一维多缺陷光子晶体的缺陷模

设计了一个多缺陷的一维光子晶体，并利用传输理论研究其透射谱.利用泰勒展式的一级近似，得到了缺陷模频率的解析表达式，进而得到紧束缚理论中的耦合因子.这些结论与实验结果或数值模拟相符合，可以很好地描述缺陷模的有关规律，对多通道滤波器的设计具有指导意义. 关键词： 光子晶体 缺陷模 紧束缚方法 耦合因子

The defect modes in one-dimensional photonic crystal with multiple defects

A one-dimensional photonic crystal containing multilayered half-wave defects is designed and the transmission spectrum is studied by using transfer matrix theory. Under the first-order approximation of Taylor expansion, the analytic expression for the defect mode frequency is derived, from which the coupling factor is deduced. Our results are fitted with the experimental results or numerical simulation, and can be used to describe the characteristics of the defect modes. The result is helpful for designing a multiple channel filter.