The inverse electromagnetic scattering problem for anisotropic media

被引：86
|
作者：
Cakoni, Fioralba [1 ]
Colton, David [1 ]
Monk, Peter [1 ]
Sun, Jiguang [2 ]
机构：
[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
[2] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
来源：
INVERSE PROBLEMS | 2010年 / 26卷 / 07期
关键词：
INTERIOR TRANSMISSION PROBLEM; EXISTENCE; EIGENVALUES;
D O I：
10.1088/0266-5611/26/7/074004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The inverse electromagnetic scattering problem for anisotropic media plays a special role in inverse scattering theory due to the fact that the (matrix) index of refraction is not uniquely determined from the far field pattern of the scattered field even if multi-frequency data are available. In this paper, we describe how transmission eigenvalues can be determined from the far field pattern and be used to obtain upper and lower bounds on the norm of the index of refraction. Numerical examples will be given for the case when the scattering object is an infinite cylinder and the inhomogeneous medium is orthotropic.
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页数：14
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