Optimization Method for Low Tilt Sensitivity of Secondary Mirror Based on the Nodal Aberration Theory
The optical system that combines imaging and image motion compensation is conducive to the miniaturization of aerial mapping cameras, but the movement of optical element for image motion compensation will cause a decrease in image quality. To solve this problem, reducing the sensitivity of moving op...
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MDPI AG
2022-06-01
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| Series: | Applied Sciences |
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| author | Jing Li Yalin Ding Yiming Cai Guoqin Yuan Mingqiang Zhang |
| author_facet | Jing Li Yalin Ding Yiming Cai Guoqin Yuan Mingqiang Zhang |
| author_sort | Jing Li |
| collection | DOAJ |
| description | The optical system that combines imaging and image motion compensation is conducive to the miniaturization of aerial mapping cameras, but the movement of optical element for image motion compensation will cause a decrease in image quality. To solve this problem, reducing the sensitivity of moving optical element is one of the effective ways to ensure the imaging quality of aerial mapping cameras. Therefore, this paper proposes an optimization method for the low tilt sensitivity of the secondary mirror based on the Nodal aberration theory. In this method, the analytical expressions of the tilt sensitivity of the secondary mirror in different tilt directions are given in the form of zernike polynomial coefficients, and the influence of the field of view on the sensitivity is expressed in the mathematical model. The desensitization optimization function and desensitization optimization method are proposed. The catadioptric optical system with a focal length of 350 mm is used for desensitization optimization. The results show that the desensitization function proposed in this paper is linearly related to the decrease of sensitivity within a certain range, and the standard deviation of the system after desensitization is 0.020, which is 59% of the system without desensitization. Compared with the traditional method, the method in this paper widens the range of angle reduction sensitivity and has a better desensitization effect. The research results show that the optimization method for low tilt sensitivity of the secondary mirror based on the Nodal aberration theory proposed in this paper reduces the tilt sensitivity of the secondary mirror, revealing that the reduction of the sensitivity depends on the reduction of the aberration coefficient related to the misalignment in the field of view, which is critical for the development of an optical system for aerial mapping cameras that combines imaging and image motion compensation. |
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| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T22:08:02Z |
| publishDate | 2022-06-01 |
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| series | Applied Sciences |
| spelling | doaj.art-fd5796f3bfab4d00895b2236123119992023-11-23T19:38:00ZengMDPI AGApplied Sciences2076-34172022-06-011213651410.3390/app12136514Optimization Method for Low Tilt Sensitivity of Secondary Mirror Based on the Nodal Aberration TheoryJing Li0Yalin Ding1Yiming Cai2Guoqin Yuan3Mingqiang Zhang4Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaKey Laboratory of Space-Based Integrated Information System, Institute of Software, Chinese Academy of Sciences, Beijing 100190, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaThe optical system that combines imaging and image motion compensation is conducive to the miniaturization of aerial mapping cameras, but the movement of optical element for image motion compensation will cause a decrease in image quality. To solve this problem, reducing the sensitivity of moving optical element is one of the effective ways to ensure the imaging quality of aerial mapping cameras. Therefore, this paper proposes an optimization method for the low tilt sensitivity of the secondary mirror based on the Nodal aberration theory. In this method, the analytical expressions of the tilt sensitivity of the secondary mirror in different tilt directions are given in the form of zernike polynomial coefficients, and the influence of the field of view on the sensitivity is expressed in the mathematical model. The desensitization optimization function and desensitization optimization method are proposed. The catadioptric optical system with a focal length of 350 mm is used for desensitization optimization. The results show that the desensitization function proposed in this paper is linearly related to the decrease of sensitivity within a certain range, and the standard deviation of the system after desensitization is 0.020, which is 59% of the system without desensitization. Compared with the traditional method, the method in this paper widens the range of angle reduction sensitivity and has a better desensitization effect. The research results show that the optimization method for low tilt sensitivity of the secondary mirror based on the Nodal aberration theory proposed in this paper reduces the tilt sensitivity of the secondary mirror, revealing that the reduction of the sensitivity depends on the reduction of the aberration coefficient related to the misalignment in the field of view, which is critical for the development of an optical system for aerial mapping cameras that combines imaging and image motion compensation.https://www.mdpi.com/2076-3417/12/13/6514aerial mapping cameracatadioptric optical systemsdesensitization optimizationtilt sensitivitythe Nodal aberration theory |
| spellingShingle | Jing Li Yalin Ding Yiming Cai Guoqin Yuan Mingqiang Zhang Optimization Method for Low Tilt Sensitivity of Secondary Mirror Based on the Nodal Aberration Theory Applied Sciences aerial mapping camera catadioptric optical systems desensitization optimization tilt sensitivity the Nodal aberration theory |
| title | Optimization Method for Low Tilt Sensitivity of Secondary Mirror Based on the Nodal Aberration Theory |
| title_full | Optimization Method for Low Tilt Sensitivity of Secondary Mirror Based on the Nodal Aberration Theory |
| title_fullStr | Optimization Method for Low Tilt Sensitivity of Secondary Mirror Based on the Nodal Aberration Theory |
| title_full_unstemmed | Optimization Method for Low Tilt Sensitivity of Secondary Mirror Based on the Nodal Aberration Theory |
| title_short | Optimization Method for Low Tilt Sensitivity of Secondary Mirror Based on the Nodal Aberration Theory |
| title_sort | optimization method for low tilt sensitivity of secondary mirror based on the nodal aberration theory |
| topic | aerial mapping camera catadioptric optical systems desensitization optimization tilt sensitivity the Nodal aberration theory |
| url | https://www.mdpi.com/2076-3417/12/13/6514 |
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