一维光子晶体的缺陷模特性研究

Studies on the Defect Mode Properties of 1D Photonic Crystal

利用传输矩阵法研究了缺陷层有吸收的一维光子晶体的带隙结构,在中心波长附近利用泰勒展开式的一级近似得到了缺陷模的高度和半峰全宽的计算公式.研究发现,消光系数、介质周期数和缺陷层厚度对缺陷模高度的影响较大,它们的增大均使缺陷模高度快速下降;而对半峰全宽的影响主要取决于介质的周期数,随周期数的增大缺陷模快速变窄.

The photonic band gap structure of 1D photonic crystal with an absorptive defect layer was studied by using the transfer matrix method, and presented formulas for the defect mode height and its full width at half maximum （FWHM） under the first-order Taylor＇s approximation in the vicinity of central wavelength. Investigations shown that the extinction coefficient, the number of periods and the width of the defect layer had significant effects on the properties of the defect mode. When these parameters increased,the defect mode height decreased quickly. However, the FWHM of the defect mode relied mainly on the number of periods, it decreased quickly with increasing the number of periods, but it changed slightly with the extinction coefficient and the defect layer width.