OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 24, Iss. 7 — Apr. 1, 1999
  • pp: 430–432

Poincaré-sphere equivalent for light beams containing orbital angular momentum

M. J. Padgett and J. Courtial  »View Author Affiliations

Optics Letters, Vol. 24, Issue 7, pp. 430-432 (1999)

View Full Text Article

Acrobat PDF (346 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The polarization state of a light beam is related to its spin angular momentum and can be represented on the Poincaré sphere. We propose a sphere for light beams in analogous orbital angular momentum states. Using the Poincaré-sphere equivalent, we interpret the rotational frequency shift for light beams with orbital angular momentum [Phys. Rev. Lett. 80, 3217 (1998)] as a dynamically evolving geometric phase.

© 1999 Optical Society of America

OCIS Codes
(350.1370) Other areas of optics : Berry's phase

M. J. Padgett and J. Courtial, "Poincaré-sphere equivalent for light beams containing orbital angular momentum," Opt. Lett. 24, 430-432 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
  2. M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, Phys. Rev. A 54, 1593 (1996).
  3. N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Lett. 22, 52 (1997).
  4. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
  5. M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, Opt. Commun. 96, 123 (1993).
  6. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1980).
  7. S. J. van Enk, Opt. Commun. 102, 59 (1993).
  8. R. Simon, H. J. Kimble, and E. C. G. Sundarshan, Phys. Rev. Lett. 61, 19 (1988).
  9. B. A. Garetz and S. Arnold, Opt. Commun. 31, 1 (1979).
  10. J. Courtial, K. Dholakia, D. A. Robertson, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 80, 3217 (1998).

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