dorsal/arxiv
View SchemaOcean acoustic wave propagation and ray method correspondence: internal wave fine structure
| Authors | Katherine C. Hegewisch, Nicholas R. Cerruti, Steven Tomsovic |
|---|---|
| Categories | |
| ArXiv ID | physics/0312150 |
| URL | https://arxiv.org/abs/physics/0312150 |
Abstract
Acoustic wave fields propagating long ranges through the ocean are refracted by the inhomogeneities in the ocean's sound speed profile. Intuitively, for a given acoustic source frequency, the inhomogeneities become ineffective at refracting the field beyond a certain fine scale determined by the acoustic wavelength. On the other hand, ray methods are sensitive to infinitely fine features. Thus, it is possible to complicate arbitrarily the ray dynamics, and yet have the wave field propagate unchanged. This feature raises doubts about the ray/wave correspondence. Given the importance of various analyses relying on ray methods, a proper model should, at a minimum, exclude all of the fine structure that does not significantly alter the propagated wave field when the correspondence to the ray dynamics is integral. We develop a simple, efficient, smoothing technique to be applied to the inhomogeneities - a low pass filtering performed in the spatial domain - and give a characterization of its necessary extent as a function of acoustic source frequency. We indicate how the smoothing improves the ray/wave correspondence, and show that the so-called ``ray chaos'' problem remains above a very low frequency (about 15-25 Hz).
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"abstract": "Acoustic wave fields propagating long ranges through the ocean are refracted\nby the inhomogeneities in the ocean\u0027s sound speed profile. Intuitively, for a\ngiven acoustic source frequency, the inhomogeneities become ineffective at\nrefracting the field beyond a certain fine scale determined by the acoustic\nwavelength. On the other hand, ray methods are sensitive to infinitely fine\nfeatures. Thus, it is possible to complicate arbitrarily the ray dynamics, and\nyet have the wave field propagate unchanged. This feature raises doubts about\nthe ray/wave correspondence. Given the importance of various analyses relying\non ray methods, a proper model should, at a minimum, exclude all of the fine\nstructure that does not significantly alter the propagated wave field when the\ncorrespondence to the ray dynamics is integral. We develop a simple, efficient,\nsmoothing technique to be applied to the inhomogeneities - a low pass filtering\nperformed in the spatial domain - and give a characterization of its necessary\nextent as a function of acoustic source frequency. We indicate how the\nsmoothing improves the ray/wave correspondence, and show that the so-called\n``ray chaos\u0027\u0027 problem remains above a very low frequency (about 15-25 Hz).",
"arxiv_id": "physics/0312150",
"authors": [
"Katherine C. Hegewisch",
"Nicholas R. Cerruti",
"Steven Tomsovic"
],
"categories": [
"physics.ao-ph",
"nlin.CD"
],
"title": "Ocean acoustic wave propagation and ray method correspondence: internal wave fine structure",
"url": "https://arxiv.org/abs/physics/0312150"
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