Non-local effective medium of metamaterial

Abstract

In this paper, we investigate the effect of spatial dispersion on a double-lattice metamaterial which has both magnetic and electric response. A numerical scheme based on a dipolar model is developed to extract the non-local effective medium of the metamaterial. We found a structure-induced bianisotropy near the resonance gap even if the artificial particles are free from cross-coupling. A cross-coupled resonance also results from spatial dispersion and it can be understood using a Lorentz frequency dispersion model. The strength of the cross-coupled resonance depends on the microstructure and it is larger at a higher normalized frequency.