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472                  8. Information Storage with Optics

       8.26 For stacked-layer 3-D optical storage using ET materials, show that the
            NA of the addressing cylindrical lens is




            where n l is the refractive index of the ET thin film, and n 2 is the refractive index
            of the cladding layer.
       8.27 Why is a photoplastic device good for a hologram but not appropriate
            for photographic uses?
       8.28 A thin-phase grating can be made using a photoplastic device. The
            thin-phase grating can be expressed as

                   t(x, y) — exp[za co$(2nby)~] = £ i"J n(&) cxp(in2nby),

           where J n is the Bessel function of the first kind and the nth order, and a is a
           constant. Show that the maximum efficiency is 33.9%. (Hint: Use a Bessel
           function table.)
       8.29 The amplitude transmittance of a grating recorded on a photographic
           plate can be expressed graphically in the following figure. What is the
           diffraction efficiency when the photographic plate is illuminated by a
            plane wave?


             1 Amplitude

                                                               Sinusoidal
                                                               Function







       8.30 What is the optical gain of ET thin film? Assume the quantum efficiencies
           of ET thin film to blue and infrared exposures are 10% and 5%,
           respectively.
       8.31 Can we employ an ET thin film to record and reconstruct a hologram?
           Explain why or why not.
       8.32 We want to write a hologram into a photorefractive crystal that has a
                               2
           sensitivity of 200 nJ//mi  using an Ar laser with 10 mW output at 488 nm.
           Assume all the laser light can be utilized and focused onto an area of
                      2
           0.5 x 0.5 mm . How long is the required exposure time?
       8.33 Assume that a photorefractive crystal is employed as holographic storage
           that stores a 1000 x 1000 bit pattern for a computer. The stored pattern
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