光子学报, 2012, 41 (11): 1297, 网络出版: 2012-11-06
基于遗传算法的全息光栅逆向优化设计
Reverse Design Method of Holographic Grating by Genetic Algorithm
摘要
光栅是单色仪的核心器件,光栅的像差校正能力对单色仪性能有着决定性作用.本文研究了基于光线追迹点列图数值分析的遗传算法实现,建立了针对全息光栅成像质量的评价函数,并利用遗传算法实现了全息光栅的优化设计.结果表明,利用遗传算法可以简化求解过程,降低最优参量的误差,并克服局部极值的问题,明显优于阻尼最小二乘法.
Abstract
A grating is a key component of the monochromators, and its aberration correcting ability is a decisive factor for the properties of the monochromators. In this paper, a spot diagram method with the genetic algorithm is studied. The genetic algorithm is applied to optimize the merit function for its strong ability to search the extremum of nonlinear functions. A comparison between this method and the damped least squares method is given, and the result shows that the proposed method is much superior to the damped least squares method.
朱苏云, 张国斌, 刘正坤, 孔帅, 崔胜涛, 孙喆. 基于遗传算法的全息光栅逆向优化设计[J]. 光子学报, 2012, 41(11): 1297. ZHU Su-yun, ZHANG Guo-bin, LIU Zheng-kun, KONG Shuai, CUI Sheng-tao, SUN Zhe. Reverse Design Method of Holographic Grating by Genetic Algorithm[J]. ACTA PHOTONICA SINICA, 2012, 41(11): 1297.