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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. 12, Iss. 4 — Apr. 1, 1995
  • pp: 743–751

Fractional Fourier optics

Haldun M. Ozaktas and David Mendlovic  »View Author Affiliations


JOSA A, Vol. 12, Issue 4, pp. 743-751 (1995)
http://dx.doi.org/10.1364/JOSAA.12.000743


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Abstract

There exists a fractional Fourier-transform relation between the amplitude distributions of light on two spherical surfaces of given radii and separation. The propagation of light can be viewed as a process of continual fractional Fourier transformation. As light propagates, its amplitude distribution evolves through fractional transforms of increasing order. This result allows us to pose the fractional Fourier transform as a tool for analyzing and describing optical systems composed of an arbitrary sequence of thin lenses and sections of free space and to arrive at a general class of fractional Fourier-transforming systems with variable input and output scale factors.

© 1995 Optical Society of America

History
Original Manuscript: May 20, 1994
Manuscript Accepted: August 22, 1994
Published: April 1, 1995

Citation
Haldun M. Ozaktas and David Mendlovic, "Fractional Fourier optics," J. Opt. Soc. Am. A 12, 743-751 (1995)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-12-4-743

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