Analysis of magnetic photonic crystals using complex envelope ADI-FDTD method

We develop the complex envelop alternating-direction-implicit finite-difference time-domain (CE-ADI-FDTD) suitable for analysis of magnetic photonic crystals (MPhCs) which require highly refined grids. MPhCs are periodic structure with unit cell composed of two misaligned anisotropic dielectric layers and one ferromagnetic layer. Numerical results show that the proposed CE-ADI-FDTD results agree very well with conventional FDTD results at various Courant number values.