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An exact expression is derived for the time-averaged electromagnetic energywithin a magneto-dielectric coated sphere, which is irradiated by a plane andtime-harmonic electromagnetic wave. Both the spherical shell and core areconsidered to be dispersive and lossy, with a realistic dispersion relation ofan isotropic split-ring resonator metamaterial. We obtain analyticalexpressions for the stored electromagnetic energies inside the core and theshell separately and calculate their contribution to the total average energydensity. The stored electromagnetic energy is calculated for two situationsinvolving a metamaterial coated sphere: the dielectric shell and dispersivemetamaterial core, and vice-versa. An explicit relation between the storedenergy and the optical absorption efficiency is also obtained. We show that thestored electromagnetic energy is an observable sensitive to field interferencesresponsible for the Fano effect. This result, together with the fact that theFano effect is more likely to occur in metamaterials with negative refraction,suggest that our findings may be explored in applications.

Electromagnetic energy within coated spheres containing dispersive metamaterials