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Scaling analysis of Anderson localizing optical fibers

机译：安德森光纤的定标分析

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Anderson localizing optical fibers (ALOF) enable a novel optical waveguiding mechanism; if a narrow beam is scanned across the input facet of the disordered fiber, the output beam follows the transverse position of the incoming wave. Strong transverse disorder induces several localized modes uniformly spread across the transverse structure of the fiber. Each localized mode acts like a transmission channel which carries a narrow input beam along the fiber without transverse expansion. Here, we investigate scaling of transverse size of the localized modes of ALOF with respect to transverse dimensions of the fiber. Probability density function (PDF) of the mode-area is applied and it is shown that PDF converges to a terminal shape at transverse dimensions considerably smaller than the previous experimental implementations. Our analysis turns the formidable numerical task of ALOF simulations into a much simpler problem, because the convergence of mode-area PDF to a terminal shape indicates that a much smaller disordered fiber, compared to previous numerical and experimental implementations, provides all the statistical information required for the precise analysis of the fiber.
机译：安德森本地化光纤（ALOF）实现了一种新颖的光波导机制。如果在无序光纤的输入面上扫描窄光束，则输出光束将遵循入射波的横向位置。强烈的横向紊乱会导致几种局部模式均匀分布在纤维的横向结构上。每个局部模式的作用就像一个传输通道，它沿着光纤传输窄的输入光束，而没有横向扩展。在这里，我们研究ALOF局部模式的横向尺寸相对于纤维横向尺寸的缩放比例。应用模式区域的概率密度函数（PDF），结果表明PDF在横向尺寸上收敛到最终形状，该尺寸大大小于以前的实验实现。我们的分析将ALOF模拟的艰巨数值任务变成了一个简单得多的问题，因为将模态区域PDF融合为终端形状表明，与以前的数值和实验实现相比，无序光纤要小得多，可以提供所需的所有统计信息。用于光纤的精确分析。

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