Effects of doping on band-gap transmission characteristics of one-dimensional photonic crystal

Based on transfer matrix method,the effects of doping on one-dimensional photonic crystal are researched numerically.It is shown that in doped photonic crystal,there is a conduction band in the center of band gap,and the depth of conduction band varies gradually with the doping position and refractive index.When the crystal structure is given,there is always a doping position which makes the conduction band depth maximal in the center of band gap.When the doping position is given,there is always a specific value of impurity refractive index which makes the conduction band depth maximal in the center of band gap.These characteristics of one-dimensional photonic crystals are applied for the design of filters and optical resonators.