Ray stability in weakly range-dependent sound channels

Details Ray stability in weakly range-dependent sound channels Ray stability in weakly range-dependent sound channels

2002-08-27

arxiv.org/abs/nlin/0208038v2

Nonlinear Sciences

Chaotic Dynamics

To appear in JASA

Scientific paper

10.1121/1.1582444

Ray stability is investigated in environments consisting of a range-independent background sound-speed profile on which a range-dependent perturbation, such as that produced by internal waves in deep ocean environments, is superimposed. Numerical results show that ray stability is strongly influenced by the background sound speed profile. Ray instability is shown to increase with increasing magnitude of alpha := I omega^{prime} / omega, where 2 pi / omega(I) is the range of a ray double loop and I is the ray action variable. The mechanism, shear-induced instability enhancement, by which alpha controls ray instability is described.

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