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! 1.4. Information Display Using Electro-Optic Spatial Light Modulators  653

       coated with a thin electrically conductive but optically transparent metallic
       film (such as indium-tin-oxide, ITO) called the alignment layer; then the layer
       is rubbed with a fine cotton cloth in a unidirectional manner. Fine grooves
       about several nanometers wide are formed by rubbing and thus cause the
       liquid crystal molecules to lie parallel to the grooves. This rubbing method has
       been widely used for fabricating large-panel LC devices. High-quality align-
       ment can be made by vacuum deposition of a fine silicon monoxide (SiO) layer
       to create microgroves onto the surface of the glass for aligning LC molecules.
       If each alignment layer is polished with different directions, the molecular
       orientation rotates helically about an axis normal to plates, such as the
       situation shown in Fig. 11.29. The configuration shown in Fig. 11.29 is called
       the twist alignment as the back glass plate is twisted at an angle with respect
       to the front plate. Hence, if the alignment directions between the two plates are
       90°, we have the perpendicular alignment. If the alignment directions are
       parallel, the LC molecules are parallelly aligned, and we have parallel align-
       ment [39].
         The twisted nematic liquid can act as a polarization rotator under certain
       conditions. For example, if a x-plane polarized light is incident on the crystal
       cell, as shown in Fig. 11.30, the light will rotate its polarization in step with
       the twisted structure (i.e., align with the directors as the light propagates along
       the cell) and eventually will leave the cell with its polarization aligned along
       the v-direction [40].
         We model the twisted nematic liquid crystal, which has width d, as a stack
       of N incremental layers of equal widths Az = d/N. Each of the layers acts as a



                Alignment
                direction

                                                                /AliAlignment
                                                                   direction
                                                                     E














                 Fig. 11.30. Twisted nematic liquid crystal as a polarization rotator.
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