Journal of Mathematical Sciences

, Volume 90, Issue 2, pp 2026–2030 | Cite as

Scattering of an acoustic pulse by a rigid sphere on a sedimentary (fluid) bottom

  • Ya. I. Kunets'
  • V. V. Matus


We study the problem of scattering of acoustic pulses on a rigid sphere located near the interface of two media in one of which (the bottom) sound absorption is taken into account. To find the amplitudes of the echo-signal in the distal field we apply the Fourier transform with respect to time and the method of T-matrices.


Arrival Time Cosm Sound Absorption Cosc Acoustic Pulse 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literatur Cited

  1. 1.
    A. S. Aguia, “Methods of describing the acoustic properties of suspensions,” in:Acoustics of Marine Sediments [in Russian], Mir, Moscow (1977), pp. 13–27.Google Scholar
  2. 2.
    L. M. Brekhovskikh,Waves in Stratified Media [in Russian], Nauka, Moscow (1973).Google Scholar
  3. 3.
    W. R. Hoover, A. Nagel, and H. Uberall, “Resonances of the coefficient of reflection of sound from the bottom and their connection with the bottom parameters,” in:Acoustics of the Ocean Bottom [Russian translation], Mir, Moscow (1984), pp. 161–173.Google Scholar
  4. 4.
    V. F. Emets, “Characteristics of a closed impedance obstacle in a scattered acoustic field,”Mat. Met. Fiz.-Mekh. Polya, No. 36, 101–105 (1992).Google Scholar
  5. 5.
    E. A. Ivanov,Diffraction of Electromagnetic Waves on Two Bodies [in Russian], Nauka i Tekhnika, Minsk (1968).Google Scholar
  6. 6.
    L. V. Kantorovich and V. I. Krylov,Approximate Methods of Higher Analysis [in Russian], Gostekhteoretizdat, Moscow/Leningrad (1952).Google Scholar
  7. 7.
    Ya. S. Podstrigach and A. P. Poddubnyak,Scattering of Acoustic Packets on Elastic Bodies of Spherical and Cyclindrical Shape [in Russian], Naukova Dumka, Kiev (1986).Google Scholar
  8. 8.
    R. H. T. Bates and D. S. H. Wall. “Null field approach to scalar diffraction,”Phil. Trans. Roy. Soc. London,A-287, No. 1339, 45–114 (1977).MathSciNetGoogle Scholar
  9. 9.
    G. Kristenson and S. Strom, “Scattering from buried inhomogeneities — a general three-dimensional formalism,”J. Acoust. Soc. Amer.,64, No. 3, 917–936 (1978).CrossRefGoogle Scholar
  10. 10.
    P. C. Waterman, “New formulation of acoustic scattering,”J. Acoust. Soc. Amer.,45, No. 6, 1417–1429 (1968).CrossRefGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • Ya. I. Kunets'
  • V. V. Matus

There are no affiliations available

Personalised recommendations