强非局域介质中椭圆厄米高斯损耗光孤子

Elliptical Hermite Gaussian lossy soliton in strongly nonlocal nonlinear medium

用变分法研究了强非局域非线性小损耗介质中椭圆厄米高斯光束的传输特性。得到光束各参量在传输过程中的演化方程和束宽的演化规律,当输入功率等于临界功率时,在传输距离不是很远时,可得到椭圆厄米高斯损耗光孤子。随着传输距离的增大,光束束宽缓慢展宽.当初始输入功率大于或小于临界功率时,光束束宽将会按照准正弦和准余弦函数规律作准周期性展宽。

The propagation characters of elliptical Hermite-Gauss beam in nonlocal nonlinear medium with the pres- ence of the losses are studied by using variational approach method. Several equations and parameters describing the evo- lution of the beam propagation are obtained, and the rules of the beam width during its evolution are concluded. The ellip- tical Hermite Gauss lossy optical solitons are achieved when the transmission distance is not far away and the input power equals to the critical power. The beam width becomes broadening slowly with the increasing propagation distance, and the beam width exhibits a quasi-periodic broadening in accordance with the quasi-sine and cosine function when the input pow- er is greater than or less than the critical power,