A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media

被引：43

作者：

Cakoni, F ^{[1
]}

Colton, D ^{[1
]}

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2003年 / 46卷

关键词：

anisotropic media; electromagnetic scattering; conductive boundary condition; inverse scattering; mixed boundary conditions; transmission problem;

D O I：

10.1017/S0013091502000664

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the support of a (possibly) coated anisotropic medium is uniquely determined by the electric far-field patterns corresponding to incident time-harmonic electromagnetic plane waves with arbitrary polarization and direction. Our proof avoids the use of a fundamental solution to Maxwell's equations in an anisotropic medium and instead relies on the well-posedness and regularity properties of solutions to an interior transmission problem for Maxwell's equations.

引用

页码：293 / 314

页数：22

共 23 条

[1] THE CONDUCTIVE BOUNDARY-CONDITION FOR MAXWELLS EQUATIONS [J].