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Bulletin of the Lebedev Physics Institute

, Volume 42, Issue 1, pp 10–12 | Cite as

Phase function method in problems of acoustic wave scattering

  • V. P. DzyubaEmail author
  • R. V. Romashko
  • I. N. Zavestovskaya
  • Yu. N. Kulchin
Article

Abstract

A generalization of the phase function method known in quantum mechanics to the problems of acoustic wave scattering on continuous medium inhomogeneities is proposed. The idea of the use of this method in acoustics is based on the fact that the wave equation for the acoustic potential or pressure in an inhomogeneous medium is reduced to the Schrödinger equation with a variable scattered field potential by a special substitution.

Keywords

acoustic wave scattering phase function method 

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References

  1. 1.
    V. V. Babikov, Phase Function Method in Quantum Mechanics (Nauka, Moscow, 1976) [in Russian].Google Scholar
  2. 2.
    L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Fizmatlit, Moscow, 2002; Pergamon, New York, 1977).Google Scholar
  3. 3.
    L. M. Brekhovskikh, Waves in Layered Media (AN SSSR, Moscow, 1957) [in Russian].Google Scholar
  4. 4.
    L. F. Lependin, Acoustics (Vysshaya Shkola, Moscow, 1978) [in Russian].Google Scholar

Copyright information

© Allerton Press, Inc. 2015

Authors and Affiliations

  • V. P. Dzyuba
    • 1
    Email author
  • R. V. Romashko
    • 1
  • I. N. Zavestovskaya
    • 2
    • 3
  • Yu. N. Kulchin
    • 1
    • 3
  1. 1.Institute of Automation and Control ProcessesFar-East Branch of the Russian Academy of SciencesVladivostokRussia
  2. 2.Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia
  3. 3.National Research Nuclear University “MEPhI”MoscowRussia

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