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Generalised magnetic polarizability tensors

Paul Ledger, William R.B. Lionheart

Mathematical Methods in the Applied Sciences, Volume: 41, Issue: 8, Pages: 3175 - 3196

Swansea University Author: Paul Ledger

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DOI (Published version): 10.1002/mma.4809

Abstract

We present a new complete asymptotic expansion for the low‐frequency time‐harmonic magnetic field perturbation caused by the presence of a conducting (permeable) object as its size tends to zero for the eddy current regime of Maxwell's equations. The new asymptotic expansion allows the characte...

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Published in: Mathematical Methods in the Applied Sciences
ISSN: 0170-4214
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa38104
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first_indexed 2018-01-15T19:25:49Z
last_indexed 2023-02-09T03:47:12Z
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spelling 2023-02-08T17:08:51.9447534 v2 38104 2018-01-15 Generalised magnetic polarizability tensors 068dd31af167bcda33878951b2a01e97 Paul Ledger Paul Ledger true false 2018-01-15 FGSEN We present a new complete asymptotic expansion for the low‐frequency time‐harmonic magnetic field perturbation caused by the presence of a conducting (permeable) object as its size tends to zero for the eddy current regime of Maxwell's equations. The new asymptotic expansion allows the characterisation of the shape and material properties of such objects by a new class of generalised magnetic polarizability tensors, and we provide an explicit formula for their calculation. Our result will have important implications for metal detectors since it will improve small object discrimination, and for situations where the background field varies over the inclusion, this information will be useable, and indeed useful, in identifying their shape and material properties. Thus, improving the ability of metal detectors to locate landmines and unexploded ordnance, sort metals in recycling processes, and ensure food safety as well as enhancing security screening at airports and public events. Journal Article Mathematical Methods in the Applied Sciences 41 8 3175 3196 0170-4214 asymptotic expansion, eddy currents, landmine detection, metal detectors, polarizability tensors 30 5 2018 2018-05-30 10.1002/mma.4809 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2023-02-08T17:08:51.9447534 2018-01-15T13:10:39.8733136 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering Paul Ledger 1 William R.B. Lionheart 2 0038104-26032018084718.pdf ledger2018(3).pdf 2018-03-26T08:47:18.0570000 Output 456738 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution License (CC-BY). true eng http://creativecommons.org/licenses/by/4.0/
title Generalised magnetic polarizability tensors
spellingShingle Generalised magnetic polarizability tensors
Paul Ledger
title_short Generalised magnetic polarizability tensors
title_full Generalised magnetic polarizability tensors
title_fullStr Generalised magnetic polarizability tensors
title_full_unstemmed Generalised magnetic polarizability tensors
title_sort Generalised magnetic polarizability tensors
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 Mathematical Methods in the Applied Sciences
container_volume 41
container_issue 8
container_start_page 3175
publishDate 2018
institution Swansea University
issn 0170-4214
doi_str_mv 10.1002/mma.4809
college_str Faculty of Science and Engineering
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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 Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering
document_store_str 1
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description We present a new complete asymptotic expansion for the low‐frequency time‐harmonic magnetic field perturbation caused by the presence of a conducting (permeable) object as its size tends to zero for the eddy current regime of Maxwell's equations. The new asymptotic expansion allows the characterisation of the shape and material properties of such objects by a new class of generalised magnetic polarizability tensors, and we provide an explicit formula for their calculation. Our result will have important implications for metal detectors since it will improve small object discrimination, and for situations where the background field varies over the inclusion, this information will be useable, and indeed useful, in identifying their shape and material properties. Thus, improving the ability of metal detectors to locate landmines and unexploded ordnance, sort metals in recycling processes, and ensure food safety as well as enhancing security screening at airports and public events.
published_date 2018-05-30T03:48:09Z
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score 11.037603

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