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354                           Optoelectronics

                                   counterparts. It looks as though optical communications can come about on
                                   a wide scale, without the benefit of integrated optics, so unless there is some
                                   new and urgent impetus provided by the need to develop optical computers or
                                   some other forms of optical processing, further progress is likely to remain
                                   slow. Nevertheless, it is a very promising technique, so I must give at least an
                                   introduction to its basic precepts.


                                   13.7.1  Waveguides
                                   The principle is very simple. If a material exhibiting a certain index of refrac-
                                   tion is surrounded by a material of lower index of refraction, then a wave may
                                   be guided in the former material by successive total internal reflections. Optical
                                   fibres (mentioned before) represent one such possibility for guiding waves, but
                                   that is not suitable for integrated optics. We can however rely on the fact that
                                   the refractive index of GaAs is higher than that of AlGaAs and, consequently, a
                                   GaAs layer grown on the top of AlGaAs will serve as a waveguide. As may be
                                   seen in Table 13.2, GaAs is an electro-optic crystal, it is also suitable for pro-
                                   ducing junction lasers, microwave oscillators, and transistors. Thus, altogether,
                                   GaAs seems to be the ideal material for integrated optics. Well, it is indeed the
                                   ideal material, but the problems of integration have not as yet been solved. It
                                   is still very much at the laboratory stage.
                                     Nearer to commercial application are the LiNbO 3 devices, which I shall
                                   describe in more detail. In these devices the waveguides are produced by indif-
                                   fusing Ti into a LiNbO 3 substrate through appropriately patterned masks (the
                                   same kind of photolithography we met in Section 9.22 when discussing integ-
                                   rated circuits). Where Ti is indiffused the refractive index increases sufficiently
                                   to form a waveguide.

                                   13.7.2  Phase shifter

                                   Considering that LiNbO 3 is electro-optic, we may construct a simple device,
                                   using two electrodes on the surface of the crystal on either side of the wave-
                                   guide, and apply a voltage to it, as shown in Fig. 13.14. With a voltage V 0 ,
                                   we may create an electric field roughly equal to V 0 /d, where d is the distance
                                   between the electrodes. Hence, the total phase difference that can be created is


                                                             V 0          d



                                            electrodes
                                                                                   L




                                                                      LiNbO  substrate
     Fig. 13.14                                                            3
     A phase shifter relying on the change
     of dielectric constant caused by the
     applied voltage.                     Ti indiffused waveguide
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