Fractional fourier transforms and their optical implementation. ii

Haldun M. Ozaktas, David Mendlovic

Research output: Contribution to journalArticlepeer-review


The linear transform kernel for fractional Fourier transforms is derived. The spatial resolution and the space-bandwidth product for propagation in graded-index media are discussed in direct relation to fractional Fourier transforms, and numerical examples are presented. It is shown how fractional Fourier transforms can be made the basis of generalized spatial filtering systems: Several filters are interleaved between several fractional transform stages, thereby increasing the number of degrees of freedom available in filter synthesis.

Original languageEnglish
Pages (from-to)2522-2531
Number of pages10
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number12
StatePublished - Dec 1993


  • Correlation
  • Fourier optics
  • Graded-index media
  • Optical information processing
  • Spatial filtering


Dive into the research topics of 'Fractional fourier transforms and their optical implementation. ii'. Together they form a unique fingerprint.

Cite this