Stability of the photonic band gap in the presence of disorder
Stability of the photonic band gap in the presence of disorder
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DOI：
10.1103/physrevb.73.033106
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发表时间：
2006-01-01
影响因子：
3.7
通讯作者：
Nikolaev, VV
中科院分区：
文献类型：
--
作者：
Kaliteevski, MA;Beggs, DM;Nikolaev, VV
对一类一维无序光子晶体带隙附近的光子本征模进行了统计研究。对于所考虑的系统，发现进入带隙的态密度的尾部具有一定的穿透深度，该穿透深度与无序参数成正比。发现了相对穿透深度、光子带隙相对宽度与无序度之间的定量关系，发现存在一定的无序度，在该无序度以下，光子带隙中心出现光子本征态的概率基本为零。在阈值以下，在光子带隙的中心处的整体平均透射率不随无序度的增加而显著改变，但在阈值以上，其增加得更快。一个简单的经验公式已经获得，它描述了如何与周期性的折射率调制和无序的传输的对数。
The photonic eigenmodes near a band gap of a type of one-dimensional disordered photonic crystal have been investigated statistically. For the system considered, it is found that the tail of the density of states entering the band gap is characterized by a certain penetration depth, which is proportional to the disorder parameter. A quantitative relation between the relative penetration depth, the relative width of the photonic band gap, and the disorder has been found. It is apparent that there is a certain level of disorder below which the probability of the appearance of photonic eigenstates at the center of the photonic band gap essentially vanishes. Below the threshold, the ensemble-averaged transmission at the center of the photonic band gap does not change significantly with increasing disorder, but above threshold it increases much more rapidly. A simple empirical formula has been obtained which describes how the logarithm of the transmission relates to the periodic refractive index modulation and the disorder.