6 April 2017 Action of a generalized parabolic (aspheric) lens in different optical models
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Proceedings Volume 10342, Optical Technologies for Telecommunications 2016; 103420I (2017) https://doi.org/10.1117/12.2268865
Event: XIV International Scientific and Technical Conference on Optical Technologies in Telecommunications, 2016, Samara, Russian Federation
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.
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A. V. Ustinov, "Action of a generalized parabolic (aspheric) lens in different optical models", Proc. SPIE 10342, Optical Technologies for Telecommunications 2016, 103420I (6 April 2017); doi: 10.1117/12.2268865; https://doi.org/10.1117/12.2268865
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