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Path integrals for wave intensity fluctuations in random media

Approximate expressions for the fourth order moment of a wave propagating in a random medium are derived by using the path integral formulation. These solutions allow the spectrum of intensity fluctuations of a multiply scattered wave to be found, and they are valid at all distances in the medium. T...

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Bibliographic Details
Published in:Journal of sound and vibration 1986-05, Vol.106 (3), p.509-528
Main Authors: Uscinski, B.J., Macaskill, C., Spivack, M.
Format: Article
Language:English
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Summary:Approximate expressions for the fourth order moment of a wave propagating in a random medium are derived by using the path integral formulation. These solutions allow the spectrum of intensity fluctuations of a multiply scattered wave to be found, and they are valid at all distances in the medium. The results obtained by path integral methods turn out to be the same as those obtained previously by solving the parabolic partial differential equation for the fourth moment. The spatial frequency spectra of intensity fluctuations are evaluated for a medium in which the irregularities have a single scale and also for one in which there is a range of scale sizes.
ISSN:0022-460X
1095-8568
DOI:10.1016/0022-460X(86)90195-1