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arxiv: 0705.4517 · v1 · submitted 2007-05-31 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords inhomogeneitieselectromagneticenergypresencesmallasymptoticbehaviorcaused
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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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