基于遗传算法的渐进多焦点镜片子午线优化设计  

Optimization Design of the Meridian Line of Progressive Addition Lenses Based on Genetic Algorithm

作　　者：唐运海[1] 吴泉英[1] 陈晓翌 张皓[1] 吴宇龙 

机构地区：[1]苏州科技学院数理学院,江苏苏州215009 [2]苏州苏大明世光学股份有限公司,江苏苏州215028

出　　处：《光学学报》2014年第9期245-251,共7页Acta Optica Sinica

基　　金：江苏省产学研前瞻性联合研究项目(BY2013031);苏州市应用基础研究计划(SYG201323);苏州市重点实验室项目(SZS201202)

摘　　要：根据遗传算法不依赖于具体优化目标且稳健性强的特点,提出运用遗传算法来寻找渐进多焦点眼镜片最优子午线的设计方案。基于子午线平滑方程,用二进制字符串(染色体)表示渐进多焦点眼用镜片子午线曲率变化曲线多项式系数。运用罚函数法和线性加权法将渐进多焦点镜片的光焦度和散光度多目标规划化成单目标函数。根据目标函数进行选择、交叉和变异,产生新一代染色体种群,循环搜索渐进多焦点镜片子午线最优系数。最后通过两个优化实例并加工成镜片样品进行测试分析,结果表明设计结果与实际测试结果基本相符。As the genetic algorithm is robust and independent of the specific optimization objectives, a method is presented that the best design of meridian line of progressive addition lenses is found through genetic algorithm. The polynomial coefficients of the meridian line are represented by binary character strings（chromosome） based on the smoothing equation. The multiple objectives of the power and astigmatism of the progressive addition lens are transformed into a single objective function through punish function and linear combination method. Selection, crossover and mutation operations are processed on the chromosomes to produce new generation population according to the objective evaluation function. The processing is repeated to find the best polynomial coefficients of the meridian line. Two optimizing examples are implemented and the optimized progressive addition lens is manufactured and tested. The results demonstrate that two optimized designs and the practical manufactured progressive addition lenses consist with each other.

关 键 词：光学设计 渐进多焦点镜片 子午线 遗传算法 散光度 光焦度 

分 类 号：TH74[机械工程—光学工程]