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Uniqueness of electromagnetic inversion by local surface measurements

机译:通过局部表面测量得出的电磁反演的唯一性

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摘要

Assume that a bounded body has been embedded in a homogeneous half-space. Our aim is to reconstruct the electromagnetic material parameters, namely the electric permittivity, conductivity and magnetic permeability, of the body from local field measurements on the surface of the half-space. All fields are supposed to be governed by time-harmonic Maxwell equations. We consider two kinds of initial data. The first data set consists of tangential electric and magnetic field vectors of a tangential magnetic dipole for all field and source points in an open subset of the surface. The second data set is one that we know locally on the surface - the admittance map - which, by definition, associates the tangential magnetic field with the tangential electric field. The purpose of this paper is to show that both of the data sets determine the material parameters uniquely.
机译:假设有界物体已嵌入均匀的半空间中。我们的目的是根据半空间表面上的局部场测量值来重建人体的电磁材料参数,即介电常数,电导率和磁导率。假定所有场均由时谐麦克斯韦方程控制。我们考虑两种初始数据。第一个数据集由表面的开放子集中所有场和源点的切向磁偶极子的切向电场和磁场矢量组成。第二个数据集是我们在表面上局部已知的数据-导纳图-根据定义,该数据集将切向磁场与切向电场相关联。本文的目的是证明这两个数据集唯一地确定材料参数。

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