中国物理B ›› 1997, Vol. 6 ›› Issue (6): 422-428.doi: 10.1088/1004-423X/6/6/004

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THE WIDTH EFFECT OF ELECTRODE IN THE FREEDERICKSZ TRANSITION OF NEMATIC LIQUID CRYSTALS

王存道, 杨国琛   

  1. The Institute of Applied Mathematics and Physics, Hebei University of Technology, Tianjin 300130, China
  • 收稿日期:1996-04-29 出版日期:1997-06-20 发布日期:1997-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundati on of China and in part by the China Postdoctoral Science Foundation.

THE WIDTH EFFECT OF ELECTRODE IN THE FREEDERICKSZ TRANSITION OF NEMATIC LIQUID CRYSTALS

WANG CUN-DAO (王存道), YANG GUO-CHEN (杨国琛)   

  1. The Institute of Applied Mathematics and Physics, Hebei University of Technology, Tianjin 300130, China
  • Received:1996-04-29 Online:1997-06-20 Published:1997-06-20
  • Supported by:
    Project supported by the National Natural Science Foundati on of China and in part by the China Postdoctoral Science Foundation.

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摘要： The Freedericksz transition of nematic liquid crystals with limited width of ele ctrode on substrates of the cell is investigated. Solving two-dimensional nonli near partial differential equations by means of numerical method, we obtained the sp ace distribution of the director of the liquid crystal. The threshold voltage is found to depend on the ratio of the electrode width l to the thickness of the liquid crystal layer d. The deflect angleθ of the director lapses near the edge of the electrode and the width of this lapsing area are discussed.

Abstract: The Freedericksz transition of nematic liquid crystals with limited width of ele ctrode on substrates of the cell is investigated. Solving two-dimensional nonli near partial differential equations by means of numerical method, we obtained the sp ace distribution of the director of the liquid crystal. The threshold voltage is found to depend on the ratio of the electrode width l to the thickness of the liquid crystal layer d. The deflect angle $\theta$ of the director lapses near the edge of the electrode and the width of this lapsing area are discussed.

中图分类号:  (Transitions in liquid crystals)

  • 64.70.M-
61.30.-v (Liquid crystals) 02.30.Jr (Partial differential equations)