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      • Department of Electrical and Electronics Engineering
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      Diffraction from a wavelet point of view

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      Author(s)
      Onural, L.
      Date
      1993-06-01
      Source Title
      Optics Letters
      Print ISSN
      0146-9592
      Publisher
      Optical Society of America
      Volume
      18
      Issue
      11
      Pages
      846 - 848
      Language
      English
      Type
      Article
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      Abstract
      The system impulse response representing the Fresnel diffraction is shown to form a wavelet family of functions. The scale parameter of the wavelet family represents the depth (distance). This observation relates the diffraction-holography-related studies and the wavelet theory. The results may be used in various optical applications such as designing robust volume optical elements for optical signal processing and finding new formulations for optical inverse problems. The results also extend the wavelet concept to the nonbandpass family of functions with the implication of new applications in signal processing. The presented wavelet structure, for example, is a tool for space-depth analysis.
      Keywords
      Diffraction
      Fourier transforms
      Signal processing
      Fresnel diffraction
      Space-depth analysis
      Wavelet concept
      Wavelet family of functions
      Diffraction
      Permalink
      http://hdl.handle.net/11693/13602
      Published Version (Please cite this version)
      http://dx.doi.org/10.1364/OL.18.000846
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      • Department of Electrical and Electronics Engineering 4011
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