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438                   8. Information Storage with Optics

       where d is the thickness of the volume hologram. By combining Eqs. (8.5) and
       (8.7), the storage capacity of a volume hologram can be calculated as follows:

                                      2  2
                                     a 1 A  Volume                     ,. )
                                VH              3
                                      d/A      /.
       Referring to Eqs. (8.8) and (8.4), the upper limit of the storage density for a
                        3
       3-D medium is I/A  regardless of whether we record directly the bit pattern
       plane by plane in the 3-D storage or we record and multiplex each individual
       volume hologram. This principle was first formulated by van Heerden in 1963
       [5-6].



       8.3. OPTICAL STORAGE MEDIA


          Prior to discussing the architecture of optical storage, this section overviews
       commonly used materials for optical storage. Only the basic storage mechan-
       ism of each material is discussed in this section.



       8.3.1. PHOTOGRAPHIC FILM

          Photographic, or silver halide film is the most popular medium for storing
       an image. A photographic film or plate is generally composed of a base made
       of transparent acetate film or a glass plate, and a layer of photographic
       emulsion. The emulsion consists of a large number of tiny photosensitive silver
       halide grains which are suspended more or less uniformly in a supporting
       gelatin. When the photographic emulsion is exposed to light, some of the silver
       halide grains absorb optical energy and undergo a complex physical change;
       that is, grains that absorb sufficient light energy are immediately reduced,
       forming silver atoms. The aggregate of silver atoms in the silver halide grain is
       called a development center. The reduction to silver is completed by the
       chemical process of development. Any silver halide grain containing an
       aggregate of at least four silver atoms is entirely reduced to silver during
       development. The grains that have not been exposed or that have not absorbed
       sufficient optical energy will remain unchanged. If the developed film is then
       subjected to a chemical fixing process, the unexposed silver halide grains are
       removed, leaving only the metallic silver particles in the gelatin. These
       remaining metallic grains are largely opaque at optical frequencies, so the
       transmittance of the developed film depends on their density.
          Silver halide emulsions can be used to produce phase as well as amplitude
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