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3 - Scattering of Scalar Waves in Random Media

Published online by Cambridge University Press:  31 October 2024

Haruo Sato  and
Kentaro Emoto
Haruo Sato
Affiliation:
Tohoku University, Japan
Kentaro Emoto
Affiliation:
Kyushu University
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Summary

Chapter 3 investigates the applicable conditions of the Born and Eikonal approximations for scalar wave scattering in random velocity fluctuations characterized by the power spectral density function. The Born approximation leads to the anisotropic scattering coefficient, which represents the directional scattering power per unit volume. The Eikonal approximation leads not only to the angular spectral function that governs narrow-angle ray bending but also to travel–distance fluctuation.

Keywords

auto-correlation functioncorrelation lengthBorn approximationscattering amplitudescattering coefficientEikonal approximationprojection approximationvon Karman-type random mediaGaussian-type random mediaGaussian random variabletravel distance fluctuationangular spectrum function,
Type
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Seismic Wave Propagation Through Random Media
Monte Carlo Simulation Based on the Radiative Transfer Theory
 , pp. 34 - 57
Publisher: Cambridge University Press
Print publication year: 2024

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