基于可校正强化搜索遗传算法的光学系统自动设计  

Automatic design of optical systems based on correctable reinforced search genetic algorithm

作　　者：刘栋 李晨航 吴长茂[3] 茹法鑫 夏媛媛 LIU Dong;LI Chenhang;WU Changmao;RU Faxin;XIA Yuanyuan(College of Computer and Information Engineering,Henan Normal University,Xinxiang Henan 453007,China;Henan Provincial Key Laboratory of Artificial Intelligence and Personalized Learning in Education,Xinxiang Henan 453007,China;Science&Technology on Integrated Information System Laboratory,Institute of Software,Chinese Academy of Sciences,Beijing 100190,China)

机构地区：[1]河南师范大学计算机与信息工程学院,河南新乡453007 [2]教育人工智能与个性化学习河南省重点实验室,河南新乡453007 [3]中国科学院软件研究所天基综合信息系统重点实验室,北京100190

出　　处：《计算机应用》2024年第9期2838-2847,共10页journal of Computer Applications

基　　金：国家重点研发计划项目(2021YFB3601401);国家自然科学基金资助项目(62072160)。

摘　　要：阻尼最小二乘法(DLS)与遗传算法(GA)均适用于光学系统自动设计,前者搜索效率高但极易陷入局部极值陷阱,后者光学结构参数空间全局搜索能力强但局部搜索能力弱。针对上述问题,提出一种可校正强化搜索GA(CRSGA)。该算法在GA基础上进行了两方面的改进:首先,在GA交叉算子后,引入DLS增强局部搜索能力;其次,引入校正策略,即在下轮迭代前按比例回滚进化后评价函数值变差的个体以校正进化结果。选取双高斯(DG)、反远摄(RT)和有限共轭距成像(FCDI)这3种典型光学系统设计实验以验证CRSGA的有效性,CRSGA优化效果优于DLS、GA,且依次优于商业光学设计软件Zemax阻尼最小二乘法约8.92%、12.19%和9.39%,特别是优化结果分别达到Zemax HAMMER算法的99.98%、94.33%和88.45%。实验结果表明,所提算法对光学系统优化效果良好,可用于光学系统自动设计工作。Both the Damped Least Squares(DLS)and Genetic Algorithm(GA)are applicable to automatic design of optical systems.Although DLS has a high search efficiency,it is susceptible to falling into local optima traps.Conversely,GA has strong global search capability in the parameter space of optical structures but weak local search capability.To address these challenges,a Correctable Reinforced Search GA(CRSGA)was proposed.Firstly,DLS was introduced after the GA crossover operation to enhance local search capability.Additionally,a correction strategy was introduced to rollback individuals with deteriorated fitness values before the next iteration,thereby achieving corrective evolutionary results.The improvement of two aspects to genetic algorithm enhanced strengths and compensated for weaknesses.Three typical optical system design experiments,including Double Gaussian(DG),Reversed Telephoto(RT),and Finite Conjugate Distance Imaging(FCDI),were conducted to validate the effectiveness of CRSGA.CRSGA outperforms both DLS and GA,and its optimization outcomes are about 8.92%,12.19%,and 9.39%respectively better than those of commercial optical design software Zemax DLS.In particularly,the optimization outcomes achieve a significant improvement,reaching 99.98%,94.33%,and 88.45%respectively compared to the Zemax HAMMER algorithm.In conclusion,it is shown that the proposed algorithm is effective for optical system optimization and can be used for automatic optical system design.

关 键 词：光学系统设计 光学优化 阻尼最小二乘法 全局优化 改进遗传算法 

分 类 号：TP39[自动化与计算机技术—计算机应用技术]