首页 > 论文 > 光学仪器 > 37卷 > 4期(pp:303-307)

非局域非线性介质中厄米高斯光束的变分解

A variational solution of Hermite Gaussian beams in the strongly nonlocal nonlinear media

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

摘要

非局域非线性介质中的薛定谔方程很难用传统的方法得出精确解析解,利用变分法系统研究了强非局域非线性介质中厄米高斯光束的传输问题。通过对非线性介质中响应函数的展开,使得非线性薛定谔方程得以简化,求解出高阶高斯光束孤子解。利用数值模拟研究了厄米高斯光束在介质中传输时束宽不变的问题,结果显示当非局域程度非常大时,解析解非常接近数值解。

Abstract

It is difficult to use the conventional method to obtain accurate analytical solution of the Schrodinger equation in the nonlocal nonlinear media. The propagation of Hermite-Gaussian (HG) beams in the strongly nonlocal nonolinear media is discussed with a variational method in this paper. The nonlinear Schrodinger equation can be simplified through expanding the response function in the nonlinear medium. The solution of high-order Gaussian beam soliton is obtained. The beam width of HG beam is unchanged when it propagates in the media by using numerical simulations. The results show that the analytical solution is closer to the numerical solution when the degree of the nonlocality is very large.

Newport宣传-MKS新实验室计划
补充资料

中图分类号:O 437

DOI:10.3969/j.issn.1005-5630.2015.04.005

所属栏目:应用技术

基金项目:河南省科技厅资助项目(122300410416)

收稿日期:2014-10-28

修改稿日期:--

网络出版日期:--

作者单位    点击查看

白东峰:河南工业职业技术学院 光电工程系, 河南 南阳 473009
王毅:河南工业职业技术学院 光电工程系, 河南 南阳 473009
卢宏炎:河南工业职业技术学院 光电工程系, 河南 南阳 473009

联系人作者:白东峰(342807543@qq.com)

备注:白东峰(1980-)男,讲师,主要从事光学及光学仪器方面的研究。

【1】SNYDER A W,MITCHELL D J.Accessible solitons[J].Science,1997,276(6):1538-1541.

【2】CONTI C,PECCIANTI M,ASSANTO G.Route to nonlocality and observation of accessible solitons[J].Physical Review Letters,2003,91(7):073901-1-4.

【3】CONTI C,PECCIANTI M,ASSANTO G.Observation of optical spatial solitons in a highly nonlocal medium[J].Physical Review Letters,2004,92(11):113902-1-4.

【4】ROTSCHILD C,COHEN O,MANELA O,et al.Solitons in nonlinear media with an infinite range of nonlocality: First observation of coherent elliptic solitons and of vortex-ring solitons[J].Physical Review Letters2005,95(21):213904-1-4.

【5】PECCIANTI M,CONTI C,ASSANTO G.All-optical switching and logic gating with spatial solitons in liquid crystals[J].Applied Physics Letters,2002,81(18):3335-3337.

【6】PECCIANTI M,BRZDAKIEWICZ K A,ASSANTO G.Nonlocal spatial soliton interactions in nematic liquid crystals[J].Optics Letters,2002,27(16):1460-1462.

【7】GUO Q,LUO B R,YI F H, et al.Large phase shift of nonlocal optical solitons[J].Physical Review,2004,69(1):016602-1-8.

【8】HUANG Y,GUO Q,CAO J N.Optical beams in lossy nonlocal Kerr media[J].Optics Communications,2006,261(1):175-180.

【9】HU W,ZHANG T,GUO Q,et al.Nonlocality-controlled interaction of spatial solitons in nematic liquid crystals[J].Applied Physics Letters,2006,89(7):071111-1-3.

【10】BUCCOLIERO D,DESYATNIKOV A S,KROLIKOWSKI W,et al.Laguerre and Hermite soliton clusters in nonlocal nonlinear media[J].Physical Review Letters,2007,98(5):053901-1-4.

【11】DENG D M,ZHAO X,GUO Q, et al.Hermite-Gaussian breathers and solitons in strongly nonlocal nonlinear media[J].Journal of the Optical Society of America B,2007,24(9):2537-2544.

【12】BAI D F,HUANG C C,HE J F, et al.Variational solutions for Hermite-Gaussian solitons in nonlocal nonlinear media[J].Chinese Physics B,2009,18(7):2853-2857.

【13】OUYANG S G,GUO Q,LAN S, et al.The solutions of the strongly nonlocal spatial solitons with several types of nonlocal response functions[J].Chinese Physics, 2007,16(8):2325-2330.

【14】OUYANG S G,GUO Q,WU L, et al.Conservation laws of the generalized nonlocal nonlinear Schrodinger equation[J].Chinese Physics,2007,16(8):2331-2337.

【15】BAI Z Y,DENG D M,GUO Q.Elegant Ince-Gaussian beams in a quadratic-index medium[J].Chinese Physics B,2011,20(9):094202.

【16】BAI Z Y,DENG D M,GUO Q.Elegant Ince-Gaussian breathers in strongly nonlocal nonlinear media[J].Chinese Physics B,2012,21(6):064218.

引用该论文

BAI Dongfeng,WANG Yi,LU Hongyan. A variational solution of Hermite Gaussian beams in the strongly nonlocal nonlinear media[J]. Optical Instruments, 2015, 37(4): 303-307

白东峰,王毅,卢宏炎. 非局域非线性介质中厄米高斯光束的变分解[J]. 光学仪器, 2015, 37(4): 303-307

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