All Outputs (5)

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 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.

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.

Benchmark computations for the polarization tensor characterization of small conducting objects (2022)
Journal Article
Amad, A., Ledger, P. D., Betcke, T., & Praetorius, D. (2022). Benchmark computations for the polarization tensor characterization of small conducting objects. Applied Mathematical Modelling, 111, 94-107. https://doi.org/10.1016/j.apm.2022.06.024

The characterisation of small low conducting inclusions in an otherwise uniform background from low-frequency electrical field measurements has important applications in medical imaging using electrical impedance tomography as well as in geological i... Read More about Benchmark computations for the polarization tensor characterization of small conducting objects.

Identification of metallic objects using spectral magnetic polarizability tensor signatures: Object classification (2022)
Journal Article
Wilson, B. A., Ledger, P. D., & Lionheart, W. R. B. (2022). Identification of metallic objects using spectral magnetic polarizability tensor signatures: Object classification. International Journal for Numerical Methods in Engineering, 123(9), 2076-2111. https://doi.org/10.1002/nme.6927

The early detection of terrorist threat objects, such as guns and knives, through improved metal detection, has the potential to reduce the number of attacks and improve public safety and security. To achieve this, there is considerable potential to... Read More about Identification of metallic objects using spectral magnetic polarizability tensor signatures: Object classification.