Late Time Stability and Accuracy of Ferrite FDTD Algorithms

A number of methods have been developed in 1990s that allow for extending the Finite Difference Time Domain algorithm to analyze structures involving magnetized ferrites. The accuracy of those algorithms as well as stability have been evaluated numerically at that time. However, the computations involved typically a relatively small number of time steps (not more than twenty thousand). This paper examines late time behavior of a number of published and new ferrite FDTD algorithms and compares their accuracy in problems requiring large number of time steps. The algorithms have been implemented on acceleware hardware accelerators.