Fig. 1. Structural diagrams of photonic crystals and dispersion curves of different materials. (a) Schematic diagrams of primitive cells of two kinds of photonic crystals; (b) Schematic diagram of two-dimensional honeycomb structure photonic crystal; dispersion curves of (c) Al₇₀Ga₃₀As and (d) Si in the wavelength range from 0.2 μm to 2 μm

Fig. 2. Energy-band structures and eigenfield distributions. (a) Energy-band structure of photonic crystal when the materials of two dielectric cylinders are Al₇₀Ga₃₀As in primitive cell; (b) (c) energy-band structures of PhC1 and PhC2, the shaded parts represent forbidden bands; eigenfield distributions at k₁ and k₂ in (d) PhC1 and (e) PhC2

Fig. 3. Structural diagram of unidirectional wave guide and projected energy-band structrues. (a) Structural diagram of unidirectional wave guide, the area in the dotted box represents structural diagram of super-primitive cell used for band calculation; (b) the projected energy-band structrues of two photonic crystals when l=0;(c) E_zeigenfield distribution of the interface state; (d) the projected energy-band structrues of two photonic crystals when l=0.1a

Fig. 4. Field distributions and Poynting vector distributions in photonic crystal waveguide structures at different intervals. (a)(b) l=0; (c)(d) l=0.1a

Fig. 5. (a) Structural diagram and (b) field distribution of Z-shaped photonic crystal waveguide structure

Fig. 6. Structural diagrams and field distributions in photonic crystal waveguide structures at different cases. (a)(b) Removing a dielectric cylinder at the boundary randomly; (c)(d) moving the positions of multiple dielectric cylinders at the boundary randomly