随机 Fibonacci 多层中的 Lyapunov 指数统计

IF 2 4区物理与天体物理 Q3 OPTICS Journal of Optics Pub Date : 2024-08-07 DOI:10.1088/2040-8986/ad699d

Pasquale Falcone and Luigi Moretti

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引用次数: 0

摘要

我们对一维随机斐波那契光学多层中带隙和带边模式的局域化特性进行了数值研究。李雅普诺夫指数（LE）的统计结果表明，带边和带隙模式的局域化效应与无序强度的函数关系截然不同。特别是，在与有序斐波那契多层板带隙相对应的频率窗口内，观察到局部化偏离了单参数缩放理论（SPST）。不同的带隙显示出不同的 SPST 动态。为了对 SPST 的违反提供物理解释，我们发现带隙中共振模的频率分布与 LE 的方差之间存在密切的相关性。报告和讨论了共振模式的空间分布。最后，还分析了两个主要带隙的间隙关闭动态与无序强度的函数关系。

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Statistics of Lyapunov exponent in random Fibonacci multilayer

We numerically investigated the localization properties of band-gap and band-edge modes in a one-dimensional random Fibonacci optical multilayer. The statistics of the Lyapunov exponent (LE) reveal distinct behaviors of localization effects for band-edge and band-gap modes as function of disorder strength. In particular, a deviation from the single parameter scaling theory (SPST) of localization was observed within a frequency window corresponding to the band-gap of an ordered Fibonacci multilayer. Different band-gaps show different SPST dynamics. To provide a physical explanation for the violation of SPST, a close correlation between the frequency distribution of the resonant modes in the band-gap and the variance of the LE has been found. The spatial distribution of resonant modes has been reported and discussed. Finally, the dynamics of the gap closing of the two main band-gaps as function of the disorder strength has been analyzed.

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来源期刊

Journal of Optics OPTICS-

CiteScore

4.50

自引率

4.80%

发文量

237

审稿时长

1.9 months

期刊介绍： Journal of Optics publishes new experimental and theoretical research across all areas of pure and applied optics, both modern and classical. Research areas are categorised as: Nanophotonics and plasmonics Metamaterials and structured photonic materials Quantum photonics Biophotonics Light-matter interactions Nonlinear and ultrafast optics Propagation, diffraction and scattering Optical communication Integrated optics Photovoltaics and energy harvesting We discourage incremental advances, purely numerical simulations without any validation, or research without a strong optics advance, e.g. computer algorithms applied to optical and imaging processes, equipment designs or material fabrication.