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Li, Peng; Liu, Keying; Zhong, Weizhou

Marching schemes for Cauchy wave propagation problems in laterally varying waveguides. (English) Zbl 1448.65204

J. Inverse Ill-Posed Probl. 26, No. 2, 259-276 (2018).
Summary: This paper intends to develop practical marching schemes for Cauchy problems of the Helmholtz equation in laterally varying waveguides. We arrive at a stable representation of the marching solutions in waveguides. Based on the representation, a second-order marching scheme is then constructed to eliminate the ill-conditioning and compute the wave propagation in waveguides with laterally variable mediums. In the end, extensive experiments are implemented to verify the efficiency and accuracy of the marching scheme in various waveguides, and we also point out the application scope of the scheme.

Cited in 1 Document

MSC:

65N20 Numerical methods for ill-posed problems for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35R25 Ill-posed problems for PDEs

Keywords:

Cauchy problem; propagating mode; marching method; waveguide; Helmholtz equation

Software:

OASES
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Full Text: DOI

References:

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