向列型液晶中的非局域孤子

谢元栋

向列型液晶中的非局域孤子

华南师范大学,物理与电信工程学院,广州,510006;华南师范大学,光电子信息科技学院,广东省高校重点实验室,广州,510006

通讯作者: 谢元栋

Theory of nonlocal soliton in nematic liquid crystal

Corresponding author: Xie Yuandong

摘要: 在两种极限情况下求得了向列型液晶中(1+1)D空间光孤子的精确解析解.对非局域非线性项作近似计算,获得了光束的演化方程.在弱非局域情况下,直接积分得出单峰孤子解;强非局域情况下,用贝塞尔函数表示明孤子的解析解,本征值个数与峰的个数一致,预示了多峰明孤子的存在;这些结果与其它文献的精确数值解一致.并把所得解与双曲近似解析解进行了比较.

关键词:

Abstract: The (1+1)D spatial optical soliton solutions in nematic liquid crystal are obtained in both weakly and strongly nonlocal limits.By an approximate calculation of the nonlocal nonlinear term in both cases,the propagation equation of beams is derived.In weakly nonlocal case,the solution can be gotten by directive integral and one hump soliton is shown.In strongly nonlocal case,the bright soliton solutions can be expressed by Bessel function,and the number of humps coincides with the number of eigenmodes,predicting the existence of multihump solitons.These results are in good agreement with numerical ones in other papers.The exact solutions are also compared with hyperbolic approximate analytic ones.

向列型液晶中的非局域孤子

通讯作者: 谢元栋

华南师范大学,物理与电信工程学院,广州,510006;华南师范大学,光电子信息科技学院,广东省高校重点实验室,广州,510006

关键词:

Theory of nonlocal soliton in nematic liquid crystal

Corresponding author: Xie Yuandong

华南师范大学,物理与电信工程学院,广州,510006;华南师范大学,光电子信息科技学院,广东省高校重点实验室,广州,510006

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