Resonant Property Analysis of Metamaterials filled with Nonlinear Magnetic Cores

In this article, we present a novel study on a metamaterial with nonlinear magnetic core filled resonators. We adopt an equivalent nonlinear circuit model, describing the magnetic core behavior in the Rayleigh region. We then derive the solution through perturbative analytical approaches. In particular, we show that the nonlinearity of the filling material generates secondary resonances at which the metamaterial amplifies the input field and exhibits a negative effective magnetic permeability. We validate the analytical results with numerical simulations performed via a circuit simulator. Finally, we report our discussion and conclusion.