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math.AP2025
Characterising buried objects in metal detection
P. D. Ledger, W. R. B. Lionheart
Current mathematical models for identifying highly conducting buried objects in metal detection assume that the soil is non-conducting and has the same permeability as free space.…
math.AP2022
Characterising small objects in the regime between the eddy current model and wave propagation
P. D. Ledger, W. R. B. Lionheart
Being able to characterise objects at low frequencies, but above the limiting frequency of the eddy current approximation of the Maxwell system, is important for improving current…
math.AP2018
Characterisation of Multiple Conducting Permeable Objects in Metal Detection by Polarizability Tensors
P. D. Ledger, W. R. B. Lionheart, A. A. S. Amad
Realistic applications in metal detection involve multiple inhomogeneous conducting permeable objects and the aim of this paper is to characterise such objects by polarizability te…