Abstract

We study the intensity correlation properties of optical vortices passing through a rotating ground-glass (RGG) plate and compare them with those of the TEM00 mode of an He–Ne laser beam passed through the same RGG. We have observed that the intensity correlation curves for optical vortices decrease much faster than the corresponding curve for a TEM00 mode of the He–Ne laser. The rate of decay of the correlation increases with the increase of order of the vortices. Our experimentally observed results are supported by exact analytical results.

© 2010 Optical Society of America

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  1. J. F. Nye and M. V. Berry, Proc. R. Soc. Lond. A 336, 165(1974).
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  2. R. Marchiano and J.-L. Thomas, Phys. Rev. Lett. 101, 064301 (2008).
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  3. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
    [CrossRef] [PubMed]
  4. M. S. Soskin and M. V. Vasnetsov, in E.Wolf, ed., Progress in Optics (Elsevier, 2001), pp. 219–276.
    [CrossRef]
  5. M. Padgett and L. Allen, Contemp. Phys. 41, 275 (2000).
    [CrossRef]
  6. G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
    [CrossRef]
  7. G. S. Agarwal and J. Banerji, Opt. Lett. 27, 800 (2002).
    [CrossRef]
  8. D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr., Phys. Rev. Lett. 92, 143905 (2004).
    [CrossRef] [PubMed]
  9. R. P. Singh, S. Roychowdhury, and V. K. Jaiswal, J. Mod. Opt. 53, 1803 (2006).
    [CrossRef]
  10. G. A. Swartzlander, Jr., and J. Schmit, Phys. Rev. Lett. 93, 093901 (2004).
    [CrossRef] [PubMed]
  11. L. E. Estes, L. M. Narducci, and R. A. Tuft, J. Opt. Soc. Am. 61, 1301 (1971).
    [CrossRef]
  12. V. Harwalkar, H. Bohidar, and S. Chopra, Appl. Phys. B 31, 215 (1983).
    [CrossRef]
  13. T. Wang, L. Zhao, L. Jiang, and S. F. Yelin, Phys. Rev. A 77, 043815 (2008).
    [CrossRef]

2008

R. Marchiano and J.-L. Thomas, Phys. Rev. Lett. 101, 064301 (2008).
[CrossRef] [PubMed]

T. Wang, L. Zhao, L. Jiang, and S. F. Yelin, Phys. Rev. A 77, 043815 (2008).
[CrossRef]

2007

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

2006

R. P. Singh, S. Roychowdhury, and V. K. Jaiswal, J. Mod. Opt. 53, 1803 (2006).
[CrossRef]

2004

G. A. Swartzlander, Jr., and J. Schmit, Phys. Rev. Lett. 93, 093901 (2004).
[CrossRef] [PubMed]

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr., Phys. Rev. Lett. 92, 143905 (2004).
[CrossRef] [PubMed]

2002

2000

M. Padgett and L. Allen, Contemp. Phys. 41, 275 (2000).
[CrossRef]

1992

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

1983

V. Harwalkar, H. Bohidar, and S. Chopra, Appl. Phys. B 31, 215 (1983).
[CrossRef]

1974

J. F. Nye and M. V. Berry, Proc. R. Soc. Lond. A 336, 165(1974).
[CrossRef]

1971

Agarwal, G. S.

Allen, L.

M. Padgett and L. Allen, Contemp. Phys. 41, 275 (2000).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Banerji, J.

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Berry, M. V.

J. F. Nye and M. V. Berry, Proc. R. Soc. Lond. A 336, 165(1974).
[CrossRef]

Bohidar, H.

V. Harwalkar, H. Bohidar, and S. Chopra, Appl. Phys. B 31, 215 (1983).
[CrossRef]

Chopra, S.

V. Harwalkar, H. Bohidar, and S. Chopra, Appl. Phys. B 31, 215 (1983).
[CrossRef]

Estes, L. E.

Harwalkar, V.

V. Harwalkar, H. Bohidar, and S. Chopra, Appl. Phys. B 31, 215 (1983).
[CrossRef]

Jaiswal, V. K.

R. P. Singh, S. Roychowdhury, and V. K. Jaiswal, J. Mod. Opt. 53, 1803 (2006).
[CrossRef]

Jiang, L.

T. Wang, L. Zhao, L. Jiang, and S. F. Yelin, Phys. Rev. A 77, 043815 (2008).
[CrossRef]

Maleev, I. D.

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr., Phys. Rev. Lett. 92, 143905 (2004).
[CrossRef] [PubMed]

Marathay, A. S.

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr., Phys. Rev. Lett. 92, 143905 (2004).
[CrossRef] [PubMed]

Marchiano, R.

R. Marchiano and J.-L. Thomas, Phys. Rev. Lett. 101, 064301 (2008).
[CrossRef] [PubMed]

Molina-Terriza, G.

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Narducci, L. M.

Nye, J. F.

J. F. Nye and M. V. Berry, Proc. R. Soc. Lond. A 336, 165(1974).
[CrossRef]

Padgett, M.

M. Padgett and L. Allen, Contemp. Phys. 41, 275 (2000).
[CrossRef]

Palacios, D. M.

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr., Phys. Rev. Lett. 92, 143905 (2004).
[CrossRef] [PubMed]

Roychowdhury, S.

R. P. Singh, S. Roychowdhury, and V. K. Jaiswal, J. Mod. Opt. 53, 1803 (2006).
[CrossRef]

Schmit, J.

G. A. Swartzlander, Jr., and J. Schmit, Phys. Rev. Lett. 93, 093901 (2004).
[CrossRef] [PubMed]

Singh, R. P.

R. P. Singh, S. Roychowdhury, and V. K. Jaiswal, J. Mod. Opt. 53, 1803 (2006).
[CrossRef]

Soskin, M. S.

M. S. Soskin and M. V. Vasnetsov, in E.Wolf, ed., Progress in Optics (Elsevier, 2001), pp. 219–276.
[CrossRef]

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Swartzlander, G. A.

G. A. Swartzlander, Jr., and J. Schmit, Phys. Rev. Lett. 93, 093901 (2004).
[CrossRef] [PubMed]

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr., Phys. Rev. Lett. 92, 143905 (2004).
[CrossRef] [PubMed]

Thomas, J.-L.

R. Marchiano and J.-L. Thomas, Phys. Rev. Lett. 101, 064301 (2008).
[CrossRef] [PubMed]

Torner, L.

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Torres, J. P.

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Tuft, R. A.

Vasnetsov, M. V.

M. S. Soskin and M. V. Vasnetsov, in E.Wolf, ed., Progress in Optics (Elsevier, 2001), pp. 219–276.
[CrossRef]

Wang, T.

T. Wang, L. Zhao, L. Jiang, and S. F. Yelin, Phys. Rev. A 77, 043815 (2008).
[CrossRef]

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Yelin, S. F.

T. Wang, L. Zhao, L. Jiang, and S. F. Yelin, Phys. Rev. A 77, 043815 (2008).
[CrossRef]

Zhao, L.

T. Wang, L. Zhao, L. Jiang, and S. F. Yelin, Phys. Rev. A 77, 043815 (2008).
[CrossRef]

Appl. Phys. B

V. Harwalkar, H. Bohidar, and S. Chopra, Appl. Phys. B 31, 215 (1983).
[CrossRef]

Contemp. Phys.

M. Padgett and L. Allen, Contemp. Phys. 41, 275 (2000).
[CrossRef]

J. Mod. Opt.

R. P. Singh, S. Roychowdhury, and V. K. Jaiswal, J. Mod. Opt. 53, 1803 (2006).
[CrossRef]

J. Opt. Soc. Am.

Nat. Phys.

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Opt. Lett.

Phys. Rev. A

T. Wang, L. Zhao, L. Jiang, and S. F. Yelin, Phys. Rev. A 77, 043815 (2008).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Phys. Rev. Lett.

R. Marchiano and J.-L. Thomas, Phys. Rev. Lett. 101, 064301 (2008).
[CrossRef] [PubMed]

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr., Phys. Rev. Lett. 92, 143905 (2004).
[CrossRef] [PubMed]

G. A. Swartzlander, Jr., and J. Schmit, Phys. Rev. Lett. 93, 093901 (2004).
[CrossRef] [PubMed]

Proc. R. Soc. Lond. A

J. F. Nye and M. V. Berry, Proc. R. Soc. Lond. A 336, 165(1974).
[CrossRef]

Other

M. S. Soskin and M. V. Vasnetsov, in E.Wolf, ed., Progress in Optics (Elsevier, 2001), pp. 219–276.
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

(a) Scattering geometry for the RGG. (b) Experimental setup for intensity correlation experiment (details are given in the text).

Fig. 2
Fig. 2

(a) Experimental results for the normalized intensity correlation function of the scattered TEM 00 mode and scattered optical vortices of orders 1, 4, and 7. (b) Correlation time versus order of the optical vortex (correlation time is the time at which the intensity correlation decays to 1 / e of its peak value).

Fig. 3
Fig. 3

Plot showing analytical results for (a) | g ( 1 ) ( τ ) | 2 and (b) its correlation time.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

E 1 ( u , v ) = E 0 ( u + i v ) m exp [ { 1 w 2 + i k 2 R } ( u 2 + v 2 ) ] ,
E 2 ( x , y ) = i k 2 π B d u d v E 1 ( u , v ) exp [ i k 2 B { A ( u 2 + v 2 ) 2 ( x u + y v ) + D ( x 2 + y 2 ) } ] ,
g ( 1 ) ( τ ) = α ( τ ) / α ( 0 ) = exp [ i k 2 B ( D 1 ) V 2 τ 2 1 2 ( V τ | ζ | w ) 2 ] j = 0 m 1 j ! [ D ζ ( V τ w ) 2 ] j L m j j [ ζ 2 2 ( V τ w ) 2 ] ,

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