Semi-analytical calculation of the low-frequency electromagnetic scattering from a near-surface spherical inclusion in a conducting half-space

A. Skarlatos (1, 2) , T. Theodoulidis (3)

1 DISC - Département Imagerie et Simulation pour le Contrôle
2 LIST (CEA) - Laboratoire d'Intégration des Systèmes et des Technologies
3 Department of Mechanical Engineering

The low-frequency electromagnetic scattering problem of a near-surface hollow spherical inclusion is solved by means of a modal approach. The primary field is excited using a current-carrying coil. The presented solution addresses the full coupling between the two interfaces of the geometry in a rigorous way. There is a direct physical interpretation of the different occurring terms in the formal solution, which provides a deeper understanding of the underlying phenomena. The calculation is very fast, which makes the proposed model suitable for use with parametric inversion algorithms.

Keywords: domain; mode-matching; low-frequency scattering; spherical inclusions; eddy-currents; Subject Areas: electromagnetism; applied mathematics; mathematical modelling Keywords: low-frequency scattering; domain truncation; non-destructive testing

Domains: Mathematics [math]; Computer Science [cs]

A. Skarlatos, T. Theodoulidis. Semi-analytical calculation of the low-frequency electromagnetic scattering from a near-surface spherical inclusion in a conducting half-space. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2014, 470, pp.0269. ⟨10.1098/rspa.2014.0269⟩. ⟨cea-01840483⟩