Uniqueness and local stability for the inverse scattering problem of determining the cavity

被引：15
作者：
Feng, LX [1 ]
Ma, FM
机构：
[1] Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China
[2] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[3] Jilin Univ, Sch Math Sci, Changchun 130012, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2005年 / 48卷 / 08期
基金：
中国国家自然科学基金;
关键词：
uniqueness; stability; Maxwell's equations; inverse scattering problem;
D O I：
10.1360/022004-18
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Considering a time-harmonic electromagnetic plane wave incident on an arbitrarily shaped open cavity embedded in infinite ground plane, the physical process is modelled by Maxwell's equations. We investigate the inverse problem of determining the shape of the open cavity from the information of the measured scattered field. Results on the uniqueness and the.-local stability of the inverse problem in the 2-dimensional TM (transverse magnetic) polarization are proved in this paper.
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页码：1113 / 1123
页数：11
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