一种用于均匀照明的衍射光学元件设计的快速模拟退火法  

A Fast SA Algorithm for the Design of DOE for Uniform Illumination

作　　者：刘洪亮[1] 赵逸琼[1] 李永平[1] 付绍军[2] 张巍[1] 张晓波[1] 舒方杰[1] 

机构地区：[1]中国科学技术大学物理系,安徽合肥230026 [2]中国科学技术大学同步辐射实验室,安徽合肥230027

出　　处：《计算物理》2005年第3期240-244,共5页Chinese Journal of Computational Physics

摘　　要：　介绍了一种适用于均匀照明的衍射光学元件设计的自洽迭代和优化混合的快速模拟退火法,它引入Tsallis正则分布以及相应的效用函数思想,可以在接近1%的时间内得到和传统模拟退火法有着相同均方差(MSE)的理想模拟结果.A fast simulation annealing(SA)algorithm for the design of diffractive optical elements(DOE) for uniform illumination is presented.The Tsallis statistic and corresponding utility function are introduced into a hybrid algorithm in which the self-iterative and SA algorithms are combined to enhance the efficiency.Compared with traditional SA algorithm,simulated results show that it saves 99% of time to converge the incident energy into a desired region with the same mean square error(MSE).

关 键 词：模拟退火法 元件设计 衍射光学 均匀照明 种用 函数思想 正则分布 模拟结果 均方差 迭代 自洽 理想 时间 

分 类 号：O224[理学—运筹学与控制论] TQ172.632[理学—数学]