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Nonstationary reflections of waves in media with fractal dispersion

  • Electrodynamics and Wave Propagation
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Abstract

Numerical and analytical solutions to the problem of wave reflection in a one-dimensional medium with fractal frequency dispersion have been obtained by using the invariant-immersion method with the multiple-scattering and long-term-memory effects taken into account. As the characteristics of the medium, the solutions to the equations of the fractional relaxator and oscillator are used. The specific features of the reflections are considered for various fractal-dispersion properties. The applicability of the obtained solutions to the diagnostic of dielectrics, plasma, and elastic bodies is discussed.

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Authors and Affiliations

  1. Institute of Cosmophysical Research and Wave-Propagation, Far East Branch, Russian Academy of Sciences, ul. Mirnaya 7, Paratunka, Kamchatskii krai, 684034, Russia

    A. S. Perezhogin & B. M. Shevtsov

Authors
  1. A. S. Perezhogin
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  2. B. M. Shevtsov
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Correspondence to A. S. Perezhogin.

Additional information

Original Russian Text © A.S. Perezhogin, B.M. Shevtsov, 2014, published in Radiotekhnika i Elektronika, 2014, Vol. 59, No. 1, pp. 46–52.

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Perezhogin, A.S., Shevtsov, B.M. Nonstationary reflections of waves in media with fractal dispersion. J. Commun. Technol. Electron. 59, 40–46 (2014). https://doi.org/10.1134/S1064226914010100

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  • DOI: https://doi.org/10.1134/S1064226914010100

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