Skip to main content
Log in

Effect of motion of a medium, induced by an internal gravity wave, on the acoustic field of a point source in the ocean depths

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

We examine the problem of the acoustic field of a point source in stratified ocean depths in which a relatively high-frequency internal wave propagates. In addition to the change in all the characteristics of the medium, we also consider both the horizontal and vertical components of the velocity for the motion of the medium induced by an internal gravity wave.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. S. M. Flatte (ed.), Propagation of Sound in the Fluctuating Ocean [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  2. V. A. Polyanskaya, “Effect of high-frequency internal waves on the acoustic field of a point source in the ocean,” Akust. Zh.,20, No. 1, 95–102 (1974).

    Google Scholar 

  3. V. M. Kurtepov, “Effect of internal waves on the propagation of sound in the ocean,” in: 7th All-Union Symposium on Diffraction and Propagation of Waves: Abstracts [in Russian], Moscow (1977), Vol. 2, pp. 265–268.

    Google Scholar 

  4. V. M. Kurtepov, “Effect of internal waves, Rossby waves, mesoscale eddies and flows on propagation of sound in the ocean,” in: Ocean Acoustics. Present Status [in Russian], Nauka, Moscow (1982), pp. 36–52.

    Google Scholar 

  5. N. S. Grigor'eva, “Method of double scale expansions for slightly irregular oceanic waveguides perturbed by flow,” in: Mathematical Topics in the Theory of Wave Propagation,15, Zap. Nauchn. Semin. LOMI (1985), Vol. 148, pp. 68–78.

    Google Scholar 

  6. N. S. Grigor'eva, “Field of a point monochromatic sound source in the stratified ocean, perturbed by large-scale flow,” in: Mathematical Topics in the Theory of Wave Propagation,16, Zap. Nauchn. Semin. LOMI (1986), Vol. 156, pp. 49–60.

    Google Scholar 

  7. Oceanology. Ocean Physics. Vol. 2: Ocean Hydrodynamics [in Russian], Nauka, Moscow (1978).

  8. D. I. Blokhintsev, Acoustics of an Inhomogeneous Moving Medium [in Russian], Nauka, Moscow (1981) [1946].

    Google Scholar 

  9. Hydroacoustics Handbook [in Russian], Sudostroenie, Leningrad (1982).

Download references

Authors

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 173, pp. 48–59, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grigor'eva, N.S. Effect of motion of a medium, induced by an internal gravity wave, on the acoustic field of a point source in the ocean depths. J Math Sci 55, 1676–1685 (1991). https://doi.org/10.1007/BF01098206

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01098206

Keywords

Navigation