中文摘要：

研究了向列相液晶取向中表面沟槽诱导方位锚泊能的机制.针对沟槽表面与液晶各向同性和各向异性锚泊作用分别建立模型Ⅰ和模型Ⅱ.模型I给出方位锚泊能含有2项,一项正比于sin^4,另一项正比于sin^2,其中为指向矢的方位角.在模型I中,正比于sin^4的项主要依赖于体弹性常数,而正比于sin^2的项主要依赖于表面弹性常数.模型Ⅱ给出方位锚泊能正比于sin^2,并且主要依赖于体弹性常数.当沟槽表面与液晶之间的作用足够强时,模型Ⅰ退化为Fukuda等人的结果,而模型Ⅱ退化为Berreman理论的结果.讨论了两个模型的适用范围.

英文摘要：

This paper studies the mechanism of surface-groove-induced azimuthal anchoring energy for the nematic liquid crystal alignment. Model Ⅰ and model Ⅱ are built up for the grooved surface with isotropic and anisotropic anchoring action on the liquid crystals, respectively. Model Ⅰ illustrates the azimuthal anchoring energy containing two terms, one term proportional to sin^4φ, another to sin^2φ, where φ is the azimuthal angle of the director. In Model Ⅰ, the term proportional to sin^4φ, depends mainly on the bulk elastic constant K, while the term proportional to sin^2φ, depends mainly on the surface-like elastic constant Ks. Model Ⅱ illustrates the azimuthal anchoring energy containing only the term proportional to sin^2φ, and it depends mainly on the bulk elastic constant K. When the action of the grooved surface on the liquid crystals is strong enough, Model I reduces to the result ofFukuda et al. and Model Ⅱ to Berreman＇s theory. The scope of application for Model Ⅰ and Model Ⅱ are discussed.