Periodic oscillations in transmission decay of anderson localized one-dimensional dielectric systems.
Periodic oscillations in transmission decay of anderson localized one-dimensional dielectric systems.
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DOI：
10.1103/physrevlett.99.063905
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发表时间：
2007-08
影响因子：
8.6
通讯作者：
M. Ghulinyan
中科院分区：
文献类型：
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作者：
M. Ghulinyan
众所周知，安德森局域系统的透射率平均随样本大小呈指数衰减，表现出由极其罕见的共振耦合态项链的出现所带来的大的波动，具有几乎统一的透射率。我们在这里表明，在一个一维（1D）的随机光子系统的共振层，这些波动似乎是非常有规律的，并有一个由系统的本地化长度xi定义的周期。我们强调，项链状态是这些定义良好的振荡的起源。我们预测，在这样一个随机系统中，有效的传输通道定期形成每次增加的样本长度适合所谓的最优阶项链，并通过数值实验证明了这一现象。我们的结果提供了新的见解安德森本地化的随机系统的共振单元的物理。
It is well recognized that the transmittance of Anderson localized systems decays exponentially on average with sample size, showing large fluctuations brought up by extremely rare occurrences of necklaces of resonantly coupled states, possessing almost unity transmission. We show here that in a one-dimensional (1D) random photonic system with resonant layers these fluctuations appear to be very regular and have a period defined by the localization length xi of the system. We stress that necklace states are the origin of these well-defined oscillations. We predict that in such a random system efficient transmission channels form regularly each time the increasing sample length fits so-called optimal-order necklaces and demonstrate the phenomenon through numerical experiments. Our results provide new insight into the physics of Anderson localization in random systems with resonant units.