High-Q Quasistatic Resonances Excited in a Metamaterial Sphere by a Meridional Dipole

Abstract

We consider the rigorous problem of excitation of a metamaterial sphere by a meridionally directed electric dipole. High Q-resonances in the low-frequency region are found and studied. The existence conditions of these resonances are established. Frequency-amplitude characteristics of the sphere and the vector scattering patterns at resonant frequencies are calculated. Approximate analytical expressions for resonant frequencies are obtained. The effect of nonresonance field enhancement, which consists in that the scattered field exceeds the primary field in a wide frequency range, is found.