光子学报 ›› 2019, Vol. 48 ›› Issue (10): 1048002-1048002.doi: 10.3788/gzxb20194810.1048002

• “光孤子”专题 • 上一篇    下一篇

竞争非局域非线性向列相液晶中亮孤子

浦绍质, 厉颖佳, 丛文博, 张留洋   

  1. 哈尔滨理工大学 理学院 物理系, 哈尔滨 150080
  • 收稿日期:2019-09-11 出版日期:2019-10-25 发布日期:2019-09-27
  • 作者简介:浦绍质(1981-),男,副教授,博士,主要研究方向为空间光孤子.Email:shaozhipu@126.com
  • 基金资助:

    国家自然科学基金(No.61405049),黑龙江省自然科学基金(Nos.QC2015086,F2016023)

Bright Solitons in Liquid Crystals with Competing Nonlocal Nonlinearities

PU Shao-zhi, LI Ying-jia, CONG Wen-bo, ZHANG Liu-yang   

  1. Department of Physics, School of Science, Harbin University of Science and Technology, Harbin 150080, China
  • Received:2019-09-11 Online:2019-10-25 Published:2019-09-27
  • Contact: 2019-09-27
  • Supported by:

    The National Natural Science Foundation of China (No. 61405049), the Natural Science Foundation of Heilongjiang (Nos. QC2015086, F2016023)

摘要:

针对热效应的非局域程度和分子取向效应的非局域程度不等的情况,利用JUNG P S等提出的模型研究了具有竞争非局域非线性效应的向列相液晶中的亮孤子特性.通过变分法得到光束振幅、宽度、啁啾和位相等参数随传输距离的变化规律,即光束振幅和宽度与入射光的功率息息相关,光束宽度随热非局域程度增加单调递减,随热非线性系数增加单调递增.在此基础上给出和入射光束功率密切相关的势能函数.利用势能函数预言了入射光束功率越大亮孤子宽度越小.通过解变分方程组可得,入射光功率为4或8时,光束宽度均随传输距离周期性震荡.这两个震荡趋势有明显的区别,功率为4时光束传输过程中宽度始终大于或等于初始宽度,功率为8时光束传输过程中宽度始终小于或等于初始宽度.该变化规律与数值仿真结论一致.

关键词: 孤子, 非局域, 液晶, 热效应, 竞争

Abstract:

A model which is proposed by JUNG P S et al. is employed to demonstrate analytically properties of individual bright solitons in liquid crystals with competing nonlinearities under the condition of unequal nonlocality of the thermal effect and the reorientational effect. The evolution of the parameters, such as amplitude, width, chirp and phase with transmission distance, are obtained by the variational method. The amplitude and width are closely related to the beam power. The beam width decreases monotonously with the increase of thermal nonlocality and increases monotonously with the increase of thermal nonlinearity. In this case, the equivalent potential which is relate the power of the beams is also obtained. It is predicted by the potential that the larger the incident beam power is, the smaller the bright soliton width is. It is obtained by the variational method that the beam width oscillates periodically with the transmission distance when the incident power is 4 or 8. There are obvious differences between the two oscillation trends. When the power is 4, the width of the beam is always greater than or equal to the initial width. When the power is 8, the width of the beam is always less than or equal to the initial width. The variation of beam width with transmission distance is consistent with the numerical simulation results.

Key words: Competing, Thermal effect, Nonlocal, Liquid crystals, Solitons

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