强非局域介质中1+2维高斯型损耗光孤子

1+2 D Gaussian lossy soliton in strongly nonlocal media

运用变分法研究了1+2维傍轴高斯光束在小损耗强非局域非线性介质中的传输特性,得到了光束各参量的近似演化方程、束宽的近似演化规律和一个临界功率。当初始功率大于临界功率时,束宽按准正弦函数和准余弦函数规律作准周期性压缩变化;反之,当初始功率小于临界功率时,其束宽按准正弦函数和准余弦函数规律作准周期性展宽变化;当初始功率等于临界功率时,且损耗足够小时,可得到一个束宽缓慢展宽的1+2维高斯型损耗空间光孤子。

The variational approach is used in discussing the propagation properties of 1+2D paraxial Gaussian shaped optical beam in small loss strongly nonlocal nonlinear media,a set of optical beam approximate evolution equations,the beam width approximate evolution law and a critical power are obtained.The initial power is bigger than the critical power,the beam width compresses periodically and obeys the quasi-sine function and the quasi-cosine function law,with Gaussian shaped optical beam propagating in small loss strongly nonlocal nonlinear media;otherwise,the initial power is smaller than the critical power,the beam width broadens periodically and obeys the above function laws;When the loss is small,a 1+2D Gaussian shaped spatial lossy soliton of the beam width slow broaden is obtained.