Zernike多项式拟合方法及应用

Zernike多项式拟合方法及应用 Zernike polynomial fitting method and its application 单宝忠 SHAN Bao-zhong 1 2 first-author 王淑岩 WANG Shu-yan 1 牛憨笨 NIU Han-ben 1 刘颂豪 LIU Song-hao 2 深圳大学, 光电子学研究所,广东 深圳,518060 深圳大学, 光电子学研究所,广东 深圳,518060 Institute of Optoelectronics, Shenzhen University Institute of Optoelectronics, Shenzhen University 华南师范大学, 量子电子学研究所,广东 广州,510631 华南师范大学, 量子电子学研究所,广东 广州,510631 Quantum Electronic Institue, South China Normal University Quantum Electronic Institue, South China Normal University 由于Zernike多项式的各项与光学像差有相应的对应关系,用Zernike多项式对镜面面形数据进行处理的方法已经广泛应用于工程项目、光学系统设计软件和干涉检查等.用Zernike多项式作为光学和结构分析程序间的接口工具是非常方便和成熟的.本文阐述了Zernike多项式及其拟合方法和应用流程,并应用它作为数据接口工具实现了光机热各分析模块间的数据转换,并在某空间相机系统集成分析中得到应用. The items of Zernike polynomials have corresponding meanings of Seidel aberrations. The method of using Zernike polynomials to fit optical surfaces has been widely used in project, optical design software and interference check. So it is convenient and mature to use Zernike polynomials as the data transmission tool between optical and structural analysis programs. Here, Zernike polynomials and their fitting method, fitting process are outlined, and are used in the integrated analysis of a space camera, as an example. Zernike多项式 拟合 集成分析 有限元法 光机系统 Zernike polynomials fitting integrated analysis finite element method thermal-structural systems 单宝忠.空间相机光机系统光机热集成分析及优化设计[D].长春:中国科学院长春光学精密机械研究所,1999. Miller J, Hatch M, Green K. Predicting performance of optical systems undergoing thermal/mechanical/optical numerical methods[J]. SPIE, 1981,20(2):303-311. 单宝忠.空间光仪光机热集成分析方法[J]. 光学精密工程,2001,8(4):377-381. Wang J Y,Silva D E. Wave-front interpretation with Zernike polynomials[J]. Appl.Opt, 1980,19:1510-1518. 单宝忠,武克用,卢锷. 弹性基体对光学仪器动态特性的影响[J]. 光学精密工程,1997,5(6):59-63. TH74 2001-11-18 2002-04-12 2002-06-15 2002-06-15 2020-08-11 3 10