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arXiv · 1104.3975

Random matrix theory for underwater sound propagation

Katherine C. Hegewisch·Steven Tomsovic
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Abstract

Ocean acoustic propagation can be formulated as a wave guide with a weakly random medium generating multiple scattering. Twenty years ago, this was recognized as a quantum chaos problem, and yet random matrix theory, one pillar of quantum or wave chaos studies, has never been introduced into the subject. The modes of the wave guide provide a representation for the propagation, which in the parabolic approximation is unitary. Scattering induced by the ocean's internal waves leads to a power-law random banded unitary matrix ensemble for long-range deep ocean acoustic propagation. The ensemble has similarities, but differs, from those introduced for studying the Anderson metal-insulator transition. The resulting long-range propagation ensemble statistics agree well with those of full wave propagation using the parabolic equation.

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Katherine C. Hegewisch, Steven Tomsovic. 2011-05-13. Random matrix theory for underwater sound propagation. https://doi.org/10.1209/0295-5075%2F97%2F34002

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