Exact one-way methods for acoustic waveguides

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Original languageEnglish
Pages (from-to)377-391
Journal / PublicationMathematics and Computers in Simulation
Issue number5-6
Publication statusPublished - 1 Dec 1999


Exact one-way re-formulations of the Helmholtz equation are useful for waveguide problems, since the resulting equations can be efficiently solved as 'initial' value problems by range marching methods. Some numerical methods for these reformulations are reviewed in this paper. This includes a switched method that avoids the singularities of the operators and the large range step methods that give exact solutions for range independent regions and allow large range steps for weakly range dependent regions. For waveguides with curved bottoms, a method based on a local orthogonal transformation is described. As an interesting application, the scattering problem of periodic waveguides is considered. © 1999 IMACS/Elsevier Science B.V. All rights reserved.

Research Area(s)

  • Helmholtz equation, Large range step method, One-way reformulation