基于自由曲面的大相对孔径大视场光学探测系统 
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Freeform-Surface-Based Optical Detection System with Large Relative Aperture and Large Field of View
1 中国科学院西安光学精密机械研究所空间光学技术研究室, 陕西 西安 710119
2 中国科学院大学光电学院, 北京 100049
3 陕西师范大学物理学与信息技术学院, 陕西 西安 710119
图 & 表
图 1. 系统结构图
Fig. 1. Structural diagram of system
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图 2. 系统视场图
Fig. 2. Field of view of system
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图 3. 自由曲面面型。(a)二维;(b)三维
Fig. 3. Shape of freeform surface. (a) Two-dimensional; (b) Three-dimensional
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图 5. 包围能量分布图。(a)视场1~5;(b)视场6~10
Fig. 5. Surrounding energy distributions. (a) FOV 1-5; (b) FOV 6-10
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图 6. 场曲与畸变图
Fig. 6. Field curvature and distortion
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图 7. 畸变网格
Fig. 7. Distortion grid
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图 8. 预定公差下的80%包围能量分布预估
Fig. 8. 80% surrounding energy distribution estimation under predetermined tolerance
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图 9. 公差修正后的80%包围能量分布预估
Fig. 9. 80% surrounding energy distribution estimation after tolerance correction
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表 1设计参数
Table1. Design parameters
| Parameter | Value |
|---|
| Wavelength /nm | 450-850 | | Focal length /mm | 158 | | Entrance pupil /mm | 150 | | F number | 1.05 | | Field of view /(°) | 20 | | Pixel size /(μm×μm) | 10×10 | | Detector size /(mm×mm) | 40×40 |
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表 2系统数据
Table2. System data
| Surface | Surfacetype | Radius ofcurvature /mm | Conicconstant | Thickness /mm | Material | Aperture /mm |
|---|
| Object | Standard | Infinity | | Infinity | Air | | | 1 | Standard | 192.67 | | 25.00 | Silica _special | 210.84 | | 2 | Standard | 340.08 | | 43.62 | Air | 204.91 | | 3 | Standard | -234.44 | | 20.00 | HBAK4_CDGM | 201.76 | | 4 | Standard | 301.16 | | 6.49 | Air | 200.50 | | 5 | Quadric | 165.90 | -1.33 | 41.20 | BaF2_special | 208.61 | | 6 | Standard | -6255.80 | | 65.39 | Air | 207.58 | | 7 | Standard | 373.09 | | 20.00 | HZF6_CDGM | 189.23 | | Stop | Standard | 190.02 | | 21.10 | Air | 146.79 | | 9 | XY polynomial | 161.90 | -1.77 | 31.46 | BaF2_special | 181.10 | | 10 | Standard | -530.65 | | 5.00 | Air | 180.21 | | 11 | Standard | 204.17 | | 29.50 | BaF2_special | 168.98 | | 12 | Standard | -1068.73 | | 5.00 | Air | 165.26 | | 13 | Standard | 157.87 | | 32.23 | BaF2_special | 153.27 | | 14 | Standard | -1608.91 | | 5.00 | Air | 149.03 | | 15 | Standard | 105.36 | | 35.00 | BaF2_special | 122.04 | | 16 | Standard | -282.20 | | 15.00 | HLAK67_CDGM | 110.55 | | 17 | Standard | 52.27 | | 64.75 | Air | 77.00 | | Image plane | Standard | Infinity | | 0 | | 66.52 |
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表 3视场对应的编号
Table3. Corresponding number of field of view
| Field No. | 1 | 2 | 3 | 4 | 5 |
|---|
| Field of view | (0°,0°) | (0°,5°) | (3.5°,3.5°) | (5°,0°) | (0°,7°) | | Field No. | 6 | 7 | 8 | 9 | 10 | | Field of view | (5°,5°) | (7°,0°) | (0°,10°) | (7°,7°) | (10°,0°) |
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表 4XY自由曲面参数
Table4. Parameters of XY freeform surface
| Item | Coefficient |
|---|
| X2 | -0.000755341578837755 | | Y2 | -0.000755341617671267 |
|
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表 5预定公差
Table5. Predetermined tolerance
| Tolerance type | Tolerance value |
|---|
| Lens thickness and air gap | 0.02 mm | | Lens tilt angle | 0.001 rad | | Lens offsetting distance | 0.02 mm | | Lens wedge angle | 0.0003 rad | | Lens aperture | 2 | | Two-dimensional irregularity of lens | 0.2 | | Curvature radius (aspherical) | 0.01 mm | | Quadric surface constant | 0.001 | | Random RMS surface error (aspherical) | 0.025 | | Refractive index of material | 0.0001 | | Abbe number of material | 0.002 |
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表 6敏感公差
Table6. Sensitive tolerance
| Tolerance type | Active surface | Expected tolerance |
|---|
| Lens tilt angle | 3 and 7 | 0.0003 rad | | Lens offsetting distance | All | 0.01 mm |
|
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表 780%包围能量分布对应的最大包围正方形边长预估
Table7. Estimated maximum enveloping square side length corresponding to 80% surrounding energy distribution
| Proportion ofchange /% | Maximum envelopingsquare side length /μm |
|---|
| -0.50 | 20.719 | | -0.40 | 20.241 | | -0.30 | 19.849 | | -0.20 | 19.546 | | -0.10 | 19.351 | | 0 | 17.326 | | 0.10 | 18.627 | | 0.20 | 18.815 | | 0.30 | 18.883 | | 0.40 | 19.363 | | 0.50 | 19.949 |
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马子轩, 李旭阳, 任志广, 褚楠清. 基于自由曲面的大相对孔径大视场光学探测系统[J]. 光学学报, 2020, 40(17): 1722002. Zixuan Ma, Xuyang Li, Zhiguang Ren, Nanqing Chu. Freeform-Surface-Based Optical Detection System with Large Relative Aperture and Large Field of View[J]. Acta Optica Sinica, 2020, 40(17): 1722002.
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