Band structures analysis of one-dimensional photonic crystals using plane wave expansion

A theoretical analysis is made, using plane wave expansion, on how the width of the first three band gaps is influenced by filling ratio, dielectric constant ratio, and periodic width in one-dimensional photonic crystals (PhCs). From simulation and analysis, there are one, two, and three peak points on the first, second and third band gaps respectively with the changes of filling ratio under fixed dielectric constant ratio. When filling ratio is fixed, the bandwidth of the first band gap consistently increases with dielectric constant ratio. However, no similar trend is observed in the second and the third band gaps. Because of scaling properties, varying periodic width does not alter the relative bandwidth.