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Direct and inverse acoustic scattering problem over a two-part impedance ground in a moving fluid by using Wiener-Hopf technique

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to solve the direct and inverse problem in a moving fluid. We consider the direct and inverse scattering problem of acoustic line source by a two-part boundary of a half-space, having a small variation in propagation speed in the presence of a moving fluid. The problem reduces to the solution of two integral equations by using the Fourier transform and Green's function. One of these equations is solved exactly by the Wiener-Hopf technique while the other is reduced to a Fredholm equation of the first kind whose kernel involves the solution to the first equation. The procedure can be applied to recover the variation in the wave speed over a nonhomogeneous impedance ground.
Rocznik
Strony
23--35
Opis fizyczny
Bibliogr. 11 poz., wykr.
Twórcy
autor
  • Department of Mathematical Sciences King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia
autor
  • Hafr Al-Batin Community College King Fahd University of Petroleum and Minerals P.O. Box 5087, Dhahran 31261, Saudi Arabia
Bibliografia
  • 1. N. BLEISTEIN, J.K. COHEN, The velocity inversion problem-present status, new directions, Geophysics,11, 1497-1511, 1982.
  • 2. F.D. GAKHOV, Boundary-value problems, Pergamon Press 1966.
  • 3. I.M. GELFAND, G.E. SHILOV, Les distributions, Dunod, 1, 1962.
  • 4. M. IDEMEN, I. AKDUMAN, One-dimensional profile inversion of a half-space over a two-part impedance ground, IEEE Trans. Antennas and Propagat., 44, 933-942, 1996.
  • 5. D.S. JONES, Theory of electromagnetism, Pergamon Press 1964.
  • 6. R. KRESS, Linear integral equations, Springer-Verlag 1980.
  • 7. B. NOBLE, Methods based on Wiener-Hopf techniques, Pergamon 1958.
  • 8. A.D. RAWLINS, Acoustic diffraction by an absorbing semi-infinite half plane in a moving fluid, Proc. Roy. Soc. Edin. Ser. 1974; A 72: 337-357.
  • 9. E.G. TITCHMARSH, Introduction to the theory of Fourier integrals, Clarendon 1948.
  • 10. V.H. WESTON, On the convergence of the Rytov approximation for the reduced wave equation, J. Math. Phys., 26, 1979-1985, 1985.
  • 11. K. YOSIDA, Functional analysis, Springer-Verlag 1971.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0005-0017
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