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      • Department of Electrical and Electronics Engineering
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      Diffraction and holography from a signal processing perspective

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      Author(s)
      Onural, Levent
      Özaktaş, Haldun M.
      Date
      2006
      Source Title
      Proceedings of SPIE Vol. 6252, Holography 2005: International Conference on Holography, Optical Recording, and Processing of Information, SPIE 2005
      Print ISSN
      0277-786X
      Publisher
      SPIE
      Volume
      6252
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
      223
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      206
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      Abstract
      The fact that plane waves are solutions of the Helmholtz equation in free space allows us to write the exact solution to the diffraction problem as a superposition of plane waves. The solution of other related problems can also be expressed in similar forms. These forms are very well suited for directly importing various signal processing tools to diffraction related problems. Another signal processing-diffraction link is the application of novel sampling theorems and procedures in signal processing to diffraction for the purpose of more convenient and efficient discrete representation and the use of associated computational algorithms. Another noteworthy link between optics and signal processing is the fractional Fourier transform. Revisiting diffraction from a modern signal processing perspectiv is likely to yield both interesting viewpoints and improved techniques.
      Keywords
      Diffraction
      Fractional Fourier transform
      Sampling
      Signal processing
      Helmholtz equations
      Plane waves
      Computational methods
      Fourier transforms
      Holography
      Permalink
      http://hdl.handle.net/11693/27225
      Published Version (Please cite this version)
      http://dx.doi.org/10.1117/12.677051
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      • Department of Electrical and Electronics Engineering 3868
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