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Boundary integral formulae for the reconstruction of electricand electromagnetic inhomogeneities of small volume

Published online by Cambridge University Press:  15 September 2003

Habib Ammari ,
Shari Moskow  and
Michael S. Vogelius
Habib Ammari
Affiliation:
CMAP, École Polytechnique, 91128 Palaiseau, France.
Shari Moskow
Affiliation:
Department of Mathematics, University of Florida, Gainesville, FL 32611, USA.
Michael S. Vogelius
Affiliation:
Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA; vogelius@hilbert.rutgers.edu.
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Abstract

In this paper we discuss the approximate reconstruction of inhomogeneities of small volume. The data used for the reconstruction consist of boundary integrals of the (observed) electromagnetic fields. The numerical algorithms discussed are based on highly accurate asymptotic formulae for the electromagnetic fields in the presence of small volume inhomogeneities.

Keywords

Electromagnetic imagingsmall inhomogeneitiesnumerical reconstruction algorithms.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 9 , January 2003 , pp. 49 - 66
Copyright
© EDP Sciences, SMAI, 2003

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References

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