同心柱筒中混合排列向列相液晶中的挠曲电效应

摘要

本文研究径向电场作用下同心柱筒中混合排列向列相液晶的指向矢分布, 重点研究挠曲电效应对指向矢分布的影响.向列相液晶处于同心圆柱构成的薄层间, 内表面径向锚定、外表面轴向锚定以及内表面轴向锚定、外表面径向锚定构成两种同心柱筒混合排列模型.基于向列相液晶Frank弹性理论, 通过差分迭代方法, 分别在强锚定及弱锚定边界条件下, 研究了两种模型中挠曲电效应对指向矢分布的影响.研究结果表明:挠曲电效应在薄层内边界、外边界以及薄层内部对指向矢分布有着不同的影响;同心柱筒中指向矢分布由柱对称性、边界锚定作用、介电耦合作用、挠曲电效应的综合作用所决定.%The director distribution of the hybrid aligned nematic liquid crystal in concentric cylinders under a radial electric field is studied.The influence of the flexoelectric effect on director distribution is mainly studied.The nematic liquid crystals are in the thin layer of concentric cylinders, in which the radial anchoring of the inner surface and the axial anchoring of the external surface, or the axial anchoring of the inner surface and the radial anchoring of the external surface constitute two hybrid aligned nematic liquid crystals models.Based on the Frank elastic theory of nematic liquid crystal, the influence of the flexoelectric effect on the director distribution in the two models is studied under the strong anchoring and weak anchoring boundary conditions by the finite-difference iterative method.The study shows that the influence of the flexoelectric effect on the director distribution is different in the inner boundary, the outer boundary and the thin layer, and that the director distribution in the thin layer is determined by the comprehensive effect of cylindrical symmetry, boundary anchoring strength, dielectric effect and flexoelectric effect.