Recovery of small electromagnetic inhomogeneities from boundary measurements on part of the boundary

Details Recovery of small electromagnetic inhomogeneities from boundary measurements on part of the boundary Recovery of small electromagnetic inhomogeneities from boundary measurements on part of the boundary

2001-11-08

arxiv.org/abs/math-ph/0111015v1

Physics

Mathematical Physics

Scientific paper

An inverse problem of identifying locations and certain properties of small dielectric inhomogeneities in a homogeneous background medium from boundary measurements on a part of the boundary is studied. Using as weights particular background solutions constructed by solving a minimization problem, an asymptotic (variational) method based on appropriate averaging of the partial boundary measurements is developed.

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