Skip to main content
SpringerLink
Log in

Scattering of sound by an elastic spherical shell immersed in a waveguide with a fluid bottom

  • Classical Problems of Linear Acoustics and Wave Theory
  • Published:
Acoustical Physics Aims and scope Submit manuscript

Abstract

The paper is devoted to modeling an acoustic field scattered by an elastic spherical shell. The shell is immersed in a waveguide with a fluid attenuating bottom. Modal analysis is applied to calculations of both the point source field in a free waveguide and the scattering coefficients of the shell. The occurring integrals along a branch cut are expressed via the probability integral. Cases are analyzed when the source frequency differs from the critical frequencies of normal waves and when it coincides with one of them. The method is applied to estimate the effect of the field scattered by a thin elastic shell filled with air with transmission loss of the total acoustic field with distance and its depth distribution.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. A. Goodman and R. Stern, J. Acoust. Soc. Am. 34, 338 (1962).

    Article  MathSciNet  ADS  Google Scholar 

  2. J. D. Murphy, J. George, A. Nagl, and H. Überall, J. Acoust. Soc. Am. 65, 368 (1979).

    Article  ADS  Google Scholar 

  3. A. P. Poddubnyak, Sov. Akust. Zh. 30, 89 (1984).

    Google Scholar 

  4. E. L. Shenderov and I. N. Shorenko, Sov. Akust. Zh. 32, 101 (1986).

    Google Scholar 

  5. E. L. Shenderov, Radiation and Dispersion of Waves (Sudostroenie, Leningrad, 1989) [in Russian].

    Google Scholar 

  6. N. D. Veksler, Acoustical Spectroscopy (Valgus, Tallinn, 1989) [in Russian].

    Google Scholar 

  7. Yu. A. Kravtsov, V. M. Kuz’kin, and V. G. Petnikov, Sov. Akust. Zh. 30, 339 (1984).

    Google Scholar 

  8. S. O. Kvyatkovskii, Sov. Akust. Zh. 34, 743 (1988).

    ADS  Google Scholar 

  9. V. A. Grigor’ev and V. M. Kuz’kin, Sov. Akust. Zh. 41, 410 (1995).

    Google Scholar 

  10. R. H. Hackman and G. S. Sammelmann, J. Acoust. Soc. Am. 84, 1813 (1988).

    Article  ADS  Google Scholar 

  11. J.-P. Sessarego, P. Cristini, N. Grigorieva, and G. Fridman, Proc. 10th Eur. Conf. on Underwater Acoustics, Istanbul, 2010, pp. 1133–1141.

  12. L.M. Brekhovskikh, Waves in Layered Media (Nauka, Moscow, 1973; Academic, New York, 1980).

    Google Scholar 

  13. S. G. Kargl and P. L. Marston, J. Acoust. Soc. Am. 88, 1103 (1990).

    Article  ADS  Google Scholar 

  14. H. Bateman and A. Erdelyi, Higher Transcendental Functions (McGraw-Hill, New York, 1953).

    Google Scholar 

  15. J. A. de Santo, in Acoustics of Ocean. Top Current Physics. Vol. 8, Ed. by J. A. de Santo (Springer-Verlag, Berlin, 1979; Mir, Moscow, 1982).

  16. Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Ed. by M. Abramowits and I. A. Stegun (New York, 1968; Nauka, Moscow, 1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. St. Petersburg State Marine Technical University, ul. Lotsmanskaya 3, St. Petersburg, 190008, Russia

    N. S. Grigorieva & G. M. Fridman

Authors
  1. N. S. Grigorieva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. M. Fridman
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. S. Grigorieva.

Additional information

Original Russian Text © N.S. Grigorieva, G.M. Fridman, 2013, published in Akusticheskii Zhurnal, 2013, Vol. 59, No. 4, pp. 424–432.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grigorieva, N.S., Fridman, G.M. Scattering of sound by an elastic spherical shell immersed in a waveguide with a fluid bottom. Acoust. Phys. 59, 373–381 (2013). https://doi.org/10.1134/S1063771013040064

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063771013040064

Keywords

Search

Navigation