Higher-dimensional localized mode families in parity-time-symmetric potentials with competing nonlinearities

被引:12
作者
Dai, Chao-Qing [1 ,2 ]
Wang, Yan [3 ]
机构
[1] Zhejiang Agr & Forestry Univ, Sch Sci, Linan 311300, Zhejiang, Peoples R China
[2] Australian Natl Univ, Res Sch Phys & Engn, Opt Sci Grp, Canberra, ACT 0200, Australia
[3] Shanxi Univ, Inst Theoret Phys, Taiyuan 030006, Peoples R China
基金
中国国家自然科学基金;
关键词
SCHRODINGER-EQUATION; OPTICAL LATTICES; SOLITARY WAVES; SOLITONS; BEHAVIOR; GUIDE;
D O I
10.1364/JOSAB.31.002286
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Both two-dimensional and three-dimensional localized mode families in different parity-time (PT)-symmetric potentials with competing nonlinearities are investigated. We show that localized mode families described by a (2 + 1)-dimensional nonlinear Schrodinger equation in the extended complex PT-symmetric Rosen-Morse potential wells are unstable for all parameters due to the residue of gain (loss) in the system from the nonvanishing imaginary part in the extended Rosen-Morse potentials. In the extended hyperbolic Scarf II potentials, spatial localized modes are stable only for the defocusing cubic and focusing quintic nonlinearities. In this case, the gain (loss) should also be small enough for a certain real part of the PT-symmetric potential; otherwise, localized modes eventually lead to instability. These results have been verified by linear stability analysis from analytical solutions and direct numerical simulation of the governing equation. The phase switch, power, and power-flow density associated with these fundamental localized modes have also been examined. Moreover, the spatial and spatiotemporal localized mode families are presented, and the corresponding stability analysis for these solutions is also carried out. (C) 2014 Optical Society of America
引用
收藏
页码:2286 / 2294
页数:9
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