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Wave packets in smoothly inhomogeneous dispersive media

  • Atoms, Spectra, Radiation
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Abstract

In the quasi-optical aberration-free approximation, a parabolic equation for the envelope of an electromagnetic wave packet propagating along a geometric optical ray in a smoothly inhomogeneous isotropic medium with time dispersion is obtained. The corresponding Green’s function is found whose parameters are determined by integrating a system of ordinary differential equations. The effects of the combined influence of the refraction, diffraction, and dispersion on the evolution of the packet are analyzed; in particular, the effects that cause precession of the envelope waves about the binormal to the propagation trajectory are considered.

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, ul. Ul’yanova 46, Nizhnii Novgorod, 603600, Russia

    G. V. Permitin & A. I. Smirnov

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  1. G. V. Permitin
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  2. A. I. Smirnov
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__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 119, No. 1, 2001, pp. 16–26.

Original Russian Text Copyright © 2001 by Permitin, Smirnov.

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Permitin, G.V., Smirnov, A.I. Wave packets in smoothly inhomogeneous dispersive media. J. Exp. Theor. Phys. 92, 10–19 (2001). https://doi.org/10.1134/1.1348457

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