| Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity | |
| Zeng, Jianhua1; Malomed, Boris A.2,3; Zeng, JH (reprint author), Chinese Acad Sci, Xian Inst Opt & Precis Mech, State Key Lab Transient Opt & Photon, Xian 710119, Peoples R China. | |
| 作者部门 | 瞬态光学技术国家重点实验室 |
| 2017-05-24 | |
| 发表期刊 | PHYSICAL REVIEW E
 |
| ISSN | 2470-0045 |
| 卷号 | 95期号:5 |
| 产权排序 | 1 |
| 摘要 | Recent studies have demonstrated that defocusing cubic nonlinearity with local strength growing from the center to the periphery faster than r(D), in space of dimension D with radial coordinate r, supports a vast variety of robust bright solitons. In the framework of the same model, but with a weaker spatial-growth rate similar to r(alpha) with alpha <= D, we test here the possibility to create stable localized continuous waves (LCWs) in one-dimensional (1D) and 2D geometries, localized dark solitons (LDSs) in one dimension, and localized dark vortices (LDVs) in two dimensions, which are all realized as loosely confined states with a divergent norm. Asymptotic tails of the solutions, which determine the divergence of the norm, are constructed in a universal analytical form by means of the Thomas-Fermi approximation (TFA). Global approximations for the LCWs, LDSs, and LDVs are constructed on the basis of interpolations between analytical approximations available far from (TFA) and close to the center. In particular, the interpolations for the 1D LDS, as well as for the 2D LDVs, are based on a deformed-tanh expression, which is suggested by the usual 1D dark-soliton solution. The analytical interpolations produce very accurate results, in comparison with numerical findings, for the 1D and 2D LCWs, 1D LDSs, and 2D LDVs with vorticity S = 1. In addition to the 1D fundamental LDSs with the single notch and 2D vortices with S = 1, higher-order LDSs with multiple notches are found too, as well as double LDVs, with S = 2. Stability regions for the modes under consideration are identified by means of systematic simulations, the LCWs being completely stable in one and two dimensions, as they are ground states in the corresponding settings. Basic evolution scenarios are identified for those vortices that are unstable. The settings considered in this work may be implemented in nonlinear optics and in Bose-Einstein condensates. |
| 文章类型 | Article |
| 学科领域 | Physics, Fluids & Plasmas |
| WOS标题词 | Science & Technology ; Physical Sciences |
| DOI | 10.1103/PhysRevE.95.052214 |
| 收录类别 | SCI |
| 关键词[WOS] | PHOTONIC CRYSTAL FIBERS ; OPTICAL LATTICES ; VORTEX SOLITONS ; DYNAMICS |
| 语种 | 英语 |
| WOS研究方向 | Physics |
| 项目资助者 | NSFC, China(61690222 ; State Key Laboratory of Transient Optics and Photonics ; Chinese Academy of Sciences(2016357) ; CAS/SAFEA ; National Science Foundation (US)(2015616) ; Binational (US-Israel) Science Foundation(2015616) ; 61690224 ; 11204151) |
| WOS类目 | Physics, Fluids & Plasmas ; Physics, Mathematical |
| WOS记录号 | WOS:000402019500003 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.opt.ac.cn/handle/181661/29039 |
| 专题 | 瞬态光学研究室 |
| 通讯作者 | Zeng, JH (reprint author), Chinese Acad Sci, Xian Inst Opt & Precis Mech, State Key Lab Transient Opt & Photon, Xian 710119, Peoples R China. |
| 作者单位 | 1.Chinese Acad Sci, Xian Inst Opt & Precis Mech, State Key Lab Transient Opt & Photon, Xian 710119, Peoples R China 2.Tel Aviv Univ, Sch Elect Engn, Dept Phys Elect, Fac Engn, IL-69978 Tel Aviv, Israel 3.ITMO Univ, Lab Nonlinear Opt Informat, St Petersburg 197101, Russia |
| 推荐引用方式 GB/T 7714 | Zeng, Jianhua,Malomed, Boris A.,Zeng, JH . Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity[J]. PHYSICAL REVIEW E,2017,95(5). |
| APA | Zeng, Jianhua,Malomed, Boris A.,&Zeng, JH .(2017).Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity.PHYSICAL REVIEW E,95(5). |
| MLA | Zeng, Jianhua,et al."Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity".PHYSICAL REVIEW E 95.5(2017). |
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| Localized dark solit（1322KB） | 期刊论文 | 作者接受稿 | 限制开放 | CC BY-NC-SA | 请求全文 | |
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