Azimuthal anchoring of a nematic liquid crystal on a grooved interface with anisotropic polar anchoring
Zhou Xuan(周璇)a)b), Zhang Zhi-Dong(张志东)c)†, Ye Wen-Jiang(叶文江)c), and Xuan Li(宣丽)a)b)
a. State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;
b. Graduate School of the Chinese Academy of Sciences, Beijing 100049, China;
c. Department of Physics, Hebei University of Technology, Tianjin 300401, China
Abstract Zhang Y J et al. [Zhang Y J, Zhang Z D, Zhu L Z and Xuan L 2011 Liquid Cryst. 38 355] investigated the effects of finite polar anchoring on the azimuthal anchoring energy at a grooved interface, in which polar anchoring was isotropic in the local tangent plane of the surface. In this paper, we investigate the effects of both isotropic and anisotropic polar anchoring on the surface anchoring energy in the frame of Fukuda et al.'s theory. The results show that anisotropic polar anchoring strengthens the azimuthal anchoring of grooved surfaces. In the one-elastic-constant approximation (K11 = K22 = K33 = K), the surface-groove-induced azimuthal anchoring energy is entirely consistent with the result of Faetti, and it reduces to the original result of Berreman with an increase in polar anchoring. Moreover, the contribution of the surface-like elastic term to the Rapini-Papoular anchoring energy is zero.
Fund: Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. A2010000004), the National Natural Science Foundation of China (Grant No. 60736042), and the Key Subject Construction Project of Hebei Provincial University, China.
Zhou Xuan(周璇), Zhang Zhi-Dong(张志东), Ye Wen-Jiang(叶文江), and Xuan Li(宣丽) Azimuthal anchoring of a nematic liquid crystal on a grooved interface with anisotropic polar anchoring 2012 Chin. Phys. B 21 066104
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