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手征向列相液晶螺旋轴即为光轴,此轴的空间取向直接影响着液晶中光传播的特性。采用理论分析和数值模拟相结合的方法,研究了液晶展曲与弯曲形变存在的差异和对手征向列相液晶挠曲电螺旋光轴倾角及动力学响应特性的影响。假设在静电平衡及动力学响应两种状态下,系统均具有统一的挠曲电螺旋光轴,忽略介电各向异性,分别计算了两种不同状态下系统的平均自由能密度。利用欧拉方程及转矩平衡方程得到了螺旋光轴倾角满足的平衡方程及动力学方程。通过数值计算,讨论了两种形变的差异对挠曲电螺旋光轴倾角及动力学响应特性的影响。结果表明两种形变差异的存在,均使螺旋光轴扭曲角及特性响应时间变化,差异越大变化越快,这种影响是不可忽略的,这为液晶电光快速响应提供了依据。
Chiral nematic liquid crystal helical axis is the optical axis, the spatial orientation of this axis directly affects the liquid crystal light transmission characteristics. The difference between liquid crystal flexure and flexural deformation and the influence on the optical axis tilt and dynamic response of the flexural liquid helix induced by the chiral liquid crystal are studied by the combination of theoretical analysis and numerical simulation. It is assumed that the system has a uniform flexoelectric spiral axis under the conditions of static equilibrium and dynamic response, ignoring the dielectric anisotropy and calculating the average free energy density of the system in two different states respectively. The Euler equation and the torque balance equation are used to obtain the equilibrium equation and dynamic equation of helical optical axis inclination. By numerical calculation, the influence of the difference between the two deformations on the tilt angle and the dynamic response of the flexoelectric spiral axis is discussed. The results show that the existence of two deformations all make the torsion angle and the characteristic response time change. The greater the difference is, the faster the variation is. This effect can not be neglected, which provides a basis for the rapid response of electro-optic liquid crystal.