ADE-Laguerre-FDTD Method for Wave Propagation in General Dispersive Materials

This letter proposes an auxiliary differential equation (ADE) finite-difference time-domain (FDTD) method with weighted Laguerre polynomials (WLPs) to simulate electromagnetic wave propagation in general dispersive materials. The proposed method introduces an ADE technique which establishes the relationship between the electric displacement vector and electric field intensity with a differential equation rather than a convolution integral. Two numerical examples with plane wave propagation in a variety of dispersive media are calculated. Compared with the ADE-FDTD method, the results from our proposed method show its accuracy and efficiency for dispersive media simulation.