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arXiv 1608.04828physics.opticsnlin.PS
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旋转波导阵列支持的局域波

Localized waves supported by the rotating waveguide array

Xiao Zhang, Fangwei Ye, Yaroslav V. Kartashov, Victor A. Vysloukh, Xianfeng Chen

摘要:

我们发现,截断旋转方形波导阵列支持新类型的本地化模式,即使在线性的情况下存在,在完全相反的非旋转阵列需要非线性的存在和形成以上的能量流阈值的本地化激发。这些新的模式出现在阵列中心周围,因为旋转导致在旋转轴处具有最小值的有效吸引势的出现,或者出现在阵列拐角处,在这种情况下,由于离心力(在准粒子类比方面)和截断阵列的界面处的全内反射之间的竞争而发生局部化。由旋转介导的中心和角模式的本地化程度随旋转频率而增加。分析了在聚焦和散焦介质中从线性模分叉出来的稳定旋转孤子族。

英文摘要:

We show that truncated rotating square waveguide arrays support new types of localized modes that exist even in the linear case, in complete contrast to localized excitations in nonrotating arrays requiring nonlinearity for their existence and forming above the energy flow threshold. These new modes appear either around array center, since rotation leads to the emergence of the effective attractive potential with a minimum at the rotation axis, or in the array corners, in which case localization occurs due to competition between centrifugal force (in terms of quasi-particle analogy) and total internal reflection at the interface of the truncated array. The degree of localization of the central and corner modes mediated by rotation increases with rotation frequency. Stable rotating soliton families bifurcating from linear modes are analyzed in both focusing and defocusing media.

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