Modeling nonlinear effects in 2D optical metamagnetics

We use a previously developed approach to study stationary TM-type waves propagating in two-dimensional nonlinear optical metamagnetics, pertinent to a separate class of metamaterials with a significant magnetic response at optical frequencies. Since an implicit equation for the nonlinear dielectric functions should be resolved, the TM-type waves within the standard E-field formulations of nonlinear optics cannot be treated using a purely scalar H-field context. We use the optically controlled isotropic Kerr-type nonlinearity to illustrate the proposed approach, while analyzing the performance of an optically tunable metamagnetic. The simulation results prove the expected tuning of the magnetic resonance within a 100-nm band around the center wavelength of 1.55 μm.