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The spectral properties of the magnetic polarizability tensor for metallic object characterisation

Paul Ledger, W.R.B. Lionheart

Mathematical Methods in the Applied Sciences, Volume: 43, Issue: 1, Pages: 78 - 113

Swansea University Author: Paul Ledger

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DOI (Published version): 10.1002/mma.5830

Abstract

The measurement of time‐harmonic perturbed field data, at a range of frequencies, is beneficial for practical metal detection, where the goal is to locate and identify hidden targets. In particular, these benefits are realised when frequency‐dependent magnetic polarizability tensors (MPTs) are used...

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Published in: Mathematical Methods in the Applied Sciences
ISSN: 0170-4214 1099-1476
Published: Wiley 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa50948
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spelling 2019-08-28T11:56:37.5972803 v2 50948 2019-06-27 The spectral properties of the magnetic polarizability tensor for metallic object characterisation 068dd31af167bcda33878951b2a01e97 Paul Ledger Paul Ledger true false 2019-06-27 FGSEN The measurement of time‐harmonic perturbed field data, at a range of frequencies, is beneficial for practical metal detection, where the goal is to locate and identify hidden targets. In particular, these benefits are realised when frequency‐dependent magnetic polarizability tensors (MPTs) are used to provide an economical characterisation of conducting permeable objects, and a dictionary‐based classifier is employed. However, despite the advantages shown in dictionary‐based classifiers, the behaviour of the MPT coefficients with frequency is not properly understood. In this paper, we rigorously analyse, for the first time, the spectral properties of the coefficients of the MPT. This analysis has the potential to improve existing algorithms and design new approaches for object location and identification in metal detection. Our analysis also enables the response transient response from a conducting permeable object to be predicted for more general forms of excitation. Journal Article Mathematical Methods in the Applied Sciences 43 1 78 113 Wiley 0170-4214 1099-1476 asymptotic analysis, eddy current, inverse problems, magnetic polarizability tensor, metal detection, spectral problems 15 1 2020 2020-01-15 10.1002/mma.5830 http://dx.doi.org/10.1002/mma.5830 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University UKRI, EP/R002134/1, EP/R002177/1 2019-08-28T11:56:37.5972803 2019-06-27T10:02:29.8203034 Paul Ledger 1 W.R.B. Lionheart 2 0050948-28082019115532.pdf 50948.pdf 2019-08-28T11:55:32.0970000 Output 1249535 application/pdf Version of Record true 2019-08-28T00:00:00.0000000 Distributed under the terms of a Creative Commoms Attribution 4.0 CC-BY Licence true eng
title The spectral properties of the magnetic polarizability tensor for metallic object characterisation
spellingShingle The spectral properties of the magnetic polarizability tensor for metallic object characterisation
Paul Ledger
title_short The spectral properties of the magnetic polarizability tensor for metallic object characterisation
title_full The spectral properties of the magnetic polarizability tensor for metallic object characterisation
title_fullStr The spectral properties of the magnetic polarizability tensor for metallic object characterisation
title_full_unstemmed The spectral properties of the magnetic polarizability tensor for metallic object characterisation
title_sort The spectral properties of the magnetic polarizability tensor for metallic object characterisation
author_id_str_mv 068dd31af167bcda33878951b2a01e97
author_id_fullname_str_mv 068dd31af167bcda33878951b2a01e97_***_Paul Ledger
author Paul Ledger
author2 Paul Ledger
W.R.B. Lionheart
format Journal article
container_title Mathematical Methods in the Applied Sciences
container_volume 43
container_issue 1
container_start_page 78
publishDate 2020
institution Swansea University
issn 0170-4214
1099-1476
doi_str_mv 10.1002/mma.5830
publisher Wiley
url http://dx.doi.org/10.1002/mma.5830
document_store_str 1
active_str 0
description The measurement of time‐harmonic perturbed field data, at a range of frequencies, is beneficial for practical metal detection, where the goal is to locate and identify hidden targets. In particular, these benefits are realised when frequency‐dependent magnetic polarizability tensors (MPTs) are used to provide an economical characterisation of conducting permeable objects, and a dictionary‐based classifier is employed. However, despite the advantages shown in dictionary‐based classifiers, the behaviour of the MPT coefficients with frequency is not properly understood. In this paper, we rigorously analyse, for the first time, the spectral properties of the coefficients of the MPT. This analysis has the potential to improve existing algorithms and design new approaches for object location and identification in metal detection. Our analysis also enables the response transient response from a conducting permeable object to be predicted for more general forms of excitation.
published_date 2020-01-15T04:02:39Z
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score 11.013619

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