Wave Propagation in Shallow-Water Acoustic Waveguides with Rough BoundariesReportar como inadecuado



 Wave Propagation in Shallow-Water Acoustic Waveguides with Rough Boundaries


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In shallow-water waveguides a propagating field can be decomposed over three kinds of modes: the propagating modes, the radiating modes and the evanescent modes. In this paper we consider a semi-infinite waveguide with randomly perturbed boundaries, that is a randomly perturbed surface and a randomly perturbed bottom, and we analyze the effect produced on the coupling between these three kinds of modes. Using an asymptotic analysis based on a separation of scales technique we derive the asymptotic form of the distribution of the mode amplitudes, and the coupled power equation for propagating modes which describes the energy propagation. We show that the randomly perturbed boundaries of the waveguide induce exponential decaying, with respect to the size of the perturbed boundaries, of the total energy carried by the propagating modes and we give an expression of the decay rate.



Autor: Christophe Gomez

Fuente: https://archive.org/







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