面向经济公差应用的波像差拟合研究  

Wavefront Aberration Fitting for Economic Tolerance Application

作　　者：姜浩 胡源 霍家琦 赵智亮 付跃刚 Jiang Hao;Hu Yuan;Huo Jiaqi;Zhao Zhiliang;Fu Yuegang(Key Laboratory of Opto-Electronic Measurement and Optical Information Transmission Technology of Ministry of Education,School of Opto-Electronic Engineering,Changchun University of Science and Technology,Changchun 130022,Jilin,China;Chengdu Tyggo Photo-Electricity Co.,Ltd.,Chengdu 610041,Sichuan,China)

机构地区：[1]长春理工大学光电工程学院光电测控与光信息传输技术教育部重点实验室,吉林长春130022 [2]成都太科光电技术有限责任公司,四川成都610041

出　　处：《光学学报》2023年第13期235-243,共9页Acta Optica Sinica

摘　　要：利用二阶泰勒形式表示公差与波像差的函数关系,依据差分光线追迹法,通过光线追迹理论推导完善了偏心和倾斜两种公差关于波像差的一阶导数计算公式,利用依次求导和公式移项两种方法建立波像差的二阶导数模型。结果表明:依次求导法的求解过程复杂,应用范围受到限制,只可用于光学后截距分析;公式移项法所需的追迹像质次数少,且拟合效果良好,残差平方和处于10^(-7)~10^(-6)量级;所提方法可对光学系统进行有效的经济公差分配。Objective Economic tolerance is characterized by meeting the image quality requirements and minimizing processing costs,and it thus achieves looser tolerances.In nature,it is the balance of the relationship between image quality and processing costs.At present,in the research related to the establishment of the relationship function between image quality and tolerance,the theory is macro,and modulation transfer function(MTF)is mostly used as the image quality evaluation standard for detailed study,which makes the image quality single.In the analysis based on ray tracing theory,only three structural parameters,namely the radius of curvature,thickness,and refractive index are included,with fewer types.In addition,in the current method,the differential ray tracing method cannot ensure the accuracy of the image quality function in some instances.In contrast,the Youngworth method results in excessive image quality traces.Therefore,we wish to enrich the image quality evaluation methods and improve the types of structural parameters.Meanwhile,we propose methods that have high precision and can reduce the number of image quality traces.Methods The functional relationship between the tolerance and the image quality is usually expressed by the form of the second-order Taylor formula.In the equation,the first-order derivative and the second-order derivative are called the firstorder sensitivity coefficient and the second-order sensitivity coefficient,which can be collectively referred to as the sensitivity coefficient.The sensitivity coefficient effectively measures the sensitivity of the image quality to the structural parameters.The first-order sensitivity coefficient determines the trend of the image quality.Due to the analysis of the effect of two different structural parameters on the image quality,the second-order sensitivity coefficient ensures the accuracy of the image quality function.In this paper,wavefront aberration is used as the image quality evaluation criterion.The first-order sensitivity coefficients of ecc

关 键 词：光计算 光学加工 经济公差 波像差 光线追迹 仿真分析 

分 类 号：O439[机械工程—光学工程]