An Efficient ADE-WLP-FDTD Method with new WLPs and Factorized Splitting
scheme for Dispersive Media 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.
In order to model general dispersive materials, the ADE technique is
introduced because it can establish the relationship between the
electric displacement vector and the electric field intensity. 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 of WLP-FDTD method into a sub-steps
procedure. A numerical example is given to verify the accuracy and the
efficiency of the proposed method. Compared with existing methods, the
results from the proposed method show its superiority for dispersive
media simulation.