Theoretical study of azimuthal anchoring energy in polarization grating configuration based on elastic anisotropy of nematic liquid crystals

Yan-jun ZHANG; Zhi-dong ZHANG; Li-zhi ZHU; Rui-xia YANG

doi:10.3788/YJYXS20163108.0768

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Theoretical study of azimuthal anchoring energy in polarization grating configuration based on elastic anisotropy of nematic liquid crystals

Material and Device | 更新时间：2020-07-07

- Theoretical study of azimuthal anchoring energy in polarization grating configuration based on elastic anisotropy of nematic liquid crystals
- Chinese Journal of Liquid Crystals and Displays Vol. 31, Issue 8, Pages: 768-772(2016)
- 作者机构：
  
  1.河北工业大学理学院, 天津 300401
  2.河北工业大学电子信息工程学院, 天津 300401
  3.天津科技大学包装与印刷工程学院, 天津 300222
- 作者简介：
- 基金信息：
- DOI：10.3788/YJYXS20163108.0768
  CLC： O753.2
- Received：01 April 2016，
  
  Accepted：17 May 2016，
  
  Published：2016-08
- 稿件说明：
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Yan-jun ZHANG, Zhi-dong ZHANG, Li-zhi ZHU, et al. Theoretical study of azimuthal anchoring energy in polarization grating configuration based on elastic anisotropy of nematic liquid crystals[J]. Chinese journal of liquid crystals and displays, 2016, 31(8): 768-772.
DOI：

Yan-jun ZHANG, Zhi-dong ZHANG, Li-zhi ZHU, et al. Theoretical study of azimuthal anchoring energy in polarization grating configuration based on elastic anisotropy of nematic liquid crystals[J]. Chinese journal of liquid crystals and displays, 2016, 31(8): 768-772. DOI： 10.3788/YJYXS20163108.0768.

摘要

通过设计上下基板向列相液晶分子排列构建偏振光栅结构模型，并根据向列相液晶Frank弹性理论计算其方位锚定能，其理论结果可为实验测量提供有力的理论指导作用。本文根据弹性理论，考虑弹性各向异性计算了偏振光栅结构的方位锚定能，得到了方位锚定能与光栅条纹宽度关系的解析解。弹性各向异性对方位锚定能有着显著影响。由于液晶具有各向异性，考虑弹性各向异性研究方位锚定能是必要的，其结果更具有普遍性。

Abstract

The azimuthal anchoring energy can be calculated by designing nematic molecular alignment at two substrates to build a polarization grating configuration

based on the Frank elastic theory of nematic liquid crystals. The theoretical results can provide a powerful theoretical guidance for experimental measurement. In this paper

we study the azimuthal anchoring energy based on the elastic anisotropy of the nematic liquid crystals and obtain the analytic solutions of azimuthal anchoring energy related to the widths of dark stripes. The elastic anisotropy has a significant influence on the azimuthal anchoring energy. It is necessary to consider the elastic anisotropy to study the azimuthal anchoring energy because of the anisotropy of liquid crystal.

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references

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