Page 272 - Electrical Properties of Materials
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254                           Dielectric materials

                                         ) a (     White                       ) b (  White
                                                   light                              light




                                                                Polarizer

                                                                Glass plates

                                                               Liquid crystal
                                                                 molecules
                                      V                                  V


                                                            Liquid crystal
                                                             molecules

                                                                 Glass plates

     Fig. 10.27                                                   Polarizer
     A schematic representation of the
     operational principles of a twisted
     nematic display device.


                                   very successful in supplanting cathode ray tubes. Their main competitors are
                                               ∗
     ∗  The way this book is organized, plasma  plasma displays at present, and organic light-emitting diodes (to be discussed
     effects are often discussed but there is  in Appendix I) in the future.
     no single chapter, not even a single sec-
     tion, devoted entirely to their properties.
     Hence this point is probably the best
     for briefly describing the operation of  10.18  Dielectrophoresis
     plasma displays. The essential elements
     are as follows. There are two sets of  A phenomenon related to polarization is dielectrophoresis (or DEP), in which
     electrodes perpendicular to each other,  an electric field is used to generate a force on a dielectric particle, often when
     to which voltages can be applied by the  it is suspended in a liquid. Unlike the dielectric effects we have encountered so
     control circuits. Between each pair of
     crossed electrodes there is a cell filled  far, DEP requires a nonuniform field. Also unlike most ‘classical’ effects on
     with gas (xenon and neon), in which the  matter, it was only investigated in detail relatively recently (by Herbert Pohl, in
     gas is ionized by the applied voltage.  the 1950s).
     The ionized gas gives rise to ultraviolet  Consider a single dielectric particle, which we assume contains separable
     photons, which, on impact, cause red,
     green, and blue phosphors (just as in a  charges ±q. In the absence of any field, the centres of positive and negative
     colour cathode ray tube) to emit visible  charge coincide. If a uniform electric field E is applied in the x-direction, there
     light at the right amplitude, in the right  will be a force ±qE on each charge. These forces cause the charge centres to
     proportion of colours.
                                   separate, moving apart by distance dx. This polarization is clearly responsible
                                   for any dielectric effects. However, in total the forces cancel, so there is no net
                                   force on the particle.
                                     Consider now the case when the electric field is nonuniform. How could
                                   we generate such a field? One simple method is to apply a potential between
                                   a pair of shaped electrodes. For example, we could apply a voltage V between
                                   a cylindrical wire located at the origin and a co-axial cylindrical conducting
                                   shell, as shown in Fig. 10.28. At any radius r around the centre, the electric
                                   flux and field must both act in the radial direction. Symmetry and continuity
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