, K. U., 78 Richardson, M., 333 Rieke, M., 232 Riess, A., 47, 61 Rosa, M. R., 162, 176 Roye, E. W., 215, 263, 267 Sahu, K. C., 97, 189, 205 Schneider, G., 249 Schultz, A. B., 215, 263, 267, 271 Sirianni, M., 3, 31, 65, 82, 86 Sosey, M., 215, 222, 232, 263, 275 Sparks, W. B., 53, 82 Stys, D. J., 97, 205 Tennant, D., 148 Thompson, R. I., 241 Tran, H. D., 65, 86 Valenti, J., 97, 189, 209 van der Marel, R., 23 Van Orsow, D., 82 Walborn, N. R., 97, 205 Walsh, J. R., 38, 74, 90 Wen, Y., 197 Whitmore, B. C., 281, 329, 333, 341, 350, 359 Wiklind, T., 215, 263 Wilkinson, E., 390 Windhorst, R. A., 193 Woodgate, B. E., 137, 197 Xu, C., 215, 222, 263 401 Subject Index ACS papers begin on page 3, STIS papers begin on page 97, NICMOS papers begin on page 215, WFPC2 papers begin on page 281, and papers for other instruments begin on page 367. ACS slitless extraction software (aXe), 38, 74, 90 ACS/HRC, 3, 13, 23, 31, 38, 47, 53, 65, 90, 337 ACS/SBC, 3, 31, 38, 53, 65, 86, 337 ACS/WFC, 3, 13, 23, 31, 38, 47, 53, 58, 61, 65, 70, 74, 78, 82, 90, 337 ampglow, 97, 222 anneal, 3, 47 anomalies image, 3, 180, 267 instrument, 97, 193 aperture corrections, 61, 201, 232 aperture location, 97, 137, 329, 373 aperture photometry ACS, 23, 31, 47, 61 STIS, 105, 201 WFPC2, 281, 301, 333, 346, 359 astrometry ACS, 13, 53, 58, 65 FGS, 367, 373 WFPC2, 281, 291, 311, 329, 354 background astronomical, 249, 301, 325, 359 instrument, 3, 97, 180, 193, 271, 367 bad pixels, 189, 222 bias, 82, 222 breathing, 184, 281 calacs, 23, 31, 53, 58, 65, 70, 82 calfos, 162 calibration plan, 263, 291 calnica, 275 calnicb, 271, 275 calstis, 97, 127, 180, 184, 209 charge transfer efficiency (CTE) ACS, 3, 47 STIS, 97, 105, 115, 176, 205 WFPC2, 281, 291, 301, 350, 359 charge transfer traps, 47, 97, 176, 301 chip-to-chip normalization, 13, 23, 82 contamination, 86, 127, 281, 341, 350 coronagraphy, 3, 137, 249, 394 COS, 390 cosmic rays, 47, 58, 78, 325 cross-dispersion profile, 184 dark, 86, 97, 162, 180, 189, 222, 367 dark generator, 275 decontamination, 281, 291, 350 detector quantum efficiency, 3, 31, 61, 127, 222 dither, 47, 53, 70, 281, 311, 325 drizzle, 53, 70, 281, 325, 337 echelle, 97, 127 Exposure Time Calculator (ETC), 275 FGS, 281, 329, 367, 373 field distortion, 13, 58, 65, 78 flat generator, 275 flatfield, 341 ACS, 23, 53, 74 COS, 390 STIS, 162, 189 WFPC2, 281, 315 focus, 184, 267, 281, 373 FOS, 162 fringing, 90, 148, 197 geometric distortion ACS, 13, 53, 58, 65, 78 COS, 390 STIS, 162 WFPC2, 281, 311, 325, 354 grating efficiency, 127 hot pixels, 3, 47, 222 HST-phot, 301, 333, 346 image quality, 3, 86, 267 image registration, 58, 78, 311, 325, 329, 354 imaging ACS, 3, 58, 70, 78, 86 NICMOS, 249, 267, 271 STIS, 97, 180, 193, 201 WFC3, 383 WFPC2, 291, 311, 337, 341, 354 infrared (IR), 215, 249, 259, 263, 267, 383 instrument design, 383 Interactive Data Language (IDL), 193 intrapixel sensitivity, 13 line spread function (LSF), 148, 184 long vs. short anomaly, 281, 301, 359 mosaicing, 271, 325 402 Subject Index MultiDrizzle, 53, 70, 325, 337 narrow band imaging, 90, 315 narrow band photometry, 90 NCS, 215, 222 NICMOS/NIC1, 215, 222, 232, 259, 263, 267, 271, 337 NICMOS/NIC2, 215, 222, 232, 249, 259, 263, 267, 271, 337 NICMOS/NIC3, 215, 222, 232, 241, 263, 267, 271, 337 NICMOSlook, 215, 241 optical field angle distortion (OFAD), 373 parallel observing, 193, 271 persistence, 222 photometric monitor, 291, 341 photometric transformations, 281, 301, 333 photometric zeropoint ACS, 31, 61 NICMOS, 232 STIS, 162 WFPC2, 281, 291, 333 photometry ACS, 23, 31, 47, 61 FGS, 367 NICMOS, 232 STIS, 105, 184 WFPC2, 281, 301, 315, 329, 333, 346, 350, 359 plate scale, 13, 58, 311, 373 point spread function (PSF) ACS, 3, 13, 31, 58, 61, 86, 394 KECK, 394 NICMOS, 249, 267 STIS, 137, 148 WFPC2, 281, 301, 311, 341, 354 polarimetry, 259 preflash, 359 pydrizzle, 53, 70, 325, 337 PYRAF, 53, 70, 325, 337 read noise, 3, 97, 180, 193, 222 red leaks, 350 repeller wire, 86, 189 saturated data, 346 scattered light, 3, 61, 97, 209 sensitivity ACS, 3, 31, 47, 61, 86 STIS, 97, 105, 115, 127, 201, 205 WFPC2, 333, 359 servicing mission, 281, 329, 341, 350, 373 shading, 222 sky subtraction, 301, 325, 359 slitless spectroscopy ACS, 3, 38, 74, 90 NICMOS, 241 STIS, 97, 197 WFC3, 383 spectroscopy COS, 390 STIS, 97, 115, 148, 162, 171, 180, 189, 193, 197, 201, 209 STIS/CCD, 97, 105, 115, 137, 148, 162, 176, 180, 193, 197, 201, 205, 346 STIS/FUV-MAMA, 97, 115, 127, 162, 171, 189, 201, 205, 209 STIS/NUV-MAMA, 97, 115, 127, 162, 189, 201, 205, 209, 390 STSDAS, 53, 70, 97, 105 surface photometry, 82 SYNPHOT, 97, 281, 333, 350 throughput ACS, 3, 31, 47, 61 NICMOS, 241 STIS, 115, 201 WFPC2, 315, 341 uv throughput, 86, 201, 281, 341, 350 velocity aberration, 58 vignetting, 3, 315 wavelength dispersion solution ACS, 38 COS, 390 NICMOS, 241 STIS, 127, 162, 171, 184 WFC3/IR, 383 WFC3/UVIS, 197, 383 WFPC2, 281, 291, 301, 311, 315, 325, 329, 333, 337, 341, 346, 350, 354, 359