Numerical Study on Two-dimensional Magnetic Photonic Crystals Made of Magnetized Ferrites

Abstract

Transmission characteristics of two-dimensional magnetic photonic crystals with square and hexagonal lattice have been studied by full wave electromagnetic simulation. The magnetic photonic crystals are composed of array of fully magnetized ferrite rods. Using FDTD methods, the transmission characteristics of the magnetic photonic crystals are simulated with difierent models of permeability. We flnd that simulation results using tensor permeability of ferrites difier from those of simulation with a scalar efiective permeability of TMz mode, which demonstrates that for magnetic photonic crystals anisotropy of ferrites cannot be simply modeled by an equivalent isotropic magnetic medium. During the last few years, photonic crystals (PCs) (1,2) or photonic band-gap (PBG) materials have been the subject of intensive theoretical and experimental research, due to their promising applications in microwave and optoelectronics (3{7). Generally, PCs are artiflcially constructed from dielectric or metallic materials (7). Recently, some papers are devoted to the investigation of magnetic photonic crystals (MPCs) (8{10). In all these works, the anisotropy of permeability for the magnetic materials in MPCs is modeled by an efiective permeability of TMz mode. Fully magnetized under the external static magnetic fleld ( ~