A simple dispersive chiral FDTD formulation implemented on a Yee grid

A new simple dispersive chiral FDTD formulation based on the traditional Yee grid is introduced. This methodology uses an explicit form of the dispersive chiral constitutive equations in conjunction with the Z-transform technique to incorporate dispersion. The main advantage of this technique is its simplicity and straightforward incorporation with traditional FDTD methods. This method was also extended to an implicit method introduced by A. Grande et al. (see IEEE Trans. on Microwave Theory and Tech., vol.52, no.2, p.773-84, 2004) that used two transverse FDTD grids to align the E-fields and H-fields. These methodologies were used to simulate the scattering from a chiral slab and both compared favorably with analytic results. The advantage of the explicit method is that, in a full 3D formulation, it only requires a single traditional Yee grid.