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

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...

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Published inChinese physics B Vol. 21; no. 6; pp. 378 - 384
Main Author 周璇 张志东 叶文江 宣丽
Format Journal Article
LanguageEnglish
Published 01.06.2012
Subjects
Anchoring
Anisotropy
Approximation
Frames
Grooved
Liquid crystals
Liquids
Mathematical analysis
Tangents
各向同性
各向异性表面
向列液晶
接口
方位角
极性
锚固
锚定能
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/6/066104

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Summary: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.
Bibliography:azimuthal anchoring energy, surface grooves, anchoring isotropy, anchoring anisotropy
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.
Zhou Xuan, Zhang Zhi-Dong, Ye Wen-Jiang, and Xuan Li（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
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/6/066104