FDTD Modeling of chiral media by using the Mobius transformation technique

This letter introduces a new technique for finite-difference time-domain (FDTD) modeling of electromagnetic wave propagation in frequency-dispersive chiral media. First, Maxwell's curl equations are discretized according to Yee's scheme. Then the constitutive relations, expressed in the Laplace domain, are discretized using the Mobius transformation technique and appropriate digital-processing methodologies. The resulting formulation is explicit and preserves the second-order accuracy of the conventional FDTD technique. To show the validity of the method, the reflection and transmission coefficients of a chiral slab are computed and compared to the exact results, with good agreement being obtained.