Inverse boundary value problems, Maxwell’s equations, Chirality, Interior determination
We consider the inverse boundary value problem for Maxwell's equations that takes into account the chirality of a body in R3 . 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.
Transactions of the American Mathematical Society
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© Copyright 2000 American Mathematical Society
McDowall, Stephen R., "An Electromagnetic Inverse Problem in Chiral Media" (2000). Mathematics. 34.