a1 Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA. (firstname.lastname@example.org)
a2 Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA. (email@example.com)
We consider solutions to the time-harmonic Maxwell's Equations of a TE (transverse electric) nature. For such solutions we provide a rigorous derivation of the leading order boundary perturbations resulting from the presence of a finite number of interior inhomogeneities of small diameter. We expect that these formulas will form the basis for very effective computational identification algorithms, aimed at determining information about the inhomogeneities from electromagnetic boundary measurements.
(Received October 19 1999)
(Revised February 11 2000)
(Online publication April 15 2002)
Mathematics Subject Classification: