含负折射率材料的1维光子晶体掺杂缺陷模研究

Study on 1-D photonic crystal containing negative refraction material with impurity defects

为了研究含有负折射率材料的光子晶体掺杂缺陷模的光学传输特性,利用传输矩阵理论进行数值分析。采用插入和替代两种方式对排列整齐的光子晶体进行掺杂,产生了缺陷模式。结果表明,引入正折射率缺陷只能在布喇格带隙中产生缺陷模,引入负折射缺陷能够同时在全方位光子带隙和布喇格带隙中产生缺陷模。同时研究了掺杂方式、入射方向、缺陷厚度、缺陷位置、缺陷类型对缺陷模式的影响,并对含有两层缺陷的光子晶体进行研究,得到两缺陷层的距离与带隙产生的关系,即距离越近越容易产生缺陷模式,且缺陷模的深度越深。这对于制造新型的全方位滤波器是有指导作用的。

With the help of the transmission matrix, the optical transmission property of 1-D photonic crystal containing negative refraction material with impurity defects was studied. There are two methods, insertion and substitution, to introduce defects into the arranged photonic crystal, and defect modes should happen. The defect modes resulted from negative defect often appears in the omni-directional photonic band gap, while those resulted from positive defect usually appears in the Bragg gap. The effect of doped method, incident direction, the thickness, defect location and defect type on the defect modes was studied. After analyzing two-defect-layer photonic crystal, the relation between the distance of both the layers and the band gap was found, i. e. , the nearer the defect layers, the easier and deeper the defect modes generated. The conclusions are useful for making the new type omni-directional filters.