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The perturbation of electromagnetic fields at distances that are large compared with the object's size (2014)
Journal Article
Ledger, P. D., & Lionheart, W. R. B. (2015). The perturbation of electromagnetic fields at distances that are large compared with the object's size. IMA Journal of Applied Mathematics, 80(3), 865-892. https://doi.org/10.1093/imamat/hxu009

We rigorously derive the leading-order terms in asymptotic expansions for the scattered electric and magnetic fields in the presence of a small object at distances that are large compared with its size. Our expansions hold for fixed wavenumber when t... Read More about The perturbation of electromagnetic fields at distances that are large compared with the object's size.

An hp-fem framework for the simulation of electrostrictive and magnetostrictive materials (2013)
Journal Article
Jin, D., Ledger, P., & Gil, A. (2014). An hp-fem framework for the simulation of electrostrictive and magnetostrictive materials. Computers and Structures, 133, 131-148. https://doi.org/10.1016/j.compstruc.2013.10.009

The physical understanding of coupled electro-magneto-mechanics has long been a topic of particular importance for scientists. However, it is only in more recent times that the computational mechanics community has been involved, due to the particula... Read More about An hp-fem framework for the simulation of electrostrictive and magnetostrictive materials.

Fast Magnetic Flux Leakage Signal Inversion for the Reconstruction of Arbitrary Defect Profiles in Steel Using Finite Elements (2012)
Journal Article
Priewald, R. H., Magele, C., Ledger, P. D., Pearson, N. R., & Mason, J. S. D. (2013). Fast Magnetic Flux Leakage Signal Inversion for the Reconstruction of Arbitrary Defect Profiles in Steel Using Finite Elements. IEEE Transactions on Magnetics, 49(1), 506-516. https://doi.org/10.1109/tmag.2012.2208119

This paper proposes a fast and effective method for reconstructing arbitrary defect profiles in steel plates from magnetic flux leakage (MFL) measurements widely used in nondestructive testing (NDT) of oil storage tanks and pipelines. The inverse rec... Read More about Fast Magnetic Flux Leakage Signal Inversion for the Reconstruction of Arbitrary Defect Profiles in Steel Using Finite Elements.