On the perturbation of the electromagnetic energy due to the presence of inhomogeneities with small diameters

Details On the perturbation of the electromagnetic energy due to the presence of inhomogeneities with small diameters On the perturbation of the electromagnetic energy due to the presence of inhomogeneities with small diameters

2007-05-31

arxiv.org/abs/0705.4517v1

Physics

Mathematical Physics

Scientific paper

We consider solutions to the time-harmonic Maxwell problem in $\R^3$. For such solution we provide a rigorous derivation of the asymptotic expansions in the practically interesting situation, where a finite number of inhomogeneities of small diameter are imbedded in the entire space. Then, we describe the behavior of the electromagnetic energy caused by the presence of these inhomogeneities.

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