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强非局域非线性介质中的超高斯空间光孤子族
引用本文:刘金龙,陈金华,李海,旷卫民.强非局域非线性介质中的超高斯空间光孤子族[J].光学学报,2007,27(7):261-1265.
作者姓名:刘金龙  陈金华  李海  旷卫民
作者单位:1. 华南农业大学理学院,广州,510642
2. 华南农业大学理学院,广州,510642;赣南师范学院物理与电子信息学院,赣州,341000
基金项目:江西省教育厅科技项目(赣教技字[2005]223号)资助课题
摘    要:运用变分法,对任意实对称响应函数泰勒级数展开取至二阶,得到了1 1维强非局域非线性介质中光束传输的超高斯光束的近似分析解,提出了超高斯空间光孤子族模型。分析结果表明:束宽解是三角函数型,相移、空间啁啾以及临界输入功率都正比于超高斯光束的阶数,束宽振荡周期不仅与介质材料有关,而且还与光束和相位因子的阶有关。提出了准方波形空间光孤子的可能性。

关 键 词:非线性光学  超高斯空间光孤子族  变分法  强非局域非线性介质
文章编号:0253-2239(2007)07-1261-5
收稿时间:2006/10/8
修稿时间:2006-10-08

Family of Super-Gaussian Beams Spatial Optical Solitons in Strong Non-Local Nonlinear Media
Liu Jinlong,Chen Jinhua,Li Hai,Kuang Weimin.Family of Super-Gaussian Beams Spatial Optical Solitons in Strong Non-Local Nonlinear Media[J].Acta Optica Sinica,2007,27(7):261-1265.
Authors:Liu Jinlong  Chen Jinhua  Li Hai  Kuang Weimin
Institution:1. College of Science, South China Agricultural University, Guangzhou 510642; 2. School of Physics and Electronic Information, Gannan Normal University, Ganzhou 341000
Abstract:Presented is the family of super-Gaussian spatial optical solitons in non-local nonlinear media modelled by 1+1 dimensional non-local nonlinear Schrdinger equation (NNLSE), in the strongly non-local case, an approximate analytical solution is obtained for an arbitrary response function by a variational approach. The solution with a sine beams width shows that the shift of phase, the spatial chirp and the critical input power are proportional to the order of the super-Gaussian optical beams, the period of the beam width is related not only to the material, but also to the orders of both the beams and the phase. The probability of quasi-square wave spatial solitons is also involved.
Keywords:nonlinear optics  family of super-Gaussian spatial optical solitons  variational approach  non-local nonlinear media
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