一维掺杂光子晶体缺陷模的共振理论

Resonance Theory of the Defect Mode of 1-D Doping Photonic Crystal

为了得到一维掺杂光子晶体的共振理论,建立了一维掺杂光子晶体的谐振腔模型,利用谐振腔的共振条件推导出缺陷模频率满足的解析公式,从理论上解释了产生一维掺杂光子晶体缺陷模的物理机理.利用频率的解析公式对缺陷模的频率随入射角、杂质光学厚度以及杂质折射率的变化规律进行了研究,解释了一维掺杂光子晶体缺陷模的变化规律.与特征矩阵法的计算结果相比,其结果完全吻合,从而证明了共振理论的正确性,弥补了一维光子晶体研究中数值计算方法的不足.

In order to obtain resonance theory of 1D doping photonic crystal,a resonant cavity model is set up and the analytical formulas of the defect mode frequency of 1D doping photonic crystal is deduced by resonance conditions of the resonant cavity.The physical mechanism of the defect mode of 1D doping photonic crystal is explained.The use of analytical formulas for the variation,which defect mode frequency with the incident angle and thickness of impurities and refractive index of impurities changes,is studied.Resonance theory results and characteristic matrix method results are compared and their results are the same,and the resonance theory is the right way.The resonance theory to analyze variable relationship is convenient,which makes up the deficiency of the numerical calculation method of 1D photonic crystal.