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

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

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.

Keywords: azimuthal anchoring energy surface grooves anchoring isotropy anchoring anisotropy

Received: 23 June 2011
Revised: 03 November 2011
Accepted manuscript online:

PACS:

61.30.Hn

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

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.

Corresponding Authors: Zhang Zhi-Dong
E-mail: zhidong_zhang@yahoo.cn

Cite this article:

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

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