Post PDR Optical Design Study. Robert Barkhouser JHU/IDG January 6, 2014

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ARCTIC Post PDR Optical Design Study Robert Barkhouser JHU/IDG January 6, 2014 1

APO 3.5 m Telescope Model From Joe H. as part of f8v240 imager model. dl Note (1) curved focal surface and (2) limiting aperture (labeled instr mount in Zemax model). dl) 2 1 Y Y X Z X Z 2

APO 3.5 m Telescope Model The instr mount aperture in the Zemax model limits the unvignetted field of view (FOV) to 12 arcminutes in diameter. For the purposes of this study, this aperture will be removed from the model in order to demonstrate the full FOV that could be put onto the detector at the given f/#. 3

Spot Diagrams General Comments Spot diagrams in general will cover the full FOV of the detector in a 3 x 3 grid. Due to axial symmetry most of the spots are redundant but it helps to visualize the image quality as a function of location in the focal plane. The exception to the above are spot diagrams for the telescope alone; for these the spots cover field angles of 0, 2, 4, 6, and 8. The size of the bounding circle will be 1 for all spot diagrams shown, to maintain a consistent angular scale for comparison. 4

APO 3.5 m Spot Sizes Curved Focal Surface Spot sizes for the 3.5 m alone, assuming a best fit spherical focal surface. This is the optical design residual only; no fabrication or collimation errors are included. Field angles shown are for 0, 2, 4, 6, and 8. With a curved focal surface, the telescope design delivers excellent image quality well beyond the 16 diameter FOV represented here. OBJ: 0.0000, 0.0000 (deg) 170.80 IMA: -0.000, -0.000 mm OBJ: 0.0000, 0.1000 (deg) IMA: -0.000, 61.489 mm OBJ: 0.0000, 0.0667 (deg) IMA: 0.000, 40.996 mm Surface IMA: detector Spot Diagram APO 3.5-m 12/31/2013 Units are µm. Field : 1 2 3 4 5 RMS radius : 0.347 1.849 4.874 9.551 15.468 GEO radius : 0.465 5.250 13.158 20.606 32.375 Circle diam: 170.8 Reference : Centroid OBJ: 0.0000, 0.0333 (deg) IMA: -0.000, 20.499 mm OBJ: 0.0000, 0.1333 (deg) IMA: 0.000, 81.977 mm 0.4000 0.6000 0.8000 Johns Hopkins University Instrument Development Group Baltimore, Maryland APOImager_f8v240.ZMX Configuration 1 of 1 5

APO 3.5 m Spot Sizes Flat Focal Surface With a flat focal surface, the FOV is reduced over which the image quality is excellent. Here the telescope is focused for the on axis image; a compromise focus could be used to obtain a somewhat larger usable FOV. OBJ: 0.0000, 0.0000 (deg) 170.80 IMA: -0.000, -0.000 mm OBJ: 0.0000, 0.0667 (deg) OBJ: 0.0000, 0.0333 (deg) IMA: 0.000, 20.499 mm 0.4000 0.6000 0.8000 OBJ: 0.0000, 0.1000 (deg) OBJ: 0.0000, 0.1333 (deg) IMA: -0.000, 40.998 mm IMA: -0.000, 61.498 mm IMA: 0.000, 82.002 mm Surface IMA: detector Spot Diagram APO 3.5-m 12/31/2013 Units are µm. Field : 1 2 3 4 5 RMS radius : 0.347 5.393 21.652 48.623 84.631 GEO radius : 0.465 12.417 41.830 82.798 140.540 Circle diam: 170.8 Reference : Centroid Johns Hopkins University Instrument Development Group Baltimore, Maryland APOImager_f8v240.ZMX Configuration 1 of 1 6

PDR Optical Design (f8v240) 3 element, f/8 direct focal reducer Provides a 7.8 x 7.8 FOV. All elements are spherical, materials are Schott standard glasses. Chosen based on cost and good UV transmission: N SK16 (95.4% at 370 nm, 10 mm thk) N SK14 (97.1% at 370 nm, 10 mm thk) F2 (97.5% at 370 nm, 10 mm thk) Form factor and generous tolerances lead to a straightforward cell design. But this design suffers from a large amount of lateral color. Issue for astrometric accuracy? Y Z X 7

PDR Optical Design (f8v240) The design provides images well below 1 in RMS diameter but there is significant lateral color. OBJ: 0.0653, -0.0653 (deg) OBJ: 0.0000, -0.0653 (deg) OBJ: -0.0653, -0.0653 (deg) 0.4000 0.6000 0.8000 2.00 13 IMA: 30.399, -30.399 mm IMA: -0.000, -30.715 mm IMA: -30.399, -30.399 mm OBJ: 0.0653, 0.0000 (deg) OBJ: 0.0000, 0.0000 (deg) OBJ: -0.0653, 0.0000 (deg) IMA: 30.715, -0.000 mm IMA: -0.000, -0.000 mm IMA: -30.715, -0.000 mm OBJ: 0.0653, 0.0653 (deg) OBJ: 0.0000, 0.0653 (deg) OBJ: -0.0653, 0.0653 (deg) Surface IMA: detector IMA: 30.399, 30.399 mm IMA: 0.000, 30.715 mm IMA: -30.399, 30.399 mm Spot Diagram APO 3.5-m 1/6/2014 Units are µm. Field : 1 2 3 4 5 6 7 8 9 RMS radius : 14.801 10.878 14.801 10.878 3.132 10.878 14.801 10.878 14.801 GEO radius : 25.646 22.898 25.646 22.898 6.905 22.898 25.646 22.898 25.646 Circle diam: 132 Reference : Centroid Johns Hopkins University Instrument Development Group Baltimore, Maryland APOImager_f8v240.ZMX Configuration 1 of 1 8

3 Element, F/8 Variant #1 This variant on the original PDR design uses a very similar form factor but with different glasses. Provides the same 7.8 x 7.8 FOV but with better images. All elements are spherical, materials are three Ohara i Line glasses, which have enhanced UV transmission: PBM2Y (99.1% at 370 nm, 10 mm thk) S FPL51Y (99.8% at 370 nm, 10 mm thk) PBL26Y (99.7% at 370 nm, 10 mm thk) Optimized using the identical field angles and merit function as the original design. Y Z X 9

3 Element, F/8 Variant #1 This design provides significantly better images than the original design. OBJ: 0.0655, -0.0655 (deg) OBJ: 0.0000, -0.0655 (deg) OBJ: -0.0655, -0.0655 (deg) 0.4000 0.6000 0.8000 2.00 13 The Ohara i Line glasses are expensive but are high quality and have very good UV transmission. The increased material cost would still be quite low as a fraction of the overall cost of the optics. IMA: 30.353, -30.353 mm IMA: 0.000, -30.752 mm IMA: -30.353, -30.353 mm OBJ: 0.0655, 0.0000 (deg) OBJ: 0.0000, 0.0000 (deg) OBJ: -0.0655, 0.0000 (deg) IMA: 30.752, -0.000 mm IMA: -0.000, -0.000 mm IMA: -30.752, -0.000 mm OBJ: 0.0655, 0.0655 (deg) OBJ: 0.0000, 0.0655 (deg) OBJ: -0.0655, 0.0655 (deg) Surface IMA: detector IMA: 30.353, 30.353 mm IMA: -0.000, 30.752 mm IMA: -30.353, 30.353 mm Spot Diagram APO 3.5-m 1/6/2014 Units are µm. Field : 1 2 3 4 5 6 7 8 9 RMS radius : 7.115 5.333 7.115 5.333 3.551 5.333 7.115 5.333 7.115 GEO radius : 11.083 13.126 11.083 13.126 7.515 13.126 11.083 13.126 11.083 Circle diam: 132 Reference : Centroid Johns Hopkins University Instrument Development Group Baltimore, Maryland APOImager_f8v240_rhb_00_02_for_report.ZMX Configuration 1 of 1 10

3 Element, F/8 Variant #2 This variant on the original PDR design uses a field flattener lens with a plano surface very close to the CCD (3 mm). This is a common configuration (including the size of the gap) seen in many CCD cameras. Provides the same 7.8 x 7.8 FOV but with better images. All elements are spherical, materials are two Ohara i Line glasses (high UV transmission). L2 and L3 use the same glass: S FPL51Y (99.8% at 370 nm, 10 mm thk) PBL25Y (99.6% at 370 nm, 10 mm thk) Y X Z 11

3 Element, F/8 Variant #2 This design also provides significantly better images than the original design. There is a bit more lateral color off axis. OBJ: 0.0653, -0.0653 (deg) OBJ: 0.0000, -0.0653 (deg) OBJ: -0.0653, -0.0653 (deg) 0.4000 0.6000 0.8000 2.00 13 IMA: 30.464, -30.464 mm IMA: -0.000, -30.758 mm IMA: -30.464, -30.464 mm OBJ: 0.0653, 0.0000 (deg) OBJ: 0.0000, 0.0000 (deg) OBJ: -0.0653, 0.0000 (deg) IMA: 30.758, -0.000 mm IMA: 0.000, -0.000 mm IMA: -30.758, -0.000 mm OBJ: 0.0653, 0.0653 (deg) OBJ: 0.0000, 0.0653 (deg) OBJ: -0.0653, 0.0653 (deg) Surface IMA: detector IMA: 30.464, 30.464 mm IMA: -0.000, 30.758 mm IMA: -30.464, 30.464 mm Spot Diagram APO Imager 1/6/2014 Units are µm. Field : 1 2 3 4 5 6 7 8 9 RMS radius : 8.164 5.451 8.164 5.451 2.596 5.451 8.164 5.451 8.164 GEO radius : 17.859 11.002 17.859 11.002 3.971 11.002 17.859 11.002 17.859 Circle diam: 132 Reference : Centroid Johns Hopkins University Instrument Development Group Baltimore, Maryland APOImager_f8v240_rhb_01_02.ZMX Configuration 1 of 1 12

3 Element, F/7 Design This design uses a CaF 2 doublet along with a singlet to produce good images at f/7, providing a somewhat larger 8.9 x 8.9 FOV. Thisdoublet probablyrequiresrequires a fluid coupled cell (more involved optomechanical design) but does eliminate two air glass interfaces: Fewer potential ghost reflections Better overall throughput All elements are spherical, materials are CaF 2 (L2) and Ohara PBM2Y (L1, L3). CaF 2 has outstanding UV transmission and PBM2Y is 99.1% at 370 nm (10 mm thk). Y Z X 13

3 Element, F/7 Design This design provides good images with a faster f/7 focal ratio (larger FOV on detector). Note here that the diameter of the 1 bounding circle is reduced to 115.5 µm. OBJ: 0.0750, -0.0750 (deg) OBJ: 0.0000, -0.0750 (deg) OBJ: -0.0750, -0.0750 (deg) 0.4000 0.6000 0.8000 5.50 11 IMA: 30.315, -30.315 mm IMA: -0.000, -30.817 mm IMA: -30.315, -30.315 mm OBJ: 0.0750, 0.0000 (deg) OBJ: 0.0000, 0.0000 (deg) OBJ: -0.0750, 0.0000 (deg) It is likely that the previous f/8 designs could be pushed to f/7 as well, with somewhat degraded image quality. IMA: 30.817, -0.000 mm IMA: -0.000, 0.000 mm IMA: -30.817, -0.000 mm OBJ: 0.0750, 0.0750 (deg) OBJ: 0.0000, 0.0750 (deg) OBJ: -0.0750, 0.0750 (deg) Surface IMA: detector IMA: 30.315, 30.315 mm IMA: -0.000, 30.817 mm IMA: -30.315, 30.315 mm Spot Diagram APO Imager - f/7 Focal Reducer 1/6/2014 Units are µm. Field : 1 2 3 4 5 6 7 8 9 RMS radius : 9.882 8.770 9.882 8.770 4.693 8.770 9.882 8.770 9.882 GEO radius : 18.580 20.596 18.580 20.596 8.265 20.596 18.580 20.596 18.580 Circle diam: 115.5 Reference : Centroid Johns Hopkins University Instrument Development Group Baltimore, Maryland APOImager_FR_3lens_10_for_report.ZMX Configuration 1 of 1 14

4 Element, F/7 Design This design uses 4 elements in a single group to provide good images over the same FOV as the previous f/7 design which used 3 elements in 2 groups. This quadruplet probably requires a fluid coupled cell for the L1/L2 joint, but the others are not so steep. Only two air glass interfaces. All elements are spherical, materials are: PBL25Y (99.6% at 370 nm, 10 mm thk) CaF2 BAL35Y (99.6% at 370 nm, 10 mm thk) PBL6Y (99.8% at 370 nm, 10 mm thk) Y X Z 15

4 Element, F/7 Design This design provides similar image sizes over the same FOV as the 3 element, 2 group design. OBJ: 0.0750, -0.0750 (deg) OBJ: 0.0000, -0.0750 (deg) OBJ: -0.0750, -0.0750 (deg) 0.4000 0.6000 0.8000 5.50 11 IMA: 30.269, -30.269 mm IMA: -0.000, -31.314 mm IMA: -30.269, -30.269 mm OBJ: 0.0750, 0.0000 (deg) OBJ: 0.0000, 0.0000 (deg) OBJ: -0.0750, 0.0000 (deg) IMA: 31.314, 0.000 mm IMA: 0.000, 0.000 mm IMA: -31.314, 0.000 mm OBJ: 0.0750, 0.0750 (deg) OBJ: 0.0000, 0.0750 (deg) OBJ: -0.0750, 0.0750 (deg) Surface IMA: detector IMA: 30.269, 30.269 mm IMA: -0.000, 31.314 mm IMA: -30.269, 30.269 mm Spot Diagram APO Imager - f/7 Focal Reducer 1/6/2014 Units are µm. Field : 1 2 3 4 5 6 7 8 9 RMS radius : 11.243 9.157 11.243 9.157 2.133 9.157 11.243 9.157 11.243 GEO radius : 27.461 29.766 27.461 29.766 5.396 29.766 27.461 29.766 27.461 Circle diam: 115.5 Reference : Centroid Johns Hopkins University Instrument Development Group Baltimore, Maryland APOImager_FR_4lens_21.ZMX Configuration 1 of 1 16

F/6 Collimator/Camera Design Y FIELD LENS COLLIMATOR PUPIL IMAGE CAMERA FIELD FLATTENER X Z 17

F/6 Collimator/Camera Design This design uses two doublet lenses for both the collimator and camera. This configuration was chosen as a plausible starting point. The field lens is used to create a pupil in the collimated beam. All elements are spherical, materials are Ohara i Line glasses and fused silica. F/6 design provides a 10 x 10 FOV. Image quality is approaching good enough, but not quite there. This design represents a significant increase in size, cost and complexity for a modest gain in FOV. Y X Z COLLIMATOR CAMERA 18

F/6 Collimator/Camera Design Image size is less than 1/3 over the 10 x 10 FOV. Not terrible, but quite a bit worse than the direct focal reducer designs considered. These results represents a decent amount of effort, it should be a fair representation of the performance available with this configuration. OBJ: 0.0834, -0.0834 (deg) OBJ: 0.0000, -0.0834 (deg) OBJ: -0.0834, -0.0834 (deg) 0.4000 0.6000 0.8000 9.40 9 9 IMA: -30.726, 30.726 mm IMA: -0.000, 30.224 mm IMA: 30.726, 30.726 mm OBJ: 0.0834, 0.0000 (deg) OBJ: 0.0000, 0.0000 (deg) OBJ: -0.0834, 0.0000 (deg) IMA: -30.224, -0.000 mm IMA: 0.000, -0.000 mm IMA: 30.224, -0.000 mm OBJ: 0.0834, 0.0834 (deg) OBJ: 0.0000, 0.0834 (deg) OBJ: -0.0834, 0.0834 (deg) Surface IMA: Detector IMA: -30.726, -30.726 mm IMA: 0.000, -30.224 mm IMA: 30.726, -30.726 mm Spot Diagram APO Imager 1/5/2014 Units are µm. Field : 1 2 3 4 5 6 7 8 9 RMS radius : 15.073 13.482 15.073 13.482 12.113 13.482 15.073 13.482 15.073 GEO radius : 66.838 40.277 66.838 40.277 27.856 40.277 66.838 40.277 66.838 Circle diam: 99.4 Reference : Centroid Johns Hopkins University Instrument Development Group Baltimore, Maryland APOImager_Coll_Cam_24.ZMX Configuration 1 of 2 19