光学 精密工程, 2014, 22 (8): 2103, 网络出版: 2014-09-15
微缩投影系统的计算机辅助装调
Computer-aided alignment for reduced projection systems
微缩投影系统 集成装调 计算机辅助装调 敏感度矩阵 奇异值分解 reduced projection system integrated assembly and alignment computer-aided alignment sensitivity matrix singular value decomposition
摘要
为了解决主次镜结构的微缩投影系统在计算机辅助装调过程中的补偿器耦合问题,实现补偿器的合理筛选,介绍了一种基于光学系统敏感矩阵奇异值分解的计算机辅助装调算法。建立了微缩投影系统装调模型,针对算法和模型开展了计算机辅助装调实验。用光学软件CODE V建立了光学系统模型,采用零位补偿器检测获得了非球面元件面形;基于灵敏度矩阵的分析结果指导微缩投影系统优化,并将优化后的结构参数作为系统光机结构机械装配和定位的基准。新建立的系统装调模型更接近实际装调过程,能更有效地指导装调,解决了补偿器间的耦合问题,加快了装调过程的收敛。最后,基于自行研发的高精度干涉仪完成了计算机辅助装调实验。 实验显示系统波像差由46.39 nmRMS收敛至20.73 nmRMS,验证了装调算法和模型的准确性。
Abstract
To solve the coupling problem between the compensators during the computer-aided alignment of a reduced projection system with primary and secondary mirrors and to select the compensators properly, a computer-aided alignment algorithm based on singular value decomposition of an optical system sensitive matrix was described. An alignment model for the reduced projection system was established, and both of the algorithm and the model were accomplished in the experiment. An aspherical surface figure detected with a null lens was introduced into the CODE V optical model,the analysis of the sensitivity matrix was used to supervise the optimization of the optical system, and the optimized structural parameters were considered as the benchmark of the assembly and positioning of optical and mechanical system. The experiments show that the created system alignment model is closer to the actual alignment process,and efficiently supervises system alignment,solves the coupling problem between the compensators, and accelerates the convergence process. Finally, computer-aided alignment experiment was completed based on a self-developed interferometer with high precision.It shows that the system wavefront error is minished from 46.39 nmRMS to 20.73 nmRMS, which verifies the veracity of the algorithm and the alignment model.
谢耀, 于杰, 王丽萍, 王辉, 周烽. 微缩投影系统的计算机辅助装调[J]. 光学 精密工程, 2014, 22(8): 2103. XIE Yao, YU Jie, WANG Li-ping, WANG Hui, ZHOU Feng. Computer-aided alignment for reduced projection systems[J]. Optics and Precision Engineering, 2014, 22(8): 2103.