Skip to main content
SpringerLink
Log in

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

  • Fluids
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. I. M. Lifshitz, S. A. Gredeskul, and L. A. Pastur, Introduction to the Theory of Disordered Systems, Wiley, N. Y., 1988 [Russian original, Nauka, Moscow, 1982].

    Google Scholar 

  2. V. I. Klyatskin, The Embedding Method in the Theory of Wave Propagation [in Russian], Nauka, Moscow, 1986.

    Google Scholar 

  3. V. I. Klyatskin and A. I Saichev, Usp. Fiz. Nauk 162, 161 (1992) [Sov. Phys. Usp. 35, 231 (1992)].

    Google Scholar 

  4. V. I. Klyatskin, Prog. Opt. 33, 1 (1994).

    MathSciNet  Google Scholar 

  5. D. Segupta, L. Piterbarg, and G. Reznik, Dyn. Atmos. Oceans 17, 1 (1992).

    Google Scholar 

  6. J. Pedlosky, Geophysical Fluid Dynamics, Springer-Verlag, N. Y., 1987, 2nd edition [Russian translation, Mir, Moscow, 1984].

    Google Scholar 

  7. R. E. Thomson, J. Fluid Mech. 70, 267 (1982).

    ADS  Google Scholar 

  8. G. M. Reznik and T. B. Tsybaneva, Okeanologiya 34, 5 (1994).

    Google Scholar 

  9. V. I. Klyatskin, Izv. Ross. Akad. Nauk, Fiz. Atmos. Okeana 32, 824 (1996).

    Google Scholar 

  10. V. I. Klyatskin, Stochastic Equations and Waves in Randomly Inhomogeneous Media [in Russian], Nauka, Moscow, 1980.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Atmospheric Physics, Russian Academy of Sciences, 109017, Moscow, Russia

    N. V. Gryanik

  2. Institute of Atmospheric Physics, Russian Academy of Sciences, 109017, Moscow, Russia

    V. I. Klyatskin

Authors
  1. N. V. Gryanik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Klyatskin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Zh. Éksp. Teor. Fiz. 111, 2030–2043 (June 1997)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gryanik, N.V., Klyatskin, V.I. Contribution to the statistical theory of wave localization in a two-layered medium. J. Exp. Theor. Phys. 84, 1106–1113 (1997). https://doi.org/10.1134/1.558247

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.558247

Keywords

Search

Navigation