Some Numerical Aspects of an Extension of the FDTD Method to Incorporate Magnetized Ferrites

The original finite-difference time-domain (FDTD) method is extended to incorporate partially magnetized ferrites, which are characterized by a well-known empirical permeability tensor. With the aim of studying the numerical features (stability and accuracy) of the resulting FDTD algorithm, we have considered the propagation of plane-waves along longitudinally magnetized ferrite materials. A von Neumann stability analysis shows that the stability condition of the original FDTD method is preserved and that the algorithm does not exhibit numerical dissipation. The accuracy of the numerical results is not deteriorated with respect those obtained in the demagnetized case.