Journal of Experimental and Theoretical Physics

, Volume 84, Issue 6, pp 1106–1113

Contribution to the statistical theory of wave localization in a two-layered medium

  • N. V. Gryanik
  • V. I. Klyatskin

DOI: 10.1134/1.558247

Cite this article as:
Gryanik, N.V. & Klyatskin, V.I. J. Exp. Theor. Phys. (1997) 84: 1106. doi:10.1134/1.558247


A very simple system of stochastic boundary-value wave equations that describes the interaction of two types of waves in a randomly inhomogeneous medium is studied. The statistics of the reflection and transmission coefficients for the incident and excited waves are discussed. It is shown that the excitation of waves is statistically equivalent to switching on damping for the initial incident waves which are localized in separate specific realizations. The parameters of the length of such localization are estimated in terms of the spectral density of the variations of the medium. It is also shown that for excited waves there is no dynamical localization, and the transmission coefficients for them are estimated.

Copyright information

© American Institute of Physics 1997

Authors and Affiliations

  • N. V. Gryanik
    • 1
  • V. I. Klyatskin
    • 2
  1. 1.Institute of Atmospheric PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Institute of Atmospheric PhysicsRussian Academy of SciencesMoscowRussia
  3. 3.Pacific Ocean Oceanological InstituteFar-East Division of the Russian Academy of ScienceVladivostokRussia

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