基于主成分分析法的离轴三反系统装调及其应用
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摘要
提出一种基于主成分分析法的装调方案;对理想的离轴三反系统的灵敏度矩阵进行处理,以获得系统失调量对残余像差敏感度的权重值,通过去除敏感度低的调整量来制定合理的装调方案;基于逆向优化法的计算机辅助装调技术原理,进行模拟装调及装调方案的验证。结果表明:采用所制定的装调方案可使装调精度达到10~(-7)量级,调整量从11个减少到6个,装调难度降低,光机结构的稳定性得到提高。
An alignment scheme based on the principal component analysis is proposed. The sensitivity matrix of ideal off-axis three-mirror anastigmatic system is processed to obtain weights of system misalignment to residual aberration sensitivity. The reasonable alignment scheme is formulated by removing adjustments with low sensitivities. Based on the principle of computer aided alignment technology of the reverse optimization method, the simulation alignment and the alignment scheme are verified. The results show that with the proposed alignment scheme, the alignment accuracy is up to 10~(-7) magnitude, and the adjustment amount is reduced from 11 to 6. The alignment difficulty is reduced, and the stability of optical and mechanical structure is improved.
An alignment scheme based on the principal component analysis is proposed. The sensitivity matrix of ideal off-axis three-mirror anastigmatic system is processed to obtain weights of system misalignment to residual aberration sensitivity. The reasonable alignment scheme is formulated by removing adjustments with low sensitivities. Based on the principle of computer aided alignment technology of the reverse optimization method, the simulation alignment and the alignment scheme are verified. The results show that with the proposed alignment scheme, the alignment accuracy is up to 10~(-7) magnitude, and the adjustment amount is reduced from 11 to 6. The alignment difficulty is reduced, and the stability of optical and mechanical structure is improved.
引文
[1] Chen J J. Application of computer aided alignment technique to a three-mirror off-axis optical system[D]. Beijing: University of Chinese Academy of Sciences, 2013: 1-4, 44-48. 陈建军. 计算机辅助装调技术在离轴三反相机装调中的应用[D]. 北京: 中国科学院大学, 2013: 1-4, 44-48.
[2] Lü Y, Zeng X F, Zhang F. Effect of surface scattering on imaging performance for off-axis three mirror optical system[J]. Laser & Optoelectronics Progress, 2018, 55(9): 092901. 吕洋, 曾雪锋, 张峰. 镜面散射对离轴三反系统成像质量的影响[J]. 激光与光电子学进展, 2018, 55(9): 092901.
[3] Wang B, Wu F, Ye Y T. Computer aided alignment for off-axis TMA system[J]. Infrared and Laser Engineering, 2016, 45(11): 1118006. 王彬, 伍凡, 叶玉堂. 离轴三反系统计算机辅助装调[J]. 红外与激光工程, 2016, 45(11): 1118006.
[4] Zhang C, Wei X M, Zhao X T, et al. Computer-aided alignment technology of multi-spectral camera[J]. Acta Optica Sinica, 2015, 35(8): 0812005. 张超, 魏学敏, 赵希婷, 等. 多光谱相机计算机辅助装调方法[J]. 光学学报, 2015, 35(8): 0812005.
[5] Yang X F. Study on the computer-aided alignment of three-mirror optical system[D]. Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 2005: 62-64, 91-92. 杨晓飞. 三反射镜光学系统的计算机辅助装调技术研究[D]. 长春: 中国科学院长春光学精密机械与物理研究所, 2005: 62-64, 91-92.
[6] Yang X F, Zhang X H, Han C Y. Application of Zemax software in alignment of three-mirror off-axis aspherical optical system[J]. Optics and Precision Engineering, 2004, 12(3): 270-274. 杨晓飞, 张晓辉, 韩昌元. Zemax软件在离轴三反射镜系统计算机辅助装调中的应用[J]. 光学精密工程, 2004, 12(3): 270-274.
[7] Gu Z Y. Misalignment corrections in reflective telescopes[D]. Beijing: University of Chinese Academy of Sciences, 2016: 28-30. 顾志远. 反射式望远镜失调校正技术研究[D]. 北京: 中国科学院大学, 2016: 28-30.
[8] Fang J, Teng S Y, Niu S J, et al. Optical coherent image despeckling algorithm based on grouping principal component analysis[J]. Acta Optica Sinica, 2018, 38(10): 1017002. 方敬, 滕树云, 牛四杰, 等. 基于分组主成分分析的光学相干图像降斑算法[J]. 光学学报, 2018, 38(10): 1017002.
[9] Zhuo J W. Application of MATLAB in mathematical modeling[M]. Beijing: Beijing Aerospace University Press, 2010: 39-43. 卓金武. MATLAB在数学建模中的应用[M]. 北京: 北京航空航天大学出版社, 2010: 39-43.
[10] Liu Z X, Ma D M, Tian Y, et al. Computer-aided alignment method based on DDE interface technique[J]. Journal of Applied Optics, 2009, 30(3): 486-490. 刘志祥, 马冬梅, 田园, 等. 基于DDE接口技术的计算机辅助装调方法[J]. 应用光学, 2009, 30(3): 486-490.
[11] Gong D, Tian T Y, Wang H. Computer-aided alignment of off-axis three-mirror system by using Zernike coefficients[J]. Optics and Precision Engineering, 2010, 18(8): 1754-1759. 巩盾, 田铁印, 王红. 利用Zernike系数对离轴三反射系统进行计算机辅助装调[J]. 光学精密工程, 2010, 18(8): 1754-1759.
[12] Pang Z H. Study on computer-aided alignment technology for off-axis optical system[D]. Beijing: University of Chinese Academy of Sciences, 2013: 101-104. 庞志海. 离轴反射光学系统计算机辅助装调技术研究[D]. 北京: 中国科学院大学, 2013: 101-104.
[13] Yu X. Research on technology of computer aided alignment of off-axis four-mirror anastigmat optical system[D]. Beijing: University of Chinese Academy of Sciences, 2015: 44-47. 于鑫. 离轴四反系统的计算机辅助装调技术研究[D]. 北京: 中国科学院大学, 2015: 44-47.
[2] Lü Y, Zeng X F, Zhang F. Effect of surface scattering on imaging performance for off-axis three mirror optical system[J]. Laser & Optoelectronics Progress, 2018, 55(9): 092901. 吕洋, 曾雪锋, 张峰. 镜面散射对离轴三反系统成像质量的影响[J]. 激光与光电子学进展, 2018, 55(9): 092901.
[3] Wang B, Wu F, Ye Y T. Computer aided alignment for off-axis TMA system[J]. Infrared and Laser Engineering, 2016, 45(11): 1118006. 王彬, 伍凡, 叶玉堂. 离轴三反系统计算机辅助装调[J]. 红外与激光工程, 2016, 45(11): 1118006.
[4] Zhang C, Wei X M, Zhao X T, et al. Computer-aided alignment technology of multi-spectral camera[J]. Acta Optica Sinica, 2015, 35(8): 0812005. 张超, 魏学敏, 赵希婷, 等. 多光谱相机计算机辅助装调方法[J]. 光学学报, 2015, 35(8): 0812005.
[5] Yang X F. Study on the computer-aided alignment of three-mirror optical system[D]. Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 2005: 62-64, 91-92. 杨晓飞. 三反射镜光学系统的计算机辅助装调技术研究[D]. 长春: 中国科学院长春光学精密机械与物理研究所, 2005: 62-64, 91-92.
[6] Yang X F, Zhang X H, Han C Y. Application of Zemax software in alignment of three-mirror off-axis aspherical optical system[J]. Optics and Precision Engineering, 2004, 12(3): 270-274. 杨晓飞, 张晓辉, 韩昌元. Zemax软件在离轴三反射镜系统计算机辅助装调中的应用[J]. 光学精密工程, 2004, 12(3): 270-274.
[7] Gu Z Y. Misalignment corrections in reflective telescopes[D]. Beijing: University of Chinese Academy of Sciences, 2016: 28-30. 顾志远. 反射式望远镜失调校正技术研究[D]. 北京: 中国科学院大学, 2016: 28-30.
[8] Fang J, Teng S Y, Niu S J, et al. Optical coherent image despeckling algorithm based on grouping principal component analysis[J]. Acta Optica Sinica, 2018, 38(10): 1017002. 方敬, 滕树云, 牛四杰, 等. 基于分组主成分分析的光学相干图像降斑算法[J]. 光学学报, 2018, 38(10): 1017002.
[9] Zhuo J W. Application of MATLAB in mathematical modeling[M]. Beijing: Beijing Aerospace University Press, 2010: 39-43. 卓金武. MATLAB在数学建模中的应用[M]. 北京: 北京航空航天大学出版社, 2010: 39-43.
[10] Liu Z X, Ma D M, Tian Y, et al. Computer-aided alignment method based on DDE interface technique[J]. Journal of Applied Optics, 2009, 30(3): 486-490. 刘志祥, 马冬梅, 田园, 等. 基于DDE接口技术的计算机辅助装调方法[J]. 应用光学, 2009, 30(3): 486-490.
[11] Gong D, Tian T Y, Wang H. Computer-aided alignment of off-axis three-mirror system by using Zernike coefficients[J]. Optics and Precision Engineering, 2010, 18(8): 1754-1759. 巩盾, 田铁印, 王红. 利用Zernike系数对离轴三反射系统进行计算机辅助装调[J]. 光学精密工程, 2010, 18(8): 1754-1759.
[12] Pang Z H. Study on computer-aided alignment technology for off-axis optical system[D]. Beijing: University of Chinese Academy of Sciences, 2013: 101-104. 庞志海. 离轴反射光学系统计算机辅助装调技术研究[D]. 北京: 中国科学院大学, 2013: 101-104.
[13] Yu X. Research on technology of computer aided alignment of off-axis four-mirror anastigmat optical system[D]. Beijing: University of Chinese Academy of Sciences, 2015: 44-47. 于鑫. 离轴四反系统的计算机辅助装调技术研究[D]. 北京: 中国科学院大学, 2015: 44-47.