光学精密工程2025，Vol.33Issue(12)：1864-1875,12.DOI:10.37188/OPE.20253312.1864
含自由曲面的反射式望远镜降敏设计
Desensitization design methods for reflective telescopes with freeform surfaces
摘要
Abstract
In the traditional optical system design process,optical designers focus more on optimizing the performance of the optical system without considering the as-built performance of these systems.To re-duce the tolerance requirements for optical systems,this paper proposed a desensitization design method for freeform reflecting telescopes based on nodal aberration theory.This method provided mathematical expressions to describe aberrations generated by freeform terms on general decentered and tilted optical sur-faces.To obtain the aberration coefficients of off-axis freeform surfaces,transformed pupil vectors were in-troduced into the aberration expansion,and only paraxial chief rays and marginal rays were traced to derive the aberration expressions.Then,an as-built performance evaluation model for the optical system was con-structed based on this analysis framework.Using this method,two kinds of off-axis two-mirror and off-ax-is three-mirror systems containing freeform surfaces were designed,and the assembly sensitivity of the sys-tem was analyzed by 2 000 Monte Carlo ray tracing simulations.The results indicate that after about 10 minutes of optimization,the average wavefront aberration of the off-axis two-mirror telescope decreased by 26%,and the average wavefront aberration of the off-axis three-mirror telescope decreased by 14%,ef-fectively verifying the effectiveness of the desensitization design method proposed in this paper.关键词
矢量像差/降敏设计/Zernike自由曲面/离轴反射式系统Key words
nodal aberration/zernike freeform surface/off-axis reflective system/desensitization design分类
通用工业技术引用本文复制引用
王洋,彭圣博,顾志远..含自由曲面的反射式望远镜降敏设计[J].光学精密工程,2025,33(12):1864-1875,12.基金项目
国家自然科学基金资助项目(No.62105331) （No.62105331）
