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One-and two-dimensional gap solitons and dynamics in the PT - symmetric lattice potential and spatially-periodic momentum modulation
Chen, Yong1,2; Yan, Zhenya1,2; Li, Xin1,2
2017-02-01
Source PublicationCOMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN1007-5704
Volume55Pages:287-297
AbstractThe 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.
KeywordGeneralized nonlinear Schrodinger equation PT-symmetric lattice potential Spatially-periodic momentum modulation Gap solitons Stability
DOI10.1016/j.cnsns.2017.07.022
Language英语
Funding ProjectNSFC[11571346] ; Youth Innovation Promotion Association CAS
WOS Research AreaMathematics ; Mechanics ; Physics
WOS SubjectMathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS IDWOS:000411753200023
PublisherELSEVIER SCIENCE BV
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26669
Collection系统科学研究所
Corresponding AuthorYan, Zhenya
Affiliation1.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
Recommended Citation
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.
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