Large-amplitude nematicon propagation in a liquid crystal with local response
Large-amplitude nematicon propagation in a liquid crystal with local response
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DOI：
10.1364/josab.23.002551
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发表时间：
2006-12
影响因子：
1.9
通讯作者：
C. G. Reimbert;A. Minzoni;N. F. Smyth;A. Worthy
中科院分区：
文献类型：
--
作者：
C. G. Reimbert;A. Minzoni;N. F. Smyth;A. Worthy
本文分析了在任意输入光功率下，指向矢对光的重取向有局部响应的双折射液晶中偏振光的演化。描述这种演变的近似方程推导出一个合适的试验功能的基础上，在拉格朗日制定的基本方程所涉及的电场。结果表明，材料响应的非线性是负责形成孤子，所谓的nematicons，通过饱和的非线性薛定谔方程的非线性。因此，在局部材料响应极限下，由于非线性饱和行为而形成孤子。最后表明，所导出的向列子演化近似方程的解与局部区域的全向列子方程的数值解非常吻合。
The evolution of polarized light in a nematic liquid crystal whose directors have a local response to reorientation by the light is analyzed for arbitrary input light power. Approximate equations describing this evolution are derived based on a suitable trial function in a Lagrangian formulation of the basic equations governing the electric fields involved. It is shown that the nonlinearity of the material response is responsible for the formation of solitons, so-called nematicons, by saturating the nonlinearity of the governing nonlinear Schrodinger equation. Therefore in the local material response limit, solitons are formed due to the nonlinear saturation behavior. It is finally shown that the solutions of the derived approximate equations for nematicon evolution are in excellent agreement with numerical solutions of the full nematicon equations in the local regime.