Wide Field Corrector On-sky Image Quality Prediction. March 18, 2015 (original) April 3, 2015 (revised) April 10, 2015 (revised)

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1 Wide Field Corrector On-sky Image Quality Prediction March 8, 05 (original) April 3, 05 (revised) April 0, 05 (revised)

2 Outline HET Image quality error budget & Other requirements Current knowledge of WFC mirror prescription & alignment state Prediction of the HET on-sky image quality & other requirements Summary

3 HET Image Quality Budget in EE50 [arcsec] Contribution Radial Field Position 0 arcmin.7 arcmin 5.4 arcmin 8. arcmin.0 arcmin WFC Nominal design WFC Mirror prescription WFC Alignment WFC assembly Mirror polishing/figuring WFC Thermal effect WFC internal mirror motion WFC Windows / ADC HET M HET Tracking error HET Facility HET Seeing RSS RSS without seeing HET Specification

4 HET on-sky performance prediction Contribution Radial Field Position 0 arcmin.7 arcmin 5.4 arcmin 8. arcmin.0 arcmin WFC Nominal design WFC Mirror prescription WFC Alignment WFC assembly These first three contributions are modeled in Zemax based on the current knowledge Mirror polishing/figuring of The WFC Thermal WFC effect mirror prescriptions The WFC alignment state due to the 6 possible cases from the conjugate test WFC internal mirror motion WFC Windows / ADC The rest of the contributions (including seeing) are summed to HET M the first three in RSS. HET Tracking error Then, the resultant EE50 across field has been compared to the HET specification. HET Facility HET Seeing RSS HET Specification

5 List of other requirements Metric Requirement Expectation PASS/FAIL Unit Effective focal length mm Focal ratio* Max. marginal ray angle Max. telecentric angle degrees degrees Max. distortion 0.0 % Un-vignetted portion of beam > 80 on-axis > 64 at edge % * Focal ratio is the paraxial focal ratio given by EFL / 0m pupil at on-axis. 5

6 Current knowledge of WFC Mirror Prescription Paramet er M4 M5 M M3 ACP Radius of Curvature [mm] Conic constant (0.045) (0.0004) (0.040) (0.05) (0.05) ( ) (0.0007) (0.0008) -- A [mm/ mm^] A4 [mm/ mm^4] A6 [mm/ mm^6] A8 [mm/ mm^8] A0 [mm/ mm^0]

7 Possible range of WFC System Alignment M4 M5 M M3 C A S E DX DY Rx [µrad] Ry [µrad] DZ DX DY Rx [µrad] Ry [µrad] DZ DX/ DY Rx/ Ry [µrad] DZ DX/ DY Rx/ Ry [µrad] DZ (6.7) (6.7) within (5.6) : Uncertainty in knowing the absolute values of Rx/Ry of M/M3. : Uncertainty in knowing the relative value of Rx/Ry between M and M3. within (76.7) (3.3) 6.0 (6.7) within (5.6) within (83.3) (3.3) 0.0 (6.7) 7

8 Field locations 6 scans across azimuth 9 field point along one scan arcmin = (3mm) 9

9 As-designed WFC spot diagram Circle diameter = arcsecond 0

10 T Y P E DX Case # (Expected HET EE50 diameter) M4/M5 Specification Terms used Weak est DY Rx Ry DX DY Rx Ry modei COM AST AST XY CRV (90-deg) (45-deg) pos nclud [µrad] [µrad] [µrad] [µrad] ed? R E L S Y S O O X O O O Horizontal Field scan (Case #) X scan 90.0% limit Spec Vertical Field scan (Case #) Y scan 90.0% limit Spec EE50 [arcsec].5 EE50 [arcsec] Field [arcmin] Field [arcmin]

11 Case # (Expected HET EE50 diameter)

12 Case #- 496 (Spot diagram) 3

13 T Y P E DX Case # (Expected HET EE50 diameter) M4/M5 Specification Terms used Weak est DY Rx Ry DX DY Rx Ry modei COM AST AST XY CRV (90-deg) (45-deg) pos nclud [µrad] [µrad] [µrad] [µrad] ed? R E L S Y S O X O X O O Horizontal Field scan (Case #) X scan 90.0% limit Spec Vertical Field scan (Case #) Y scan 90.0% limit Spec EE50 [arcsec].5 EE50 [arcsec] Field [arcmin] Field [arcmin]

14 Case # (Expected HET EE50 diameter) 5

15 Case # 95 (Spot diagram) 6

16 T Y P E DX Case #3 (Expected HET EE50 diameter) M4/M5 Specification Terms used Weak est DY Rx Ry DX DY Rx Ry modei COM AST AST XY CRV (90-deg) (45-deg) pos nclud [µrad] [µrad] [µrad] [µrad] ed? R E L S Y S O O X O O X Horizontal Field scan (Case #3) X scan 90.0% limit Spec Vertical Field scan (Case #3) Y scan 90.0% limit Spec EE50 [arcsec].5 EE50 [arcsec] Field [arcmin] Field [arcmin]

17 Case #3 (Expected HET EE50 diameter) 8

18 Case #3 497 (Spot diagram) 9

19 T Y P E DX Case #4 (Expected HET EE50 diameter) M4/M5 Specification Terms used Weak est DY Rx Ry DX DY Rx Ry modei COM AST AST XY CRV (90-deg) (45-deg) pos nclud [µrad] [µrad] [µrad] [µrad] ed? R E L S Y S O O X X O O Horizontal Field scan (Case #4) X scan 90.0% limit Spec Vertical Field scan (Case #4) Y scan 90.0% limit Spec EE50 [arcsec].5 EE50 [arcsec] Field [arcmin] Field [arcmin]

20 Case #4 (Expected HET EE50 diameter)

21 Case #4 6 (Spot diagram)

22 T Y P E DX Case #5 (Expected HET EE50 diameter) M4/M5 Specification Terms used Weak est DY Rx Ry DX DY Rx Ry modei COM AST AST XY CRV (90-deg) (45-deg) pos nclud [µrad] [µrad] [µrad] [µrad] ed? R E L S Y S O O O O O O Horizontal Field scan (Case #5) X scan 90.0% limit Spec Vertical Field scan (Case #5) Y scan 90.0% limit Spec EE50 [arcsec].5 EE50 [arcsec] Field [arcmin] Field [arcmin]

23 Case #5 (Expected HET EE50 diameter) 4

24 Case #5 499 (Spot diagram) 5

25 T Y P E DX Case #6 (Expected HET EE50 diameter) M4/M5 Specification Terms used Weak est DY Rx Ry DX DY Rx Ry modei COM AST AST XY CRV (90-deg) (45-deg) pos nclud [µrad] [µrad] [µrad] [µrad] ed? R E L S Y S O O O O O X Horizontal Field scan (Case #6) X scan 90.0% limit Spec Vertical Field scan (Case #6) Y scan 90.0% limit Spec EE50 [arcsec].5 EE50 [arcsec] Field [arcmin] Field [arcmin]

26 Case #6 (Expected HET EE50 diameter) 7

27 Case #6 5 (Spot diagram) 8

28 All cases 9

29 Other requirements (for all cases) Metric Requirement Expectation PASS/FAIL Unit Effective focal length PASS mm Focal ratio* PASS -- Max. marginal ray angle Max. telecentric angle ACCEPTABLE degrees PASS degrees Max. distortion 0.0 < PASS % Un-vignetted portion of beam > 80 on-axis > 64 at edge > 80 on-axis > 64 at edge PASS % * Focal ratio is the paraxial focal ratio given by EFL / 0m pupil at on-axis. 30

30 Summary 5 out of 6 possibilities are within the specification. Laser tracker / Center reference data favor other cases againt Case. Case would require substantial amount of focal surface tilt to compensate the image quality. However, this would result in the WFC system that severely violates the telecentric angle requirements. Astigmatism remains unchanged after FPA tilt, resulting in elongated / asymmetric PSF shape à Guiding issue (to be addressed in the next presentation). Other requirements appear to meet the specifications. These requirements are fundamentally dependent on the WFC system prescriptions (mirror prescriptions + axial positions). Lateral misalignment (decenter / tilt) has negligible influence on these parameters. On-sky image quality verification & compensation plan is presented in the next. 3

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