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

Published online by Cambridge University Press:  17 February 2009

C. N. Anestopoulos  and
E. E. Argyropoulos
C. N. Anestopoulos
Affiliation:
National Technical University of Athens, Department of Applied Mathematics and Physics, GR-15780 Zografou Campus, Athens, Greece; e-mail: kanesto@mail.ntua.gr.
E. E. Argyropoulos
Affiliation:
Technological Education Institute, Department of Electrical Engineering, GR-35100 Lamia, Greece; e-mail: protepkste@stellad.pde.sch.gr.
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Abstract

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We examine the transmission problem in a two-dimensional 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.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 3 , January 2006 , pp. 397 - 411
Copyright
Copyright © Australian Mathematical Society 2006

References

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