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An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization / Paul, Ledger

IEEE Transactions on Geoscience and Remote Sensing, Volume: 56, Issue: 6, Pages: 3520 - 3533

Swansea University Author: Paul, Ledger

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Abstract

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 ob...

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Published in: IEEE Transactions on Geoscience and Remote Sensing
ISSN: 0196-2892 1558-0644
Published: 2018
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa38335
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Abstract: 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.
Keywords: Harmonic analysis, metals, tensile stress, sea measurements, magnetic moments, magnetic resonance imaging
College: College of Engineering
Issue: 6
Start Page: 3520
End Page: 3533