中文摘要：

慢光和慢光孤子由于在全光通信技术等领域内的重要应用已成为量子光学和非线性光学研究的热点。利用四阶紧致分裂步有限差分法离散精确描述三能级冷原子介质中高阶型双稳态慢光孤子行为的广义非线性薛定谔方程,得到相应的离散格式。采用Rb原子D1线精细结构参数进行数值模拟,通过适当改变精细结构饱和参数和初始入射探测场,分析单个和多个双稳态慢光孤子的演化行为。数值结果表明饱和参数对高阶双稳态慢光孤子的演化有显著的影响,多个慢光孤子的相互作用不但与慢光孤子的振幅和相互距离有关,还和慢光孤子的排列方式有关。

英文摘要：

Slow light and slow optical solitons have become the focus of quantum optics and nonlinear optics for their application in all optical communication technology etc. Applying the fourth order compact splitting step finite difference method to discretize the generalized nonlinear Sehrodinger equation precisely describing the behaviors of high order dual steady slow optical solitons in three-level gaseous media, we obtained the corresponding discrete scheme. Taking the Rb atomic fine structure parameters to simulate, we analyzed the evolution behaviors of single and multiple slow optical solitons by changing the fine structure parameter and the initial probe field properly. Numerical simulation results showed that the saturated parameters have an obvious effects on the evolution of high order dual steady slow optical solitons. Interaction of multiple high order dual steady slow optical solitons has something to do with the amplitudes, the distance and the array of optical solitons.