缺陷层厚度的随机扰动对一维光子晶体带隙的影响

Effect of the Defect Thickness of Random Fluctuation on the PBG of One-Dimensional Photonic Crystals

摘要: 本文利用特征矩阵法，分析了缺陷层厚度的随机扰动对一维光子晶体带隙的影响。结果表明，当随机度为0.03时，光子晶体的全向带隙和全向带隙率变化不大，同时缺陷处的透过率变化也不明显。当随机度达到0.3时，光子晶体的全向带隙和全向带隙率变化较小，但缺陷处的透过率只能达到原来的0.4。当随机度达到0.5时，光子晶体只有一个全向带隙，其缺陷处的透过率也降到0。本文的研究对一维光子晶体的设计和制备提供了有价值的参考。

Abstract: The effect of thickness of random fluctuation on the photonic band gap (PBG) of one-dimensional photonic crystals (PCs) is analyzed by the characteristic matrix method. The results show that the omnidirectional band gap and the gap ratio of the PCs change little according to the value of random degree equal to 0.03. Meanwhile, the transmission ratio also varies little in the defect layer. Both the omnidirectional band gap and the gap ratio of the PCs slightly vary when the random degree can reach to 0.3. However, the transmission ratio can only reach to 0.4 of the original one in the defect layer. There is only one omnidirectional band gap when the value of random degree reaches to 0.5. Meanwhile, the transmission ratio decreases to 0 in the defect layer. This study is valuable to the design and the preparation of the one-dimensional PCs.