The natural reference wavenumber for parabolic approximations in ocean acoustics
type: Item
instance of: scholarly article
title: The natural reference wavenumber for parabolic approximations in ocean acoustics
zbMATH Open document ID: 0581.76085
DOI: 10.1016/0898-1221(85)90178-6
author: Allan D. Pierce
publication date: 1985-01-01T00:00:00Z
review text: A natural definition of the reference wavenumber \(k_ 0\) that appears in almost all underwater sound formulations based on a parabolic approximation emerges from Rayleigh's principle for progressive waves: the integrals over the depth of the kinetic- and potential-energy densities are equal. A formulation using this definition conforms to and refines \textit{R. M. Fitzgerald}'s suggestion [J. Acoust. Soc. Am. 57, 839- 842 (1975; Zbl 0319.76056)] that when the field is a sum of guided modes, the selected \(k_ 0\) should be a weighted average of the wavenumbers for the excited modes.
Mathematics Subject Classification ID: 76Q05
zbMATH DE Number: 3930618
zbMATH Keywords: variational principle
zbMATH Keywords: reference wavenumber
zbMATH Keywords: underwater sound
zbMATH Keywords: parabolic approximation
zbMATH Keywords: Rayleigh's principle for progressive waves
zbMATH Keywords: weighted average of the wavenumbers
MaRDI profile type: Publication
full work available at URL: 0898-1221(85)90178-6
OpenAlex ID: W2084427179
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 3930618