Summary: J. Math. Pures Appl. 80, 8 (2001) 769­814
2001 Éditions scientifiques et médicales Elsevier SAS. All rights reserved
S0021-7824(01)01217-X/FLA
ASYMPTOTIC FORMULAS FOR PERTURBATIONS IN
THE ELECTROMAGNETIC FIELDS DUE TO THE
PRESENCE OF INHOMOGENEITIES OF SMALL
DIAMETER II. THE FULL MAXWELL EQUATIONS
Habib AMMARI a, Michael S. VOGELIUS b,, Darko VOLKOV b
a CMAP, École Polytechnique, 91128 Palaiseau, France
b Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA
Manuscript received 15 January 2001
ABSTRACT. ­ We consider solutions to the time-harmonic Maxwell Equations. For such solutions we
provide a rigorous derivation of the the leading order boundary perturbations resulting from the presence
of a finite number of interior inhomogeneities of small diameter. These formulas generalize those by
Vogelius and Volkov, where only solutions with "transverse electric" and "transverse magnetic" symmetries
were considered. Our formulas may be expected to lead to very effective computational identification
algorithms, aimed at determining specific internal features of an object based on electromagnetic boundary
measurements. 2001 Éditions scientifiques et médicales Elsevier SAS
Keywords: Maxwell equations, Inverse problems, Small inhomogeneities
1. Introduction

Source: Ammari, Habib - Centre de Mathématique Appliquées, École Polytechnique

Collections: Mathematics