Abstract

Ghost interference is experimentally investigated by varying the pseudothermal light source’s transverse size and coherence width. Our results show that by increasing the transverse size of the source the quality of the interference pattern is improved, while the visibility is reduced. On the other hand, by increasing the coherence width of the source, the visibility of the interference pattern is improved, while the quality is reduced. These experimental results corroborate previous theoretical results.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. H. S. Ribeiro, S. Padua, J. C. M. da Silva, and G. A. Barbosa, Phys. Rev. A 49, 4176 (1994).
    [CrossRef] [PubMed]
  2. D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, Phys. Rev. Lett. 74, 3600 (1995).
    [CrossRef] [PubMed]
  3. A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 8712, 123602 (2001).
    [CrossRef]
  4. G. Scarcelli, A. Valencia, and Y. Shih, Europhys. Lett. 68, 618 (2004).
    [CrossRef]
  5. F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, Phys. Rev. Lett. 94, 183602 (2005).
    [CrossRef] [PubMed]
  6. J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, Phys. Rev. Lett. 94, 173601 (2005).
    [CrossRef] [PubMed]
  7. Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, Phys. Rev. A 72, 043805 (2005).
    [CrossRef]
  8. A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. 53, 739 (2006).
    [CrossRef]
  9. M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
    [CrossRef]
  10. E. J. S. Fonseca, P. H. S. Ribeiro, S. Padua, and C. H. Monken, Phys. Rev. A 60, 1530 (1999).
    [CrossRef]
  11. I. Vidal, D. P. Caetano, E. J. S. Fonseca, and J. M. Hickmann, Europhys. Lett. 82, 34004 (2008).
    [CrossRef]
  12. G. Scarcelli, A. Valencia, and Y. Shih, Phys. Rev. A 70, 051802 (2004).
    [CrossRef]
  13. R. H. Brown and R. Q. Twiss, Nature 177, 27 (1956).
    [CrossRef]
  14. R. H. Brown and R. Q. Twiss, Nature 178, 1447 (1956).
    [CrossRef]
  15. R. Q. Twiss and R. H. Brown, Nature 179, 1128 (1957).
    [CrossRef]
  16. Y. J. Cai and S. Y. Zhu, Opt. Lett. 29, 2716 (2004).
    [CrossRef] [PubMed]
  17. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995), pp. xxvi.
  18. W. Martienssen and E. Spiller, Am. J. Phys. 32, 919 (1964).
    [CrossRef]
  19. V=[(Imax−Imin)]/[(Imax+Imin)] is a standard definition for the visibility of an interference pattern obtained in the second-order correlation function, where Imax and Imin correspond to the maximum and minimum values of the correlation function, respectively. This definition can also be applied to the fourth-order correlation function.

2008 (1)

I. Vidal, D. P. Caetano, E. J. S. Fonseca, and J. M. Hickmann, Europhys. Lett. 82, 34004 (2008).
[CrossRef]

2006 (2)

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. 53, 739 (2006).
[CrossRef]

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

2005 (3)

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, Phys. Rev. Lett. 94, 183602 (2005).
[CrossRef] [PubMed]

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, Phys. Rev. Lett. 94, 173601 (2005).
[CrossRef] [PubMed]

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, Phys. Rev. A 72, 043805 (2005).
[CrossRef]

2004 (3)

G. Scarcelli, A. Valencia, and Y. Shih, Europhys. Lett. 68, 618 (2004).
[CrossRef]

G. Scarcelli, A. Valencia, and Y. Shih, Phys. Rev. A 70, 051802 (2004).
[CrossRef]

Y. J. Cai and S. Y. Zhu, Opt. Lett. 29, 2716 (2004).
[CrossRef] [PubMed]

2001 (1)

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 8712, 123602 (2001).
[CrossRef]

1999 (1)

E. J. S. Fonseca, P. H. S. Ribeiro, S. Padua, and C. H. Monken, Phys. Rev. A 60, 1530 (1999).
[CrossRef]

1995 (1)

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, Phys. Rev. Lett. 74, 3600 (1995).
[CrossRef] [PubMed]

1994 (1)

P. H. S. Ribeiro, S. Padua, J. C. M. da Silva, and G. A. Barbosa, Phys. Rev. A 49, 4176 (1994).
[CrossRef] [PubMed]

1964 (1)

W. Martienssen and E. Spiller, Am. J. Phys. 32, 919 (1964).
[CrossRef]

1957 (1)

R. Q. Twiss and R. H. Brown, Nature 179, 1128 (1957).
[CrossRef]

1956 (2)

R. H. Brown and R. Q. Twiss, Nature 177, 27 (1956).
[CrossRef]

R. H. Brown and R. Q. Twiss, Nature 178, 1447 (1956).
[CrossRef]

Abouraddy, A. F.

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 8712, 123602 (2001).
[CrossRef]

Bache, M.

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. 53, 739 (2006).
[CrossRef]

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, Phys. Rev. Lett. 94, 183602 (2005).
[CrossRef] [PubMed]

Barbosa, G. A.

P. H. S. Ribeiro, S. Padua, J. C. M. da Silva, and G. A. Barbosa, Phys. Rev. A 49, 4176 (1994).
[CrossRef] [PubMed]

Brambilla, E.

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. 53, 739 (2006).
[CrossRef]

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, Phys. Rev. Lett. 94, 183602 (2005).
[CrossRef] [PubMed]

Brown, R. H.

R. Q. Twiss and R. H. Brown, Nature 179, 1128 (1957).
[CrossRef]

R. H. Brown and R. Q. Twiss, Nature 178, 1447 (1956).
[CrossRef]

R. H. Brown and R. Q. Twiss, Nature 177, 27 (1956).
[CrossRef]

Caetano, D. P.

I. Vidal, D. P. Caetano, E. J. S. Fonseca, and J. M. Hickmann, Europhys. Lett. 82, 34004 (2008).
[CrossRef]

Cai, Y. J.

Cao, D. Z.

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, Phys. Rev. Lett. 94, 173601 (2005).
[CrossRef] [PubMed]

Chen, X. H.

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, Phys. Rev. A 72, 043805 (2005).
[CrossRef]

da Silva, J. C. M.

P. H. S. Ribeiro, S. Padua, J. C. M. da Silva, and G. A. Barbosa, Phys. Rev. A 49, 4176 (1994).
[CrossRef] [PubMed]

Ferri, F.

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. 53, 739 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, Phys. Rev. Lett. 94, 183602 (2005).
[CrossRef] [PubMed]

Fonseca, E. J. S.

I. Vidal, D. P. Caetano, E. J. S. Fonseca, and J. M. Hickmann, Europhys. Lett. 82, 34004 (2008).
[CrossRef]

E. J. S. Fonseca, P. H. S. Ribeiro, S. Padua, and C. H. Monken, Phys. Rev. A 60, 1530 (1999).
[CrossRef]

Gatti, A.

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. 53, 739 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, Phys. Rev. Lett. 94, 183602 (2005).
[CrossRef] [PubMed]

Hickmann, J. M.

I. Vidal, D. P. Caetano, E. J. S. Fonseca, and J. M. Hickmann, Europhys. Lett. 82, 34004 (2008).
[CrossRef]

Huang, F.

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, Phys. Rev. Lett. 94, 173601 (2005).
[CrossRef] [PubMed]

Klyshko, D. N.

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, Phys. Rev. Lett. 74, 3600 (1995).
[CrossRef] [PubMed]

Li, H. G.

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, Phys. Rev. Lett. 94, 173601 (2005).
[CrossRef] [PubMed]

Lugiato, L. A.

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. 53, 739 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, Phys. Rev. Lett. 94, 183602 (2005).
[CrossRef] [PubMed]

Magatti, D.

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. 53, 739 (2006).
[CrossRef]

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, Phys. Rev. Lett. 94, 183602 (2005).
[CrossRef] [PubMed]

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995), pp. xxvi.

Martienssen, W.

W. Martienssen and E. Spiller, Am. J. Phys. 32, 919 (1964).
[CrossRef]

Monken, C. H.

E. J. S. Fonseca, P. H. S. Ribeiro, S. Padua, and C. H. Monken, Phys. Rev. A 60, 1530 (1999).
[CrossRef]

Padua, S.

E. J. S. Fonseca, P. H. S. Ribeiro, S. Padua, and C. H. Monken, Phys. Rev. A 60, 1530 (1999).
[CrossRef]

P. H. S. Ribeiro, S. Padua, J. C. M. da Silva, and G. A. Barbosa, Phys. Rev. A 49, 4176 (1994).
[CrossRef] [PubMed]

Ribeiro, P. H. S.

E. J. S. Fonseca, P. H. S. Ribeiro, S. Padua, and C. H. Monken, Phys. Rev. A 60, 1530 (1999).
[CrossRef]

P. H. S. Ribeiro, S. Padua, J. C. M. da Silva, and G. A. Barbosa, Phys. Rev. A 49, 4176 (1994).
[CrossRef] [PubMed]

Saleh, B. E. A.

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 8712, 123602 (2001).
[CrossRef]

Scarcelli, G.

G. Scarcelli, A. Valencia, and Y. Shih, Europhys. Lett. 68, 618 (2004).
[CrossRef]

G. Scarcelli, A. Valencia, and Y. Shih, Phys. Rev. A 70, 051802 (2004).
[CrossRef]

Sergienko, A. V.

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 8712, 123602 (2001).
[CrossRef]

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, Phys. Rev. Lett. 74, 3600 (1995).
[CrossRef] [PubMed]

Shih, Y.

G. Scarcelli, A. Valencia, and Y. Shih, Europhys. Lett. 68, 618 (2004).
[CrossRef]

G. Scarcelli, A. Valencia, and Y. Shih, Phys. Rev. A 70, 051802 (2004).
[CrossRef]

Shih, Y. H.

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, Phys. Rev. Lett. 74, 3600 (1995).
[CrossRef] [PubMed]

Spiller, E.

W. Martienssen and E. Spiller, Am. J. Phys. 32, 919 (1964).
[CrossRef]

Strekalov, D. V.

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, Phys. Rev. Lett. 74, 3600 (1995).
[CrossRef] [PubMed]

Sun, X. J.

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, Phys. Rev. Lett. 94, 173601 (2005).
[CrossRef] [PubMed]

Teich, M. C.

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 8712, 123602 (2001).
[CrossRef]

Twiss, R. Q.

R. Q. Twiss and R. H. Brown, Nature 179, 1128 (1957).
[CrossRef]

R. H. Brown and R. Q. Twiss, Nature 177, 27 (1956).
[CrossRef]

R. H. Brown and R. Q. Twiss, Nature 178, 1447 (1956).
[CrossRef]

Valencia, A.

G. Scarcelli, A. Valencia, and Y. Shih, Phys. Rev. A 70, 051802 (2004).
[CrossRef]

G. Scarcelli, A. Valencia, and Y. Shih, Europhys. Lett. 68, 618 (2004).
[CrossRef]

Vidal, I.

I. Vidal, D. P. Caetano, E. J. S. Fonseca, and J. M. Hickmann, Europhys. Lett. 82, 34004 (2008).
[CrossRef]

Wang, K. G.

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, Phys. Rev. Lett. 94, 173601 (2005).
[CrossRef] [PubMed]

Wolf, E.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995), pp. xxvi.

Wu, L. A.

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, Phys. Rev. A 72, 043805 (2005).
[CrossRef]

Xiong, J.

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, Phys. Rev. Lett. 94, 173601 (2005).
[CrossRef] [PubMed]

Zhai, Y. H.

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, Phys. Rev. A 72, 043805 (2005).
[CrossRef]

Zhang, D.

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, Phys. Rev. A 72, 043805 (2005).
[CrossRef]

Zhu, S. Y.

Am. J. Phys. (1)

W. Martienssen and E. Spiller, Am. J. Phys. 32, 919 (1964).
[CrossRef]

Europhys. Lett. (2)

G. Scarcelli, A. Valencia, and Y. Shih, Europhys. Lett. 68, 618 (2004).
[CrossRef]

I. Vidal, D. P. Caetano, E. J. S. Fonseca, and J. M. Hickmann, Europhys. Lett. 82, 34004 (2008).
[CrossRef]

J. Mod. Opt. (1)

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. 53, 739 (2006).
[CrossRef]

Nature (3)

R. H. Brown and R. Q. Twiss, Nature 177, 27 (1956).
[CrossRef]

R. H. Brown and R. Q. Twiss, Nature 178, 1447 (1956).
[CrossRef]

R. Q. Twiss and R. H. Brown, Nature 179, 1128 (1957).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (5)

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, Phys. Rev. A 72, 043805 (2005).
[CrossRef]

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

E. J. S. Fonseca, P. H. S. Ribeiro, S. Padua, and C. H. Monken, Phys. Rev. A 60, 1530 (1999).
[CrossRef]

G. Scarcelli, A. Valencia, and Y. Shih, Phys. Rev. A 70, 051802 (2004).
[CrossRef]

P. H. S. Ribeiro, S. Padua, J. C. M. da Silva, and G. A. Barbosa, Phys. Rev. A 49, 4176 (1994).
[CrossRef] [PubMed]

Phys. Rev. Lett. (4)

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, Phys. Rev. Lett. 74, 3600 (1995).
[CrossRef] [PubMed]

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, Phys. Rev. Lett. 8712, 123602 (2001).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, Phys. Rev. Lett. 94, 183602 (2005).
[CrossRef] [PubMed]

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, Phys. Rev. Lett. 94, 173601 (2005).
[CrossRef] [PubMed]

Other (2)

V=[(Imax−Imin)]/[(Imax+Imin)] is a standard definition for the visibility of an interference pattern obtained in the second-order correlation function, where Imax and Imin correspond to the maximum and minimum values of the correlation function, respectively. This definition can also be applied to the fourth-order correlation function.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995), pp. xxvi.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Experimental setup: S, pseudothermal light source; M 1 and M 2 , mirrors; DS, a double slit with a 148 μ m slit width and a slit separation equal to 324 μ m .

Fig. 2
Fig. 2

Normalized intensity correlation for different pseudothermal light source’s (a) transverse size and (b) coherence width: In (a) σ g = 29.5 μ m , (b) σ I = 3.56 mm . The solid curves are theoretical curves based on the theory from [16].

Fig. 3
Fig. 3

Visibility of the intensity correlation as a function of the normalized coherence width. The solid curve is a theoretical curve based on the theory from [16].

Equations (4)

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

G ( 2 ) ( u 1 , u 2 ) = E ( u 1 ) E ( u 2 ) E * ( u 1 ) E * ( u 2 ) = I ( u 1 ) I ( u 2 ) + Γ ( u 1 , u 2 ) 2 ,
Γ ( u 1 , u 2 ) = + + E ( x 1 ) E * ( x 2 ) h ( x 1 , u 1 ) h * ( x 2 , u 2 ) d x 1 d x 2 ,
E ( x 1 ) E * ( x 2 ) = G 0 exp [ x 1 2 + x 2 2 4 σ I 2 ( x 1 x 2 ) 2 2 σ g 2 ] .
V = Γ max ( u 1 = 0 , u 2 ) 2 G max ( 2 ) ( u 1 = 0 , u 2 ) ,

Metrics