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arXiv 1111.3193physics.optics
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存在非线性和无序的光学表面模

Optical surface modes in the presence of nonlinearity and disorder

M. I. Molina, N. Lazarides, G. P. Tsironis

摘要:

我们用数值方法研究了无序、非线性和边界竞争对有限尺寸一维波导阵列中光波的安德森局域化的影响。利用离散的安德森-非线性薛定谔方程,监测到一些有限距离的模式振幅的传播。该分析是基于计算的本地化长度和参与数,两个标准的统计描述的安德森局域化措施。对于相对较弱的无序和非线性,需要更高的无序强度,以实现相同程度的本地化在边缘比在阵列的内部,与最近的实验观察中的线性政权。然而,对于相对较强的无序和/或非线性,这种行为是相反的,现在更容易定位在边缘比内部的激发。

英文摘要:

We investigate numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveguide arrays. Using the discrete Anderson - nonlinear Schrödinger equation, the propagation of the mode amplitudes up to some finite distance is monitored. The analysis is based on the calculated localization length and the participation number, two standard measures for the statistical description of Anderson localization. For relatively weak disorder and nonlinearity, a higher disorder strength is required to achieve the same degree of localization at the edge than in the interior of the array, in agreement with recent experimental observations in the linear regime. However, for relatively strong disorder and/or nonlinearity, this behavior is reversed and it is now easier to localize an excitation at the edge than in the interior.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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