Random matrix theory for underwater sound propagation

Ocean acoustic propagation can be formulated as a wave guide with a weakly random medium generating multiple scattering. Twenty years ago, this was recognized as a quantum chaos problem, and yet random matrix theory, one pillar of quantum or wave chaos studies, has never been introduced into the sub...

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Bibliographic Details
Published inEurophysics letters Vol. 97; no. 3; p. 1
Main Authors Hegewisch, K C, Tomsovic, S
Format Journal Article
LanguageEnglish
Published 01.02.2012
Subjects
Acoustic propagation
Chaos theory
Mathematical analysis
Matrix theory
Oceans
Scattering
Wave propagation
Waveguides
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Summary:Ocean acoustic propagation can be formulated as a wave guide with a weakly random medium generating multiple scattering. Twenty years ago, this was recognized as a quantum chaos problem, and yet random matrix theory, one pillar of quantum or wave chaos studies, has never been introduced into the subject. The modes of the wave guide provide a representation for the propagation, which in the parabolic approximation is unitary. Scattering induced by the ocean's internal waves leads to a power-law random banded unitary matrix ensemble for long-range deep-ocean acoustic propagation. The ensemble has similarities, but differs, from those introduced for studying the Anderson metal-insulator transition. The resulting long-range propagation ensemble statistics agree well with those of full wave propagation using the parabolic equation.
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ISSN:0295-5075
1286-4854