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      Fourier transforms of fractional order and their optical interpretation

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      Author(s)
      Özaktaş, Haldun M.
      Mendlovic, D.
      Date
      1993
      Source Title
      Optics Communications
      Print ISSN
      0030-4018
      Publisher
      Elsevier
      Volume
      101
      Issue
      3-4
      Pages
      163 - 169
      Language
      English
      Type
      Article
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      Abstract
      Fourier transforms of fractional order a are defined in a manner such that the common Fourier transform is a special case with order a=1. An optical interpretation is provided in terms of quadratic graded index media and discussed from both wave and ray viewpoints. Fractional Fourier transforms can extend the range of spatial filtering operations.
      Keywords
      Fourier optics
      Gradient index optics
      Integral equations
      Mathematical models
      Optical filters
      Signal filtering and prediction
      Fractional order
      Quadratic graded index media
      Spatial filtering operations
      Fourier transforms
      Permalink
      http://hdl.handle.net/11693/26038
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/0030-4018(93)90359-D
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      • Department of Electrical and Electronics Engineering 4011
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