Unique Determination of a Planar Screen in Electromagnetic Inverse Scattering

被引:0
|
作者
Ola, Petri [1 ]
Paivarinta, Lassi [2 ]
Sadique, Sadia [2 ]
机构
[1] Univ Helsinki, Dept Math & Stat, Helsinki 00014, Finland
[2] Tallinn Univ Technol, Dept Cybernet, Div Math, EE-19086 Tallinn, Estonia
基金
芬兰科学院;
关键词
inverse conductivity problem; electrical impedance tomography; unknown boundary; Teichmuller mapping; BOUNDARY-VALUE PROBLEM; SOUND-HARD; PULSE-COMPRESSION; MAXWELL EQUATIONS; PERFECT;
D O I
10.3390/math11224655
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The target of our research is the object being a highly conducting thin plate or a flat screen. We especially focus on the question of when a single measurement uniquely determines an object. By this, we mean that we have one fixed transmitted wave and the resulting scattered field is measured for all directions in the far field. Such measurements are called passive, since there is no need to move the transmitter after its position has been fixed. We show that the far field of a scattered electromagnetic field corresponding to a single incoming plane wave always uniquely determines a bounded super-conductive planar screen. This generalises a previous acoustic result.
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页数:12
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