Multi-domain spectral approach with Sommerfeld condition for the Maxwell equations

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TitreMulti-domain spectral approach with Sommerfeld condition for the Maxwell equations
Type de publicationJournal Article
Year of Publication2021
AuteursKlein C, Stoilov N
JournalJOURNAL OF COMPUTATIONAL PHYSICS
Volume434
Pagination110149
Date PublishedJUN 1
Type of ArticleArticle
ISSN0021-9991
Mots-clésHelmholtz equations, Maxwell equations, Multi domain spectral methods, Sommerfeld condition, Spheroidal coordinates
Résumé

We present a multi-domain spectral approach with an exterior compactified domain for the Maxwell equations for monochromatic fields. The Sommerfeld radiation condition is imposed exactly at infinity being a finite point on the numerical grid. As an example, axisymmetric situations in spherical and prolate spheroidal coordinates are discussed, as well as the interaction of a radiating dipole with a nano-particle. (C) 2021 Elsevier Inc. All rights reserved.

DOI10.1016/j.jcp.2021.110149