FDTD Simulation for Wave Propagation in Anisotropic Dispersive Material Based on Bilinear Transform

The finite-different time-domain (FDTD) method is applied to solve wave propagation in anisotropic dispersive materials by means of bilinear transform (BT) technique. The frequency-dependent and anisotropic constitutive relation is translated into time-domain update equations with coupled x- and y-components of electric fields. The proposed algorithm has a simple formulation and is easy to apply to general dispersive anisotropic or isotropic material. The transmission and reflection coefficients of a 9-mm magnetized plasma slab are calculated and compared to analytical solutions for validation purpose. Very-good agreements are found in both amplitude and phase of these coefficients.