Z-transform implementation of the perfectly matched layer for truncating FDTD domains

Abstract

A simple algorithm for implementing, the perfectly matched layer (PML) is presented for truncating finite difference time domain (FDTD) computational domains. The algorithm is based on incorporating the Z-transform method into the PML FDTD implementation. The main advantage of the algorithm is its simplicity as it allows' direct FDTD implemetation of Maxwell's equations in the PML region. In addition,the formulations are independent of the material properties; of the FDTD computitional domain. Numerical examples are included to demonstrate the effectiveness of these formulations.