中文摘要：

基于栅状表面等效锚定能公式和弹性理论,对Bryan-Brown等人提出的混和排列向列相液晶盒进行研究.通过变分理论得到指向矢倾角和扭曲角满足的方程和边界条件.根据这些方程和边界条件,利用差分迭代方法计算出指向矢倾角和扭曲角对应某一个δ/λ值在不同电压下的分布.应用琼斯矩阵方法,研究这种液晶盒的电光效应.这些结果都与栅状表面的几何参数有关,即与周期λ和振幅δ有关.

英文摘要：

With an equivalent anchoring energy formula for grating surface and elastic theory, a hybrid aligned nematic （HAN） liquid crystal cell proposed by Bryan-Brown et al is studied. Equations and boundary conditions for tilt angle and twist angle of director are obtained with variation theory. Tilt angle and twist angle of director with applied voltage at certain δ/λ are calculated with finite-difference iterative method. Electro-optical effect of liquid crystal cells is investigated with Jones matrix method. It depends on geometrical parameters of the grating surface, pitch λ and amplitude δ.