An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices

TLDR

The study presents a uniaxial anisotropic PML absorbing material for truncating FDTD lattices. The authors develop this material using a Maxwellian formulation, distinguishing it from Berenger's technique. Numerical results demonstrate that the uniaxial PML is mathematically equivalent to Berenger's method, stable, equally effective, and more computationally efficient. Published in J.

Abstract

A perfectly matched layer (PML) absorbing material composed of a uniaxial anisotropic material is presented for the truncation of finite-difference time-domain (FDTD) lattices. It is shown that the uniaxial PML material formulation is mathematically equivalent to the perfectly matched layer method published by Berenger (see J. Computat. Phys., Oct. 1994). However, unlike Berenger's technique, the uniaxial PML absorbing medium presented in this paper is based on a Maxwellian formulation. Numerical examples demonstrate that the FDTD implementation of the uniaxial PML medium is stable, equal in effectiveness as compared to Berenger's PML medium, while being more computationally efficient.