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Understanding the magnetic polarizability tensor

Paul Ledger, W. R. Bill Lionheart

IEEE Transactions on Magnetics, Volume: 52, Issue: 5, Pages: 1 - 16

Swansea University Author: Paul Ledger

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DOI (Published version): 10.1109/TMAG.2015.2507169

Abstract

The aim of this paper is to provide new insights into the properties of the rank 2 polarizability tensor M̆ proposed by Ledger and Lionheart for describing the perturbation in the magnetic field caused by the presence of a conducting object in the eddy-current regime. In particular, we explore its c...

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Published in: IEEE Transactions on Magnetics
ISSN: 0018-9464 1941-0069
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa26710
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Abstract: The aim of this paper is to provide new insights into the properties of the rank 2 polarizability tensor M̆ proposed by Ledger and Lionheart for describing the perturbation in the magnetic field caused by the presence of a conducting object in the eddy-current regime. In particular, we explore its connection with the magnetic polarizability tensor and the Pólya-Szegö tensor and how, by introducing new splittings of M̆, they form a family of rank 2 tensors for describing the response from different categories of conducting (permeable) objects. We include new bounds on the invariants of the Pólya-Szegö tensor and expressions for the low-frequency and high-conductivity limiting coefficients of M̆. We show, for the high-conductivity case (and for frequencies at the limit of the quasi-static approximation), that it is important to consider whether the object is simply or multiply connected but, for the low-frequency case, the coefficients are independent of the connectedness of the object. Furthermore, we explore the frequency response of the coefficients of M̆ for a range of simply and multiply connected objects.
Item Description: This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/
College: Faculty of Science and Engineering
Issue: 5
Start Page: 1
End Page: 16

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