Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
CMAP, École Polytechnique, 91128 Palaiseau, France.
2 Department of Mathematics, University of Florida, Gainesville, FL 32611, USA.
3 Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA; email@example.com.
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.
Mathematics Subject Classification: 35J25 / 35R30 / 65R99
Key words: Electromagnetic imaging / small inhomogeneities / numerical reconstruction algorithms.
© EDP Sciences, SMAI, 2003