Synthesis of mutual intensity distributions using the fractional Fourier transform

M. Fatih Erden*, Haldun M. Ozaktas, David Mendlovic

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

Our aim in this paper is to obtain the best synthesis of a desired mutual intensity distribution, by filtering in fractional Fourier domains. More specifically, we find the optimal fractional-domain filter that transforms a given (source) mutual intensity distribution into the desired one as closely as possible (in the minimum mean-square error sense). It is observed that, in some cases, closer approximations to the desired profile can be obtained by filtering in fractional Fourier domains, in comparison to filtering in the ordinary space or frequency domains.

Original languageEnglish
Pages (from-to)288-301
Number of pages14
JournalOptics Communications
Volume125
Issue number4-6
DOIs
StatePublished - 15 Apr 1996

Keywords

  • Fourier optics
  • Fractional Fourier transforms
  • Mutual intensity
  • Statistical optics

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