A Generalized Time-Stepping Algorithm for Electromagnetic Wave Propagation in Ferrite Media

A time integration scheme is described for simulations of electromagnetic waves within a fully saturated ferrite medium. By considering Maxwell´s equations in conjunction with the torque equation of motion for electron precession, we show that a stable second-order scheme can be achieved using both central differences and averages. The scheme is validated using a stripline phase shifter as a test case. Not only does the simulation agree quite well with results produced by a popular frequency-domain, finite element solver, the data also exhibits a very desirable, low-loss, phase shift effect.