Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations. (Q1606251)

The authors consider the time-harmonic Maxwell equations in the presence of finitely many interior inhomogeneities of small diameter. They develop a rigorous asymptotic analysis of the leading-order perturbations of the boundary magnetic fields. This extends results by \textit{M. S. Vogelius} and \textit{D. Volkov} [M2AN, Math. Model. Numer. Anal. 34, 723--748 (2000; Zbl 0971.78004)], where only solutions with TE and TM symmetries were considered. The asymptotic formulas are expected to lead to efficient identification algorithms for determining an object from electromagnetic boundary measurements.