中国物理B ›› 2009, Vol. 18 ›› Issue (1): 238-245.doi: 10.1088/1674-1056/18/1/039

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Threshold property of a nematic liquid crystal cell with two grating surface substrates

苑梦尧1, 叶文江2, 邢红玉2, 杨国琛2   

  1. (1)College of Science, Beijing Institute of Technology, Beijing 100081, China; (2)School of Sciences, Hebei University of Technology, Tianjin 300401, China
  • 收稿日期:2008-05-13 修回日期:2008-09-08 出版日期:2009-01-20 发布日期:2009-01-20
  • 基金资助:
    Project supported by the Key Subject Construction Project of Hebei Province University of China and the National Natural Science Foundation of China (Grant Nos 10704022 and 60736042).

Threshold property of a nematic liquid crystal cell with two grating surface substrates

Ye Wen-Jiang(叶文江)a)†, Xing Hong-Yu(邢红玉)a), Yang Guo-Chen(杨国琛)a), and Yuan Meng-Yao(苑梦尧)b)   

  1. a School of Sciences, Hebei University of Technology, Tianjin 300401, China; b College of Science, Beijing Institute of Technology, Beijing 100081, China
  • Received:2008-05-13 Revised:2008-09-08 Online:2009-01-20 Published:2009-01-20
  • Supported by:
    Project supported by the Key Subject Construction Project of Hebei Province University of China and the National Natural Science Foundation of China (Grant Nos 10704022 and 60736042).

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摘要： A grating surface can drive the liquid crystal molecules to orientate along the direction parallel or vertical to the projected plane of the grating surface. The nematic liquid crystal (NLC) cell manufactured with two pre-treated grating surface substrates may realize the vertical display, parallel display and twist display. In this paper, the threshold property of this NLC cell is investigated systematically. With the Frank elastic theory and the equivalent anchoring energy formula of grating surface substrate, the analytic expressions of the threshold voltage related to three displays are obtained, which are dependent on their geometrical parameters such as amplitude δ and pitch λ of the grating surface substrate. For a certain anchoring strength, the threshold voltage increases or decreases with the increase of the value δ/λ of the different displays.

关键词: grating surface, equivalent anchoring energy formula, threshold property, threshold voltage

Abstract: A grating surface can drive the liquid crystal molecules to orientate along the direction parallel or vertical to the projected plane of the grating surface. The nematic liquid crystal (NLC) cell manufactured with two pre-treated grating surface substrates may realize the vertical display, parallel display and twist display. In this paper, the threshold property of this NLC cell is investigated systematically. With the Frank elastic theory and the equivalent anchoring energy formula of grating surface substrate, the analytic expressions of the threshold voltage related to three displays are obtained, which are dependent on their geometrical parameters such as amplitude $\delta$ and pitch $\lambda$ of the grating surface substrate. For a certain anchoring strength, the threshold voltage increases or decreases with the increase of the value $\delta/\lambda$ of the different displays.

Key words: grating surface, equivalent anchoring energy formula, threshold property, threshold voltage

中图分类号:  (Liquid crystals)

  • 61.30.-v