Nonlocal homogenization of an array of cubic particles made of resonant rings

Here, we develop a nonlocal homogenization model to characterize the electrodynamics of an array of cubic particles made of resonant rings. The effective parameters are calculated from the microscopic fields produced by a periodic external excitation. It is confirmed that the spatial dispersion effects cannot be neglected in the regime where μ ≈ 0. We demonstrate that when the array of resonant rings is combined with a triple wire medium formed by connected wires, the structure may behave approximately as an isotropic left-handed material.