Topological Edge States and Gap Solitons in the Nonlinear Dirac Model,Laser & Photonics Reviews

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Topological Edge States and Gap Solitons in the Nonlinear Dirac Model
Laser & Photonics Reviews ( IF 9.8 ) Pub Date : 2019-11-04 , DOI: 10.1002/lpor.201900223
Daria A. Smirnova _{1,

2} , Lev A. Smirnov ₂ , Daniel Leykam ₃ , Yuri S. Kivshar ₁

Affiliation

Topological photonics has emerged recently as a novel approach for realizing robust optical circuitry, and the study of nonlinear effects in topological photonics is expected to open the door for tunability of photonic structures with topological properties. Here, the topological edge states and topological gap solitons which reside in the same band gaps described by the nonlinear Dirac model are studied, in both one and two dimensions. Strong nonlinear interactions between these dissimilar topological modes, manifested in the efficient excitation of topological edge states by scattered traveling gap solitons are revealed. Nonlinear tunability of localized states is explicated with exact analytical solutions for the two‐component spinor wave function. Our studies are complemented by spatiotemporal numerical modeling of the nonlinear scattering in 1D and 2D photonic lattices.

中文翻译：

非线性Dirac模型中的拓扑边缘状态和间隙孤子

拓扑光子学最近作为实现鲁棒光学电路的一种新方法而出现，并且对拓扑光子学中非线性效应的研究有望为具有拓扑特性的光子结构的可调谐性打开大门。在这里，研究了一维和二维维的拓扑边缘状态和拓扑带隙孤子，它们位于非线性狄拉克模型描述的相同带隙中。揭示了这些不同的拓扑模式之间的强非线性相互作用，这表现为通过分散的行进间隙孤子对拓扑边缘状态的有效激发。局部状态的非线性可调性通过两分量自旋波函数的精确解析解进行了阐述。

更新日期：2019-11-04

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