Analysis of 2D- and 3D-isotropic split ring resonators

Previously proposed 2D isotropic split ring resonators are analyzed. Furthermore, a new isotropic 3D particle is proposed and analyzed. To this end a quasi-static LC circuit model, that provides the frequency of resonance, is developed. Theoretical computations of resonant frequency are in good agreement with the values obtained with a commercial electromagnetic solver. Finally the complete isotropy of the proposed 3D particle is demonstrated by its symmetries and is confirmed by numerical simulations