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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 10, Iss. 12 — Dec. 1, 1993
  • pp: 2522–2531

Fractional Fourier transforms and their optical implementation. II

Haldun M. Ozaktas and David Mendlovic  »View Author Affiliations

JOSA A, Vol. 10, Issue 12, pp. 2522-2531 (1993)

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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.

© 1993 Optical Society of America

Original Manuscript: March 1, 1993
Revised Manuscript: June 3, 1993
Manuscript Accepted: June 10, 1993
Published: December 1, 1993

Haldun M. Ozaktas and David Mendlovic, "Fractional Fourier transforms and their optical implementation. II," J. Opt. Soc. Am. A 10, 2522-2531 (1993)

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  1. D. Mendlovic, H. M. Ozaktas, “Fractional Fourier transforms and their optical implementation. I,” J. Opt. Soc. Am. A 10, 1875–1881 (1993). [CrossRef]
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