Homogenization of ferromagnetic nano-wires based metamaterials and their applications as RF components

A numerical homogenization method for extracting the equivalent electromagnetic parameters, specifically the dispersive and nonreciprocal permeability tensor, of ferromagnetic nanowire (FMNW) based metamaterials is presented herein this paper. The homogenization process takes a two-level approach. First, in the microscopic level, the susceptibility of the nanowires is calculated with the acceleration of two-dimensional fast Fourier transform (2D-FFT). Next, the macroscopic permeability tensor of the whole structure, which usually consists of millions of nanowires, is derived by solving for the Landau-Lifshitz-Gilbert (LLG) equation. With the effective material property obtained, the performance of FMNW microwave devices, such as integrated, double-band and self-biased isolators and phase shifters, will be analyzed using a full-wave simulation based on domain decomposition method (DDM), which validates the homogenization method as well as demonstrates the capabilities of the novel multiscale artificial metamaterials with RF component applications.