Formation of optimal-order necklace modes in one-dimensional random photonic superlattices
Formation of optimal-order necklace modes in one-dimensional random photonic superlattices
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DOI：
10.1103/physreva.76.013822
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发表时间：
2007-01
影响因子：
2.9
通讯作者：
M. Ghulinyan
中科院分区：
文献类型：
--
作者：
M. Ghulinyan
本文研究了具有共振层的一维随机体系中共振耦合光学模式——光项链的形貌。已经指出，它们在厚样品中出现的概率越来越低，应该减少理论预测的耦合共振数量，从而导致最优阶项链（OONs）的形成。在这里，我们通过传输相位研究来检验最优阶${m}^{*}$（项链中的共振数）如何随着样本量的增加而逐渐向更高阶偏移。我们提出了一个具有共振层的随机样本中OON形成的模型，并推导了一个预测${m}^{*}$的经验公式。我们讨论了在一个样本长度$L$中，能量退化的共振数超过最优共振数的情况，并展示了额外的共振如何被推到项链的小带边缘，使后者的阶数总是降低两倍。
We study the appearance of resonantly coupled optical modes, optical necklaces, in Anderson-localized one-dimensional random systems with resonant layers. It has been stated that the increasingly low probability of their appearance in thick samples should reduce the theoretically predicted number of coupled resonances, leading to the formation of optimal-order necklaces (OONs). Here we examine through transmission phase studies how the optimal order ${m}^{*}$, the number of resonances in a necklace, shifts gradually toward higher orders with increasing sample size. We present a model for OON formation in random samples with resonant layers and derive an empirical formula that predicts ${m}^{*}$. We discuss the situation when in a sample length $L$ the number of resonances degenerate in energy exceeds the optimal one, and show how the extra resonances are pushed out to the miniband edges of the necklace, reducing the order of the latter always by multiples of two.