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      Optimal representation and processing of optical signals in quadratic-phase systems

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      Author
      Arik, S. Ö.
      Haldun M. Özaktaş
      Date
      2016
      Source Title
      Optics Communications
      Print ISSN
      0030-4018
      Publisher
      Elsevier
      Volume
      366
      Pages
      17 - 21
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      Optical fields propagating through quadratic-phase systems (QPSs) can be modeled as magnified fractional Fourier transforms (FRTs) of the input field, provided we observe them on suitably defined spherical reference surfaces. Non-redundant representation of the fields with the minimum number of samples becomes possible by appropriate choice of sample points on these surfaces. Longitudinally, these surfaces should not be spaced equally with the distance of propagation, but with respect to the FRT order. The non-uniform sampling grid that emerges mirrors the fundamental structure of propagation through QPSs. By providing a means to effectively handle the sampling of chirp functions, it allows for accurate and efficient computation of optical fields propagating in QPSs.
      Keywords
      ABCD systems
      Fourier optics
      Fractional Fourier transform
      Linear canonical transform
      Quadratic-phase systems
      Sampling
      Permalink
      http://hdl.handle.net/11693/21813
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.optcom.2015.12.025
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