FDTD formulation for dispersive chiral media analysis using Z-transform

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