Abstract

A technique for the exact solution of two-dimensional and three-dimensional geometric-optical synthesis of dielectric bifocal lenses has been developed. The technique is based on the successive finding of the lens surface areas with the assignment of the initial area of one of the surfaces. The initial portion of the other lens surface is found as a result of flat front synthesis for the center beam position. The technique ensures the continuity of the functions describing the lens surfaces as well as their first and second (for a two-dimensional problem) derivatives. The dependence of the mean-square aberration on the lens parameters is studied. As an example, two-dimensional bifocal lenses for angles view of 400 and 900 as well as a three-dimensional bifocal lens for angle of view of 900 have been synthesized and optimized

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