摘要
基于一阶几何光学,以给定的初始结构参数推出了共轴三反光学表面的曲率和间隔方程;以佩茨瓦尔和为零作为约束条件,推出了初始结构参数应该满足的方程。基于三阶几何光学中球差、彗差、像散为零的目标求解二次曲线常数方程。根据共轴三反望远镜的像差要求,以优化其球差、彗差和像散为目标并结合优化评价函数,得到天文望远镜系统镜面的非球面高次系数,同时得到望远镜光学系统的各面的像差系数、能量图以及各视场的波前图和调制传递函数图。结果表明,该共轴三反射望远镜结构设计合理,设计原理和方法可以进一步推广到离轴三反射系统。
Based on the first-order geometrical optics, system with given structure parameters are derived the curvature and separation equation of coaxial three-mirror Setting Petzval sum to be zero as constraint condition, the original structure parameters of the three-mirror system are obtained. Moreover, according to the aberrations demand of the coaxial three-mirror telescope, the merit functions to optimize the spherical aberration, coma and astigmatism are defined by using Zemax. Consequently, high order aberration coefficients of the aspherical mirror of the telescope system are obtained. The aberration coefficients table, plot of diffraction encircled energy, wavefront map and modulation transfer function （MTF） are also obtained. The results indicate that the method can be used to get a reasonable structure of a coaxial three-mirror telescope. The design principles and methods are applicable to the off-axis three-reflection system.
出处
《光学学报》
EI
CAS
CSCD
北大核心
2013年第5期190-195,共6页
Acta Optica Sinica
基金
国家自然科学基金(11274223)资助课题
关键词
光学设计
像差理论
望远镜
三反射结构
optical design aberration theory telescope three-mirror structure
