Liquid Crystal Displays. Ernst Lueder. Читать онлайн. Newlib. NEWLIB.NET

Автор: Ernst Lueder
Издательство: John Wiley & Sons Limited
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Жанр произведения: Техническая литература
Год издания: 0
isbn: 9781119668008
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crystal composites for display applications. SID 09, p. 578.

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      4

      Electro-optic Effects in Twisted Nematic Liquid Crystals

       4.1 The Propagation of Polarized Light in Twisted Nematic Liquid Crystal Cells

      The planar wave with wave vector equation images at the input of the cell propagates along the z-axis in Figure 4.1. We investigate the propagation through the cell without considering the light reflected at the LC molecules or absorbed in the cell. The incoming light is linearly polarized in the ξ-direction at an angle α to the x-axis with the electrical field 0 giving the Jones vector

Schematic illustration of the general twisted nematic L C D with twist angle beta.

      in the xy coordinates. The LC molecules in the xy plane are all anchored in the rubbing grooves parallel to the x-direction. The directors of all molecules in the cell are parallel to the xy plane and form a helix with the z-direction as the axis, and with the linear twist angle

      (4.2)equation images

      a pitch p given by

      and a twist angle

      at z = d. For calculations, the helix is cut into slices parallel to the x–y plane. In each slice, all molecules are assumed to be parallel. The slices are rotated from the previous slice by the angle ε. The angle ε corresponds to a thickness with

equation images

      or

      (4.6)equation images

      (4.8)equation images

      or

Schematic illustration of the propagation of light from the Jones vector J1 at the input to the Jones vector Os at the output through the transmission matrices Tv and the rotation matrices Rv.

      with

equation images

      where equation images and equation images in Equations (3.33) and (3.34)