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Bessel–Gaussian Beams in an Inhomogeneous Medium
Authors:T M Korneichik  A P Khapalyuk
Institution:(1) A. N. Sevchenko Institute of Applied Physical Problems, Belarusian State University, 7 Kurchatov Str., Minsk, 220064, Belarus
Abstract:Solutions of the parabolic equation which describes propagation of Bessel–Gaussian beams along the axis of an axially-symmetric medium having quadratic inhomogeneity have been obtained and investigated. It is shown that in the process of propagation the parameters of the beams change nonmonotonically. In the case of a transparent medium the beams periodically recover their initial structure.
Keywords:Gaussian beam  Bessel–  Gaussian beam  quadratically inhomogeneous medium  diffraction-free beam  Helmholtz equation  parabolic equation
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