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Proceedings Paper

Action of a generalized parabolic (aspheric) lens in different optical models
Author(s): A. V. Ustinov
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Paper Abstract

An action survey of the optical elements class named by generalized parabolic lens is cited in this paper. The approximately-analytical and numerical analysis of radiation transformation realized by the generalized parabolic lens is described within the limits of different theories: geometrical-optics and wave (paraxial and nonparaxial). The types of refracting aspherical surfaces described with power function are defined on base of the geometrical-optics analysis. The surfaces allow forming characteristic intensity distributions on an optical axis. A paraxial propagation of laser beam with an initial arbitrary power phase function is described with approximate analytical expressions which are agreed qualitatively with the geometrical-optics analysis. The obtained expressions are precise for exponents 1 and 4. A nonparaxial analysis is implemented on base of calculation of the Rayleigh-Sommerfeld integral with qualifying corrections. It is shown that essential growth of intensity in the focus happens at the exponent value from 1 to 2, and the maximal intensity is achieved in a middle of the range.

Paper Details

Date Published: 6 April 2017
PDF: 12 pages
Proc. SPIE 10342, Optical Technologies for Telecommunications 2016, 103420I (6 April 2017); doi: 10.1117/12.2268865
Show Author Affiliations
A. V. Ustinov, IPSI RAS (Russian Federation)
Samara National Research Univ. (Russian Federation)

Published in SPIE Proceedings Vol. 10342:
Optical Technologies for Telecommunications 2016
Vladimir A. Andreev; Anton V. Bourdine; Vladimir A. Burdin; Oleg G. Morozov; Albert H. Sultanov, Editor(s)

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