Using the finite element method, we numerically investigated the transient behavior of molecular orientations of a liquid crystal (LC) lens with a circular electrode beside a hole-patterned electrode and a common flat electrode that has a resistive film. The transient properties of a three-dimensional electric field and the molecular orientations of the LC were simultaneously calculated when voltages were applied across a circular electrode/circularly hole-patterned electrode and a common electrode. The axially symmetric and bell-like distribution of the refractive index could also be obtained. When relatively high voltages were applied to the LC lens, LC molecular orientation defects, such as the disclination line, occurred in the inner region of the circularly hole-patterned electrode. The behavior of the LC directors at the defects were estimated, and transient properties of their phase profiles were predicted via numerical calculation. The spherical distribution of phase retardation without defects could be exhibited by applying a relatively high voltage with short switching on and switching off.

使用有限元方法，我们数值研究了液晶（LC）透镜的分子取向的瞬态行为，该液晶透镜的圆形电极位于孔型电极旁边，而普通平面电极带有电阻膜。当在圆形电极/圆孔图案化电极和公共电极上施加电压时，可以同时计算三维电场的瞬态特性和LC的分子取向。还可得到折射率的轴对称和钟形分布。当向LC透镜施加相对较高的电压时，在圆孔图案化电极的内部区域中发生诸如错位线的LC分子取向缺陷。估计了LC指向矢在缺陷处的行为，并通过数值计算预测了其相位分布的瞬态特性。通过施加相对高的电压并在短时接通和关断的情况下，可以表现出无缺陷的相位延迟的球形分布。