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Avtometriya

2019 year, number 1

MATHEMATICAL APPARATUS FOR CALCULATIMG THE MICROSTRUCTURE OF A HARMONIC KINOFORM LENS

A. I. Antonov, G. I. Greisukh, E. G. Ezhov, E. A. Ryzhova
Penza State University of Architecture and Construction, ul. Germana Titova 28, Penza, 440028
Keywords: гармоническая киноформная линза, гармоническая зона Френеля, пилообразная рельефно-фазовая микроструктура, условие таутохронности, продольный хроматизм, harmonic kinoform lens, harmonic Fresnel zone, tautochronism, longitudinal chromatism

Abstract

The paper presents a mathematical apparatus based on the requirement of preserving tautochronism in each of the diffraction orders of a harmonic kinoform lens. The apparatus was used as the basis of a method for calculating the lens microstructure.яThe method limits the relative longitudinal chromatism of the lens to a given level and provides the initial parameters necessary for the radial calculation and optimization of the optical system with a harmonic kinoform lens using well-known commercial optical design computer programs