含自由曲面的反射式望远镜降敏设计
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Desensitization design methods for reflective telescopes with freeform surfaces
WANG Yang1，PENG Shengbo¹，GU Zhiyuan
（1. College of Optoelectronic Engineering， Changchun University of Science and Technology ， Changchun 130022，China;
2. Changchun Institute of Optics，Fine Mechanics and Physics，Chinese Academy of Sciences， Changchun 130031，China） * Corresponding author， E -mail： zhiyuan. gu@hotmail.com
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 reduce 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 surfaces.To obtain the aberration coeficients of of-axis freeform surfaces，transformed pupil vectors were introduced into the aberration expansion，and only paraxial chief rays and marginal rays were traced to derive the aberration expressons. Then，an as-built performance evaluation model for the optical system was constructed based on this analysis framework.Using this method，two kinds of of-axis two-mirrorand off-axis three-mirror systems containing freeform surfaces were designed，and the assembly sensitivity of the system was analyzed by 2 OOo Monte Carlo ray tracing simulations.The results indicate that after about 10 minutes of optimization，the average wavefront aberration of the off-axis two-miror telescope decreased by 26% ，and the average wavefront aberration of the off-axis three-mirror telescope decreased by 14% ，effectively verifying the effectiveness of the desensitization design method proposed in this paper.
Key words： nodal aberration； zernike freeform surface; of-axis reflective system; desensitization design
1引言
自由曲面具有更高的设计自由度，因此广泛应用于各种光学系统中以提升系统的成像质量或者实现小型化设计[1-4]。（剩余11941字）
