OSA's Digital Library

Optics Letters

Optics Letters


  • 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)

View Full Text Article

Enhanced HTML    Acrobat PDF (178 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

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

Shane Barwick and Jerome S. Finnigan, "Joint fractional Fourier analysis of wavefront-coding systems," Opt. Lett. 34, 154-156 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. E. Dowski and W. Cathey, Appl. Phys. Lett. 34, 1859 (1995).
  2. G. E. Johnson, P. Silveira, and E. Dowski, Proc. SPIE 5817, 34 (2005). [CrossRef]
  3. Q. Yang, L. Liu, J. Sun, Y. Zhu, and W. Lu, Appl. Opt. 45, 8586 (2006). [CrossRef] [PubMed]
  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]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited