Abstract

We theoretically demonstrate third-order lensless ghost diffraction by using a fully classical incoherent light source in which the light beam is detected by two detectors. The resolution and visibility of the obtained diffraction pattern are discussed. It is shown that the resolution of third-order ghost diffraction is determined by the transverse correlation length in the detection plane, while the visibility is affected by the ratio of the transverse length of the imaged object and the transverse size of the light source. Furthermore, we discuss the similarities and differences of second- and third-order lensless ghost diffraction.

© 2010 Optical Society of America

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  1. R. Hanbury Brown and R. Q. Twiss, Nature 177, 27 (1956).
    [CrossRef]
  2. M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, 1999).
  3. D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, Phys. Rev. Lett. 74, 3600 (1995).
    [CrossRef] [PubMed]
  4. M. Zhang, Q. Wei, X. Shen, Y. Liu, H. Liu, J. Cheng, and S. Han, Phys. Rev. A 75, 021803 (2007).
    [CrossRef]
  5. X.-H. Chen, Q. Liu, K.-H. Luo, and L.-A. Wu, Opt. Lett. 34, 695 (2009).
    [CrossRef] [PubMed]
  6. K. W. C. Chan, M. N. O’Sullivan, and R. W. Boyd, Opt. Lett. 34, 3343 (2009).
    [CrossRef] [PubMed]
  7. Y. Cai, and F. Wang, Opt. Lett. 32, 205 (2007).
    [CrossRef] [PubMed]
  8. X.-H. Chen, Q. Liu, K.-H. Luo, and L.-A. Wu, Opt. Lett. 34, 695 (2009).
    [CrossRef] [PubMed]
  9. Y. Bai, and S. Han, Phys. Rev. A 76, 043828 (2007).
    [CrossRef]
  10. A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, J. Mod. Opt. 53, 739 (2006).
    [CrossRef]
  11. I. N. Agafonov, M. V. Chekhova, T. Sh. Iskhakov, and A. N. Penin, Phys. Rev. A 77, 053801 (2008).
    [CrossRef]
  12. D.-Z. Cao, J. Xiong, S.-H. Zhang, L.-F. Lin, L. Gao, and K. Wang, Appl. Phys. Lett. 92, 201102 (2008).
    [CrossRef]
  13. L.-H. Ou and L.-M. Kuang, J. Phys. B 40 (2007).
    [CrossRef]

2009

2008

I. N. Agafonov, M. V. Chekhova, T. Sh. Iskhakov, and A. N. Penin, Phys. Rev. A 77, 053801 (2008).
[CrossRef]

D.-Z. Cao, J. Xiong, S.-H. Zhang, L.-F. Lin, L. Gao, and K. Wang, Appl. Phys. Lett. 92, 201102 (2008).
[CrossRef]

2007

L.-H. Ou and L.-M. Kuang, J. Phys. B 40 (2007).
[CrossRef]

Y. Cai, and F. Wang, Opt. Lett. 32, 205 (2007).
[CrossRef] [PubMed]

M. Zhang, Q. Wei, X. Shen, Y. Liu, H. Liu, J. Cheng, and S. Han, Phys. Rev. A 75, 021803 (2007).
[CrossRef]

Y. Bai, and S. Han, Phys. Rev. A 76, 043828 (2007).
[CrossRef]

2006

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

1995

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

1956

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

Agafonov, I. N.

I. N. Agafonov, M. V. Chekhova, T. Sh. Iskhakov, and A. N. Penin, Phys. Rev. A 77, 053801 (2008).
[CrossRef]

Bache, M.

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

Bai, Y.

Y. Bai, and S. Han, Phys. Rev. A 76, 043828 (2007).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, 1999).

Boyd, R. W.

Brambilla, E.

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

Cai, Y.

Cao, D.-Z.

D.-Z. Cao, J. Xiong, S.-H. Zhang, L.-F. Lin, L. Gao, and K. Wang, Appl. Phys. Lett. 92, 201102 (2008).
[CrossRef]

Chan, K. W. C.

Chekhova, M. V.

I. N. Agafonov, M. V. Chekhova, T. Sh. Iskhakov, and A. N. Penin, Phys. Rev. A 77, 053801 (2008).
[CrossRef]

Chen, X.-H.

Cheng, J.

M. Zhang, Q. Wei, X. Shen, Y. Liu, H. Liu, J. Cheng, and S. Han, Phys. Rev. A 75, 021803 (2007).
[CrossRef]

Ferri, F.

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

Gao, L.

D.-Z. Cao, J. Xiong, S.-H. Zhang, L.-F. Lin, L. Gao, and K. Wang, Appl. Phys. Lett. 92, 201102 (2008).
[CrossRef]

Gatti, A.

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

Han, S.

M. Zhang, Q. Wei, X. Shen, Y. Liu, H. Liu, J. Cheng, and S. Han, Phys. Rev. A 75, 021803 (2007).
[CrossRef]

Y. Bai, and S. Han, Phys. Rev. A 76, 043828 (2007).
[CrossRef]

Hanbury Brown, R.

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

Iskhakov, T. Sh.

I. N. Agafonov, M. V. Chekhova, T. Sh. Iskhakov, and A. N. Penin, Phys. Rev. A 77, 053801 (2008).
[CrossRef]

Klyshko, D. N.

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

Kuang, L.-M.

L.-H. Ou and L.-M. Kuang, J. Phys. B 40 (2007).
[CrossRef]

Lin, L.-F.

D.-Z. Cao, J. Xiong, S.-H. Zhang, L.-F. Lin, L. Gao, and K. Wang, Appl. Phys. Lett. 92, 201102 (2008).
[CrossRef]

Liu, H.

M. Zhang, Q. Wei, X. Shen, Y. Liu, H. Liu, J. Cheng, and S. Han, Phys. Rev. A 75, 021803 (2007).
[CrossRef]

Liu, Q.

Liu, Y.

M. Zhang, Q. Wei, X. Shen, Y. Liu, H. Liu, J. Cheng, and S. Han, Phys. Rev. A 75, 021803 (2007).
[CrossRef]

Lugiato, L. A.

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

Luo, K.-H.

Magatti, D.

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

O’Sullivan, M. N.

Ou, L.-H.

L.-H. Ou and L.-M. Kuang, J. Phys. B 40 (2007).
[CrossRef]

Penin, A. N.

I. N. Agafonov, M. V. Chekhova, T. Sh. Iskhakov, and A. N. Penin, Phys. Rev. A 77, 053801 (2008).
[CrossRef]

Sergienko, A. V.

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

Shen, X.

M. Zhang, Q. Wei, X. Shen, Y. Liu, H. Liu, J. Cheng, and S. Han, Phys. Rev. A 75, 021803 (2007).
[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]

Strekalov, D. V.

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

Twiss, R. Q.

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

Wang, F.

Wang, K.

D.-Z. Cao, J. Xiong, S.-H. Zhang, L.-F. Lin, L. Gao, and K. Wang, Appl. Phys. Lett. 92, 201102 (2008).
[CrossRef]

Wei, Q.

M. Zhang, Q. Wei, X. Shen, Y. Liu, H. Liu, J. Cheng, and S. Han, Phys. Rev. A 75, 021803 (2007).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, 1999).

Wu, L.-A.

Xiong, J.

D.-Z. Cao, J. Xiong, S.-H. Zhang, L.-F. Lin, L. Gao, and K. Wang, Appl. Phys. Lett. 92, 201102 (2008).
[CrossRef]

Zhang, M.

M. Zhang, Q. Wei, X. Shen, Y. Liu, H. Liu, J. Cheng, and S. Han, Phys. Rev. A 75, 021803 (2007).
[CrossRef]

Zhang, S.-H.

D.-Z. Cao, J. Xiong, S.-H. Zhang, L.-F. Lin, L. Gao, and K. Wang, Appl. Phys. Lett. 92, 201102 (2008).
[CrossRef]

Appl. Phys. Lett.

D.-Z. Cao, J. Xiong, S.-H. Zhang, L.-F. Lin, L. Gao, and K. Wang, Appl. Phys. Lett. 92, 201102 (2008).
[CrossRef]

J. Mod. Opt.

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

J. Phys. B

L.-H. Ou and L.-M. Kuang, J. Phys. B 40 (2007).
[CrossRef]

Nature

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

Opt. Lett.

Phys. Rev. A

M. Zhang, Q. Wei, X. Shen, Y. Liu, H. Liu, J. Cheng, and S. Han, Phys. Rev. A 75, 021803 (2007).
[CrossRef]

Y. Bai, and S. Han, Phys. Rev. A 76, 043828 (2007).
[CrossRef]

I. N. Agafonov, M. V. Chekhova, T. Sh. Iskhakov, and A. N. Penin, Phys. Rev. A 77, 053801 (2008).
[CrossRef]

Phys. Rev. Lett.

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

Other

M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, 1999).

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Figures (4)

Fig. 1
Fig. 1

Schematic of third-order lensless ghost diffraction performed with two detectors. S, incoherent light source; BS, beam splitter; PD i ( i = 1 , 2 , 3 ) , pointlike detectors; O, unknown object, and C.C., correlation calculation.

Fig. 2
Fig. 2

Simulation result of the normalized third-order lensless ghost diffraction performed with two detectors. Curve is normalized by its maximum value.

Fig. 3
Fig. 3

(a)–(c) Simulations of second- and third-order intensity distributions with different transverse correlation length l c when the double slit is removed. l c is 0.1, 0.5, and 1 mm , respectively. All the curves are normalized by their maximum values. (d) Theoretical value of the FWHM of second-order and third-order ghost diffraction changes with l c .

Fig. 4
Fig. 4

(a)–(c) Simulations of second- and third-order ghost diffraction with different k. The ratio k is 0.1, 0.5, and 1, respectively. Other parameters are the same as those in Fig. 2. All the curves are normalized by their maximum values. (d) Dependence of the visibilities of second- and third-order ghost diffraction on the ratio k.

Equations (3)

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g ( 3 ) ( x 1 , x 2 , x 1 ) = 2 + 4 l o l s | ξ 2 t * ( ξ 2 ) × exp [ j 2 π λ z ( x 1 x 2 ) ξ 2 ] d ξ 2 | 2 ,
g ( 3 ) ( x 1 , x 2 , x 1 ) = 2 + 4 k ( sinc [ π ( x 1 x 2 ) w λ z ] cos [ π ( x 1 x 2 ) d λ z ] ) 2 ,
g ( 2 ) ( x 1 , x 2 ) = 1 + k ( sinc [ π ( x 1 x 2 ) w λ z ] cos [ π ( x 1 x 2 ) d λ z ] ) 2 .

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