Coupling of elementary resonances in 3D metamaterials

Simulation analysis of electromagnetic response of infinite 2D arrays of dielectric ceramic resonators and of parallel 2D arrays comprising 3D metamaterial blocks is presented. Modeling of the arrays has been performed by applying periodic boundary conditions to various unit cells. It was revealed that coupling between elementary magnetic resonances in infinite 2D arrays can affect both the resonance frequency and the resonance Q-factor. Defects in array periodicity were found to cause partial splitting of the resonance modes. It was shown that coupling between parallel 2D arrays stacked in the direction of wave propagation produced a drastic splitting of the resonance modes and led to the formation of the resonance band. The observed effects demonstrate that the uniform medium concept can be not applicable to the description of 3D metamaterial structures.