振动失调下光学系统光线追迹仿真计算

Simulation of Ray Tracing in Misaligned Optical System under Mechanical Vibration

运动平台上的光学系统不可避免的产生镜面失调,如何描述失调光学系统的光路传输是一个非常迫切的问题。本文利用Matlab符号运算,通过两次坐标旋转和坐标平移得出了失调镜面方程,随后用矢量形式反射定律求出光线经过失调镜面后的方向矢量,通过光线追迹法,建立了失调光路传输模型。实例计算中,以某仪器的望远镜结构为光学模型,用Patran_Nastran的瞬态求解功能,求得在xyz方向同时加载相应正弦振动时镜面的失调位移,随后利用光路传输模型,得出了过主镜中心的光线(视轴)经主镜、次镜和反射镜反射后的最大抖动角度分别为0.0034°,0.0161°,0.0177°,并且得出了光斑在靶面及空间运动轨迹。

A simulation of light beam propagation in the misaligned optical system under mechanical vibration is deduced by the means of ray tracing method based on coordinate transformation and reflection law. A telescope structure of an apparatus was constructed which was then imported into Patran_Nastran to perform a transient response after sine vibrations was applied in the xyz directions simultaneously so as to obtain the displacement of key points of mirrors. Then, the displacement was used by the simulation program to compute the jitter angles. The amplitude of beam jitter angles were 0.003 4°, 0.016 1°, 0.017 7° respectively after optical beam reflected by primary mirror, secondary mirror and reflection mirror. Moreover, the traces of facula in the target plane and in the space were drawn.