Optical fractional correlation:Experimental results

David Mendlovic, Yigal Bitran, Rainer G. Dorsch, Adolf W. Lohmann

Research output: Contribution to journalArticlepeer-review


Recently a new mathematical tool, the fractional Fourier transform (FRT) was introduced into the optical field [J. Opt. Soc. Am. A 10, 1875 and 2521 (1993)]. So far, theoretical investigations have been done in order to prove the potential of the FRT operations. On the basis of the FRT operation, the conventional correlator has been generalized through definition of the fractional correlation (FC) operation. We demonstrate the experimental evaluation of the FC operation. Because of the shift-variance property of the FRT, FC makes shift-variant object recognition possible. The laboratory experiments are supplemented by computer simula­tions, and a reasonable agreement between the results is demonstrated.

Original languageEnglish
Pages (from-to)1665-1670
Number of pages6
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number8
StatePublished - Aug 1995


  • Correlation
  • Fourier optics
  • Fractional Fourier transform


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