Stable solitons in the 1D and 2D generalized nonlinear Schrodinger equations with the periodic effective mass and PT-symmetric potentials

doi:10.1016/j.aop.2017.08.022

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	Stable solitons in the 1D and 2D generalized nonlinear Schrodinger equations with the periodic effective mass and PT-symmetric potentials
	Chen, Yong ; Yan, Zhenya1
	2017-11-01
发表期刊	ANNALS OF PHYSICS
ISSN	0003-4916
卷号	386 页码:44-57
摘要	We explore the influence of effective-mass modulation on beam dynamics in the one- and two-dimensional generalized linear and nonlinear Schrodinger equations with parity-time (PT) symmetric periodic potentials. In the linear regime, we successively give the first and second PT threshold curves of optical lattices under the modulation of different effective masses, and analyze the associated band structure and diffraction dynamics of beams. In the Kerr-nonlinear regime, a family of novel optical solitons can exist in the semi-infinite gap. As the effective-mass parameter grows, the existing range of these solitons gradually increases whereas their stable domain gradually diminishes. Two-dimensional (2D) stability analysis reveals that the larger effective-mass parameter, gain-and-loss amplitude, and propagation constant may more easily lead to instable solitons. The 1D and 2D transverse power flows are also examined. Our results may open a new design window for the nonlinear optics in the effective mass and PT-symmetric lattices and other related fields. (C) 2017 Elsevier Inc. All rights reserved.
关键词	The generalized linear and nonlinear Schrodinger equations PT-symmetric periodic potentials Effective-mass modulation Optical solitons Stability
DOI	10.1016/j.aop.2017.08.022
语种	英语
资助项目	NSFC[11571346] ; NSFC[61621003] ; Youth Innovation Promotion Association CAS
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000414891900005
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26855
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yong,Yan, Zhenya. Stable solitons in the 1D and 2D generalized nonlinear Schrodinger equations with the periodic effective mass and PT-symmetric potentials[J]. ANNALS OF PHYSICS,2017,386:44-57.
APA	Chen, Yong,&Yan, Zhenya.(2017).Stable solitons in the 1D and 2D generalized nonlinear Schrodinger equations with the periodic effective mass and PT-symmetric potentials.ANNALS OF PHYSICS,386,44-57.
MLA	Chen, Yong,et al."Stable solitons in the 1D and 2D generalized nonlinear Schrodinger equations with the periodic effective mass and PT-symmetric potentials".ANNALS OF PHYSICS 386(2017):44-57.