Time-dependent current source identification for numerical simulations of Maxwell's equations

J. Benoit (1, 2) , C. Chauvière (3) , P. Bonnet (2)

1 DACLE-LIST - Département d'Architectures, Conception et Logiciels Embarqués-LIST
2 IP - Institut Pascal
3 LMBP - Laboratoire de Mathématiques Blaise Pascal

This paper discusses an inverse source problem for time-dependent linear Maxwell's equations. We propose a numerical procedure to compute a current density source that gives a specified electromagnetic field. The efficiency of our method is shown by numerical tests, first in 1D and then we move on to a 3D example with antennas. In that case, we show potential applications for fault detection.

Keywords: Inverse source problem; Time-dependent Maxwell's equations; Fault diagnosis

Domains: Computer Science [cs]; Engineering Sciences [physics]

J. Benoit, C. Chauvière, P. Bonnet. Time-dependent current source identification for numerical simulations of Maxwell's equations. Journal of Computational Physics, 2015, 289, pp.116 - 128. ⟨10.1016/j.jcp.2015.02.033⟩. ⟨cea-01845604⟩