An electromagnetic inverse problem in chiral media

被引:19
|
作者
McDowall, SR [1 ]
机构
[1] Univ Washington, Dept Math, Seattle, WA 98195 USA
关键词
inverse boundary value problems; Maxwell's equations; chirality; interior determination;
D O I
10.1090/S0002-9947-00-02518-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider the inverse boundary value problem for Maxwell's equations that takes into account the chirality of a body in R-3. 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.
引用
收藏
页码:2993 / 3013
页数:21
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