摘要
曲面液晶系统具有与平面液晶系统不同的特性。本文在轴向强锚定边界条件下,施加垂直于圆柱轴方向的匀强电场,对圆柱腔内向列相液晶的指向矢形变进行研究。基于液晶连续体弹性理论,给出系统的平衡态方程及边界条件,并通过有限差分迭代方法进行了数值计算。得出了指向矢形变阈值电场的解析解,发现不同的弹性常数会导致圆柱腔横截面上的指向矢变化的不对称性。此研究为光子晶体光纤的实验研究提供了更准确的理论分析。
The curved liquid-crystal system has different characteristics from the planar liquid-crystal system.In this paper,the director of nematic liquid crystal in a cylindrical cavity is studied by applying a uniform electric field perpendicular to the axis of the cylinder under the strong axial anchoring boundary condition.Based on the elastic continuum theory of liquid crystal,the equilibrium equations and boundary conditions of the system are given.The analytical solution of the threshold electric field for the deformation of the director is obtained.It is found that different elastic constants will lead to the asymmetry of the change of the director on the cross section of the cylindrical cavity.It provides a more accurate theoretical analysis for the experimental research of photonic crystal fibers.
作者
孙桂姣
李延敏
张艳君
张辉
李志广
郑桂丽
朱吉亮
SUN Gui-jiao;LI Yan-min;ZHANG Yan-jun;ZHANG Hui;LI Zhi-guang;ZHENG Gui-li;ZHU Ji-liang(School of Science,Hebei University of Technology,Tianjin 300401,China)
出处
《液晶与显示》
CAS
CSCD
北大核心
2023年第8期1005-1013,共9页
Chinese Journal of Liquid Crystals and Displays
基金
Supported by Natural Science Foundation of Hebei Province of China(No.F2020202015)
Innovation Method Fund of China(No.2020IM020600)
Research Projects of Undergraduate Education and Teaching Reform of Hebei University of Technology of China(No.201903006)
Ministry of Education Industry-University Cooperative Education Program of China(No.202102026001)。
关键词
圆柱腔
阈值电场
向列相液晶
指向矢
cylindrical cavity
electric threshold
nematic liquid crystal
director