| Issue |
ESAIM: M2AN
Volume 33, Number 3, May June 1999
|
|
|---|---|---|
| Page(s) | 627 - 649 | |
| DOI | https://doi.org/10.1051/m2an:1999155 | |
| Published online | 15 August 2002 | |
Singularities of Maxwell interface problems
1
IRMAR, Université de Rennes I,
campus de Beaulieu, 35042 Rennes Cedex, France. dauge@univ-rennes1.fr.
2
Université de Valenciennes et du Hainaut Cambrésis, LIMAV, B.P. 311, 59304 Valenciennes Cedex, France.
Received:
5
June
1998
Revised:
1
September
1998
We investigate time harmonic Maxwell equations in heterogeneous media, where the permeability μ and the permittivity ε are piecewise constant. The associated boundary value problem can be interpreted as a transmission problem. In a very natural way the interfaces can have edges and corners. We give a detailed description of the edge and corner singularities of the electromagnetic fields.
Mathematics Subject Classification: 35Q60 / 35R05 / 78A25
Key words: Corner singularities / interface problems / transmission conditions / Maxwell equations / electromagnetism.
© EDP Sciences, SMAI, 1999
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