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

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  • 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.

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