【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。更多还原

【Abstract】 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.更多还原