Structure Dependence of Mode Edges in Photonic Crystal Waveguide with Silicon on Insulator

The mode edges of photonic crystal waveguide with triangular lattice based on a silicon-on-insulator slab are investigated by combination of the effective index method and the two-dimensional plane wave expansion method. The variations of waveguide-mode edges with the structure parameters of photonic crystal are deduced. When the ratio of the radius of air holes to the lattice constant, r/Λ, is fixed and the lattice constant of photonic crystal, Λ, increases, the waveguide-mode edges shift to longer wavelengths. When Λ is fixed and r/Λ increases, the waveguide-mode edges shift to shorter wavelengths. Additionally, when r/Λ and Λ are both fixed, the radius of the two-row air holes adjacent to the waveguide increases, the waveguide-mode edges shift to shorter wavelengths.