Rays, modes, wavefield structure and wavefield stability

Details Rays, modes, wavefield structure and wavefield stability Rays, modes, wavefield structure and wavefield stability

2003-12-19

arxiv.org/abs/nlin/0312049v2

Nonlinear Sciences

Chaotic Dynamics

Submitted to J. Acoust. Soc. Am

Scientific paper

Sound propagation is considered in range-independent environments and environments consisting of a range-independent background on which a weak range-dependent perturbation is superimposed. Recent work on propagation of both types of environment, involving both ray- and mode-based wavefield descriptions, have focused on the importance of $\alpha $, a ray-based ``stability parameter,'' and $\beta ,$ a mode-based ``waveguide invariant.'' It is shown that, when $\beta $ is evaluated using asymptotic mode theory, $% \beta =\alpha .$ Using both ray and mode concepts, known results relating to the manner by which $\alpha $ (or $\beta $) controls both the unperturbed wavefield structure and the stability of the perturbed wavefield are briefly reviewed.

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