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Sound field of a point monochromatic source in a stratified ocean perturbed by large-scale flow

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Abstract

Starting from the complete system of hydrodynamic equations for the field of a point sound source in a plane-stratified ocean perturbed by a flow, a representation is obtained in the form of a sum of normal waves. Comparison with similar results for the quasipotential equations makes it possible to estimate the effect of replacing the generalized equation of state by an approximate state equation.

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Literature cited

  1. D. I. Blokhintsev, Acoustics of an Inhomogeneous Moving Medium [in Russian], Moscow (1981).

  2. A. M. Obukhov, “Sound propagation in a vortex flow,” Dokl. Akad. Nauk SSSR,32, No. 46, 29–33 (1943).

    Google Scholar 

  3. E. R. Franchi and M. J. Jacobson, “An environmental-acoustic model for sound propagation in a geostrophic flow,” J. Acoust. Soc. Am.,53, No. 3, 847–853 (1973).

    Google Scholar 

  4. V. I. Tatarskii, “Theory of sound propagation in a stratified atmosphere,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okean.,15, No. 11, 1140–1150 (1979).

    Google Scholar 

  5. V. E. Ostashev, “Wave description of sound propagation in a stratified moving atmosphere,” Akust. Zh.,30, No. 4, 521–526 (1984).

    Google Scholar 

  6. I. P. Chunchuzov, “The field of a point low-frequency sound source in an atmosphere with a wind inhomogeneous in height,” Akust. Zh.,30, No. 3, 546–552 (1984).

    Google Scholar 

  7. D. S. Ahluwalia and J. B. Keller, “Exact and asymptotic representations of a sound field in a stratified ocean,” in: Wave Propagation in Underwater Acoustics [Russian translation], J. B. Keller and J. S. Papadakis (eds.), Mir, Moscow (1980), pp. 20–75.

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Authors
  1. N. S. Grigor'eva
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 156, pp. 49–60, 1986.

The author is grateful to V. S. Buldyrev for a useful discussion of this study.

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Grigor'eva, N.S. Sound field of a point monochromatic source in a stratified ocean perturbed by large-scale flow. J Math Sci 50, 1711–1718 (1990). https://doi.org/10.1007/BF01097100

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  • DOI: https://doi.org/10.1007/BF01097100

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