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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
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 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.
Keywords: asymptotic analysis, eddy current, inverse problems, magnetic polarizability tensor, metal detection, spectral problems
Issue: 1
Start Page: 78
End Page: 113

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