中文摘要：

本文研究了矩形和圆形截面铅玻璃介质中强非局域空间光孤子的传输特性.基于镜像法,光束在铅玻璃中的传输被分成独立的两个过程,即孤子的形成和孤子的整体偏转.孤子的形成不依赖于边界,它来源于入射源光束本身形成的折射率分布的作用,所以形成孤子的临界功率只与材料的性质和入射光束束宽有关.孤子的整体偏转在本质上来源于边界的作用,其偏转力在数值上等同于所有镜像光束与源光束之间的作用力.截面圆形和截面矩形的边界分别＂镜像＂出一个和无穷多个镜像光束,进而导致不同边界条件下孤子不同的偏转轨迹.文中解析求得的孤子的临界功率以及两种边界条件下孤子的偏转轨迹与实验结果有很好的符合.

英文摘要：

The soliton propagations in lead glass separately with circle and rectangle boundaries are theoretically and experimentally investigated. Based on the image beam method the soliton propagation in lead glass is comprised of two independent processes： the soliton forming and the soliton steering as a whole. The soliton-forming process is boundary independent, which is caused by the source beam itself induced refractive index distribution. The force which leads to the soliton steering essentially comes from the boundary effect and is equal to the force between the soliton beam and all of the image beams. The numbers of the images are one and infinite respectively for the boundaries of circle and rectangle. This results in a different steering force with a different boundary. The closed-form solutions of the soliton critical power and the steering trajectories are in good agreement with the experimental results.