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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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spelling 2019-06-27T10:18:57.1880871 v2 26710 2016-03-07 Understanding the magnetic polarizability tensor 068dd31af167bcda33878951b2a01e97 Paul Ledger Paul Ledger true false 2016-03-07 FGSEN 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. Journal Article IEEE Transactions on Magnetics 52 5 1 16 0018-9464 1941-0069 31 5 2016 2016-05-31 10.1109/TMAG.2015.2507169 http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7350159 This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/ COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2019-06-27T10:18:57.1880871 2016-03-07T11:02:28.1837157 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Paul Ledger 1 W. R. Bill Lionheart 2 0026710-12102016142603.pdf ledger2016(2).pdf 2016-10-12T14:26:03.7470000 Output 1316752 application/pdf Proof true 2016-10-12T00:00:00.0000000 false
title Understanding the magnetic polarizability tensor
spellingShingle Understanding the magnetic polarizability tensor
Paul Ledger
title_short Understanding the magnetic polarizability tensor
title_full Understanding the magnetic polarizability tensor
title_fullStr Understanding the magnetic polarizability tensor
title_full_unstemmed Understanding the magnetic polarizability tensor
title_sort Understanding the magnetic polarizability tensor
author_id_str_mv 068dd31af167bcda33878951b2a01e97
author_id_fullname_str_mv 068dd31af167bcda33878951b2a01e97_***_Paul Ledger
author Paul Ledger
author2 Paul Ledger
W. R. Bill Lionheart
format Journal article
container_title IEEE Transactions on Magnetics
container_volume 52
container_issue 5
container_start_page 1
publishDate 2016
institution Swansea University
issn 0018-9464
1941-0069
doi_str_mv 10.1109/TMAG.2015.2507169
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
url http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7350159
document_store_str 1
active_str 0
description 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.
published_date 2016-05-31T03:32:08Z
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score 11.013686

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