Propagation of electromagnetic (EM) wave through a meta-material having anisotropic permittivity and permeability tensors is simulated through Finite Difference Time Domain (FDTD) simulations using a technique of transformation optics. Details of the algorithm used in the simulation are given here. Using the simulation code developed, a two-dimensional dual-purpose polarization-sensitive meta-material is designed and demonstrated. Such a material can perform two independent tasks simultaneously for Transverse Electric (TE) and Transverse Magnetic (TM) polarization. All-dielectric design for TM polarization is also proposed and demonstrated to reduce the constrains on physical realization of such materials.

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Prerak Dhawan and B. S. Paradkar, "Transformation optics using finite-difference time-domain method," Proc. SPIE 10927, Photonic and Phononic Properties of Engineered Nanostructures IX, 109270E (Presented at SPIE OPTO: February 05, 2019; Published: 4 March 2019); https://doi.org/10.1117/12.2506607.