沟槽表面对向列相液晶取向产生方位锚泊能机理的研究  

Study on the mechanism of surface-groove-induced azimuthal anchoring energy for the nematic liquid crystal alignment

作　　者：徐洪亮[1] 王晓燕[1] 张艳君[2] 周璇[2] 张志东[2] 

机构地区：[1]河北冀雅电子有限公司,河北石家庄050071 [2]河北工业大学应用物理系,天津300401

出　　处：《河北工业大学学报》2015年第5期65-69,共5页Journal of Hebei University of Technology

基　　金：国家自然科学基金(11374087)

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sin4,另一项正比于sin2,其中为指向矢的方位角.在模型I中,正比于sin4的项主要依赖于体弹性常数,而正比于sin2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sin2,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.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.

关 键 词：方位锚泊能 表面沟槽 向列相液晶 弹性形变 变分理论 

分 类 号：O753[理学—晶体学]