Numerical study of impurity-doping effects in two-dimensional photonic crystals

Influence of doping on transmission properties of two-dimensional photonic crystals is analyzed numerically in the paper. The crystals’ transmission spectra are obtained by numerical calculation with plane wave expansion method. The results show that the width and position of photonic band gaps as well as transmittivities relate to the dielectric constants and the difference between radii of dielectric cylinders. In addition, the width of photonic band gap can be adjusted by changing air cylinder geometry.