Local orthogonal transformation and one-way methods for acoustic waveguides

DOI10.1016/S0165-2125(00)00083-4zbMath1163.74396OpenAlexW2048403942WikidataQ127372990 ScholiaQ127372990MaRDI QIDQ1608060

Ya Yan Lu, Joyce R. McLaughlin, Jinyang Huang

Publication date: 1 September 2002

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-2125(00)00083-4

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Related Items (11)

An operator marching method for inverse problems in range-dependent waveguides ⋮ Error analysis for the operator marching method applied to range dependent waveguides ⋮ Marching schemes for inverse scattering problems in waveguides with curved boundaries ⋮ Fast computation of wave propagation in the open acoustical waveguide with a curved interface ⋮ 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 ⋮ A LOCAL ORTHOGONAL TRANSFORM FOR ACOUSTIC WAVEGUIDES WITH AN INTERNAL INTERFACE ⋮ VALIDITY OF ONE-WAY MODELS IN THE WEAK RANGE DEPENDENCE LIMIT ⋮ A fourth-order Magnus scheme for Helmholtz equation ⋮ Mathematical treatment of wave propagation in acoustic waveguides with \(n\) curved interfaces ⋮ A coupled marching method for Cauchy problems of the Helmholtz equation in complex waveguides

Uses Software

• OASES

Cites Work

• Uniform high-frequency approximations of the square root Helmholtz operator symbol
• One-way large range step methods for Helmholtz waveguides
• Numerical solution of the coupled model equations in duct acoustics
• PARABOLIC EQUATION DEVELOPMENT IN RECENT DECADE
• FINITE ELEMENT METHODS FOR THE PARABOLIC EQUATION WITH INTERFACES
• A coupled mode solution for acoustic propagation in a waveguide with stepwise depth variations of a penetrable bottom
• Coupled mode solution for a cylindrically symmetric oceanic waveguide with a range and depth dependent refractive index and a time varying rough sea surface
• Consistent coupled mode theory of sound propagation for a class of nonseparable problems
• Numerical Integration of the Differential Riccati Equation and Some Related Issues
• An invariant imbedding analysis of general wave scattering problems
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