A General ADE-WLP-FDTD Method With a New Temporal Basis for Wave Propagation

Based on an auxiliary differential equation (ADE) and a new temporal basis function, we propose a 3-D ADE finite-difference time-domain method (FDTD) with weighted Laguerre polynomials (WLPs), 3-D ADE-WLP-FDTD for short, to calculate wave propagation in general dispersive materials. Our proposed method introduces a linear combination of three WLPs as a temporal basis to improve computational efficiency and reduce memory usage. The ADE technique, which can effectively model dispersive media, was used to establish the relationship between the electric displacement vector and electric field intensity. Two numerical examples were presented to validate the advantages of the proposed approach. The simulation results reveal that compared with the conventional ADE-WLP-FDTD method, the proposed method can speed up the computational process and reduce memory usage with comparable accuracy.