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://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7990.html
KW - Naturally induced sources
KW - obstacle scattering
KW - domain derivatives.
AB - <p style="text-align: justify;">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.&nbsp;</p>