Coupled quasi-static oscillations in two cylinders made of a metamaterial

Abstract

A two dimensional problem of excitation, by a linear source, of a structure consisting of two iden tical solid or hollow cylinders made of a metamaterial under the condition that the geometric and material parameters of the cylinders provide for the existence of high Q quasi static resonances in each of the cylin ders is considered. The effect of the distance between the cylinders on the spatial structure of the resonant fields is studied. It is shown that the frequency response of the structure has the shape characteristic of the response of coupled resonators. The behavior of the fields in the vicinity of the critical coupling, which qual itatively changes the frequency characteristics of the composite resonator, is numerically investigated.