首页 > 论文 > 量子电子学报 > 35卷 > 5期(pp:603-607)

非线性色散对高斯脉冲传输的影响

Influence of nonlinear dispersion on Gauss pulse transmission

  • 摘要
  • 论文信息
  • 参考文献
  • 被引情况
  • PDF全文
分享:

摘要

采用变分法求解含有三阶、五阶非线性项以及Kerr色散项的非线性薛定谔方程(NLSE)。 推导出不同参数下高斯脉冲参量随传播距离的演化方程。结果表明特定条件下,脉冲在一定距离内以呼 吸子的形式稳定传播。在较强的Kerr色散效应下,孤子的强度变化会增大,传播过程中波峰变尖。

Abstract

The nonlinear Schrdinger equation(NLSE) including cubic-quintic nonlinearity and Kerr dispersion term is solved by variational method. Evolution equations of Gaussian pulse parameters versus propagation distance with different parameters are derived. Results show that under certain conditions, the pulses propagate stably in the form of breather within a certain distance. Under the strong Kerr dispersion effect, the intensity change of solitons will increase, and the peaks will become sharp during propagation.

Newport宣传-MKS新实验室计划
补充资料

中图分类号:O437.3

DOI:10.3969/j.issn.1007-5461. 2018.05.014

所属栏目:非线性光学

基金项目:Supported by National Natural Science Foundation of China(国家自然科学基金, 11404108), Graduate Student Research Innovation Fund Project of Hubei Normal University(湖北师范大学研究生创新科研基金项目, 20170134)

收稿日期:2017-06-28

修改稿日期:2017-09-07

网络出版日期:--

作者单位    点击查看

黄峻堃:湖北师范大学物理与电子科学学院, 湖北 黄石 435000
张少武:湖北师范大学物理与电子科学学院, 湖北 黄石 435000
万冲:湖北师范大学物理与电子科学学院, 湖北 黄石 435000

联系人作者:联系作者

备注:黄峻堃(1991-), 湖北大冶人,研究生,从事非线性光学方面的研究。E-mail: 632071764@qq.com

【1】Hasegawa A, Tappert F. Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion[J]. Applied Physics Letters, 1973, 23(3): 142-144.

【2】Ablowitz M A, Clarkson P A. Solitons, Nonlinear Evolution Equations and Inverse Scattering[M]. Cambridge University Press, 1992, 18(1-3): 223-241.

【3】Kruglov V I, Peacock A C, Harvey J D. Exact self-similar solutions of the generalized nonlinear Schrdinger equation with distributed coefficients[J]. Physical Review Letters, 2003, 90(11): 113902.

【4】Gan Guirong, Luo Kaiji. Variational study on influence of high-order dispersion and fifth-order nonlinearity on propagation properties of Gaussian pulse in optical fibers[J]. Acta Optica Sinica (光学学报) , 2008, 28(6): 1041-104(in Chinese).

【5】Marklund M, Shukla P K, Stenflo L. Ultrashort solitons and kinetic effects in nonlinear metamaterials[J]. Physical Review E: Statistical Nonlinear and Soft Matter Physics, 2006, 73: 037601.

【6】Chen Shunfang, Xu Siliu. Transmission characteristics of singular spatial optical soliton in nonlocal nonlinear media[J]. Chinese Journal of Quantum Electronics (量子电子学报), 2014, 31(2): 208-212(in Chinese).

【7】Bai Dongfeng, Lu Hongyan. 1+1 dimension Hermite-Gauss lossy solitons in strongly nonlocal nonlinear media[J]. Chinese Journal of Quantum Electronics (量子电子学报), 2016, 33(5): 584-589(in Chinese).

【8】Gao Jie, Fang Limin, Li Huagang. Spatial optical solitons in Kerr medium with transverse nonperiodic modulation[J]. Chinese Journal of Quantum Electronics (量子电子学报), 2012, 29(2): 204-208(in Chinese).

【9】Zhang S, Yi L. Exact solutions of a generalized nonlinear Schro ¨dinger equation[J]. Physical Review E: Statistical Nonlinear and Soft Matter Physics, 2008, 78: 026602.

【10】Cheng Xudong, Wu Haixin, Ni Youbao, et al. Numerical calculation of laser parameters of infrared nonlinear optical crystal material GaSe[J]. Chinese Journal of Quantum Electronics (量子电子学报), 2015, 32(1): 90-95(in Chinese).

【11】Cheng Xudong, Wu Haixin, Wang Zhenyou, et al. Simulation calculation of nonlinear frequency conversion of infrared nonlinear optical crystal Na2Ge2Se5[J]. Chinese Journal of Quantum Electronics(量子电子学报), 2015, 32(2): 205-209(in Chinese).

【12】Filho V S, Abdullaev F K, Gammal A, et al. Autosolitons in trapped Bose-Einstein condensates with two- and three-body inelastic processes[J]. Physical Review A, 2000, 63(5): 053603.

引用该论文

HUANG Junkun,ZHANG Shaowu,WAN Chong. Influence of nonlinear dispersion on Gauss pulse transmission[J]. Chinese Journal of Quantum Electronics, 2018, 35(5): 603-607

黄峻堃,张少武,万冲. 非线性色散对高斯脉冲传输的影响[J]. 量子电子学报, 2018, 35(5): 603-607

您的浏览器不支持PDF插件,请使用最新的(Chrome/Fire Fox等)浏览器.或者您还可以点击此处下载该论文PDF