Large range step method for acoustic waveguide with two layer media

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)820-825
Journal / PublicationProgress in Natural Science
Issue number11
Publication statusPublished - Nov 2002


A numerical method is developed for solving the two-dimensional Helmholtz equation in a two-layer bounded by a flat top, a flat bottom and a curved interface. A better local orthogonal transformation is used to flatten the curved interface of the waveguide. The one-way re-formulation based on the Dirichlet-to-Neurmann (DtN) map is then used to reduce the boundary value problem to an initial value problem. The numerical implementation of the resulting operator Riccati equation uses a large range step method for discretizing the range variable and a truncated local eigenfunction expansion for approximating the operators. This method is particularly useful for solving long range wave propagation problems in slowly varying waveguides.

Research Area(s)

  • Acoustic waveguide, Helmholtz equation, Marching method, Numerical solution