Reflection and Refraction of Spherical Waves

  • Leonid M. Brekhovskikh
  • Oleg A. Godin
Part of the Springer Series on Wave Phenomena book series (SSWAV, volume 10)

Abstract

Our previous book [1.1] was completely focused on the problem of plane and quasi-plane waves in layered media. In the theory of acoustic wave propagation, however, it is important to take into account that the sound source is located at a finite distance from the receiver as well as from the boundaries. The most simple example of this is the classical problem about the field of a point source in the presence of an interface between two homogeneous media. In other words, it is a problem of spherical wave reflection and refraction. For electromagnetic waves this was first considered by A. Sommerfeld [1.2]. Later, fundamental works by H. Weyl, H. Ott, V. Fock, M. Leontovich, A. Baños [1.3–7] appeared. Below we shall follow mainly our own works [1.8–11] which are the further development of Weyl’s idea of the representation of a spherical wave as a superposition of plane waves. Using the same techniques, the more difficult problem of the bounded wave beam reflection can be solved as well.

Keywords

Attenuation Stratification Silt Posite Refraction 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Leonid M. Brekhovskikh
    • 1
  • Oleg A. Godin
    • 1
    • 2
  1. 1.P.P. Shirshov Institute of OceanologyRussian Academy of SciencesMoscowRussia
  2. 2.School of Earth and Ocean SciencesUniversity of VictoriaVictoriaCanada

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