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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 34, Iss. 2 — Jan. 15, 2009
  • pp: 154–156

Joint fractional Fourier analysis of wavefront-coding systems

Shane Barwick and Jerome S. Finnigan  »View Author Affiliations


Optics Letters, Vol. 34, Issue 2, pp. 154-156 (2009)
http://dx.doi.org/10.1364/OL.34.000154


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Abstract

The analysis of wavefront-coding systems is explored via the joint fractional Fourier signal representation (JFF) of the pupil function. The properties of the JFF of the pupil function are presented and are shown to be revealing with regard to the system response to defocus. Numerical examples that illustrate the properties are given.

© 2009 Optical Society of America

OCIS Codes
(110.2990) Imaging systems : Image formation theory
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: October 8, 2008
Revised Manuscript: November 21, 2008
Manuscript Accepted: November 26, 2008
Published: January 13, 2009

Citation
Shane Barwick and Jerome S. Finnigan, "Joint fractional Fourier analysis of wavefront-coding systems," Opt. Lett. 34, 154-156 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-2-154


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References

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  4. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).
  5. L. Durak, A. Ozdemir, and O. Arikan, J. Opt. Soc. Am. A 25, 765 (2008). [CrossRef]

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