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Pre-Publicación 2011-19

Ana Alonso-Rodriguez, Jessika Camaño, Alberto Valli:

Inverse source problems for eddy current equations

Abstract:

We study the inverse source problem for the eddy current approximation of Maxwell equations. As for the full system of Maxwell equations, we show that a volume current source cannot be uniquely identified by the knowledge of the tangential components of the electromagnetic fields on the boundary, and we characterize the space of non-radiating sources. On the other hand, we prove that the inverse source problem has a unique solution if the source is supported on the boundary of a subdomain or if it is the sum of a finite number of dipoles. We address the applicability of this result for the localization of brain activity from electroencephalography and magnetoencephalography measurements.

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Esta prepublicacion dio origen a la(s) siguiente(s) publicación(es) definitiva(s):

Ana ALONSO-RODRIGUEZ, Jessika CAMAñO, Alberto VALLI: Inverse source problems for eddy current equations. Inverse Problems, vol. 28, 1, 015001 (24pp), (2012).