VALIDITY OF ONE-WAY MODELS IN THE WEAK RANGE DEPENDENCE LIMIT

DOI10.1142/S0218396X0400216XzbMath1256.76067OpenAlexW2006441207MaRDI QIDQ4659855

Jian-Xin Zhu, Ya Yan Lu

Publication date: 21 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218396x0400216x

zbMATH Keywords

Helmholtz equationslowly varying waveguideParabolic equation methodweak range dependence

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (9)

Numerical simulation of wave processes in inhomogeneous media with impedance boundaries ⋮ An operator marching method for inverse problems in range-dependent waveguides ⋮ Error analysis for the operator marching method applied to range dependent waveguides ⋮ Discrete non-local boundary conditions for split-step Padé approximations of the one-way Helmholtz equation ⋮ Marching schemes for inverse scattering problems in waveguides with curved boundaries ⋮ The inverse fundamental operator marching method for Cauchy problems in range-dependent stratified waveguides ⋮ Marching schemes for Cauchy wave propagation problems in laterally varying waveguides ⋮ Analysis and formation of acoustic fields in inhomogeneous waveguides ⋮ A coupled marching method for Cauchy problems of the Helmholtz equation in complex waveguides

Cites Work

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• One-way large range step methods for Helmholtz waveguides
• Local orthogonal transformation and one-way methods for acoustic waveguides
• PARABOLIC EQUATION DEVELOPMENT IN THE TWENTIETH CENTURY
• A coupled mode solution for acoustic propagation in a waveguide with stepwise depth variations of a penetrable bottom
• A LOCAL ORTHOGONAL TRANSFORM FOR ACOUSTIC WAVEGUIDES WITH AN INTERNAL INTERFACE
• The W.K.B. approximation as the first term of a geometric‐optical series
• Reciprocity and energy conservation within the parabolic approximation.

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