Singularities of Maxwell interface problems
IRMAR, Université de Rennes I,
campus de Beaulieu, 35042 Rennes Cedex, France. firstname.lastname@example.org.
2 Université de Valenciennes et du Hainaut Cambrésis, LIMAV, B.P. 311, 59304 Valenciennes Cedex, France.
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