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Integrated optics                       353






                                                         transmitted
                                                         beam
                        Optical input
                        beam


                                                     diffracted
                                                     beam


                                                                             Fig. 13.13
                                                           photodetector
                                                             array           A spectrometer relying on
                                 acoustic beam                               acousto-optic interaction.

               Let us say we have an optical beam incident at an angle θ to the hori-
            zontal direction. If we want to deflect it by 2θ, then we need an acoustic
            wave propagating in the vertical direction [see Fig. 13.12(a)] and having a
            wavelength of λ ac = λ op /2n sin θ. How could we deflect the beam by a further
             θ? In order to have the Bragg interaction, we need to change the acoustic
            wavelength to

                                               λ op
                                λ ac +  λ ac =                      (13.11b)
                                           2n sin(θ +  θ)
             and, in addition, tilt the acoustic wave (it can be done by using an appropriate
            launching array) by  θ/2, as shown in Fig. 13.12(b).
               Our final example is a spectrum analyser. It is essentially the same device as
            the beam scanner but used the other way round. The unknown input frequency
            to be determined is fed into the device in the form of an acoustic wave via
            an acoustic transducer. It will deflect the input optical beam by an amount
            which depends on the frequency of the acoustic wave. The deflected optical
            beam is then detected by an array of photodetectors (Fig. 13.13). The position
            of the photodetector upon which the beam is incident will then determine the
            unknown frequency.


            13.7 Integrated optics
            This is not unlike integrated circuits, a subject we have discussed in detail
            when talking about semiconductor devices. The basic idea was to ‘integrate’,
            that is to put everything on a single chip and by doing so achieve compactness,
            ruggedness, economy of scale, etc. The same idea of integration (advanced
            towards the end of the 1960s) can also be applied to optical circuits with all
            the corresponding advantages. In principle one could have lasers, waveguides,
            optical processing circuits, all on the same chip. In practice, the results have
            been rather limited due to technological difficulties and, probably, inadequacy
            of the scale of effort. The economic imperative which was the driving force be-
            hind the integrated circuit revolution has simply not been there for their optical
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