亚强非局域介质中的超高斯空间光孤子族研究

研究了亚强非局域介质中超高斯光束的传播特性.运用变分法,对任意实对称响应函数泰勒级数展开取至四阶,得到了1+1维亚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.分析结果表明：束宽解是椭圆雅可比双周期函数,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.提出了超高斯空间光孤子族模型和准方波形空间光孤子的实现可能性.

Family of Super-Gaussian Beams Spatial Optical Solitons in Sub-Strongly Non-Local Nonlinear Media

Explored is the propagation of paraxial Super-Gaussian Beams in sub-strongly non-local nonlinear media.The family of Super-Gaussian spatial optical solitons in such media,modelled by 1+1D non-local nonlinear Schrdinger equation (NNLSE),is presented.In the sub-strongly non-local case,an approximate analytical solution is obtained for an arbitrary response function by a variational approach.The solution with a combination of the Jacobian fuction beams width shows that the shift of phase,the spatial chirp and the critical input power are proportion to the order of the Super-Gaussian optical beams,The probability of quasi-square wave spatial solitons is also involved.