An electromagnetic inverse problem in chiral media

McDowall, Stephen

doi:10.1090/S0002-9947-00-02518-6

An electromagnetic inverse problem in chiral media
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by Stephen R. McDowall PDF

Trans. Amer. Math. Soc. 352 (2000), 2993-3013 Request permission

Abstract:

We consider the inverse boundary value problem for Maxwell’s equations that takes into account the chirality of a body in ${\mathbb R}^3$. More precisely, we show that knowledge of a boundary map for the electromagnetic fields determines the electromagnetic parameters, namely the conductivity, electric permittivity, magnetic permeability and chirality, in the interior. We rewrite Maxwell’s equations as a first order perturbation of the Laplacian and construct exponentially growing solutions, and obtain the result in the spirit of complex geometrical optics.

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