Incoherent fractional Fourier transform and its optical implementation

David Mendlovic, Zeev Zalevsky, Naim Konforti, Rainer G. Dorsch, Adolf W. Lohmann

Research output: Contribution to journalArticlepeer-review


The fractional Fourier transform is redefined for working with incoherent light. As a real transformation, the incoherent fractional Fourier transform overcomes coherent system disadvantages such as the speckle effect and the need for incoherent–coherent conversion. It also might have some applications for digital image and signal processing owing to its decreased computing complexity. An incoherent optical implementation of the new transform based on the shearing interferometer is suggested. Laboratory experimental results are given.

Original languageEnglish
Pages (from-to)7615-7620
Number of pages6
JournalApplied Optics
Issue number32
StatePublished - Nov 1995


  • Cosine transform
  • Fractional Fourier transform
  • Real fractional Fourier transform
  • Shearing interferometer


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