Electromagnetic interaction in stacked split ring resonator arrays

Abstract

We theoretically demonstrate the coupling between the unit cells and the interactionbetween constituents within each cell in metamaterials consisting of stacked split ringresonator arrays which are embedded in a homogeneous dielectric. It is found that theresonant frequency due to plasmon hybridization depends on the symmetry of resonancemodes. Both for the first and third order plasmon resonances, we show that the resonancesat lower frequency are not sensitive to the variation of lattice density, while the resonancesat higher frequency rely on the coupling between cells due to the symmetric distribution ofcurrent. The underlying physics is qualitatively interpreted according to the quasistaticelectric and magnetic dipole coupling model combined by the calculated field distributions.