Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
An Electromagnetic Inverse Problem In Chiral Media, Stephen R. Mcdowall
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.
Total Determination Of Material Parameters From Electromagnetic Boundary Information, M. S. (Mark Suresh) Joshi, Stephen R. Mcdowall
Total Determination Of Material Parameters From Electromagnetic Boundary Information, M. S. (Mark Suresh) Joshi, Stephen R. Mcdowall
Mathematics Faculty Publications
In this paper we complete the proof that the material parameters can be obtained for a chiral electromagnetic body from the boundary admittance map. We prove that from the admittance map, the parameters are uniquely determined to infinite order at the boundary. This removes the assumption of such knowledge in the result of the second author regarding interior determination for chiral media.