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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 10, Iss. 9 — Sep. 1, 1993
  • pp: 1875–1881

Fractional Fourier transforms and their optical implementation: I

David Mendlovic and Haldun M. Ozaktas  »View Author Affiliations


JOSA A, Vol. 10, Issue 9, pp. 1875-1881 (1993)
http://dx.doi.org/10.1364/JOSAA.10.001875


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Abstract

Fourier transforms of fractional order a are defined in a manner such that the common Fourier transform is a special case with order a = 1. An optical interpretation is provided in terms of quadratic graded index media and discussed from both wave and ray viewpoints. Several mathematical properties are derived.

© 1993 Optical Society of America

History
Original Manuscript: November 30, 1992
Manuscript Accepted: March 1, 1993
Published: September 1, 1993

Citation
David Mendlovic and Haldun M. Ozaktas, "Fractional Fourier transforms and their optical implementation: I," J. Opt. Soc. Am. A 10, 1875-1881 (1993)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-10-9-1875

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