Extended Finite-Difference Time-Domain Method for Dynamics in Ferrite Material

Abstract

We present a broad overview of Maxwell's equations and the standard finite difference time domain (FDTD) method. Furthermore, we develop and analyze a FDTD scheme for Maxwell's equations in ferrite material. We present basic results about Maxwell's equations, the FDTD method, and the governing equations for electromagnetic phenomenon in ferrite material. We insert the Landau-Lifshitz equation (which models the dynamics of the magnetization vector M in ferrite material) into the standard FDTD method. We place the M ield at cell centers and derive an explicit update for its field components. We show the scheme is stable for certain ferrite material parameters by using Von Neumann and eigenvalue stability analysis. Finally, we show our method, due to boundary conditions, loses the 2nd order convergence enjoyed by the standard FDTD method.