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