THE ENCLOSURE METHOD FOR INVERSE OBSTACLE SCATTERING USING A SINGLE ELECTROMAGNETIC WAVE IN TIME DOMAIN

被引：9
|
作者：
Ikehata, Masaru [1 ]
机构：
[1] Hiroshima Univ, Inst Engn, Math Lab, Higashihiroshima 7398527, Japan
来源：
INVERSE PROBLEMS AND IMAGING | 2016年 / 10卷 / 01期
基金：
日本学术振兴会;
关键词：
Enclosure method; inverse obstacle scattering; electromagnetic wave; Maxwell's equations; obstacle; reflection; mean value theorem; MAXWELL EQUATIONS;
D O I：
10.3934/ipi.2016.10.131
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a time domain enclosure method for an inverse obstacle scattering problem of electromagnetic wave is introduced. The wave as a solution of Maxwell's equations is generated by an applied volumetric current having an orientation and supported outside an unknown obstacle and observed on the same support over a finite time interval. It is assumed that the obstacle is a perfect conductor. Two types of analytical formulae which employ a single observed wave and explicitly contain information about the geometry of the obstacle are given. In particular, an effect of the orientation of the current is catched in one of two formulae. Two corollaries concerning with the detection of the points on the surface of the obstacle nearest to the centre of the current support and curvatures at the points are also given.
引用
收藏
页码：131 / 163
页数：33
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