Berreman近似下任意形状表面沟槽对双轴向列相方位锚定的影响  

Effect of Grooved Surface with Arbitrary Shape on Anchoring Energy of Biaxial Nematic Liquid Crystal

作　　者：郑桂丽[1] 李根堂[1] 张志东[1] 

机构地区：[1]河北工业大学理学院,天津300401

出　　处：《液晶与显示》2011年第2期137-141,共5页Chinese Journal of Liquid Crystals and Displays

基　　金：国家自然科学基金(No.60736042);河北省自然科学基金(No.A2010000004);河北省重点学科资助项目

摘　　要：通过把Berreman近似下任意形状的表面沟槽用傅里叶级数展开,写成正弦函数和的形式,将Fukuda等人的理论应用于双轴向列相液晶中,考虑表面弹性项的作用后得到了任意形状的沟槽对双轴液晶产生的方位锚定能。在一定的近似条件下得到约化锚定能随着沟槽的方向与液晶主指向矢之间的夹角的变化情况,讨论了双轴弹性常数对液晶易取向方向的影响。Under the approximation of Berreman,any grooved surface with arbitrary shape can be described in terms of Fourier series.Based on the theory of Fukuda et al,the expression of anchoring energy with an additional term was obtained,taking into the surfacelike elastic term in biaxial nematic liquid crystal.The figures of reduced anchoring energies versus the angle between the direction of the grooves and main director were simulated under the different values of surfacelike elastic constant in certain cases and the effect of biaxial elastic constant on easy axes was discussed.

关 键 词：双轴向列相液晶 沟槽 傅里叶级数 锚定能 

分 类 号：O753.2[理学—晶体学]