Physical Sciences and Mathematics Commons^™

An Electromagnetic Inverse Problem In Chiral Media, Stephen R. Mcdowall

Mathematics Faculty Publications

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.