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Geometrical Acoustics. WKB Approximation

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Acoustics of Layered Media I

Part of the book series: Springer Series on Wave Phenomena ((SSWAV,volume 5))

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Abstract

The importance of geometrical acoustics, or the ray method, in studying sound fields in inhomogeneous media can hardly be exaggerated. Regardless of the physical nature of the waves considered, this approach is also often referred to as geometrical optics or the eikonal approximation. Due to its simplicity and lucidity it is very frequently used in fundamental as well as applied studies. Even beyond its range of direct applicability in most cases geometrical acoustics allows us to qualitatively picture the field structure. Thus, it is of great heuristic value. In this chapter we shall consider waves which are harmonically dependent on horizontal coordinates and time. In regions where a medium is homogeneous, the field reduces to one or two (propagating upwards and downwards) plane waves. For this type of problem the ray approach coincides with the WKB approximation.

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Authors and Affiliations

  1. P.P. Shirshov Institute of Oceanology, USSR Academy of Sciences, 23 Krasikowa St., SU-11728, Moscow, USSR

    Professor Leonid M. Brekhovskikh (Academician) & Dr. Oleg A. Godin

Authors
  1. Professor Leonid M. Brekhovskikh
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  2. Dr. Oleg A. Godin
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© 1990 Springer-Verlag Berlin Heidelberg

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Brekhovskikh, L.M., Godin, O.A. (1990). Geometrical Acoustics. WKB Approximation. In: Acoustics of Layered Media I. Springer Series on Wave Phenomena, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52369-4_8

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  • DOI: https://doi.org/10.1007/978-3-642-52369-4_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64724-9

  • Online ISBN: 978-3-642-52369-4

  • eBook Packages: Springer Book Archive

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