Versatile finite element solver for gyrotropic phase shift and control components

In a previous publication, a four transverse field formulation for a lossless Hermitical tensor material was introduced for an arbitrary directed bias field. Using the finite element method, the functional was implemented and then validated against various waveguide structures. In this paper the nonreciprocal properties of lossy, single/double, partial/full height vertical ferrite slab loaded waveguide are assessed in the microwave frequency band. The application of the solver is extended to investigate the nonreciprocal properties of a lossy double full height horizontal GaAs slab loaded waveguide in the millimeter wave frequency range. This solver and method has important implications for the study and design of future phase shift and control components used in sub-millimeter wave and terahertz systems.