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首页> 外文期刊>Inverse Problems: An International Journal of Inverse Problems, Inverse Methods and Computerised Inversion of Data >A uniqueness result for the inverse electromagnetic scattering problem in a two-layered medium
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A uniqueness result for the inverse electromagnetic scattering problem in a two-layered medium

机译:两层介质中反电磁散射问题的唯一性结果

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This paper is concerned with the inverse problem of scattering of time-harmonic electromagnetic waves by an impenetrable obstacle buried in the lower half-space of a two-layered background medium. We prove that the buried obstacle and its physical property can be uniquely determined from a knowledge of the tangential component of the electric field on some two-dimensional device in the upper half-space corresponding to all incident electric dipoles located on another two-dimensional device in the upper half-space with two different polarizations. The key ingredient of our proof is a novel reciprocity relation established in this paper for the solution of the scattering problem of the electric dipole located at two different source points.
机译:本文涉及埋在两层背景介质下半空间中的不可穿透障碍物对时谐波电磁波的散射的反问题。我们证明,通过了解上半空间中某个二维设备上与位于另一个二维设备上的所有入射电偶极子对应的二维设备上电场的切向分量,可以唯一地确定掩埋障碍物及其物理性质在具有两个不同极化的上半空间。我们证明的关键因素是本文建立的新颖互惠关系,用于解决位于两个不同源点的电偶极子的散射问题。

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