High-frequency numerical-analytic approximations for the separable acoustic wave equation

DOI10.1016/0021-9991(86)90051-3zbMath0596.76091OpenAlexW2059711985MaRDI QIDQ1079076

G. P. Forney, R. F. Henrick, James R. Brannan

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90051-3

zbMATH Keywords

boundary conditionseigenvalueseigenfunctionsHelmholtz equationWKB methodunderwater acoustic propagationhigh frequency rangeanalytical asymptotic approximationsError criteriajoint numeric-asymptotic approachneighborhoods of turning points of the index of refraction profileseparable wave equation

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Basic methods in fluid mechanics (76M99)

Cites Work

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• The uniform WKB modal approach to pulsed and broadband propagation
• A numerical method for ocean-acoustic normal modes
• Theoretical and numerical Green’s function field solution in a plane multilayered medium
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Adiabatic mode theory of underwater sound propagation in a range-dependent environment
• Numerical Calculation of Normal Modes for Underwater Sound Propagation
• Asymptotic theory of propagation in curved and nonuniform waveguides
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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