FDTD formulation for dispersive chiral media using the Newmark algorithm

An explicit iteration finite-difference time-domain (FDTD) formulation, based on the Newmark algorithm, for dispersive chiral media is developed and presented. The auxiliary differential equations in terms of four intermediate variables, which are defined according to the media parameters of dispersive chiral media, are established. Then the classical Newmark algorithm is introduced in discretizing the auxiliary differential equations. Finally, combining with the constitutive relation and Maxwell's curl equations, the Newmark-FDTD formulation for dispersive chiral media is developed. The reflection and transmission coefficients including co-polarization and cross-polarization of a dispersive chiral slab and the bistatic radar cross-section of the dispersive chiral sphere are simulated, with the validity and feasibility performed by comparing the results with those based on the exact solutions.