Z-transform-based complex envelope alternating direction implicit perfectly matched layer algorithm for modelling Drude dispersive source-free wave equation finite-difference time domain applications

Abstract

In this study, Z-transform-based complex envelope alternating direction implicit wave equation perfectly matched layer (CE-ADI-WEPML) formulation is presented for modelling Drude dispersive finite-difference time domain (FDTD) applications with band-limited sources. In the proposed formulation, the constitutive relation of the dispersive medium is implemented in the FDTD algorithm by means of the bilinear Z-transform method. Numerical examples carried out in two-dimensional domains show that the proposed formulation is more accurate than the classical ADI-WEPML and also maintains the accuracy of the CE full-wave Maxwell's equations with significant reduction in the CPU time and memory storage requirements.