One-and two-dimensional gap solitons and dynamics in the PT - symmetric lattice potential and spatially-periodic momentum modulation

doi:10.1016/j.cnsns.2017.07.022

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	One-and two-dimensional gap solitons and dynamics in the PT - symmetric lattice potential and spatially-periodic momentum modulation
	Chen, Yong 1,2; Yan, Zhenya1,2 ; Li, Xin 1,2
	2017-02-01
发表期刊	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN	1007-5704
卷号	55 页码:287-297
摘要	The influence of spatially-periodic momentum modulation on beam dynamics in paritytime (PT) symmetric optical lattice is systematically investigated in the one-and twodimensional nonlinear Schrdinger equations. In the linear regime, we demonstrate that the momentum modulation can alter the first and second PT thresholds of the classical lattice, periodically or regularly change the shapes of the band structure, rotate and split the diffraction patterns of beams leading to multiple refraction and emissions. In the Kerr-nonlinear regime for one-dimension (1D) case, a large family of fundamental solitons within the semi-infinite gap can be found to be stable, even beyond the second PT threshold; it is shown that the momentum modulation can shrink the existing range of fundamental solitons and not change their stability. For two-dimension (2D) case, most solitons with higher intensities are relatively unstable in their existing regions which are narrower than those in 1D case, but we also find stable fundamental solitons corroborated by linear stability analysis and direct beam propagation. More importantly, the momentum modulation can also utterly change the direction of the transverse power flow and control the energy exchange among gain or loss regions. (C) 2017 Elsevier B. V. All rights reserved.
关键词	Generalized nonlinear Schrodinger equation PT-symmetric lattice potential Spatially-periodic momentum modulation Gap solitons Stability
DOI	10.1016/j.cnsns.2017.07.022
语种	英语
资助项目	NSFC[11571346] ; Youth Innovation Promotion Association CAS
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000411753200023
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26669
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mech, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 049, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yong,Yan, Zhenya,Li, Xin. One-and two-dimensional gap solitons and dynamics in the PT - symmetric lattice potential and spatially-periodic momentum modulation[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2017,55:287-297.
APA	Chen, Yong,Yan, Zhenya,&Li, Xin.(2017).One-and two-dimensional gap solitons and dynamics in the PT - symmetric lattice potential and spatially-periodic momentum modulation.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,55,287-297.
MLA	Chen, Yong,et al."One-and two-dimensional gap solitons and dynamics in the PT - symmetric lattice potential and spatially-periodic momentum modulation".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 55(2017):287-297.