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      Every Fourier optical system is equivalent to consecutive fractional-Fourier-domain filtering

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      Author(s)
      Özaktaş, Haldun M.
      Mendlovic, D.
      Date
      1996-06-10
      Source Title
      Applied Optics
      Print ISSN
      1559-128X
      Electronic ISSN
      2155-3165
      Publisher
      Optical Society of America
      Volume
      35
      Issue
      17
      Pages
      3167 - 3170
      Language
      English
      Type
      Article
      Item Usage Stats
      188
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      203
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      Abstract
      We consider optical systems composed of an arbitrary number of lenses and filters, separated by arbitrary distances, under the standard approximations of Fourier optics. We show that every such system is equivalent to (i) consecutive filtering operations in several fractional Fourier domains and (ii) consecutive filtering operations alternately in the space and the frequency domains.
      Keywords
      Fourier optics
      Optical information processing
      Fractional Fourier transform
      Permalink
      http://hdl.handle.net/11693/10835
      Published Version (Please cite this version)
      http://dx.doi.org/10.1364/AO.35.003167
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      • Department of Electrical and Electronics Engineering 4011
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