The Effect of Crowding on the GSMT Stellar Populations Science Case Knut Olsen, Bob Blum (NOAO), François Rigaut (Gemini) GSMT SWG Presentation Hilo 2002 Motivation Studying galaxy formation through the star and chemical enrichment histories of galaxies requires precise photometry What sources contribute to random photometric error? •Photon statistics •Errors in PSF fitting •Crowding •The pitfalls of photometry with AO systems Modeling crowding effects Crowding introduces photometric error through luminosity fluctuations within a single resolution element of the telescope due to the unresolved stellar sources in that element. V I To calculate the effects of crowding on magnitudes and colors, we need only consider the Poisson statistics of the luminosity functions (e.g. Tonry & Schneider 1988) Issues: •characterizing resolution •luminosity range over which fluctuations are important For magnitudes: For colors: Simulations Artificial stellar populations and artificial star tests Overview: •3 simulations of LMC globular cluster NGC 1835, at seeing-limited, HST, and GSMT resolution •3 simulations of the center of M32, at resolution of Gemini+Hokupa’a, 8-m NGST, and GSMT •GSMT simulations of the Arches cluster and the bulge of M33 The Center of M32 30” 20” 20” Davidge et al. (2000) Krist (1999) 8-m NGST PSF F. Rigaut GSMT PSF ~0.”12 FWHM H&K 0.”032 J, 0.”057 K FWHM 0.”035 pixels 0.”009 J, 0.”015 K FWHM 0.”005 pixels Gemini N + Hokupa’a M32 Population: 10% 1 Gyr ([Fe/H]=0), 45% 5 Gyr ([Fe/H]=0), 45% 10 Gyr ([Fe/H]=-0.3); cent = 10.1 mag arcsec-2 Gemini+Hokupa’a •Photometry with DAOPHOT/ALLSTAR •Calibrated with Davidge et al. (2000) photometry •14500 artificial stars added, PSF rederived and photometry repeated •CMD and errors shown for 7.”4 < r < 13.”1 annulus centered on M32 •Crowding limit H,K~16.5 Crowding model DAOPHOT NGST •Artificial population •Photometry with DAOPHOT/ALLSTAR •Zero points adjusted to fit input magnitudes •CMD and errors shown for 7.”4 < r < 13.”1 annulus centered on M32 •Crowding limit J~20.5,K~19.5 0.”035 J, 0.”057 K 0.”07 J, 0.”057 K DAOPHOT GSMT •Artificial population •Photometry with DAOPHOT/ALLSTAR •Zero points adjusted to fit input magnitudes •CMD and errors shown for 7.”4 < r < 13.”1 annulus centered on M32 •Crowding limit J~23.5, K~22 0.”009J, 0.”015 K 0.”005 J, 0.”005 K DAOPHOT Beyond M32 100-m 30-m ++V,I 100-m J,K J,K Crowding error also measures completeness Girardi et al. (2000) tracks 0.1,1,2,5,8,10,14 Gyr [Fe/H]=-1.0, 0.0 K=19, V=22 mag arcsec-2 Conclusions •Crowding is likely the limiting factor for the stellar populations science •Analytical predictions are adequate for evaluating effects of crowding, but full understanding of photometry requires simulations •Realistic GSMT simulations need, at the very least, to include the effect of stars placed at sub-pixel positions •GSMT provides giant leap for stellar populations mainly through its resolution; how large does the Strehl need to be?