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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 geometric optics, the curvature and the interval equations of the coaxial anti-reflective surface are given based on the given initial structural parameters. For the Petzval and zero constraints, the equations that the initial structural parameters should satisfy are derived. Solving the Quadratic Constant Equation Based on the Goal Difference, Coma and Zero Astigmatism in Third Order Geometric Optics. According to the aberration requirement of the coaxial three-telescope, the spherical aberration, coma and astigmatism are optimized and combined with the optimization evaluation function to obtain the aspheric high-order coefficient of the telescope system mirror surface, and the optical system of the telescope The aberration coefficient, the energy map, and the wavefront maps and modulation transfer function maps for each field of view. The results show that the design of the coaxial three-reflection telescope is reasonable and the design principle and method can be further extended to the off-axis three-reflection system.