一维光子晶体掺杂缺陷模研究

用特征矩阵法计算了光波在包含多种掺杂缺陷的一维光子晶体中的传播规律，与不包含缺陷的结构相比较，在禁带中形成缺陷模。缺陷模的位置、数目和强度不仅和缺陷的产生方式有关，还和缺陷位置处的光学厚度及折射率的变化有关。当掺杂缺陷的位置呈等间距时，相应缺陷模也呈等间距排列。随着掺杂缺陷光学厚度的变化，缺陷模的位置、数目也随之变化。保持掺杂缺陷光学厚度不变，掺杂缺陷折射率的变化将会引起缺陷模强度的变化，并存在一个最大值。缺陷模的出现一般使带隙加宽，尤其是掺杂介质的折射率与周期介质的折射率差别较大时更加明显。掺杂空气介质时可使缺陷模的透射率近似为1。

Study on One-Dimensional Photonic Crystal with Impurity Defects

The light wave propagation in one-dimensional photonic crystal with multiple defects is studied by eigen matrix method. There are defect modes in the bandgaps. The defect modes are greatly related with the generating form, optical thickness and refractive index of defect. With the optical thickness of impurity changing, the position and number of defect modes change. Keeping the optical thickness of impurity constant, the changing of refractive index of defect leads to the changing of intensity of defect mode, and there is a maximum among them. If the position of impurity arrange in equal distance, then the defect modes arrange in equal distance, too. The creation of defect modes can broaden the bandgaps, especially when refractive index of defect is much different from that of periodical medium. The defect of air can make transmission rate up to one.