摘要
利用变分方法求解了小光强光折变非线性薛定谔方程,得到了高斯光束在外加正偏压光折变晶体中的演化特性,以及高斯光束宽度压缩与展宽的动态振荡规律,给出了高斯光束的宽度、振幅和波前曲率的表达式,研究了势函数与光束宽度的关系.结果表明,小光强高斯光束在正偏压光折变晶体中传播时,其宽度和振幅将经历周期地变化或者展宽发散,在一定条件下高斯光束在晶体中可以形状不变地传播,形成“高斯孤子”,这些特性在工程实践中具有很高的实用价值.
Using a variational approach, the low intensity photorefractive nonlinear Schroedinger equation is solved. The evolution properties of Guassian beam propagating in photorefractive crystal biased with positive electric field are obtained. The dynamic variation of the beam width spread or compression is investigated by analyzing the potential function description for the variation of beam width. Solutions of the low intensity Guassian beam pmpngating in the positively biased photorefraetive crystal are obtained for the beam width, beam amplitude, and the curvature of wave front. The results show that the amplitude and width of Guassian beam will exhibit a periodical oscillatory or deeoncentration behavior when propagating in the positively biased photorefractive crystal. Under certain condition, the Guassian beam can steadily pmpngate with invariant shape, forming a Guassian soliton. These properties have a high practical value in engineering.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2007年第3期1379-1384,共6页
Acta Physica Sinica
基金
陕西省教育厅专项基金(批准号:04JK309)资助的课题.~~
关键词
高斯孤子
高斯光束
变分方法
光折变非线性方程
Guassian soliton, Guassian beam, variational approach, photorefractive nonlinear equation
