Scattering Amplitude and Its Properties

  • Alexander G. Voronovich
Part of the Springer Series on Wave Phenomena book series (SSWAV, volume 17)


The problem of calculating the wave scattering from the rough and plane in average boundary is formulated in the present chapter. Such a boundary either divides two homogeneous half-spaces or bounds only one of them. The waves propagating in these media can be scalar or multicomponent (possessing polarization). The most natural language describing scattering processes is an amplitude of scattering (SA) the plane waves into each other. Using SA instead of Green’s function is more preferable in many relations. Applications of SA in the problems of wave scattering from rough surfaces is well known; Waterman [2.1] was one of the first to apply it systematically.


Plane Wave Helmholtz Equation Scattered Wave Scattering Amplitude Scattered Field 
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Chapter 2

  1. 2.1
    P.C. Waterman: J. Acoust. Soc. Am. 57, 791–802 (1975)ADSMATHCrossRefGoogle Scholar
  2. 2.2
    L.D. Landau, E.M. Lifshitz: Kwantovaya Mekhanika (Nerelativistskaya Teoriya) (Nauka, Moscow 1974) [English transi.: Quantum Mechanics (Nonrelativistic Theory) (Pergamon, Oxford 1959)Google Scholar
  3. †2.3
    L. Brekhovskikh, Yu. Lysanov: Fundamentals of Ocean Acoustics 2nd edn. Springer Ser. Wave Phenom., Vol. 8 (Springer, Berlin, Heidelberg 1991)MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Alexander G. Voronovich
    • 1
  1. 1.P. P. Shirshov Institute of OceanologyMoscowRussia

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