ANZIAM J.
47 (2006), 397411

On the low frequency asymptotics for the 2D electromagnetic transmission problem

C. N. Anestopoulos
National Technical University of Athens
Department of Applied Mathematics and Physics
GR15780 Zografou Campus
Athens
Greece
kanesto@mail.ntua.gr





Abstract

We examine the transmission problem in a
twodimensional domain, which consists of two
different homogeneous media. We use boundary
integral equation methods on the Maxwell
equations governing the two media and we study
the behaviour of the solution as the two
different wave numbers tend to zero. We prove
that as the boundary data of the general
transmission problem converge uniformly to the
boundary data of the corresponding electrostatic
transmission problem, the general solution
converges uniformly to the electrostatic one,
provided we consider compact subsets of the
domains.

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