Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity

CORC > 西安光学精密机械研究所 > 中国科学院西安光学精密机械研究所 > 瞬态光学技术国家重点实验室

	Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity
	Zeng, Jianhua 1; Malomed, Boris A.2,3
刊名	physical review e
	2017-05-24
卷号	95 期号:5
ISSN号	2470-0045
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.
产权排序	1
英文摘要	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.
学科主题	physics, fluids & plasmas ; physics, mathematical
WOS标题词	science & technology ; physical sciences
类目[WOS]	physics, fluids & plasmas ; physics, mathematical
研究领域[WOS]	physics
关键词[WOS]	photonic crystal fibers ; optical lattices ; vortex solitons ; dynamics
收录类别	SCI
语种	英语
WOS记录号	WOS:000402019500003
内容类型	期刊论文
源URL	[http://ir.opt.ac.cn/handle/181661/29039]
专题	西安光学精密机械研究所_瞬态光学技术国家重点实验室
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.. 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..(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).