An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization
An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization
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DOI：
10.1109/tgrs.2018.2801359
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发表时间：
2018-03
影响因子：
8.2
通讯作者：
P. Ledger;W. Lionheart
中科院分区：
文献类型：
--
作者：
P. Ledger;W. Lionheart
极化率张量（MPT）已经吸引了相当大的兴趣，由于它提供的可能性，用于表征导电物体，并协助识别和定位隐藏的目标，在金属探测。一个明确的公式计算其任意形状的物体是失踪的电气工程文献。此外，由物体的存在引起的扰动场的磁偶极子近似的有效性的情况还没有完全理解。另一方面，在应用数学界，已经推导出了小物体扰动磁场的渐近展开式，并得到了计算MPT的严格公式。本文的目的是将两个社区的结果，提供了一个严格的理由MPT，并解释的情况下，近似是有效的。
The magnetic polarizability tensor (MPT) has attracted considerable interest due to the possibility it offers for characterizing conducting objects and assisting with the identification and location of hidden targets in metal detection. An explicit formula for its calculation for arbitrary-shaped objects is missing in the electrical engineering literature. Furthermore, the circumstances for the validity of the magnetic dipole approximation of the perturbed field, induced by the presence of the object, are not fully understood. On the other hand, in the applied mathematics community, an asymptotic expansion of the perturbed magnetic field has been derived for small objects and a rigorous formula for the calculation of the MPT has been obtained. The purpose of this paper is to relate the results of the two communities, to provide a rigorous justification for the MPT, and to explain the situations in which the approximation is valid.