基于紧束缚理论,分析了一维多镜像光子晶体中多缺陷模的产生及缺陷模式分裂的机理,建立了缺陷模频率与缺陷层相对位置的关系模型.采用传输矩阵理论研究了双镜像光子晶体的光学传输特性,并讨论了光子晶体周期层数、入射角度、介质层厚度等及介质的相对折射率差等参数对光子晶体缺陷模特性的影响.模拟结果表明,调整光子晶体参数和缺陷层的相对位置可有效调控光子晶体的缺陷模特性,可为光子晶体多通道滤波器等光学器件的设计和应用提供一定的理论参考.

Based on the tight-binding theory,the generation and split mechanism of one-dimensional multiple mirror photonic crystal defect modes were analyzed theoretically,and the relationship between defect mode frequencies and the relative location of defect layers was established. The transfer matrix method is used to analyze the optical transmission properties of the dual mirror photonic crystal,at the same time,the influences on defect mode properties by periodical layer number,incident angle,dielectric layer thickness and relative refractive index difference of photonic crystal are discussed.The simulation results show that adjusting parameters and defect layer relative locations of photonic crystal can control defect mode properties effectively,which can provide certain theoretical references for the design and application of photonic crystal multi-channel filters.