TY - JOUR
T1 - Ray dynamics in long-range deep ocean sound propagation
AU - Brown, Michael G.
AU - Colosi, John A.
AU - Tomsovic, Steven
AU - Virovlyansky, Anatoly L.
AU - Wolfson, Michael A.
AU - Zaslavsky, George M.
PY - 2003/5/1
Y1 - 2003/5/1
N2 - 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.
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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U2 - 10.1121/1.1563670
DO - 10.1121/1.1563670
M3 - Article
C2 - 12765373
AN - SCOPUS:0037695245
VL - 113
SP - 2533
EP - 2547
JO - Journal of the Acoustical Society of America
JF - Journal of the Acoustical Society of America
SN - 0001-4966
IS - 5
ER -