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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. 17, Iss. 12 — Dec. 1, 2000
  • pp: 2330–2338

Fractionalization of the linear cyclic transforms

T. Alieva and M. L. Calvo  »View Author Affiliations


JOSA A, Vol. 17, Issue 12, pp. 2330-2338 (2000)
http://dx.doi.org/10.1364/JOSAA.17.002330


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Abstract

In this study the general algorithm for the fractionalization of the linear cyclic integral transforms is established. It is shown that there are an infinite number of continuous fractional transforms related to a given cyclic integral transform. The main properties of the fractional transforms used in optics are considered. As an example, two different types of fractional Hartley transform are introduced, and the experimental setups for their optical implementation are proposed.

© 2000 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.6020) Fourier optics and signal processing : Continuous optical signal processing

History
Original Manuscript: February 22, 2000
Revised Manuscript: June 21, 2000
Manuscript Accepted: June 23, 2000
Published: December 1, 2000

Citation
T. Alieva and M. L. Calvo, "Fractionalization of the linear cyclic transforms," J. Opt. Soc. Am. A 17, 2330-2338 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-12-2330


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References

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