摘要
提出了一种基于多种群遗传算法(MPGA)的折反射全景成像系统非球面元件的设计方法。结合广义科丁顿公式及几何光学原理,推导出非球面两镜系统像散表达式。在此基础上,利用MPGA,以像散作为非球面两镜系统像差评价参数,求解出满足消像散及指定透视投影关系的非球面面形方程。给出MPGA求解非球面面形的实现过程,并用遗传算法最小二乘混合优化算法得到了便于实现光线追迹和像差计算的非球面多项式。研制了一个焦距为-1.2 mm,F数为1.5,视场为360°×(35-90°)的折反射全景成像系统,给出了实验图像,获得了较好的成像质量。
A design method of aspherical surface for a panoramic imaging system with two mirrors was proposed based on Multi-population Genetic Algorithms(MPGA). To eliminate the astigmatisms induced by mirrors and to improve the image resolution, an algebraic expression of astigmatism for panoramic imagers was induced based on the generalized Coddington equation and the theory of geometric optics. Then, an optimization process for mirror profile design was proposed to eliminate the astigmatism and to provide a purposely-designed projection formula with aid of the MPGA. A series of polynomial expressions of aspherical surfaces were obtained and procedures of the design were presented. In order to facilitate ray tracing and aberration calculation, an even asphere surface model was established by using a hybrid scheme combining the MPGA and the damped least squares. Finally, a prototype of the omnidirectional panoramic imager with f' of --1.2 mm and F/# 1.5 for 360° (35 -90°) was developed,which can provide clear panoramic ring images.
出处
《光学精密工程》
EI
CAS
CSCD
北大核心
2009年第5期1020-1025,共6页
Optics and Precision Engineering
基金
吉林省科技厅资助项目
关键词
全景成像系统
非球面
多种群遗传算法
光学设计
panoramic imaging system
aspherical surface
multi-population genetic algorithm (MPGA)
optical design