A 2.5-D scalar Helmholtz wave solution employing the spectral Lanczos decomposition method (SLDM)

William H Weedon ,Weng Cho Chew ,A Sezginer ,Jaw-Guei Lin ,Vladimir Druskin

doi:10.1109/aps.1993.385404

A 2.5-D scalar Helmholtz wave solution employing the spectral Lanczos decomposition method (SLDM)

William H Weedon , Weng Cho Chew + Show 3 more

https://doi.org/10.1109/aps.1993.385404

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Publication Date: Jun 28, 1993

Citations: 4

Affiliation: Urbana University, University of Illinois Urbana-Champaign

#Spectral Lanczos Decomposition Method #Point Source Response + Show 8 more

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Abstract

It is demonstrated that the SLDM may be used to solve the 2.5-D scalar Helmholtz equation efficiently in O(N/sup 1.5/) operations with a high degree of accuracy. The Lanczos method is used to build discrete orthogonal polynomials that approximate the solution to the scalar Helmholtz wave equation. The advantage to using the SLDM for the 2.5-D problem is that only the 2-D solution needs to be computed numerically, while the z-variation may be computed analytically. The particular numerical example considered consists of the computation of the point source response in a rectangular waveguide with a Dirichlet boundary condition. >

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