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      Complex signal recovery from multiple fractional Fourier-transform intensities

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      Author(s)
      Ertosun, M. G.
      Atli, H.
      Özaktaş, Haldun M.
      Barshan, B.
      Date
      2005-08-10
      Source Title
      Applied Optics
      Print ISSN
      0003-6935
      Electronic ISSN
      2155-3165
      Publisher
      Optical Society of America
      Volume
      44
      Issue
      23
      Pages
      4902 - 4908
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      The problem of recovering a complex signal from the magnitudes of any number of its fractional Fourier transforms at any set of fractional orders is addressed. This problem corresponds to the problem of phase retrieval from the transverse intensity profiles of an optical field at arbitrary locations in an optical system involving arbitrary concatenations of lenses and sections of free space. The dependence of the results on the number of orders, their spread, and the noise is investigated. Generally, increasing the number of orders improves the results, but with diminishing return beyond a certain point. Selecting the measurement planes such that their fractional orders are well separated or spread as much as possible also leads to better results.
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      http://hdl.handle.net/11693/11415
      Published Version (Please cite this version)
      https://doi.org/10.1364/AO.44.004902
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