FDTD formulation for dispersive chiral media using the Z transform method

Abstract

A finite-difference time-domain (FDTD) scattered-field formulation for dispersive chiral media is developed and presented in this paper. The FDTD formulation is based on the Z transform method and models the frequency-dependent dispersive nature of permittivity, permeability, and chirality as well. The permittivity and permeability are assumed to follow the Lorentz model while the chirality is assumed to follow the Condon model. The formulation is developed for three-dimensional electromagnetic applications. Results of this formulation are presented for the copolarization and cross-polarization of the reflected and transmitted waves from a chiral slab due to normal incidence of a plane wave and for the scattered field from a chiral sphere, a chiral cube, and a finite chiral cylinder. Validation is performed by comparing the results with those based on the exact solutions and those obtained from method of moments solutions.