Characterising small objects in the regime between the eddy current model and wave propagation

DOI10.1017/s0956792523000207MaRDI QIDQ6622986

Paul D. Ledger, William R. B. Lionheart

Publication date: 23 October 2024

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

inverse problemsasymptotic analysiseddy currentmagnetic polarizability tensormetal detectiontime harmonic Maxwell

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Electromagnetic theory (general) (78A25) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Maxwell equations (35Q61)

Cites Work

• Target detection and characterization from electromagnetic induction data
• Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
• Characterizing the shape and material properties of hidden targets from magnetic induction data
• The spectral properties of the magnetic polarizability tensor for metallic object characterisation
• A Justification of Eddy Currents Model for the Maxwell Equations
• Generalised magnetic polarizability tensors
• Finite Element Methods for Maxwell's Equations
• The perturbation of electromagnetic fields at distances that are large compared with the object's size
• Identification of metallic objects using spectral magnetic polarizability tensor signatures: Object classification
• Efficient Computation of the Magnetic Polarizability Tensor Spectral Signature using POD
• Identification of Metallic Objects using Spectral MPT Signatures: Object Characterisation and Invariants

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