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The “cumulant” method for solution of problems of wave propagation in random media

Atmospheric and Oceanic Optics volume 24, pages 1–5 (2011)Cite this article

Abstract

The “cumulant” method for solving problems of radiation propagation in randomly inhomogeneous media is described. Integral expressions for statistical moments of the wave complex amplitude in general form with the Feynman representation of Green’s function of the quasioptics parabolic equation have been obtained in the framework of the “cumulant” method. It was shown that taking into account some approximation of the processes of radiation multiple scattering in the “cumulant” method allows us to obtain expressions for statistical moments of intensity to an accuracy sufficient to restore the lognormal distribution function.

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Authors and Affiliations

  1. Obninsk State Technical University of Nuclear Energy, Studgorodok, 1, Obninsk, 249040, Russia

    R. Kh. Almaev

  2. A.I. Leipunskii State Scientific Center of Russian Federation, pl. Bondarenko 1, Obninsk, 249033, Russia

    A. A. Suvorov

Authors
  1. R. Kh. Almaev
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  2. A. A. Suvorov
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Original Russian Text © R.Kh. Almaev, A.A. Suvorov, 2011, published in Optica Atmosfery i Okeana.

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Almaev, R.K., Suvorov, A.A. The “cumulant” method for solution of problems of wave propagation in random media. Atmos Ocean Opt 24, 1–5 (2011). https://doi.org/10.1134/S1024856011010040

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  • DOI: https://doi.org/10.1134/S1024856011010040

Keywords

  • Statistical Moment
  • Inhomogeneous Medium
  • Complex Phase
  • Turbulent Atmosphere
  • Laser Beam Propagation