High-frequency numerical-analytic approximations for the separable acoustic wave equation
type: Item
instance of: scholarly article
title: High-frequency numerical-analytic approximations for the separable acoustic wave equation
zbMATH Open document ID: 0596.76091
DOI: 10.1016/0021-9991(86)90051-3
author: G. P. Forney
author: R. F. Henrick
author: James R. Brannan
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: A joint numeric-asymptotic (WKB) approach in high frequency range is proposed for solving the separable wave equation in the context of underwater acoustic propagation. The concept of WKB is to use analytical asymptotic approximations (as in physical optics) to get the eigenvalues and eigenfunctions of Helmholtz equation under given boundary conditions wherever they are valid approximations. The numeric approach is limited to be used in the neighborhoods of turning points of the index of refraction profile. Error criteria for switch between methods are derived. The advantage of this WKB method is reducing of computing time by over an order of magnitude than conventional numeric method in that frequency range.
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3961240
zbMATH Keywords: joint numeric-asymptotic approach
zbMATH Keywords: high frequency range
zbMATH Keywords: separable wave equation
zbMATH Keywords: underwater acoustic propagation
zbMATH Keywords: analytical asymptotic approximations
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenfunctions
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: boundary conditions
zbMATH Keywords: neighborhoods of turning points of the index of refraction profile
zbMATH Keywords: Error criteria
zbMATH Keywords: WKB method
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90051-3
OpenAlex ID: W2059711985
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description: scientific article; zbMATH DE number 3961240