弱非局域对数饱和型非线性介质中1+1维双曲正割型空间光孤子  

1+1 Dimensional Hyperbolic Secant Spatial Optical Soliton in Weakly Nonlocal Logarithmic Saturated Nonlinear Media

作　　者：陈荣泉[1] 王形华[1,2] 黎东坡[1] 

机构地区：[1]赣南师范学院物理与电子信息学院,江西赣州341000 [2]赣南师范学院光电子材料与技术研究所,江西赣州341000

出　　处：《赣南师范学院学报》2013年第3期4-6,共3页Journal of Gannan Teachers' College(Social Science(2))

基　　金：江西省教育厅科技项目(GJJ11586)

摘　　要：从1+1维非局域非线性薛定谔方程出发,结合非局域对数型饱和型非线性介质中非线性折射率的变化规律,构建出了1+1维双曲正割光束在弱非局域对数饱和型非线性介质所对应的拉格朗日密度函数.在此基础上,运用变分法研究了1+1维双曲正割光束在弱非局域对数饱和型非线性介质中的传输规律,得到了光束各参量的演化方程.通过对光束各参量的演化方程进一步分析得到了束宽演化的动力学方程和一个临界束宽;当光束从束腰处并且以临界束宽入射时,得到了一个稳定的1+1维双曲正割型空间光孤子.To begin with the 1 ＋ 1 D nonlocal nonlinear Schrdinger equation,it is combined with the nonlinear refractive index change rule of the beam conveying in the nonlocal logarithmically saturable nonlinear media to build up the Lagrangian density function of the 1 ＋ 1 D hyperbolic secant beam in weakly nonlocal logarithmic saturable nonlinear media.On this basis,propagation properties of 1 ＋ 1 D hyperbolic secant beam in weakly nonlocal logarithmic saturable nonlinear media are discussed with a variation method,a set of evolution equations of beam parameters are obtained.Through analyzing the evolution equations of beam parameters to further get the beam evolution dynamics equation and a critical beam width;when the beam incidence from the waist and the initial beam width equals the critical beam width,a stable 1 ＋ 1 D hyperbolic secant type spatial optical soliton is found.

关 键 词：变分法 弱非局域介质 对数饱和型 双曲正割型空间光孤子 

分 类 号：O437[机械工程—光学工程]