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基于遗传算法的全息光栅逆向优化设计
引用本文: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,2014,0(11):1297-1300.
作者姓名:朱苏云  张国斌  刘正坤  孔帅  崔胜涛  孙喆
作者单位:中国科学技术大学 国家同步辐射实验室, 合肥 230029
基金项目:国家自然科学基金(No.11105145,No.11275205)和国家高技术研究发展计划(No.2012CB922000)资助
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.

关 键 词:全息光栅  点列图  遗传算法  优化设计
收稿时间:2012-03-06

Reverse Design Method of Holographic Grating by Genetic Algorithm
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,2014,0(11):1297-1300.
Authors:ZHU Su-yun  ZHANG Guo-bin  LIU Zheng-kun  KONG Shuai  CUI Sheng-tao  SUN Zhe
Institution:National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230029 China
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.
Keywords:Concave holographic grating  Spot diagrams  Genetic algorithm  Optimization design
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