KMS Of Academy of mathematics and systems sciences, CAS
| 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 | |
| Source Publication | ANNALS OF PHYSICS
 |
| ISSN | 0003-4916 |
| Volume | 386Pages:44-57 |
| Abstract | 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. |
| Keyword | 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 |
| Language | 英语 |
| Funding Project | NSFC[11571346] ; NSFC[61621003] ; Youth Innovation Promotion Association CAS |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary |
| WOS ID | WOS:000414891900005 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26855 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 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 |
| Recommended Citation 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. |
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