Volume 1, Issue 6
On the Naturally Induced Sources for Obstacle Scattering

P. S. Meyer, M. Capistran & Y. Chen

DOI:

Commun. Comput. Phys., 1 (2006), pp. 974-983.

Published online: 2006-01

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  • 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. 

  • Keywords

Naturally induced sources obstacle scattering domain derivatives.

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@Article{CiCP-1-974, author = {}, title = {On the Naturally Induced Sources for Obstacle Scattering}, journal = {Communications in Computational Physics}, year = {2006}, volume = {1}, number = {6}, pages = {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. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7990.html} }
TY - JOUR T1 - On the Naturally Induced Sources for Obstacle Scattering JO - Communications in Computational Physics VL - 6 SP - 974 EP - 983 PY - 2006 DA - 2006/01 SN - 1 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/cicp/7990.html KW - Naturally induced sources KW - obstacle scattering KW - domain derivatives. AB -

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. 

P. S. Meyer, M. Capistran & Y. Chen. (2020). On the Naturally Induced Sources for Obstacle Scattering. Communications in Computational Physics. 1 (6). 974-983. doi:
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