Parametric Solution of the Dispersion Relation for Guided Sound Propagation in Shallow Water
作者:
Allan D. Pierce,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1966)
卷期:
Volume 39,
issue 6
页码: 1139-1141
ISSN:0001-4966
年代: 1966
DOI:10.1121/1.1910002
出版商: Acoustical Society of America
数据来源: AIP
摘要:
The normal‐mode dispersion relation for guided propagation in a liquid layer lying above an infinitely deep liquid bottom appears as a transcendental equation relating the angular frequency ω and the horizontal wavenumberkin Perkeris' classic solution. It is shown in this paper that this transcendental equation may be solved exactly in a parametric form for any given normal mode. Equations are derived and discussed. They give frequency, phase velocity, and group velocity in terms of a single parameter μ and mode numbern.
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