Skip to main content
Log in

Probing the vortex beams with fractional and integral topological charges using weak random scattering screen

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

By use of the numerical calculation based on the Kirchhoff Green’s integral theorem, we study the intensity distributions of speckle fields behind the weak random scattering screens illuminated by the Laguerre-Gaussian beams. It is found that the profile of bright spot similar to the peacock-feather-like in intensity distributions of speckle field, those bright spots show uniform distribution around the central dark spots, and the number of bright spots is related to the topological charges of the vortex beams. We are able to probe the topological charges of Laguerre-Gaussian beams directly by observing the bright spots in the intensity distributions patterns.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. Allen, M.W. Beijersbergen, R.J.C. Spreeuw, J.P. Woerdman, Phys. Rev. A 45, 8185 (1992)

    Article  ADS  Google Scholar 

  2. E.G. Jenniefer, A.K. Brian, G.G. David, Opt. Commun. 207, 2531 (2002)

    Google Scholar 

  3. O. Otto, C. Gutsche, F. Kremer, U.F. Keyser, Rev. Sci. Instrum. 9, 023710 (2008)

    Article  ADS  Google Scholar 

  4. T.A. Wood, G.S. Roberts, S. Eaimkhong, P. Bartlett, Faraday Discuss. 137, 319 (2007)

    Article  ADS  Google Scholar 

  5. S.H. Tao, X.C. Yuan, J. Lin, X. Peng, H.B. Niu, Opt. Express 20, 7726 (2005)

    Article  ADS  Google Scholar 

  6. G.A. Swartzlander, D.L. Drugan, N. Hallak, M.O. Freeman, C.T. Law, Laser Phys. 5, 704 (1995)

    Google Scholar 

  7. N.B. Simpson, K. Dholakia, L. Allen, M.J. Padgett, Opt. Lett. 22, 52 (1997)

    Article  ADS  Google Scholar 

  8. G.A. Swartzlander, A.M. Deykoon, D.W. Jackson, C.T. Law, Mater. Opt. Limiting II 479, 269 (1998)

    Google Scholar 

  9. L. Kwanil, K. Jong-An, K. Kihwan, W. Chang-Yeon, H.Y. Seung, S. Unyob, X. Xinye, J. Wonho, J. Korean Phys. Soc. 35, 115 (1999)

    Google Scholar 

  10. N.B. Simpson, D. McGloin, K. Dholakia, L. Allen, M.J. Padgett, J. Mod. Opt. 45, 1943 (1998)

    Article  ADS  Google Scholar 

  11. J. Leach, E. Yao, M.J. Padgett, New J. Phys. 6, 71 (2004)

    Article  ADS  Google Scholar 

  12. C.H.J. Schmitz, K. Uhrig, J.P. Spatz, J.E. Curtis, Opt. Express 14, 6604 (2006)

    Article  ADS  Google Scholar 

  13. M. Harris, C.A. Hill, P.R. Tapster, J.M. Vaughan, Phys. Rev. A 49, 3119 (1994)

    Article  ADS  Google Scholar 

  14. J. Leach, M.J. Padgett, S.M. Barnett, S. Franke-Arnold, J. Courtial, Phys. Rev. Lett. 88, 257901 (2002)

    Article  ADS  Google Scholar 

  15. A.G. White, C.P. Smith, N.R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C.O. Weiss, J. Mod. Opt. 38, 2531 (1991)

    Article  ADS  Google Scholar 

  16. Y. Galushko, I. Mokhun, Opt. Appl. XXXVIII, 705 (2008)

    Google Scholar 

  17. G.C.G. Berkhout, M.W. Beijersbergen, Phys. Rev. Lett. 101, 100801 (2008)

    Article  ADS  Google Scholar 

  18. J.M. Hickmann, E.J.S. Fonseca, W.C. Soares, S. Chávez-Cerda, Phys. Rev. Lett. 105, 053904 (2010)

    Article  ADS  Google Scholar 

  19. G.Q. Zhou, Opt. Lett. 31, 17 (2006)

    Article  Google Scholar 

  20. P.S. Liu, Fundamentals of Statistical Optics of Speckles (Science Press, 1987)

  21. X.Y. Chen, Zh.H. Li, H.X. Li, M.N. Zhang, Ch.F. Cheng, Opt. Express 20, 17833 (2012)

    Article  ADS  Google Scholar 

  22. M.V. Berry, J. Opt. A 6, 259 (2004)

    Article  ADS  Google Scholar 

  23. J.A. Ogilvy, Theory of Wave Scattering from Random Rough Surfaces (Hilger, London, 1991)

  24. M. Lee, X.C. Yuan, K. Dholakia, Opt. Commun. 239, 129 (2004)

    Article  ADS  Google Scholar 

  25. A.J. Jesus-Silva, E.J.S. Fonseca, J.M. Hickmann, Opt. Lett. 37, 4552 (2012)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Man Liu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, M. Probing the vortex beams with fractional and integral topological charges using weak random scattering screen. Eur. Phys. J. D 67, 244 (2013). https://doi.org/10.1140/epjd/e2013-40108-4

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2013-40108-4

Keywords

Navigation