An efficient ADE-WLP-FDTD method with new WLPs and factorized splitting scheme for dispersive simulation

Abstract

Based on an auxiliary differential equation (ADE) and new weighted Laguerre polynomials (WLPs), an efficient 3-D finite-difference time-domain method (FDTD) with factorized-splitting (FS) scheme is proposed to calculate wave propagation in general dispersive materials. The ADE technique is introduced to model general dispersive materials. Using a new temporal basis, the new WLPs can improve computational efficiency and save computing resources. The FS scheme is used to efficiently solve the huge sparse matrix equation. A numerical example is given to verify the accuracy and the efficiency of the proposed method. The results show its superiority compared with existing methods.