较大视场超分辨望远成像光学系统设计 
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Design of Super-Resolution Telescopic Imaging Optical System with Relative Large Field-of-View
1 长春理工大学空间光电技术国家地方联合工程研究中心, 吉林 长春 130022
2 长春理工大学光电工程学院, 吉林 长春 130022
图 & 表
图 1. 光瞳调制器设计。(a)位相板环带分布;(b)加入位相调制器前后PSF的对比
Fig. 1. Design of pupil modulator. (a)Distribution of phase plate annular zone; (b) comparison of PSF before and after adding phase modulator
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图 2. G、S和M随离焦像差的变化
Fig. 2. Change of G, S, and M with defocus aberration
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图 3. G、S和M随三阶像散的变化。(a) x方向;(b) y方向
Fig. 3. Change of G, S, and M with third order astigmatism. (a) x-direction; (b) y-direction
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图 4. G、S和M随三叶草像散的变化。(a) x方向;(b) y方向
Fig. 4. Change of G, S, and M with trefoil astigmatism. (a) x-direction; (b) y-direction
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图 5. G、S和M随五阶像散的变化。(a) x方向;(b) y方向
Fig. 5. Change of G, S, and M with fifth order astigmatism. (a) x-direction; (b) y-direction
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图 6. G、S和M随三阶彗差的变化。(a) x方向;(b) y方向
Fig. 6. Change of G, S, and M with third order coma. (a) x-direction; (b) y-direction
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图 7. G、S和M随五阶彗差的变化。(a) x方向;(b) y方向
Fig. 7. Change of G, S, and M with fifth order coma. (a) x-direction; (b) y-direction
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图 8. G、S和M随球差的变化。(a)三阶球差;(b)五阶球差
Fig. 8. Change of G, S, and M with spherical aberration. (a) Third spherical aberration; (b) fifth spherical aberration
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图 9. 同时叠加0.2λ球差和-0.355λ离焦的超分辨成像PSF
Fig. 9. Super-resolution imaging PSF with superposition of 0.2λ spherical aberration and -0.355λ defocus simultaneously
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图 10. G、S和M随调制器偏心/倾斜误差的变化。(a)偏心误差;(b)倾斜误差
Fig. 10. Change of G, S, and M with modulator decenter/tilt errors. (a) Decenter error; (b) tilt error
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图 11. 传统方法优化的光学基底系统像质。(a) MTF;(b)点列图
Fig. 11. Image quality of optical baseline system optimized by traditional method. (a) MTF; (b) spot diagram
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图 12. 加入调制器后各视场PSF。 (a) 0°;(b) 0.16°;(c) 0.28°
Fig. 12. PSF of each field-of-view after adding modulator. (a) 0°; (b) 0.16°; (c) 0.28°
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图 13. 天基望远超分辨成像光学系统
Fig. 13. Space-based telescope super-resolution imaging optical system
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图 14. 不同视场点列图
Fig. 14. Spot diagram in different field-of-views
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图 15. 加入调制器后,不同视场角的超分辨PSF横截面。(a) 0°;(b) 0.16°;(c) 0.28°
Fig. 15. Cross-sections of super-resolution PSF under different field-of-view angles after adding modulator. (a) 0°; (b) 0.16°; (c) 0.28°
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图 16. G、S、M随视场角的变化
Fig. 16. Change of G, S, and M with field-of-view angle
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表 1位相误差及对应百分比
Table1. Phase error and corresponding percentage
| τ/π | P(G≥1.2) /% | P(S≥0.15) /% | P(M≤0.1) /% |
|---|
| 0.01 | 100 | 100 | 100 | | 0.03 | 100 | 100 | 98 | | 0.05 | 85 | 92 | 78 | | 0.10 | 35 | 42 | 13 |
|
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表 2传统方法优化的光学基底系统中边缘视场各像差分量
Table2. Aberrations in marginal field of optical baseline system optimized by traditional method
| Aberration | Defocus | 3rd COMA | 3rd ASTI | 3rd SPHA | Trefiol | 5th COMA | 5th ASTI | 5th SPHA |
|---|
| Value | -0.05850 | -0.05810 | -0.18740 | -0.03190 | 0.12194 | 0.01260 | -0.05500 | 0.03610 |
|
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表 3各视场具有均一像质的光学基底系统中边缘视场像差分布
Table3. Aberrations in marginal field of optical baseline system with uniform image quality in each field-of-view
| Aberration | Defocus | 3rd COMA | 3rd ASTI | 3rd SPHA | Trefiol | 5th COMA | 5th ASTI | 5th SPHA |
|---|
| Value | -0.1291 | -0.0427 | 0.0472 | -0.1848 | -0.0070 | -0.0294 | 0.0107 | -0.0751 |
|
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表 4系统反射部分加工装调公差容限
Table4. Tolerances for processing and adjustment of reflection part of the system
| Surface | Radius /mm | Conic | Interval of tolerance /mm | Decenter of mirror /mm | Tilt of mirror /(') |
|---|
| Primary mirror | ±0.5 | ±0.0006 | ±0.04 | ±0.02 | ±0.2 | | Secondary mirror | ±0.5 | ±0.005 | | ±0.02 | ±0.2 |
|
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表 5系统透射部分加工装调公差容限
Table5. Tolerances for processing and adjustment of transmission part of the system
| Lens No. | Radius /fringe | Surface irregularty /fringe | Tilt of surface /(') | Thickness /mm | Materia index | Interval of tolerance /mm | Decenter of element /mm | Tilt of element /arc min |
|---|
| Lens 1 | ±2 | ±0.2 | ±0.3 | ±0.04 | ±0.001 | ±0.03 | ±0.01 | ±0.3 | | Lens 2 | ±2 | ±0.2 | ±0.4 | ±0.1 | ±0.001 | ±0.1 | ±0.015 | ±0.3 | | Lens 3 | ±3 | ±0.2 | ±0.4 | ±0.1 | ±0.001 | ±0.1 | ±0.015 | ±0.3 | | Lens 4 | ±3 | ±0.2 | ±0.4 | ±0.1 | ±0.001 | ±0.1 | ±0.02 | ±0.3 | | Lens 5 | ±2 | ±0.2 | ±0.4 | ±0.04 | ±0.001 | ±0.03 | ±0.02 | ±0.4 | | Lens 6 | ±2 | ±0.2 | ±0.4 | ±0.1 | ±0.001 | ±0.03 | ±0.02 | ±0.4 | | Lens 7 | ±2 | ±0.2 | ±0.3 | ±0.1 | ±0.001 | ±0.1 | ±0.015 | ±0.3 | | Lens 8 | ±2 | ±0.2 | ±0.3 | ±0.1 | ±0.001 | ±0.1 | ±0.015 | ±0.3 |
|
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表 6调制器公差容限
Table6. Tolerances of modulator
| Parameter | Decenter /mm | Tilt error /(°) | Phase error /π |
|---|
| Value | ±0.4 | ±0.5 | ±0.03 |
|
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王超, 史浩东, 李英超, 付强, 刘壮. 较大视场超分辨望远成像光学系统设计[J]. 光学学报, 2020, 40(13): 1322002. Chao Wang, Haodong Shi, Yingchao Li, Qiang Fu, Zhuang Liu. Design of Super-Resolution Telescopic Imaging Optical System with Relative Large Field-of-View[J]. Acta Optica Sinica, 2020, 40(13): 1322002.
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