Some General Considerations on Wide Field Telescopes

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Some General Considerations on

Wide Field Telescopes

Dirk Soltau

Kiepenheuer-Institut für Sonnenphysik

1

Synoptic Network Workshop, Boulder 22.-24.4.2013

Basic assumptions and immediate conclusions

Detector size: 4k x 4 k pixels, 5 µm pixel size

Field of view:  0.7°  2500 arcsec

 pixelscale = 0.6 arcsec

 image scale = 120 arcsec/mm

 focal length = 1720 mm

2

Synoptic Network Workshop, Boulder 22.-24.4.2013

Diameter

  resolution according to sampling theorem: 1.2 arcsec =

5.8 µrad

  D = 1.22 λ / 5.8E-6

  minimum Diameter w.r.t resolution = 0.1 m

3

Synoptic Network Workshop, Boulder 22.-24.4.2013

Bandwidth, SNR

Assumed bandwidth: 0.005 nm ( 50 mÅ)

Assumed Exposure time: 0.005 s

F Ret

PBS

Sun Telescope

Cam1

4

Synoptic Network Workshop, Boulder 22.-24.4.2013

Cam2

Counts and SNR

Aperture wavelength

 λ = 5 pm

0.1 m

0.5 m

400 nm

400 nm

1.0 m

0.1 m

400 nm

630 nm

0.5 m

1.0 m

630 nm

630 nm

Heat load Photoelect rons

10 W

200W

4500

110000

1000 W

10 W

200W

1000 W

450000

9000

230000

900000

SNR

70

350

670

100

480

950

5

Diameter should exceed 0,5 m

 f/# < f/3.5

Synoptic Network Workshop, Boulder 22.-24.4.2013

Mounting (common instrument platform)

May be we need different instruments for different SNR requirements (Polarimetry vs. imaging)

 Several instruments on one platform may be a solution

6

Synoptic Network Workshop, Boulder 22.-24.4.2013

Image Motion and Noise

7

2 pixel

1 pixel

0.1 m

0.1 m

1 m

1 m

Sun = 10 4 isoplanatic patches  Average seeing induced image motion of the whole disk will be around 0.01 pixel

Time constant

1 m

0.1 m

8

Synoptic Network Workshop, Boulder 22.-24.4.2013

Image motion: Effect on image subtraction

= Example: shift by 0.1 pixel  10 -2 noise

9

 Image stabilization needed, dual beam polarimetry desirable

Synoptic Network Workshop, Boulder 22.-24.4.2013

Image stabilization?

Main cause probably instrumental:

 spatial dimensions: 1m  1 arcsec corresp. 5 µm

Limb sensor vs. Correlation tracker

Tiptilt mirror

 relay optics?

 Solar Orbiter (PHI) concept?

10

Synoptic Network Workshop, Boulder 22.-24.4.2013

Optical Design Options

 Design driving parameters:

Detector

SNR @ typical exposure time

11

Synoptic Network Workshop, Boulder 22.-24.4.2013

Refractor

 Good performance, limited diameter

12

Example: Chrotel (KIS)

Synoptic Network Workshop, Boulder 22.-24.4.2013

Example: Maksutov

D = 200 mm, FOV = 0.5 deg

13

X Z

Y

M A K S U T O V , D = 2 0 0 m m , f / 1 0

2 1 .

0 4 .

2 0 1 3

3 D L a y o u t

D . S o l t a u

KIS

M a k s u t o v .

Z M X

C o n f i g u r a t i o n 1 o f 1

-

+ Potential for evacuation

Synoptic Network Workshop, Boulder 22.-24.4.2013

0 . 0 0 0 0 ( d e g )

0 . 2 5 0 0 ( d e g )

0 . 8

0 . 7

0 . 6

0 . 5

1 . 0

0 . 9

0 . 2

0 . 1

0 . 4

0 . 3

0 . 0

0 2 4 6 8

R a d i u s F r o m C e n t r o i d i n µ m

G e o m e t r i c E n c i r c l e d E n e r g y

M A K S U T O V , D = 2 0 0 m m , f / 1 0

2 1 .

0 4 .

2 0 1 3

W a v e l e n g t h : P o l y c h r o m a t i c

D a t a h a s b e e n s c a l e d b y d i f f r a c t i o n l i m i t .

S u r f a c e : I m a g e

C o

D . S o l t a u

KIS

M a k s u t o v .

Z M X n f i g u r a t i o n 1 o f 1

10 µm

Example: Ritchey-Chretien Cassegrain

D = 600 mm, FOV = 0.5 deg

Y

X Z

3 D L a y o u t

R i t c h e y C h r e t i e n w i t h f = 1 9 0 0 m m , D = 6 0 0 m m

2 1 .

0 4 .

2 0 1 3

14

- 0 . 2 0 0 0 , 0 . 2 0 0 0 ( d e g )

0 . 0 0 0 0 , 0 . 2 8 0 0 ( d e g )

0 . 2 0 0 0 , 0 . 2 0 0 0 ( d e g )

- 0 . 2 8 0 0 , 0 . 0 0 0 0 ( d e g )

0 . 0 0 0 0 , 0 . 0 0 0 0 ( d e g )

0 . 2 8 0 0 , 0 . 0 0 0 0 ( d e g )

- 0 . 2 0 0 0 , - 0 . 2 0 0 0 ( d e g )

0 . 0 0 0 0 , - 0 . 2 8 0 0 ( d e g )

0 . 2 0 0 0 , - 0 . 2 0 0 0 ( d e g )

1 . 0

0 . 9

0 . 8

0 . 7

0 . 6

0 . 5

0 . 4

0 . 3

0 . 2

0 . 1

0 . 0

0 2 4 6 8

R a d i u s F r o m C e n t r o i d i n µ m

G e o m e t r i c E n c i r c l e d E n e r g y

R i t c h e y C h r e t i e n w i t h f = 1 9 0 0 m m , D = 6 0 0 m m

2 1 .

0 4 .

2 0 1 3

W a v e l e n g t h : P o l y c h r o m a t i c

D a t a h a s b e e n s c a l e d b y d i f f r a c t i o n l i m i t .

S u r f a c e : I m a g e

D . S o l t a u

KIS

D i r k s R C _ 0 3 .

Z M X

C o n f i g u r a t i o n 1 o f 1

D . S o l t a u

KIS

D i r k s R C _ 0 3 .

Z M X

C o n f i g u r a t i o n 1 o f 1

-Might need a field corrector if larger

-needs baffling (daylight blindness)

Synoptic Network Workshop, Boulder 22.-24.4.2013

Summary

Basic requirement: SNR

Image stabilization – if necessary – has large impact on the design

Diameter not determined by resolution arguments  telescope doesn‘t need to be diffraction limited

Evacuation should be considered (catadioptric system?)

Ritchey-Chretien promising. But false light counter measures necessary

15

Synoptic Network Workshop, Boulder 22.-24.4.2013

Photon electrons

Solar Spectral Irradiance from ASTM data in W/^m^2/nm 1,700 wavelength/nm 630,000 bandwidth/nm

Telescope aperture/m eff. focal length / m boxwidth FOV/arcsec

0,005

0,100

1,800

2000,000

Photon energy / J telescope area / m^2 input power/W output power w/o bandwidth e/W

Number of mirrors mirror reflectivity

Number of lenses windows lens transmission

0,000

0,900

4,000

0,900 telescope transmission image scale in arcsec/mm pixel scale in arcsec/pixel

FOV / mm

Power within bandwidth/W

Number of photons within bandwidth / arcsec^2 /s

16

Extra transmission atmospheric transmission exposure time/s

Pixel size / mm

0,250

0,800

0,005

0,005

Quantum efficiency 0,700

Synoptic Network Workshop, Boulder 22.-24.4.2013

Number of photons within bandwidth / pixel /s

Number of photon electrons within bandwidth / pixel /s

Number of photoelectrons

SNR

3,15E-19

7,85E-03

8,59E+00

5,64E+00

6,56E-01

1,15E+02

5,73E-01

1,75E+01

8,76E-06

9,61E+06

3,15E+06

2,21E+06

1,10E+04

1,05E+02

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