向列相液晶中强非局域空间光孤子传输的理论研究

对向列相液晶中非局域空间孤子的传输进行了理论研究.基于非线性液晶孤子传输方程，采用Gauss形式的试探解，不仅得到了空间孤子的解析解,而且还在临界功率附近得到了呼吸子的解析解.通过数值模拟证明我们的结果比Conti和Assanto等人的结果更合理.同时，对液晶中的非局域孤子模型和Snyder等提出的强非局域孤子模型进行了全面的比较.关键词：向列相液晶空间孤子非局域非线性呼吸子

Theoretical investigation of propagation of nonlocal spatial soliton in nematic liquid crystals

In this paper, we investigate the propagation of the nonlocal optical spatial soliton in undoped nematic liquid crystals. On the basis of Schroedinger-type nonlinear equation and reorientation equation, we not only obtained the analytical expression of spatial soliton but also got the expression of breather in the vicinity of the critical power by use of Guassian trial solution. By comparisons of analytical and numerical simulations, we found that our expressions are more precise than those of C. Conti and G. Assanto. Furthermore, we thoroughly compare the nonlocal model in nematic liquid crystals with the linear model suggested by Snyder and Mitchell.