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Issue ESAIM: Proc.
Volume 22, 2008
CANUM 2006 - Congrès National d'Analyse Numérique
Page(s) 40 - 51
DOI http://dx.doi.org/10.1051/proc:072204
Published online 01 February 2008

ESAIM: Proc., 2008, Vol. 22, pp. 40-51
DOI: 10.1051/proc:072204

Imagerie électromagnétique de petites inhomogénéités

Yves Capdeboscq1 and Michael S. Vogelius2

1  Laboratoire de Mathématiques de Versailles, Université de Versailles Saint-Quentin-en-Yvelines, CNRS, 78035 Versailles cedex, France
2  Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA


(Published online: 1 February 2008)

Abstract
We give a short review of some recent results concerning asymptotic representation formulas for the perturbations in the electromagnetic fields caused by the presence of small inhomogeneities. We also discuss how these representation formulas may be used to design very effective numerical algorithms to recover the inhomogeneities for overdetermined boundary data.


Résumé
Nous faisons ici une présentation synthétique de certains résultats récents concernant des formules de représentations asymptotiques pour les perturbations des champs électromagnétiques causées par la présences de petite inhomogénéités. Nous discutons aussi de la manière dont ces formules de représentations peuvent être utilisées pour construire des algorithmes numériques très efficaces permettant de reconstruire les inhomogénéités à partir de données au bord sur-déterminées.



© EDP Sciences, ESAIM 2007


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