Year: 2006
Communications in Computational Physics, Vol. 1 (2006), Iss. 6 : pp. 974–983
Abstract
We introduce the equivalent sources for the Helmholtz equation and establish their connections to the naturally induced sources for the sound-soft, sound-hard, and impedance obstacles for the inverse scattering problems of the Helmholtz equation. As two applications, we employ the naturally induced sources to improve the boundary integral equation formulations for the obstacle scattering problems, and develop a unified, straightforward approach to establishing boundary conditions governing the domain derivatives of scattered waves for the soft, hard, and impedance obstacles.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-CiCP-7990
Communications in Computational Physics, Vol. 1 (2006), Iss. 6 : pp. 974–983
Published online: 2006-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Naturally induced sources