Synthesis and analysis of constrained polyfocal lenses with symmetric focal curves

Abstract

The problems of synthesis of bifocal, trifocal, and quadrifocal constrained lenses with symmetric focal curves are solved. The solution of the problem for the shape of the lens surface in the first case is obtained in the explicit analytical form and, in the other cases, in a parametric analytical form. Based on the numerical study of the eikonal, parameters of the lenses are optimized and the analysis of the eikonal aberrations of the optimized lenses is performed for two values of the maximum angle of view: 60° and 90°. The results of a numerical experiment for a planar constrained quadrifocal lens and a maximum angle of view of 60° are presented.