基于权重函数优化的渐进多焦点镜片设计  

Design of Progressive Addition Lens Based on Weight Function Optimization

作　　者：王亚琼 项华中[1] 詹小蝶 张云进 丁琦慧 张欣[1] 郑刚[1,4] 陈家璧[3] 王成[1,4] 张大伟[2,3] 庄松林[2,3] Wang Yaqiong;Xiang Huazhong;Zhan Xiaodie;Zhang Yunjin;Ding Qihui;Zhang Xin;Zheng Gang;Chen Jiabi;Wang Cheng;Zhang Dawei;Zhuang Songlin(Institute of Medical Optics and Optometry,School of Health Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;Engineering Research Center of Optical Instruments and Systems,Ministry of Education,University of Shanghai for Science and Technology,Shanghai 200093,China;School of Optical-Electrical and Computer Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;Shanghai Engineering Research Center of Interventional Medical Device,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学健康科学与工程学院医学光学与视光学研究所,上海200093 [2]上海理工大学教育部光学仪器与系统工程研究中心,上海200093 [3]上海理工大学光电信息与计算机工程学院,上海200093 [4]上海理工大学上海介入医疗器械工程技术研究中心,上海200093

出　　处：《光学学报》2023年第8期401-409,共9页Acta Optica Sinica

基　　金：国家自然科学基金(61605114)。

摘　　要：探究渐进多焦点镜片间接法设计中权重函数和平均曲率分布对镜片光焦度和像散的影响。设计了两组权重函数分布以及平均曲率分布,提出了根据符合度矩阵重置镜片权重分布的优化方法。在相同参数下计算出5组具有不同权重函数和平均曲率分布的渐进多焦点自由曲面面型。对镜片进行加工和评价测量,实验结果表明:权重函数的形状、面积以及权重值的不同,可对镜片光学性能带来不同方面的优化,且权重函数和平均曲率分布共同影响镜片的光焦度和像散分布。Objective Progressive addition lenses(PALs)are commonly used to correct presbyopia and prevent pseudomyopia and other visual accommodation disorders in adolescents.Compared with conventional single-vision lenses,bifocal lenses,and trifocal lenses,the focal length of a PAL changes gently from far to near,and the lens has no obvious boundary of imaging distortion.The shape is well-designed,and it only needs one pair of glasses to look far and closely.At present,the design methods of progressive freeform surfaces are mainly divided into two types:direct method and indirect method.The direct method directly calculates the sag distribution of the entire surface based on the mean curvature.However,this method may make peripheral astigmatism become two times the addition power(ADD),which will affect the visual imaging effect.By constructing the model of mean curvature and principal curvature difference and solving a specific high-order partial differential equation to minimize it,the indirect design method obtains the sag value of the PAL indirectly,which can reduce peripheral astigmatism more effectively while ensuring the lens's photo focal quality.At present,the research on the design of the PAL indirect method mainly focuses on surface optimization,and there is less research on the optimization of the weight function design algorithm.Therefore,based on the existing research,this paper realizes the optimization of the PAL by optimizing the weight function and the mean curvature distribution in the construction of the minimization model algorithm,so as to explore their influence on the optical performance optimization of PALs.Methods According to a PAL minimization model algorithm in the present studies,two groups of weight functions and mean curvature distributions were first designed,and three groups of free-form PALs with different weight functions and mean curvature distributions were calculated respectively.In the next step,an optimization method was proposed to reset the weight distribution of the lenses accordi

关 键 词：光学设计 渐进多焦点镜片 权重函数 曲率分布 自由曲面 

分 类 号：TH74[机械工程—光学工程]