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Caustic envelopes and cusp coordinates due to the reflection of a spherical wave from a layered sediment

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Author: Ainslie, M.A. · Robins, A.J. · Simons, D.G.
Type:article
Date:2004
Institution: TNO Fysisch en Elektronisch Laboratorium
Source:Journal of the Acoustical Society of America, April, 4, 115, 1449-1459
Identifier: 215314
doi: doi:10.1121/1.1650841
Keywords: Physics · Underwater acoustics · Computational methods · Numerical analysis · Pressure effects · Sediments · Caustic envelopes · Power laws · Sound pressure · Sound transmission

Abstract

A compilation of analytical formulas is presented, describing ray properties of a family of sediment sound speed profiles. The profiles are described as "generalized power law" profiles because they are generalizations of a similar family of simpler power law profiles considered in earlier work [M. A. Ainslie, J. Acoust. Soc. Am. 96, 2506–2515 (1994)]. Properties considered include ray paths, caustic envelopes, and cusp coordinates due to a point source in isovelocity water. For a few example cases the caustic shapes are illustrated by computing the pressure field using a normal mode program. © 2004 Acoustical Society of America