OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 28, Iss. 11 — Jun. 1, 2003
  • pp: 884–886

Motion detection, the Wigner distribution function, and the optical fractional Fourier transform

John T. Sheridan, Bryan Hennelly, and Damien Kelly  »View Author Affiliations


Optics Letters, Vol. 28, Issue 11, pp. 884-886 (2003)
http://dx.doi.org/10.1364/OL.28.000884


View Full Text Article

Acrobat PDF (85 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

It is shown that both surface tilting and translational motion can be independently estimated by use of the speckle photographic technique by capturing consecutive images in two different fractional Fourier domains. A geometric interpretation, based on use of the Wigner distribution function, is presented to describe this application of the optical fractional Fourier transform when little prior information is known about the motion.

© 2003 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(120.6150) Instrumentation, measurement, and metrology : Speckle imaging

Citation
John T. Sheridan, Bryan Hennelly, and Damien Kelly, "Motion detection, the Wigner distribution function, and the optical fractional Fourier transform," Opt. Lett. 28, 884-886 (2003)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-28-11-884


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. P. K. Rastogi, in Speckle Metrology, R. S. Sirohi, ed. (Marcel Dekker, New York, 1993), pp. 50–58.
  2. H. Tiziani, Opt. Commun. 5, 271 (1972).
  3. D. Mendlovic and H. M. Ozatkas, J. Opt. Soc. Am. 10, 1875, 2522 (1993).
  4. A. W. Lohmann, J. Opt. Soc. Am. 10, 2181 (1993).
  5. R. G. Dorsch, Appl. Opt. 34, 6016 (1995).
  6. H. M. Ozaktas, Z. Zalevsky, and M. Alper Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, Chicester, UK, 2001).
  7. B. Hennelly and J. T. Sheridan, Opt. Lett. 28, 269 (2003).
  8. J. T. Sheridan and R. Patten, Opt. Lett. 25, 448 (2000).
  9. J. T. Sheridan and R. Patten, Optik (Stuttgart) 111, 329 (2000).
  10. R. Patten, J. T. Sheridan, and A. Larkin, Opt. Eng. 40, 1438 (2001).
  11. A. W. Lohmann, Opt. Commun. 115, 427 (1995).
  12. H. O. Bartelt, K.-H. Brenner, and A. W. Lohmann, Opt. Commun. 32, 32 (1980).
  13. K.-H. Brenner and A. W. Lohmann, Opt. Commun. 42, 310 (1982).
  14. S. Abe and J. T. Sheridan, Opt. Lett. 19, 1801 (1994).
  15. S. Abe and J. T. Sheridan, Opt. Commun. 137, 214 (1997).
  16. S. Abe and J. T. Sheridan, J. Opt. Soc. Am. A 16, 1986 (1999).

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited