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An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization

Paul Ledger, William R. B. Lionheart

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

Swansea University Author: Paul Ledger

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DOI (Published version): 10.1109/TGRS.2018.2801359

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
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URI: https://cronfa.swan.ac.uk/Record/cronfa38335
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first_indexed 2018-01-29T20:20:23Z
last_indexed 2020-07-13T18:57:23Z
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spelling 2020-07-13T16:27:52.5635121 v2 38335 2018-01-29 An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization 068dd31af167bcda33878951b2a01e97 Paul Ledger Paul Ledger true false 2018-01-29 FGSEN 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. Journal Article IEEE Transactions on Geoscience and Remote Sensing 56 6 3520 3533 0196-2892 1558-0644 Harmonic analysis, metals, tensile stress, sea measurements, magnetic moments, magnetic resonance imaging 31 12 2018 2018-12-31 10.1109/TGRS.2018.2801359 http://ieeexplore.ieee.org/document/8328014/ COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University EPSRC, EP/R002134/1 2020-07-13T16:27:52.5635121 2018-01-29T15:06:30.0248309 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Paul Ledger 1 William R. B. Lionheart 2 0038335-03042018100409.pdf Ledger.Gold.OA.APCCD87.08328014.pdf 2018-04-03T10:04:09.0800000 Output 2558958 application/pdf Version of Record true 2018-04-03T00:00:00.0000000 Distributed under the terms of a Creative Commons Attribution CC-BY 3.0 License. true eng
title An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization
spellingShingle An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization
Paul Ledger
title_short An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization
title_full An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization
title_fullStr An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization
title_full_unstemmed An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization
title_sort An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization
author_id_str_mv 068dd31af167bcda33878951b2a01e97
author_id_fullname_str_mv 068dd31af167bcda33878951b2a01e97_***_Paul Ledger
author Paul Ledger
author2 Paul Ledger
William R. B. Lionheart
format Journal article
container_title IEEE Transactions on Geoscience and Remote Sensing
container_volume 56
container_issue 6
container_start_page 3520
publishDate 2018
institution Swansea University
issn 0196-2892
1558-0644
doi_str_mv 10.1109/TGRS.2018.2801359
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/document/8328014/
document_store_str 1
active_str 0
description 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.
published_date 2018-12-31T03:48:29Z
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score 11.013686

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