OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 16 — Aug. 7, 2006
  • pp: 6999–7004

Experimental observation of coincidence fractional Fourier transform with a partially coherent beam

Fei Wang, Yangjian Cai, and Sailing He  »View Author Affiliations


Optics Express, Vol. 14, Issue 16, pp. 6999-7004 (2006)
http://dx.doi.org/10.1364/OE.14.006999


View Full Text Article

Acrobat PDF (532 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The coincidence Fractional Fourier transform (FRT) is implemented with a partially coherent light source experimentally. The visibility and quality of the coincidence FRT pattern of an object are investigated theoretically. The FRT pattern of an object is obtained by measuring the coincidence counting rate between the detected signals passing through two different optical paths. The experimental results are analyzed and found to be consistent with the theoretical results.

© 2006 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms

ToC Category:
Fourier Optics and Optical Signal Processing

History
Original Manuscript: March 27, 2006
Revised Manuscript: June 28, 2006
Manuscript Accepted: July 12, 2006
Published: August 7, 2006

Citation
Fei Wang, Yangjian Cai, and Sailing He, "Experimental observation of coincidence fractional Fourier transform with a partially coherent beam," Opt. Express 14, 6999-7004 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-16-6999


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. V. Namias, "The fractional Fourier transform and its application in quantum mechanics," J. Inst. Math. Its Appl. 25, 241-265 (1980)
  2. A. C. McBride and F. H. Kerr, "On Namia’s fractional Fourier transforms," IMA J. App. Math. 39, 159-175 (1987)
  3. A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993)
  4. D. Mendlovic and H. M. Ozaktas, "Fractional Fourier transforms and their optical implementation: I," J. Opt. Soc. Am. A 10, 1875-1881 (1993)
  5. H. M. Ozaktas and D. Mendlovic, "Fractional Fourier transforms and their optical implementation: II," J. Opt. Soc. Am. A 10, 2522-2531 (1993)
  6. A. W. Lohmann, D. Medlovic, and Z. Zalevsky, "Fractional transformations in optics," in Progress in Optics Vol. XXXVIII, E. Wolf, ed. (Elsevier, Amsterdam, 1998).
  7. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, New York, 2001).
  8. A. Torre, "The fractional Fourier transform and some of its applications to optics," in Progress in Optics Vol. XLIII, E. Wolf, ed. (Elsevier, Amsterdam, 2002).
  9. D. Mendlovic, Z. Zalevsky, R.G. Dorsch, Y. Bitran, A.W. Lohmann, and H. Ozaktas, "New signal representation based on the fractional Fourier transform: definitions," J. Opt. Soc. Am. A 12, 2424-2431 (1995).
  10. S. C. Pei, M.H. Yeh, and T. L. Luo, "Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform," IEEE Trans. Signal Process. 47, 2883-2888 (1999).
  11. B. Zhu, S. Liu, and Q. Ran, "Optical image encryption based on multi-fractional Fourier transforms," Opt. Lett. 25, 1159-1161 (2000).
  12. Y. Zhang, B. Dong, B. Gu, and G. Yang, "Beam shaping in the fractional Fourier transform domain," J. Opt. Soc. Am. A 15, 1114-1120 (1998).
  13. X. Xue, H.Q. Wei, and A. G. Kirk, "Beam analysis by fractional Fourier transform," Opt. Lett. 26, 1746-1748 (2001).
  14. Y. Cai, Q. Lin, and S. Zhu, "Coincidence fractional Fourier transform with entangled photon pairs and incoherent light," Appl. Phy. Lett. 86, 021112 (2005).
  15. Y. Cai and S. Zhu, "Coincidence fractional Fourier transform with partially coherent light radiation," J. Opt. Soc. Am. A 22, 1798-1804 (2005) [CrossRef]
  16. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge, New York, 1995)

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