Document Type
Article
Publication Date
2000
Keywords
Inverse boundary value problems, Maxwell’s equations, Chirality, Interior determination
Abstract
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.
Publication Title
Transactions of the American Mathematical Society
Volume
352
Issue
7
First Page
2993
Last Page
3013
DOI
http://dx.doi.org/10.1090/S0002-9947-00-02518-6
Required Publisher's Statement
© Copyright 2000 American Mathematical Society
DOI: http://dx.doi.org/10.1090/S0002-9947-00-02518-6
Recommended Citation
McDowall, Stephen R., "An Electromagnetic Inverse Problem in Chiral Media" (2000). Mathematics Faculty Publications. 34.
https://cedar.wwu.edu/math_facpubs/34
Subjects - Topical (LCSH)
Functions, Inverse; Chirality
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
