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弱非局域介质中1+2维高斯型损耗空间光孤子
引用本文:王形华,罗兴垅,陈小亮,钟惠芳.弱非局域介质中1+2维高斯型损耗空间光孤子[J].江西科学,2008,26(5):703-706.
作者姓名:王形华  罗兴垅  陈小亮  钟惠芳
作者单位:1. 赣南师范学院物理与电子信息学院,江西,赣州,341000
2. 赣南师范学院数学与计算机科学学院,江西,赣州,341000
摘    要:利用变分法研究了1+2维傍轴高斯型光束在含有小损耗的弱非局域非线性介质中的传输特性,得到了光束各参量的演化方程和一个临界功率。在介质损耗足够小的前提下,当光束初始功率等于临界功率时,得到了一个束宽随传输距离缓慢展宽了的1+2维高斯光束型准空间光孤子—损耗空间光孤子。

关 键 词:弱非局域介质  高斯光束  非线性Sehr?dinger方程  变分法  损耗孤子

1+2 D Gaussian Lossy Soliton in Lossy Weakly Nonlocal Media
WANG Xing-hua,LUO Xing-long,CHEN Xiao-liang,ZHONG Hui-fang.1+2 D Gaussian Lossy Soliton in Lossy Weakly Nonlocal Media[J].Jiangxi Science,2008,26(5):703-706.
Authors:WANG Xing-hua  LUO Xing-long  CHEN Xiao-liang  ZHONG Hui-fang
Institution:WANG Xing-hua, LUO Xing-long, CHEN Xiao-liang ,ZHONG Hui-fang(1. School of Physics and Electronic Information, Gannan Normal University,Jiangxi Ganzhou 341000 PRC;2. School of Mathematic and Computer Science, Gannan Normal University, Jiangxi Ganzhou 341000 PRC)
Abstract:The propagation property of 1 2 dimensional paraxial Gaussian beam is investigated in small lossy weakly nonlocal nonlinear media by means of variational method.The evolution equations of the parameters and a critical power are obtained for the beam.In the case of small loss,a 1 2 dimensional Gaussian lossy optical spatial soliton with beam width slow diffraction is found when the input power equals the critical power.
Keywords:Weakly nonlocal media  Gaussian beam  Nonlinear Schrodinger equation  Variatioal approach  Lossy soliton
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