A variational approach to an electromagnetic inverse problem

Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591 and Jais, Mathias 2011. A variational approach to an electromagnetic inverse problem. Inverse Problems 27 (4) , 045011. 10.1088/0266-5611/27/4/045011

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Abstract

We present a variational approach to the inverse problem of electromagnetic imaging of determining the coefficients μr and r in the Maxwell system, ∇ ×E + kμrH = 0, (1) ∇ ×H − k�rE = 0, (2) from near field data, measured on the boundary of a three-dimensional body Ω. We show that this inverse problem can be solved by minimizing a positive functional G(m,c) and using a conjugate gradient scheme. Apart from implementations with global boundary, we also consider the case of partial boundary, where we have only data available on a subset Γ⊂∂Ω. To show the effectiveness and the stability of our approach we present various numerical results with noisy data.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Publisher:	Institute of Physics
ISSN:	0266-5611
Last Modified:	18 Oct 2022 13:00
URI:	https://orca.cardiff.ac.uk/id/eprint/11976

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