Optimized Complete Photonic Band Gap in Magneto-Photonic Crystal Slab

The Photonic Band Gap (PBG) in Magneto-Photonic Crystal (MPhC) Slab based on Bi:YIG garnet and SiO 2 substrate have been optimized and calculated using the three dimensional plane-wave expansion method. A complete PBG in MPhC formed by a triangular lattice of air holes with a period (a) optimized theoretically is obtained and the dependence of the slab-thickness (T) and the radius of air-holes (r) on this PBG are numerically investigated. The largest complete PBG, 0.1655 µm, found in the telecommunication wavelength λ t = 1.55 µm for the optimum values of r = 0.4a and T = a, is used for the MPhC waveguide where a substantial decreasing of the propagation losses is observed.