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Phase function method in problems of acoustic wave scattering

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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.

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References

  1. V. V. Babikov, Phase Function Method in Quantum Mechanics (Nauka, Moscow, 1976) [in Russian].

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  2. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Fizmatlit, Moscow, 2002; Pergamon, New York, 1977).

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  3. L. M. Brekhovskikh, Waves in Layered Media (AN SSSR, Moscow, 1957) [in Russian].

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  4. L. F. Lependin, Acoustics (Vysshaya Shkola, Moscow, 1978) [in Russian].

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Authors and Affiliations

  1. Institute of Automation and Control Processes, Far-East Branch of the Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041, Russia

    V. P. Dzyuba, R. V. Romashko & Yu. N. Kulchin

  2. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii pr. 53, Moscow, 119991, Russia

    I. N. Zavestovskaya

  3. National Research Nuclear University “MEPhI”, Kashirskoe sh. 31, Moscow, 115409, Russia

    I. N. Zavestovskaya & Yu. N. Kulchin

Authors
  1. V. P. Dzyuba
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  2. R. V. Romashko
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  3. I. N. Zavestovskaya
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  4. Yu. N. Kulchin
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Corresponding author

Correspondence to V. P. Dzyuba.

Additional information

Original Russian Text © V.P. Dzyuba, R.V. Romashko, I.N. Zavestovskaya, Yu.N. Kulchin, 2015, published in Kratkie Soobshcheniya po Fizike, 2015, Vol. 42, No. 1, pp. 54–57.

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Dzyuba, V.P., Romashko, R.V., Zavestovskaya, I.N. et al. Phase function method in problems of acoustic wave scattering. Bull. Lebedev Phys. Inst. 42, 10–12 (2015). https://doi.org/10.3103/S1068335615010030

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  • DOI: https://doi.org/10.3103/S1068335615010030

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