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曲折调制的波导阵列中的Floquet格子单元与零平均调制:指数定位和线性稳定性

Magnus Johansson¹, Goran Gligorić², Aleksandra Maluckov²

¹Department of Physics, Chemistry and Biology (IFM), Linköping University, SE-581 83 Linköping, Sweden.

Chaos (Woodbury, N.Y.)

|December 2, 2025

概括

这项研究探讨了波导阵列中的非线性局部波,这些波导阵列具有齐格扎格调制. 研究人员确定了稳定的Floquet网格单子,揭示了新的光学现象的潜力.

科学领域:

非线性光学是一种非线性光学.
凝聚物质物理学凝聚物质物理学
这些光子网格是光子网格.

背景情况:

有周期调制的波导阵列表现出复杂的现象.
苏-施里弗-希格尔 (SSH) 模型描述了拓绝缘体,并且在光子系统中具有类似性.
克尔的非线性引入了对单离子形成至关重要的非线性效应.

研究的目的:

在波导阵列中研究非线性局部化解决方案的存在和稳定性.
分析Floquet带间隙对这些解决方案的局部化的影响.
在特定条件下探索非线性网格单子的稳定性.

主要方法:

利用波导阵列的紧密结合模型.
分析线性化的Su-Schrieffer-Heeger (SSH) 类系统的Floquet光谱.
使用数值连续来找到非线性解决方案.
执行数值Floquet线性稳定性分析.

主要成果:

在Floquet光谱中确定了非线性解决方案存在的光谱差距.
在体积和边缘状态中发现了指数定位的Floquet格子单元.
确定了这些单体的稳定性制度.
由内部模式共振引起的特征性不稳定场景.

结论:

非线性局部波,或Floquet网格单体,可以稳定地实现在波导阵列与齐克扎克调制.
线性系统的光谱特性决定了这些非线性解的可能位置和定位.
内部模式共振在单体的不稳定性中起着重要作用.

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