关键词: 空间光孤子/
负性向列相液晶/
微扰法/
线性稳定性分析
English Abstract
(1+1)-dimensional spatial optical soliton in nematic liquid crystals with negative dielectric anisotropy: perturbation method
Li Ying-Bing1,Liang Guo1,2,
Hong Wei-Yi1,
Ren Zhan-Mei1,
Guo Qi1
1.Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510006, China;
2.School of Physics and Electrical Information, Shangqiu Normal University, Shangqiu 476000, China
Fund Project:Project supported by the National Natural Science Foundation of China (Grant Nos. 11274125, 11474109).Received Date:11 October 2015
Accepted Date:22 January 2016
Published Online:05 May 2016
Abstract:In this paper, we systematically study the (1+1)-dimensional spatial optical solitons in nematic liquid crystals with negative dielectric anisotropy. Firstly, with the perturbation method, we obtain a (1+1)-dimensional soliton solution in the second approximation.Numerical simulations confirm the analytical soliton solution in the strongly nonlocal case, the critical power of a strongly nonlocal solition is directly proportional to wm2/w3, where wm is a characteristic length of the material response, and w is the soliton width. Secondly, the soliton solutions in nematic liquid crystal with negative dielectric anisotropy are obtained by numerical computation. It is found that the bright solitons exist only when the degree of nonlocality is above a critical value. The analytical solutions in the second approximation accord with the numerical ones very well even under the general degree of nonlocality. Finally, to investigate the stability, we conduct the linear stability analysis, and find that all the solitons are stable, which is also confirmed by the numerical simulations.
Keywords: spatial optical solitons/
nematic liquid crystals with negative dielectric anisotropy/
perturbation method/
linear stability analysis
