An inverse problem for Maxwell's equations in bi-isotropic media

Impact Factor:2.0

DOI number:10.1137/S003614100444366X

Journal:SIAM Journal on Mathematical Analysis

Key Words:inverse problem; Maxwell's equations; bi-isotropic; magnetoelectric; Carleman estimate; stability

Abstract:In this paper, we consider Maxwell's equations in a bi-isotropic and inhomogeneous medium. We discuss an inverse problem of determining the coefficients epsilon, zeta, mu in the constitutive relations from a finite number of interior measurements. We prove a Lipschitz stability estimate for the inverse problem by applying the argument on the basis of Carleman estimate.

First Author:Shumin Li

Indexed by:Journal paper

Document Code:000235128500001

Discipline:Natural Science

Document Type:J

Volume:37

Issue:4

Page Number:1027-1043

ISSN No.:0036-1410

Translation or Not:no

Date of Publication:2005-12-30

Included Journals:SCI

Links to published journals:https://epubs.siam.org/doi/10.1137/S003614100444366X