Network modeling of multi-layer magnet-less non-reciprocal gyrotropic metamaterials

A network model for a magnet-less non-reciprocal (NR) gyrotropic metamaterial (MTM) consiting of a 2D (monolayer) and 3D (multilayer) array of a broadside-parallel ring-pair particles loaded with a unidirection semiconductor-based component is developed. The model is based on the impedances of the odd and the even modes of a single layer, which are found through full-wave simulations of the half of the structure on top of perfect electric and magnetic conductor planes, respectively. The model is applied to the analysis of structures with an arbitrary number of layers, which exhibit essentially the same behavior as bulk ferrites (but without magnet). Multi-layer structures can provide enhanced performance in terms of the amount and bandwidth of Faraday rotation compared to their single-layer counterpart.