NONREFLECTING BOUNDARY-CONDITIONS FOR MAXWELLS EQUATIONS

Citation
Mj. Grote et Jb. Keller, NONREFLECTING BOUNDARY-CONDITIONS FOR MAXWELLS EQUATIONS, Journal of computational physics, 139(2), 1998, pp. 327-342
Citations number
25
Categorie Soggetti
Computer Science Interdisciplinary Applications","Physycs, Mathematical","Computer Science Interdisciplinary Applications","Physycs, Mathematical
ISSN journal
00219991
Volume
139
Issue
2
Year of publication
1998
Pages
327 - 342
Database
ISI
SICI code
0021-9991(1998)139:2<327:NBFME>2.0.ZU;2-2
Abstract
Exact nonreflecting boundary conditions are derived for the time depen dent Maxwell equations in three space dimensions. These conditions hol d on a spherical surface B, outside of which the medium is assumed to be homogeneous, isotropic, and source-free. They are local in time and nonlocal on B, and they do not involve high-order derivatives. Thus, they are easy to incorporate into finite difference or finite element methods. These boundary conditions are similar to the exact nonreflect ing boundary conditions for the scalar wave equation which yield high numerical accuracy. (C) 1998 Academic Press.