Analysis of 3D unidirectional magnetic photonic crystals

In this paper, the authors demonstrate that the unidirectional behavior of the MPC is also present for realistic 3D structures through the use of the FDTD method. In order to do realistic modeling, we needed to derive a new FDTD formulation for anisotropic lossy materials that can accurately model material discontinuities and maintain long-term stability since the standard FDTD equation for anisotropic media (Schneider, 1993) is invalid at material interfaces. We first present the new FDTD formulation followed by the modeling of the unidirectional MPC. Then the numerical results are discussed.