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具有二次非球面表面的消球差胶合双合透镜的代数解。

Algebraic solution for aplanatic cemented doublets with aspherical surfaces of second degree.

作者信息

Novák Jiří, Mikš Antonín

出版信息

Appl Opt. 2023 Sep 1;62(25):6697-6704. doi: 10.1364/AO.496028.

DOI:10.1364/AO.496028
PMID:37706802
Abstract

An algebraic method of an initial design of the aplanatic cemented doublet with a unit focal length is described. Based on the third-order aberration theory, algebraic equations are derived for calculating the design parameters of an aplanatic thin cemented doublet with spherical surfaces and aspherical surfaces of the second degree. These equations make it easy to determine whether there exists a real solution of the doublet design for required parameters. The results of the calculations of selected cemented doublet solutions are presented in the examples. The obtained parameters can be used as the starting solution for the final optimization of doublet designs.

摘要

描述了一种用于初始设计单位焦距齐明胶合双合透镜的代数方法。基于三阶像差理论,推导了用于计算具有球面和二次非球面的齐明薄胶合双合透镜设计参数的代数方程。这些方程便于确定对于所需参数双合透镜设计是否存在实解。示例中给出了所选胶合双合透镜解的计算结果。所获得的参数可作为双合透镜设计最终优化的初始解。

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