Skip to main content

Research Repository

Advanced Search

All Outputs (3)

Characterisation of multiple conducting permeable objects in metal detection by polarizability tensors (2018)
Journal Article
Ledger, P. D., Lionheart, W. R. B., & Amad, A. A. S. (2019). Characterisation of multiple conducting permeable objects in metal detection by polarizability tensors. Mathematical Methods in the Applied Sciences, 42(3), 830-860. https://doi.org/10.1002/mma.5387

Realistic applications in metal detection involve multiple inhomogeneous-conducting permeable objects, and the aim of this paper is to characterise such objects by polarizability tensors. We show that, for the eddy current model, the leading order te... Read More about Characterisation of multiple conducting permeable objects in metal detection by polarizability tensors.

Transient solutions to nonlinear acousto-magneto-mechanical coupling for axisymmetric MRI scanner design: Transient nonlinear acousto-magneto-mechanical coupling in MRI (2018)
Journal Article
Bagwell, S., Ledger, P., Gil, A., & Mallett, M. (2018). Transient solutions to nonlinear acousto-magneto-mechanical coupling for axisymmetric MRI scanner design: Transient nonlinear acousto-magneto-mechanical coupling in MRI. International Journal for Numerical Methods in Engineering, 115(2), 209-237. https://doi.org/10.1002/nme.5802

In this work, we simulate the coupled physics describing a magnetic resonance imaging (MRI) scanner by using a higher-order finite element discretisation and a Newton-Raphson algorithm. To apply the latter, a linearisation of the nonlinear system of... Read More about Transient solutions to nonlinear acousto-magneto-mechanical coupling for axisymmetric MRI scanner design: Transient nonlinear acousto-magneto-mechanical coupling in MRI.

An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization (2018)
Journal Article
Ledger, P. D., & Lionheart, W. R. B. (2018). An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization. IEEE Transactions on Geoscience and Remote Sensing, 56(6), 3520-3533. https://doi.org/10.1109/tgrs.2018.2801359

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 f... Read More about An Explicit Formula for the Magnetic Polarizability Tensor for Object Characterization.