Computer tool for achromatic and aplanatic cemented doublet design and analysis

Abstract

Algorithm and computer tool for cemented doublet synthesis by Slusarev’s methodology are presented. Slusarev’s methodology is based on lookup tables that allow calculating doublet radii by given value of third-order coma, spherical aberration and chromatic aberration using specific algorithm. The most time-consuming part of cemented doublet synthesis by Slusarev’s methodology is selection needed parameters from lookup tables. This part is automated and presented in this paper. The input parameters for tool are desired values of third-order coma, spherical aberration and chromatic aberration of cemented doublet. The tool looks up several appropriate pairs of optical glasses corresponding to specified value of chromatic aberration and then calculates radii of surfaces for each pair of glasses corresponding to specified third-order coma and spherical aberration. The resulted third-order aberrations and real aberrations (transverse, longitudinal, axial color and coma) are calculated for obtained system. Several doublets can be analyzed in result table and the chosen one can be imported into Zemax. The calculated cemented doublet parameters can be analyzed and optimized in optical system design software. The tool allows making the first step of optical system design fast and simple. It allows to design not only the system which is free of the third-order spherical aberration, coma and axial color, but obtain necessary value of aberration for compensation of aberrations in another part of optical system. Possibility to automatically choose optical glasses and compare the real aberration of the preliminary designed system is especially important features of the developed software.