摘要
利用强非局域非线性介质中傍轴光束传输的线性模型(Snyder-Mitchell模型)讨论了椭圆坐标系下光束传输过程,通过设立Ince多项式对Gauss函数的调制解得到了强非局域非线性介质中光束稳定传输的Ince-Gauss解.当Ince-Gauss光束的入射功率为临界功率时,光束保持孤子形式传输,否则传输光束的束宽呈现周期性波动,即为呼吸子形式.同时还数值模拟了呼吸子的传输过程.Ince-Gauss光在一定条件下可以连续转换为Hermite-Gauss光或Laguerre-Gauss光,图示展现了几个低阶Ince型光孤子及其转换情况.
Based on the Snyder-Mitchell model that describes the paraxial beam propagating in strongly nonlocal nonlinear media and by constituting the trial solution with modulating the Gaussian beam by Ince polynomials in elliptic coordinate,the close forms of Ince-Gaussian beams have been accessed. Depending on the power of the beam,the Ince-Gaussian beams can be either a soliton state when the input power is equal to the critical power or a breather state. The Ince-Gaussian beams constitute the exact and continuous transition modes between Hermite-Gaussian beams and Laguerre-Gaussian beams. The profiles of the breather at different propagating distance are numerically obtained and the transitions of a few Ince solitons are given.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2009年第12期8332-8338,共7页
Acta Physica Sinica
基金
教育部留学回国人员科研启动基金
高等学校博士学科点专项科研基金(批准号:200802871028)
江苏省"六大人才高峰"(批准号:07-A-011)资助的课题~~
