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2007, Volume 1, Issue 3: 443-456. Doi: 10.3934/ipi.2007.1.443
This issue Previous Article Determining the anisotropic traction state in a membrane by boundary measurements Next Article A new exact inversion method for exponential Radon transform using the harmonic analysis of the Euclidean motion group

A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media

  • 1.

    Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716-2553

  • 2.

    INRIA, Domaine de Voluceau, Rocquencourt, B.P. 105, 78153 Le Chesnay Cedex

Received:  December 31, 2006
Published:  July 2007
Abstract Related Papers Cited by
    Abstract
  • The interior transmission problem plays a basic role in the study of inverse scattering problems for inhomogeneous medium. In this paper we study the interior transmission problem for the Maxwell equations in the electromagnetic scattering problem for an anisotropic inhomogeneous object. We use a variational approach which extends the method developed in [15] to the case when the index of refraction is less than one as well as for partially coated scatterers. In addition, we also describe the structure of the transmission eigenvalues.
    Mathematics Subject Classification: Primary: 35R30, 35Q60, 35J40, 78A25.

    Citation:
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