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Computations and Measurements of the Magnetic Polarizability Tensor Characterisation of Highly Conducting and Magnetic Objects (2023)
Journal Article
Elgy, J., Ledger, P. D., Davidson, J. L., Özdeger, T., & Peyton, A. J. (2023). Computations and Measurements of the Magnetic Polarizability Tensor Characterisation of Highly Conducting and Magnetic Objects. Engineering Computations, 40(7/8), 1778-1806. https://doi.org/10.1108/EC-11-2022-0688

Purpose
The ability to characterise highly conducting objects, that may also be highly magnetic, by the complex symmetric rank–2 magnetic polarizability tensor (MPT) is important for metal detection applications including discriminating between thre... Read More about Computations and Measurements of the Magnetic Polarizability Tensor Characterisation of Highly Conducting and Magnetic Objects.

Reduced order modelling using neural networks for predictive modelling of 3d-magneto-mechanical problems with application to magnetic resonance imaging scanners (2023)
Journal Article
Miah, S., Sooriyakanthan, Y., Ledger, P. D., Gil, A. J., & Mallett, M. (2023). Reduced order modelling using neural networks for predictive modelling of 3d-magneto-mechanical problems with application to magnetic resonance imaging scanners. Engineering with Computers, 39(6), 4103-4127. https://doi.org/10.1007/s00366-023-01870-3

The design of magnets for magnetic resonance imaging (MRI) scanners requires the numerical simulation of a coupled magneto-mechanical system where the effects that different material parameters and in-service loading conditions have on both imaging a... Read More about Reduced order modelling using neural networks for predictive modelling of 3d-magneto-mechanical problems with application to magnetic resonance imaging scanners.

Characterising small objects in the regime between the eddy current model and wave propagation (2023)
Journal Article
Ledger, P. D., & Lionheart, W. R. B. (2023). Characterising small objects in the regime between the eddy current model and wave propagation. European Journal of Applied Mathematics, 1-24. https://doi.org/10.1017/S0956792523000207

Being able to characterise objects at low frequencies, but in situations where the modelling error in the eddy current approximation of the Maxwell system becomes large, is important for improving current metal detection technologies. Importantly, th... Read More about Characterising small objects in the regime between the eddy current model and wave propagation.

Measuring the Magnetic Polarizability Tensor of Non-Symmetrical Metallic Objects (2023)
Journal Article
Özdeğer, T., Ozdeger, T., Davidson, J. L., Davidson, J., Ledger, P. D., Conniffe, D., Lionheart, W. R. B., Lionheart, W., Peyton, A. J., & Peyton, A. (2023). Measuring the Magnetic Polarizability Tensor of Non-Symmetrical Metallic Objects. IEEE Sensors Journal, 23(17), 20027-20036. https://doi.org/10.1109/jsen.2023.3296439

The Magnetic Polarizability Tensor (MPT) is a representative electromagnetic property of a metallic object, which depends on the size, material, shape, and excitation frequency of the object. The MPT can be used to describe the response of metal dete... Read More about Measuring the Magnetic Polarizability Tensor of Non-Symmetrical Metallic Objects.

Reduced order model approaches for predicting the magnetic polarizability tensor for multiple parameters of interest (2023)
Journal Article
Elgy, J., & Ledger, P. D. (2023). Reduced order model approaches for predicting the magnetic polarizability tensor for multiple parameters of interest. Engineering with Computers, 39(6), 4061-4076. https://doi.org/10.1007/s00366-023-01868-x

The design of magnets for magnetic resonance imaging (MRI) scanners requires the numerical simulation of a coupled magneto-mechanical system where the effects that different material parameters and in-service loading conditions have on both imaging a... Read More about Reduced order model approaches for predicting the magnetic polarizability tensor for multiple parameters of interest.

Effect of Scanning Acceleration on the Leakage Signal in Magnetic Flux Leakage Type of Non-destructive Testing (2023)
Journal Article
Zhang, L., Cameron, I., Ledger, P., Belblidia, F., Pearson, N., Charlton, P., & Sienz, J. (2023). Effect of Scanning Acceleration on the Leakage Signal in Magnetic Flux Leakage Type of Non-destructive Testing. Journal of Nondestructive Evaluation, https://doi.org/10.1007/s10921-023-00925-1

This work investigates the influence of acceleration on the leakage signal in magnetic flux leakage type of non-destructive testing. The research is addressed through both designed experiments and simulations. The results showed that the leakage sign... Read More about Effect of Scanning Acceleration on the Leakage Signal in Magnetic Flux Leakage Type of Non-destructive Testing.

Minimal Object Characterisations using Harmonic Generalised Polarizability Tensors and Symmetry Groups (2022)
Journal Article
Ledger, P., & Lionheart, B. (2022). Minimal Object Characterisations using Harmonic Generalised Polarizability Tensors and Symmetry Groups. SIAM Journal on Applied Mathematics, 2057-2079. https://doi.org/10.1137/22M1471547

We introduce a new type of object characterisation, which is capable of accurately describing small iso?lated inclusions for potential field inverse problems such as in electrostatics, magnetostatics and related
low frequency Maxwell problems. Relev... Read More about Minimal Object Characterisations using Harmonic Generalised Polarizability Tensors and Symmetry Groups.

Properties of Generalised Magnetic Polarizability Tensors (2022)
Journal Article
Ledger, P., & Lionheart, B. (2022). Properties of Generalised Magnetic Polarizability Tensors. Mathematical Methods in the Applied Sciences, 46(5), 5604-5631. https://doi.org/10.1002/mma.8856

We present new alternative complete asymptotic expansions for the time harmonic low–frequency magnetic field perturbation caused by the presence of a conducting permeable object as its size tends to zero for the eddy current approximation of the Maxw... Read More about Properties of Generalised Magnetic Polarizability Tensors.

Properties of generalized magnetic polarizability tensors (2022)
Journal Article
Ledger, P., & Lionheart, W. R. B. (2023). Properties of generalized magnetic polarizability tensors. Mathematical Methods in the Applied Sciences, 46(5), 5604-5631. https://doi.org/10.1002/mma.8856

We present new alternative complete asymptotic expansions for the time harmonic low‐frequency magnetic field perturbation caused by the presence of a conducting permeable object as its size tends to zero for the eddy current approximation of the Maxw... Read More about Properties of generalized magnetic polarizability tensors.

Transient changes during microwave ablation simulation : a comparative shape analysis. (2022)
Journal Article
Kernot, D., Yang, J., Williams, N., Thomas, T., Ledger, P., Arora, H., & van Loon, R. (2022). Transient changes during microwave ablation simulation : a comparative shape analysis. Biomechanics and Modeling in Mechanobiology, https://doi.org/10.1007/s10237-022-01646-6

Microwave ablation therapy is a hyperthermic treatment for killing cancerous tumours whereby microwave energy is dispersed into a target tissue region. Modelling can provide a prediction for the outcome of ablation, this paper explores changes in siz... Read More about Transient changes during microwave ablation simulation : a comparative shape analysis..