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采用一维介电体系中处理光传播的方法—传输矩阵法,详细推导了含有缺陷层的异质镜像光子晶体(ABCCBA)PD(ABCCBA)Q中透射率的计算公式,并用Matlab编程模拟了异质三周期镜像光子晶体中无缺陷层和引入缺陷层D时,光子带隙的数目和带宽及缺陷模的数目和透射率随缺陷层位置、厚度、介质周期数的变化情况。模拟结果表明:对于此结构的光子晶体,当缺陷层位于中央位置、周期数N=8、10,厚度变化且为某些特定值时,其光子带隙数目、缺陷模数目及透射率有最佳值。这一研究为设计可调谐滤波器、多通道滤波器提供了重要的理论基础。
The calculation formula of the transmissivity in the heterogeneous mirror photonic crystal (ABCCBA) PD (ABCCBA) Q containing defect layer is deduced in detail by using the method of transfer matrix, which deals with the propagation of light in a one-dimensional dielectric system. The number and bandwidth of photonic bandgaps and the number of defect modes and their transmissivity with the defect position, thickness and dielectric period in the three-period mirror-free photonic crystal without defects and the introduction of the defect layer D were investigated. The simulation results show that for the photonic crystal with this structure, the number of photonic bandgaps, the number of defect modes and the transmittance of a photonic crystal with this structure are in the central position, the number of cycles N = 8 and 10, and the thickness varies and is a certain value best value. This research provides an important theoretical basis for designing tunable filters and multi-channel filters.