Development of an LOD-FDTD method for the analysis of the Cole-Cole model

The frequency-dependent finite-difference time-domain (FDTD) method has widely been used to treat dispersive materials, e.g., metal at optical frequencies, semiconductors at THz frequencies, water at microwave frequencies, and so on. Unfortunately, the time step size is restricted by the Courant-Friedrichs-Lewy (CFL) condition even for the frequency-dependent FDTD method. To remove this restriction, we have developed the frequency-dependent FDTD method based on the implicit locally one-dimensional (LOD) scheme, in which the electromagnetic problems including the Debye, Drude and Lorentz models are efficiently analyzed [1, 2].