高精度光学系统光机热耦合分析方法与实现

doi:10.16182/j.issn1004731x.joss.23-0092

摘要/Abstract

摘要：

高精度光学系统容易受到空间环境的影响，在高温、结构载荷等作用下光学系统像质变差，需要进行光机热耦合分析。但光学、结构、热学仿真等学科的独立发展，导致数据不能有效地耦合和传递。提出了一种跨学科耦合分析方法。采用集成分析思想，以多项式拟合为接口，解决了光学元件表面的不规则变形问题。通过最佳拟合刚体位移、最佳拟合曲率半径、多项式拟合等过程，实现了有限元分析工具与光学分析工具的耦合分析。以卡塞格林系统作为测试研究对象，验证了该方法的有效性。为评估在极端工况下光机系统的光学性能以及系统的设计优化提供了参考。

关键词: 卡塞格林系统, 集成分析, 光机系统, 面形拟合, Zernike多项式, 光学评价

Abstract:

High-precision optical system is easy to be affected by space environment. Under the condition of high temperature, structural load, etc., the image quality of the optical system becomes poor, and the opto-mechanical-thermal coupling analysis is needed. Due to the independent development of the optical simulation, structure simulation, thermal simulation and others, the simulation data can not be effectively coupled and transferred. An interdisciplinary coupling analysis method is proposed, in which the integrated analysis idea is adopted and the polynomial fitting is used as the interface to solve the irregular deformation of optical element surface. Through the implement of the best fitting rigid body displacement, the best fitting radius of curvature, polynomial fitting, etc., the coupling analysis between finite element analysis tool and optical analysis tool is realized. Taking Cassegrain system as the test object, the effectiveness of the method is verified. The method provides a reference to the optical performance evaluation of the optical-mechanical system and the design optimization of the system under extreme conditions.

Key words: Cassegrain system, integrated opto-mechanical-thermal analysis, optomechanical systems, surface fitting, Zernike polynomial, optical evaluation

中图分类号:

TP317

赵亮, 张志刚, 孙瑶. 高精度光学系统光机热耦合分析方法与实现[J]. 系统仿真学报, 2023, 35(6): 1381-1394.

Liang Zhao, Zhigang Zhang, Yao Sun. Opto-mechanical-thermal Coupling Analysis Method and Implementation of High-precision Optical System[J]. Journal of System Simulation, 2023, 35(6): 1381-1394.

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参考文献 22

1	刘先胜, 车宏, 刘欣. 高空无人机光电侦察装置光机技术研究[J]. 系统仿真学报, 2008, 20(增1): 465-469.
	Liu Xiansheng, Che Hong, Liu Xin. Research on the Opto-mechanical Technology of the Electro-optical Reconnaissance Device on High-altitude UAV[J]. Journal of System Simulation, 2008, 20(S1): 465-469.
2	Zhang G P, Yang H T, Mei C, et al. Thermal/structural/optical Integrated Design for Optical Window of a High-speed Aerial Optical Camera[C]//AOPC 2015: Optical Design and Manufacturing Technologies. Bellingham, WA, USA: SPIE, 2015: 96760W.
3	李诚良. 基于光机热集成分析的空间低温红外光谱仪研究[D]. 长春: 中国科学院长春光学精密机械与物理研究所, 2021.
	Li Chengliang. Research on Space Cryogenic Infrared Spectrometer Based on Integrated Structural/Thermal/Optical Analysis[D]. Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 2021.
4	王健, 张美君, 虞林瑶, 等. 卡塞格林系统结构设计与仿真[J]. 机电工程技术, 2022, 51(5): 84-86, 97.
	Wang Jian, Zhang Meijun, Yu Linyao, et al. Cassegrain System Structural Design and Simulation[J]. Mechanical & Electrical Engineering Technology, 2022, 51(5): 84-86, 97.
5	杨怿, 陈时锦, 张伟. 空间光学遥感器光机热集成分析技术综述[J]. 光学技术, 2005, 31(6): 913-917, 920.
	Yang Yi, Chen Shijin, Zhang Wei. Review of Thermal-structural-optical Integrated Analysis of Space Remote Sensor[J]. Optical Technique, 2005, 31(6): 913-917, 920.
6	方振中. 光刻机投影物镜光学镜片的光机热集成分析及软件实现[D]. 武汉: 华中科技大学, 2015.
	Fang Zhenzhong. Thermo-opto-mechanical Integrated Analysis and Software Development of a Projection Object Lens System for Photolithography[D]. Wuhan: Huazhong University of Science and Technology, 2015.
7	Dörband Bernd, Seitz Günther. Interferometric Testing of Optical Surfaces at Its Current Limit[J]. Optik, 2001, 112(9): 392-398.
8	刘琼. Ansys宣布收购Zemax, 光学战略布局再度强化[EB/OL]. (2021-09-26) [2023-02-01]. .
	Liu Qiong. Ansys Announced the Acquisition of Zemax, Reinforcing the Optical Strategic Layout[EB/OL]. (2021-09-26) [2023-02-01]. .
9	王增伟, 赵知诚, 杨溢, 等. 基于刚体运动完备方程的光机热集成分析方法[J]. 红外与激光工程, 2022, 51(6): 235-252.
	Wang Zengwei, Zhao Zhicheng, Yang Yi, et al. Thermal-structural-optical Integrated Analysis Method Based on the Complete Equations of Rigid Body Motion[J]. Infrared and Laser Engineering, 2022, 51(6): 235-252.
10	刘光. 基于光机热集成的空间相机主动热光学关键技术研究[D]. 长春: 中国科学院长春光学精密机械与物理研究所, 2019.
	Liu Guang. Research of the Key Technologies on Active-thermal Optics for the Space Camera Based on Structural-thermal-optical Integration[D]. Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 2019.
11	史建亮, 任戈. 一种新型的光机集成建模与仿真工具[J]. 系统仿真学报, 2009, 21(23): 7445-7447, 7463.
	Shi Jianliang, Ren Ge. New Toolbox of Modeling and Simulation for Mechanical/Optical Integrated Analysis[J]. Journal of System Simulation, 2009, 21(23): 7445-7447, 7463.
12	惠彬, 李景镇, 裴云天, 等. 大口径折反射式光学系统的光机结合分析[J]. 光子学报, 2006, 35(7): 1117-1120.
	Hui Bin, Li Jingzhen, Pei Yuntian, et al. Integrated Analysis of Optics and Mechanics in Larger Aperture Catadioptric Optical System[J]. Acta Photonica Sinica, 2006, 35(7): 1117-1120.
13	刘巨, 薛军, 任建岳. 空间相机光机热集成设计分析及关键技术研究综述[J]. 宇航学报, 2009, 30(2): 422-427, 480.
	Liu Ju, Xue Jun, Ren Jianyue. Review of Research on Integration Design of Structural, Thermal and Optical Analysis with Key Technique of Space Camera[J]. Journal of Astronautics, 2009, 30(2): 422-427, 480.
14	刘朋朋, 靳利锋, 赵慧, 等. 低轨道遥感相机光机热一体化分析及优化设计[J]. 红外技术, 2022, 44(6): 614-621.
	Liu Pengpeng, Jin Lifeng, Zhao Hui, et al. Integrated Opto-mechanical-thermal Analysis and Optimization Design of a Low-orbit Remote Sensing Camera[J]. Infrared Technology, 2022, 44(6): 614-621.
15	邢占, 陈晓依, 彭志勇, 等. 红外气动光学效应研究进展与思考(特邀)[J]. 红外与激光工程, 2022, 51(4): 98-114.
	Xing Zhan, Chen Xiaoyi, Peng Zhiyong, et al. Research Progress and Thinking of Infrared Aero-optical Effect(Invited)[J]. Infrared and Laser Engineering, 2022, 51(4): 98-114.
16	王惠. 气动光学效应对高速飞行器像质影响的建模仿真方法研究[D]. 哈尔滨: 哈尔滨工业大学, 2021.
	Wang Hui. Research on Modeling and Simulation Method of Aero-optical Effect on Image Quality of High-speed Aircraft[D]. Harbin: Harbin Institute of Technology, 2021.
17	Yang Dongsheng, Dong Minzhou, Zhang Tong, et al. Aerothermal Radiation Transfer Calculation Method from the Dome to the Detector Based on Reverse Ray Tracing[J]. Optik, 2017, 136: 543-552.
18	孙喜万, 刘伟. 气动光学效应研究进展[J]. 力学进展, 2020, 50(1): 249-309.
	Sun Xiwan, Liu Wei. Research Progress of Aero-optical Effect[J]. Advances in Mechanics, 2020, 50(1): 249-309.
19	叶井飞, 高志山, 刘晓莉, 等. 基于Zernike多项式和径向基函数的自由曲面重构方法[J]. 光学学报, 2014, 34(8): 233-241.
	Ye Jingfei, Gao Zhishan, Liu Xiaoli, et al. Freeform Surfaces Reconstruction Based on Zernike Polynomials and Radial Basis Function[J]. Acta Optica Sinica, 2014, 34(8): 233-241.
20	张向明, 姜峰, 孔龙阳, 等. 卡塞格林系统光学装调技术研究[J]. 应用光学, 2015, 36(4): 526-530.
	Zhang Xiangming, Jiang Feng, Kong Longyang, et al. Research on Optical Alignment Technology for Cassegrain System[J]. Journal of Applied Optics, 2015, 36(4): 526-530.
21	邹营营. 基于卡塞格林光学系统的红外目标模拟器技术研究[D]. 北京: 北京理工大学, 2015.
	Zou Yingying. Research of Infrared Target Simulation Technology Based on Cassegrain Optical System[D]. Beijing: Beijing Institute of Technology, 2015.
22	郭良贤, 卫俊杰, 唐培. Zernike圆域多项式镜面拟合仿真与精度研究[J]. 光学与光电技术, 2018, 16(6): 56-62.
	Guo Liangxian, Wei Junjie, Tang Pei. Fitting Simulation and Precision of Mirror Surface with Zernike Circular Polynomial[J]. Optics & Optoelectronic Technology, 2018, 16(6): 56-62.

部件	材料	杨氏模量/GPa	泊松比	质量密度/ (g/cm³)	热膨胀系数/K
主镜	碳化硅	433.0	0.142	3.040	2.40×10^-6
衬套	殷钢	514.1	0.360	8.100	0.90×10^-6
柔节	钛合金	111.7	0.310	4.430	8.40×10^-6
背板	钛合金	111.7	0.310	4.430	8.40×10^-6
主镜室	钛合金	111.7	0.310	4.430	8.40×10^-6
次镜	ULE	26.7	0.180	2.205	0.03×10^-6
次镜支撑	AL/SIC(55 vol%)	319.0	0.230	2.950	9.50×10^-6
次镜室	AL/SIC(25 vol%)	711.5	0.300	2.880	15.00×10^-6

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