离轴光学系统的畸变分析及焦距测量  

Distortion analysis and focal length testing of off-axis optical system

作　　者：程强[1] 胡海翔[1] 李龙响 王孝坤[1] 罗霄 张学军[1,2] CHENG Qiang;HU Haixiang;LI Longxiang;WANG Xiaokun;LUO Xiao;ZHANG Xuejun(Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Key Laboratory of Optical System Advanced Manufacturing Technology,Changchun 130033,China;University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国科学院长春光学精密机械与物理研究所中国科学院光学系统先进制造技术重点实验室,吉林长春130033 [2]中国科学院大学,北京100049

出　　处：《光学精密工程》2022年第22期2839-2846,共8页Optics and Precision Engineering

基　　金：中国科学院青年创新促进会资助项目(No.2022213);国家自然科学基金资助项目(No.12003034,No.12003035,No.11903035,No.12103054,No.61805243,No.6207031149)。

摘　　要：为了实现离轴光学系统的高精度畸变分析、测量及在轨图像的快速、高精度畸变校正,利用高阶畸变分析方法对离轴光学系统的相对畸变进行了拟合分析。首先,对离轴光学系统的理论畸变进行了分析,提出了等效焦距的概念,并利用高阶畸变分析方法对系统的相对畸变进行了拟合分析;接着,针对装调完成的某离轴光学系统完成了畸变测试及焦距测量;最后,利用实测结果完成了该离轴光学系统的物像对应关系的高精度解算。与ZEMAX光线追迹的结果相比,利用高阶畸变系数计算得到的等效焦距最大偏差为0.366 mm;对于某装调完成的离轴光学系统,实测等效同轴系统焦距的偏差仅为6.378 mm,相对偏差为0.073%。验证了该方法对于离轴光学系统畸变分析、测量及焦距测量具有正确性及精度保证,将为在轨图像的快速、高精度畸变校正提供可靠输入。To realize the high-precision distortion analysis and measurement of an off-axis optical system and fast and high-precision distortion correction of on-orbit images,a high-order distortion analysis method is used to fit and analyze the relative distortion of the off-axis optical system.First,the theoretical distortion of the off-axis optical system is examined.Then,the concept of equivalent focal length is proposed,and the relative distortion of the system is fitted and analyzed using the aforementioned analysis method.The distortion testing and focal length measurement are then completed for the well-aligned off-axis optical system.Finally,the measured results are used to complete the object image correspondence of the off-axis optical system.The maximum deviation of the equivalent focal length calculated using the high-order distortion analysis method is 0.366 mm when compared with the results of the ZEMAX ray tracing.The measured focal length deviation of the equivalent coaxial system for an off-axis optical system is only 6.378 mm,and the relative deviation is 0.073%.The correctness and accuracy of this method for distortion analysis and measurement and focal length evaluation of the off-axis optical system are verified,thereby providing reliable input for the fast and high-precision distortion correction of on-orbit images.

关 键 词：离轴光学系统 畸变分析 焦距测量 等效焦距 高阶畸变系数 

分 类 号：O439[机械工程—光学工程]