Azimuthal anchoring of a nematic liquid crystal on a grooved interface with anisotropic polar anchoring

doi:10.1088/1674-1056/21/6/066104

中国物理B ›› 2012, Vol. 21 ›› Issue (6): 66104-066104.doi: 10.1088/1674-1056/21/6/066104

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Azimuthal anchoring of a nematic liquid crystal on a grooved interface with anisotropic polar anchoring

周璇^{a b}, 张志东^c, 叶文江^c, 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

收稿日期:2011-06-23 修回日期:2011-11-03 出版日期:2012-05-01 发布日期:2012-05-01
基金资助:
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.

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

Received:2011-06-23 Revised:2011-11-03 Online:2012-05-01 Published:2012-05-01
Contact: Zhang Zhi-Dong E-mail:zhidong_zhang@yahoo.cn
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: azimuthal anchoring energy, surface grooves, anchoring isotropy, anchoring anisotropy

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.

Key words: azimuthal anchoring energy, surface grooves, anchoring isotropy, anchoring anisotropy

中图分类号: (Surface phenomena: alignment, anchoring, anchoring transitions, surface-induced layering, surface-induced ordering, wetting, prewetting transitions, and wetting transitions)

61.30.Hn

周璇, 张志东, 叶文江, 宣丽. Azimuthal anchoring of a nematic liquid crystal on a grooved interface with anisotropic polar anchoring[J]. 中国物理B, 2012, 21(6): 66104-066104.

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[J]. Chin. Phys. B, 2012, 21(6): 66104-066104.

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Azimuthal anchoring of a nematic liquid crystal on a grooved interface with anisotropic polar anchoring

Azimuthal anchoring of a nematic liquid crystal on a grooved interface with anisotropic polar anchoring

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