Ray dynamics in long-range deep ocean sound propagation

Michael G. Brown; John A. Colosi; Steven Tomsovic; Anatoly L. Virovlyansky; Michael A. Wolfson; George M. Zaslavsky

doi:10.1121/1.1563670

Ray dynamics in long-range deep ocean sound propagation

Michael G. Brown, John A. Colosi, Steven Tomsovic, Anatoly L. Virovlyansky, Michael A. Wolfson, George M. Zaslavsky

Ocean Sciences

Research output: Contribution to journal › Article

71 Scopus citations

Abstract

Recent results relating to ray dynamics in ocean acoustics are reviewed. Attention is focused on long-range propagation in deep ocean environments. For this class of problems, the ray equations may be simplified by making use of a one-way formulation in which the range variable appears as the independent (timelike) variable. Topics discussed include integrable and nonintegrable ray systems, action-angle variables, nonlinear resonances and the KAM theorem, ray chaos, Lyapunov exponents, predictability, nondegeneracy violation, ray intensity statistics, semiclassical breakdown, wave chaos, and the connection between ray chaos and mode coupling. The Hamiltonian structure of the ray equations plays an important role in all of these topics.

Original language	English (US)
Pages (from-to)	2533-2547
Number of pages	15
Journal	Journal of the Acoustical Society of America
Volume	113
Issue number	5
DOIs	https://doi.org/10.1121/1.1563670
State	Published - May 1 2003

ASJC Scopus subject areas

Arts and Humanities (miscellaneous)
Acoustics and Ultrasonics

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title = "Ray dynamics in long-range deep ocean sound propagation",

abstract = "Recent results relating to ray dynamics in ocean acoustics are reviewed. Attention is focused on long-range propagation in deep ocean environments. For this class of problems, the ray equations may be simplified by making use of a one-way formulation in which the range variable appears as the independent (timelike) variable. Topics discussed include integrable and nonintegrable ray systems, action-angle variables, nonlinear resonances and the KAM theorem, ray chaos, Lyapunov exponents, predictability, nondegeneracy violation, ray intensity statistics, semiclassical breakdown, wave chaos, and the connection between ray chaos and mode coupling. The Hamiltonian structure of the ray equations plays an important role in all of these topics.",

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AU - Zaslavsky, George M.

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AB - Recent results relating to ray dynamics in ocean acoustics are reviewed. Attention is focused on long-range propagation in deep ocean environments. For this class of problems, the ray equations may be simplified by making use of a one-way formulation in which the range variable appears as the independent (timelike) variable. Topics discussed include integrable and nonintegrable ray systems, action-angle variables, nonlinear resonances and the KAM theorem, ray chaos, Lyapunov exponents, predictability, nondegeneracy violation, ray intensity statistics, semiclassical breakdown, wave chaos, and the connection between ray chaos and mode coupling. The Hamiltonian structure of the ray equations plays an important role in all of these topics.

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