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 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.
Inverse source problems for eddy current equations / Rodrıguez, Ana Alonso; Camaño, Jessika; Valli, Alberto. - In: INVERSE PROBLEMS. - ISSN 0266-5611. - STAMPA. - 28:1(2012), pp. 015006-1-015006-15. [10.1088/0266-5611/28/1/015006]
Inverse source problems for eddy current equations
Rodrıguez, Ana AlonsoPrimo
;Valli, AlbertoUltimo
2012-01-01
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 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.File | Dimensione | Formato | |
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