向列相液晶中的临界功率

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1、------------------------------------------------------------------------------------------------向列相液晶中的临界功率摘要本文从理论上分析了非局域程度对向列相液晶中(1+2)维空间光孤子的影响，得到了非线性系数以及特征长度和预倾角的关系,利用泰勒展开法并得到了强非局域性的非线性薛定谔方程,并对Snyder-Mitchell模型作了解释，最终得到了单孤子和临界功率的精确解析解。关键词:空间光孤子,非线性系数,非局域程度,临界功率AbstractInthispaper,wetheo

2、reticallyinvestigatedtheinfluenceofnonlocalityon(1+2)-dimensionalspatialsolitonsinnematicliquidcrystals(NLCs).WeconfirmedthatthenonlinearindexcoefficientandthegeneralcharacteristiclengthofthenonlinearnonlocalityfortheNLCaredependentonthepretiltangleoftheNLCmolecules.ThentheSchrêdinger-typ

3、enonlinearequationinstrongnonlocalitywasgivenandfromtheequationtheanalyticalexpressionsofthesinglesolitonandthecriticalpowerwererespectivelyobtained.Keywords:spatialsoliton,nonlinearindexcoefficient,degreeofnonlocality,criticalpower1目录——————————————————————————————————————----------------

4、--------------------------------------------------------------------------------摘要.....................................................................................................................................1ABSTRACT.................................................................

5、..........................................................1第一章液晶、液晶中空间光孤子及研究现状的简介.....................................3§1.1液晶的简介...................................................................................................................3§1.2液晶中空间光孤子的简介..............................

6、...........................................................3§1.3研究现状........................................................................................................................4§1.4本论文的目的以及研究内容....................................................................................

7、.5第二章非局域程度对向列相液晶中空间光孤子的影响................................6第三章结论..................................................................................................................12谢辞.....................................................................................