A new uniaxial perfectly matched layer absorbing boundary condition for chiral metamaterials

Abstract

This paper presents a new implementation of the uniaxial perfectly matched layer absorbing boundary condition (UPML-ABC) to terminate the finite difference time domain formulation for electromagnetic wave interaction with a chiral medium. Magnetoelectric coupling in the medium is modeled via the bi-isotropic finite difference time domain (BI-FDTD) approach. The proposed perfectly matched layer uses the same wavefield decomposition approach as the BI-FDTD technique and implements the dispersion relations through finite difference equations. The new UPML formulation is illustrated with an example in which the permittivity and permeability are both represented as Lorentzian functions of frequency, and the magnetoelectric coupling, or chirality, follows the Condon model. The proposed dispersive ABC can be used to represent double-negative materials (/spl epsiv/<0 and μ<0) with magnetoelectric coupling.