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Transformation of a monochromatic plane wane by the pulse-periodic time modulation of an infinite medium

  • Theoretical and Mathematical Physics
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Abstract

An exact solution to the problem of the transformation of a monochromatic plane wave by a finite train of equally spaced rectangular pulses of permittivity and conductivity of an infinite medium is considered. The permittivity pulse train is shifted relative to the conductivity pulse train by an arbitrary time. The problem is studied analytically in terms of the second-order Volterra integral equation describing the electromagnetic wave transformation in a medium with time-dependent parameters. The equation is solved using the resolvent technique. Expressions for the amplitude of the transformed electric field component for any time instant at any spatial point are derived and analyzed.

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Authors and Affiliations

  1. Kharkov State Technical University, Kharkov, 310726, Ukraine

    O. N. Rybin & N. I. Slipchenko

Authors
  1. O. N. Rybin
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  2. N. I. Slipchenko
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__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 71, No. 7, 2001, pp. 7–13.

Original Russian Text Copyright © 2001 by Rybin, Slipchenko.

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Rybin, O.N., Slipchenko, N.I. Transformation of a monochromatic plane wane by the pulse-periodic time modulation of an infinite medium. Tech. Phys. 46, 789–795 (2001). https://doi.org/10.1134/1.1387533

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  • DOI: https://doi.org/10.1134/1.1387533

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