Abstract

In this paper, we report an interference experiment in which a spatially incoherent light source illuminates two spatially separated apertures, whose superposition at the same place forms a double-slit. The experimental result exhibits a well-defined interference fringe solely through intensity measurements, in agreement with the theoretical analysis by means of the first-order spatial interference of the incoherent light. Consequently, the nonlocal double-slit interference with thermal light should be attributed to the first-order spatial correlation of incoherent field.

© 2009 OSA

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  1. D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of two-photon “ghost” interference and diffraction,” Phys. Rev. Lett. 74(18), 3600–3603 (1995).
    [CrossRef] [PubMed]
  2. T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, “Optical imaging by means of two-photon quantum entanglement,” Phys. Rev. A 52(5), R3429–R3432 (1995).
    [CrossRef] [PubMed]
  3. E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82(14), 2868–2871 (1999).
    [CrossRef]
  4. A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87(12), 123602 (2001).
    [CrossRef] [PubMed]
  5. E. J. S. Fonseca, P. H. S. Ribeiro, S. Pádua, and C. H. Monken, “Quantum interference by a nonlocal double slit,” Phys. Rev. A 60(2), 1530–1533 (1999).
    [CrossRef]
  6. R. S. Bennink, S. J. Bentley, and R. W. Boyd, ““Two-Photon” coincidence imaging with a classical source,” Phys. Rev. Lett. 89(11), 113601 (2002).
    [CrossRef] [PubMed]
  7. R. S. Bennink, S. J. Bentley, R. W. Boyd, and J. C. Howell, “Quantum and classical coincidence imaging,” Phys. Rev. Lett. 92(3), 033601 (2004).
    [CrossRef] [PubMed]
  8. A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70(1), 013802 (2004).
    [CrossRef]
  9. A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
    [CrossRef] [PubMed]
  10. J. Cheng and S. S. Han, “Incoherent coincidence imaging and its applicability in X-ray diffraction,” Phys. Rev. Lett. 92(9), 093903 (2004).
    [CrossRef] [PubMed]
  11. K. G. Wang and D. Z. Cao, “Subwavelength coincidence interference with classical thermal light,” Phys. Rev. A 70(4), 041801 (2004).
    [CrossRef]
  12. Y. J. Cai and S. Y. Zhu, “Ghost interference with partially coherent radiation,” Opt. Lett. 29(23), 2716–2718 (2004).
    [CrossRef] [PubMed]
  13. F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, “High-resolution ghost image and ghost diffraction experiments with thermal light,” Phys. Rev. Lett. 94(18), 183602 (2005).
    [CrossRef] [PubMed]
  14. D. Z. Cao, J. Xiong, and K. G. Wang, “Geometrical optics in correlated imaging systems,” Phys. Rev. A 71(1), 013801 (2005).
    [CrossRef]
  15. A. Valencia, G. Scarcelli, M. D’Angelo, and Y. H. Shih, “Two-photon imaging with thermal light,” Phys. Rev. Lett. 94(6), 063601 (2005).
    [CrossRef] [PubMed]
  16. J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94(17), 173601 (2005).
    [CrossRef] [PubMed]
  17. D. Zhang, Y. H. Zhai, L. A. Wu, and X. H. Chen, “Correlated two-photon imaging with true thermal light,” Opt. Lett. 30(18), 2354–2356 (2005).
    [CrossRef] [PubMed]
  18. Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4), 043805 (2005).
    [CrossRef]
  19. G. Scarcelli, V. Berardi, and Y. H. Shih, “Phase-conjugate mirror via two-photon thermal light imaging,” Appl. Phys. Lett. 88(6), 061106 (2006).
    [CrossRef]
  20. L. Basano and P. Ottonello, “Experiment in lensless ghost imaging with thermal light,” Appl. Phys. Lett. 89(9), 091109 (2006).
    [CrossRef]
  21. R. Borghi, F. Gori, and M. Santarsiero, “Phase and amplitude retrieval in ghost diffraction from field-correlation measurements,” Phys. Rev. Lett. 96(18), 183901 (2006).
    [CrossRef] [PubMed]
  22. M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, “Coherent imaging of a pure phase object with classical incoherent light,” Phys. Rev. A 73(5), 053802 (2006).
    [CrossRef]
  23. A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53(5-6), 739–760 (2006).
    [CrossRef]
  24. L. Gao, J. Xiong, L. F. Lin, W. Wang, S. H. Zhang, and K. G. Wang, “Interference from nonlocal double-slit with pseudo-thermal light,” Opt. Commun. 281(10), 2838–2841 (2008).
    [CrossRef]
  25. G. Scarcelli, V. Berardi, and Y. H. Shih, “Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?” Phys. Rev. Lett. 96(6), 063602 (2006).
    [CrossRef] [PubMed]
  26. A. Gatti, M. Bondani, L. A. Lugiato, M. G. A. Paris, and C. Fabre, “Comment on ‘can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?’,” Phys. Rev. Lett. 98(3), 039301, discussion 039302 (2007).
    [CrossRef] [PubMed]
  27. S. H. Zhang, L. Gao, J. Xiong, L. J. Feng, D. Z. Cao, and K. G. Wang, “Spatial interference: from coherent to incoherent,” Phys. Rev. Lett. 102(7), 073904 (2009).
    [CrossRef] [PubMed]

2009 (1)

S. H. Zhang, L. Gao, J. Xiong, L. J. Feng, D. Z. Cao, and K. G. Wang, “Spatial interference: from coherent to incoherent,” Phys. Rev. Lett. 102(7), 073904 (2009).
[CrossRef] [PubMed]

2008 (1)

L. Gao, J. Xiong, L. F. Lin, W. Wang, S. H. Zhang, and K. G. Wang, “Interference from nonlocal double-slit with pseudo-thermal light,” Opt. Commun. 281(10), 2838–2841 (2008).
[CrossRef]

2007 (1)

A. Gatti, M. Bondani, L. A. Lugiato, M. G. A. Paris, and C. Fabre, “Comment on ‘can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?’,” Phys. Rev. Lett. 98(3), 039301, discussion 039302 (2007).
[CrossRef] [PubMed]

2006 (6)

G. Scarcelli, V. Berardi, and Y. H. Shih, “Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?” Phys. Rev. Lett. 96(6), 063602 (2006).
[CrossRef] [PubMed]

G. Scarcelli, V. Berardi, and Y. H. Shih, “Phase-conjugate mirror via two-photon thermal light imaging,” Appl. Phys. Lett. 88(6), 061106 (2006).
[CrossRef]

L. Basano and P. Ottonello, “Experiment in lensless ghost imaging with thermal light,” Appl. Phys. Lett. 89(9), 091109 (2006).
[CrossRef]

R. Borghi, F. Gori, and M. Santarsiero, “Phase and amplitude retrieval in ghost diffraction from field-correlation measurements,” Phys. Rev. Lett. 96(18), 183901 (2006).
[CrossRef] [PubMed]

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, “Coherent imaging of a pure phase object with classical incoherent light,” Phys. Rev. A 73(5), 053802 (2006).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53(5-6), 739–760 (2006).
[CrossRef]

2005 (6)

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, “High-resolution ghost image and ghost diffraction experiments with thermal light,” Phys. Rev. Lett. 94(18), 183602 (2005).
[CrossRef] [PubMed]

D. Z. Cao, J. Xiong, and K. G. Wang, “Geometrical optics in correlated imaging systems,” Phys. Rev. A 71(1), 013801 (2005).
[CrossRef]

A. Valencia, G. Scarcelli, M. D’Angelo, and Y. H. Shih, “Two-photon imaging with thermal light,” Phys. Rev. Lett. 94(6), 063601 (2005).
[CrossRef] [PubMed]

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94(17), 173601 (2005).
[CrossRef] [PubMed]

D. Zhang, Y. H. Zhai, L. A. Wu, and X. H. Chen, “Correlated two-photon imaging with true thermal light,” Opt. Lett. 30(18), 2354–2356 (2005).
[CrossRef] [PubMed]

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4), 043805 (2005).
[CrossRef]

2004 (6)

R. S. Bennink, S. J. Bentley, R. W. Boyd, and J. C. Howell, “Quantum and classical coincidence imaging,” Phys. Rev. Lett. 92(3), 033601 (2004).
[CrossRef] [PubMed]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70(1), 013802 (2004).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[CrossRef] [PubMed]

J. Cheng and S. S. Han, “Incoherent coincidence imaging and its applicability in X-ray diffraction,” Phys. Rev. Lett. 92(9), 093903 (2004).
[CrossRef] [PubMed]

K. G. Wang and D. Z. Cao, “Subwavelength coincidence interference with classical thermal light,” Phys. Rev. A 70(4), 041801 (2004).
[CrossRef]

Y. J. Cai and S. Y. Zhu, “Ghost interference with partially coherent radiation,” Opt. Lett. 29(23), 2716–2718 (2004).
[CrossRef] [PubMed]

2002 (1)

R. S. Bennink, S. J. Bentley, and R. W. Boyd, ““Two-Photon” coincidence imaging with a classical source,” Phys. Rev. Lett. 89(11), 113601 (2002).
[CrossRef] [PubMed]

2001 (1)

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87(12), 123602 (2001).
[CrossRef] [PubMed]

1999 (2)

E. J. S. Fonseca, P. H. S. Ribeiro, S. Pádua, and C. H. Monken, “Quantum interference by a nonlocal double slit,” Phys. Rev. A 60(2), 1530–1533 (1999).
[CrossRef]

E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82(14), 2868–2871 (1999).
[CrossRef]

1995 (2)

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of two-photon “ghost” interference and diffraction,” Phys. Rev. Lett. 74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, “Optical imaging by means of two-photon quantum entanglement,” Phys. Rev. A 52(5), R3429–R3432 (1995).
[CrossRef] [PubMed]

Abouraddy, A. F.

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87(12), 123602 (2001).
[CrossRef] [PubMed]

Bache, M.

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, “Coherent imaging of a pure phase object with classical incoherent light,” Phys. Rev. A 73(5), 053802 (2006).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53(5-6), 739–760 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, “High-resolution ghost image and ghost diffraction experiments with thermal light,” Phys. Rev. Lett. 94(18), 183602 (2005).
[CrossRef] [PubMed]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70(1), 013802 (2004).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[CrossRef] [PubMed]

Basano, L.

L. Basano and P. Ottonello, “Experiment in lensless ghost imaging with thermal light,” Appl. Phys. Lett. 89(9), 091109 (2006).
[CrossRef]

Bennink, R. S.

R. S. Bennink, S. J. Bentley, R. W. Boyd, and J. C. Howell, “Quantum and classical coincidence imaging,” Phys. Rev. Lett. 92(3), 033601 (2004).
[CrossRef] [PubMed]

R. S. Bennink, S. J. Bentley, and R. W. Boyd, ““Two-Photon” coincidence imaging with a classical source,” Phys. Rev. Lett. 89(11), 113601 (2002).
[CrossRef] [PubMed]

Bentley, S. J.

R. S. Bennink, S. J. Bentley, R. W. Boyd, and J. C. Howell, “Quantum and classical coincidence imaging,” Phys. Rev. Lett. 92(3), 033601 (2004).
[CrossRef] [PubMed]

R. S. Bennink, S. J. Bentley, and R. W. Boyd, ““Two-Photon” coincidence imaging with a classical source,” Phys. Rev. Lett. 89(11), 113601 (2002).
[CrossRef] [PubMed]

Berardi, V.

G. Scarcelli, V. Berardi, and Y. H. Shih, “Phase-conjugate mirror via two-photon thermal light imaging,” Appl. Phys. Lett. 88(6), 061106 (2006).
[CrossRef]

G. Scarcelli, V. Berardi, and Y. H. Shih, “Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?” Phys. Rev. Lett. 96(6), 063602 (2006).
[CrossRef] [PubMed]

Bondani, M.

A. Gatti, M. Bondani, L. A. Lugiato, M. G. A. Paris, and C. Fabre, “Comment on ‘can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?’,” Phys. Rev. Lett. 98(3), 039301, discussion 039302 (2007).
[CrossRef] [PubMed]

Borghi, R.

R. Borghi, F. Gori, and M. Santarsiero, “Phase and amplitude retrieval in ghost diffraction from field-correlation measurements,” Phys. Rev. Lett. 96(18), 183901 (2006).
[CrossRef] [PubMed]

Boyd, R. W.

R. S. Bennink, S. J. Bentley, R. W. Boyd, and J. C. Howell, “Quantum and classical coincidence imaging,” Phys. Rev. Lett. 92(3), 033601 (2004).
[CrossRef] [PubMed]

R. S. Bennink, S. J. Bentley, and R. W. Boyd, ““Two-Photon” coincidence imaging with a classical source,” Phys. Rev. Lett. 89(11), 113601 (2002).
[CrossRef] [PubMed]

Brambilla, E.

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53(5-6), 739–760 (2006).
[CrossRef]

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, “Coherent imaging of a pure phase object with classical incoherent light,” Phys. Rev. A 73(5), 053802 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, “High-resolution ghost image and ghost diffraction experiments with thermal light,” Phys. Rev. Lett. 94(18), 183602 (2005).
[CrossRef] [PubMed]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[CrossRef] [PubMed]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70(1), 013802 (2004).
[CrossRef]

Cai, Y. J.

Cao, D. Z.

S. H. Zhang, L. Gao, J. Xiong, L. J. Feng, D. Z. Cao, and K. G. Wang, “Spatial interference: from coherent to incoherent,” Phys. Rev. Lett. 102(7), 073904 (2009).
[CrossRef] [PubMed]

D. Z. Cao, J. Xiong, and K. G. Wang, “Geometrical optics in correlated imaging systems,” Phys. Rev. A 71(1), 013801 (2005).
[CrossRef]

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94(17), 173601 (2005).
[CrossRef] [PubMed]

K. G. Wang and D. Z. Cao, “Subwavelength coincidence interference with classical thermal light,” Phys. Rev. A 70(4), 041801 (2004).
[CrossRef]

Chen, X. H.

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4), 043805 (2005).
[CrossRef]

D. Zhang, Y. H. Zhai, L. A. Wu, and X. H. Chen, “Correlated two-photon imaging with true thermal light,” Opt. Lett. 30(18), 2354–2356 (2005).
[CrossRef] [PubMed]

Cheng, J.

J. Cheng and S. S. Han, “Incoherent coincidence imaging and its applicability in X-ray diffraction,” Phys. Rev. Lett. 92(9), 093903 (2004).
[CrossRef] [PubMed]

D’Angelo, M.

A. Valencia, G. Scarcelli, M. D’Angelo, and Y. H. Shih, “Two-photon imaging with thermal light,” Phys. Rev. Lett. 94(6), 063601 (2005).
[CrossRef] [PubMed]

Fabre, C.

A. Gatti, M. Bondani, L. A. Lugiato, M. G. A. Paris, and C. Fabre, “Comment on ‘can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?’,” Phys. Rev. Lett. 98(3), 039301, discussion 039302 (2007).
[CrossRef] [PubMed]

Feng, L. J.

S. H. Zhang, L. Gao, J. Xiong, L. J. Feng, D. Z. Cao, and K. G. Wang, “Spatial interference: from coherent to incoherent,” Phys. Rev. Lett. 102(7), 073904 (2009).
[CrossRef] [PubMed]

Ferri, F.

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, “Coherent imaging of a pure phase object with classical incoherent light,” Phys. Rev. A 73(5), 053802 (2006).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53(5-6), 739–760 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, “High-resolution ghost image and ghost diffraction experiments with thermal light,” Phys. Rev. Lett. 94(18), 183602 (2005).
[CrossRef] [PubMed]

Fonseca, E. J. S.

E. J. S. Fonseca, P. H. S. Ribeiro, S. Pádua, and C. H. Monken, “Quantum interference by a nonlocal double slit,” Phys. Rev. A 60(2), 1530–1533 (1999).
[CrossRef]

E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82(14), 2868–2871 (1999).
[CrossRef]

Gao, L.

S. H. Zhang, L. Gao, J. Xiong, L. J. Feng, D. Z. Cao, and K. G. Wang, “Spatial interference: from coherent to incoherent,” Phys. Rev. Lett. 102(7), 073904 (2009).
[CrossRef] [PubMed]

L. Gao, J. Xiong, L. F. Lin, W. Wang, S. H. Zhang, and K. G. Wang, “Interference from nonlocal double-slit with pseudo-thermal light,” Opt. Commun. 281(10), 2838–2841 (2008).
[CrossRef]

Gatti, A.

A. Gatti, M. Bondani, L. A. Lugiato, M. G. A. Paris, and C. Fabre, “Comment on ‘can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?’,” Phys. Rev. Lett. 98(3), 039301, discussion 039302 (2007).
[CrossRef] [PubMed]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53(5-6), 739–760 (2006).
[CrossRef]

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, “Coherent imaging of a pure phase object with classical incoherent light,” Phys. Rev. A 73(5), 053802 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, “High-resolution ghost image and ghost diffraction experiments with thermal light,” Phys. Rev. Lett. 94(18), 183602 (2005).
[CrossRef] [PubMed]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[CrossRef] [PubMed]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70(1), 013802 (2004).
[CrossRef]

Gori, F.

R. Borghi, F. Gori, and M. Santarsiero, “Phase and amplitude retrieval in ghost diffraction from field-correlation measurements,” Phys. Rev. Lett. 96(18), 183901 (2006).
[CrossRef] [PubMed]

Han, S. S.

J. Cheng and S. S. Han, “Incoherent coincidence imaging and its applicability in X-ray diffraction,” Phys. Rev. Lett. 92(9), 093903 (2004).
[CrossRef] [PubMed]

Howell, J. C.

R. S. Bennink, S. J. Bentley, R. W. Boyd, and J. C. Howell, “Quantum and classical coincidence imaging,” Phys. Rev. Lett. 92(3), 033601 (2004).
[CrossRef] [PubMed]

Huang, F.

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94(17), 173601 (2005).
[CrossRef] [PubMed]

Klyshko, D. N.

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of two-photon “ghost” interference and diffraction,” Phys. Rev. Lett. 74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

Li, H. G.

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94(17), 173601 (2005).
[CrossRef] [PubMed]

Lin, L. F.

L. Gao, J. Xiong, L. F. Lin, W. Wang, S. H. Zhang, and K. G. Wang, “Interference from nonlocal double-slit with pseudo-thermal light,” Opt. Commun. 281(10), 2838–2841 (2008).
[CrossRef]

Lugiato, L. A.

A. Gatti, M. Bondani, L. A. Lugiato, M. G. A. Paris, and C. Fabre, “Comment on ‘can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?’,” Phys. Rev. Lett. 98(3), 039301, discussion 039302 (2007).
[CrossRef] [PubMed]

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, “Coherent imaging of a pure phase object with classical incoherent light,” Phys. Rev. A 73(5), 053802 (2006).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53(5-6), 739–760 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, “High-resolution ghost image and ghost diffraction experiments with thermal light,” Phys. Rev. Lett. 94(18), 183602 (2005).
[CrossRef] [PubMed]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[CrossRef] [PubMed]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70(1), 013802 (2004).
[CrossRef]

Magatti, D.

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53(5-6), 739–760 (2006).
[CrossRef]

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, “Coherent imaging of a pure phase object with classical incoherent light,” Phys. Rev. A 73(5), 053802 (2006).
[CrossRef]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, “High-resolution ghost image and ghost diffraction experiments with thermal light,” Phys. Rev. Lett. 94(18), 183602 (2005).
[CrossRef] [PubMed]

Monken, C. H.

E. J. S. Fonseca, P. H. S. Ribeiro, S. Pádua, and C. H. Monken, “Quantum interference by a nonlocal double slit,” Phys. Rev. A 60(2), 1530–1533 (1999).
[CrossRef]

E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82(14), 2868–2871 (1999).
[CrossRef]

Ottonello, P.

L. Basano and P. Ottonello, “Experiment in lensless ghost imaging with thermal light,” Appl. Phys. Lett. 89(9), 091109 (2006).
[CrossRef]

Pádua, S.

E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82(14), 2868–2871 (1999).
[CrossRef]

E. J. S. Fonseca, P. H. S. Ribeiro, S. Pádua, and C. H. Monken, “Quantum interference by a nonlocal double slit,” Phys. Rev. A 60(2), 1530–1533 (1999).
[CrossRef]

Paris, M. G. A.

A. Gatti, M. Bondani, L. A. Lugiato, M. G. A. Paris, and C. Fabre, “Comment on ‘can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?’,” Phys. Rev. Lett. 98(3), 039301, discussion 039302 (2007).
[CrossRef] [PubMed]

Pittman, T. B.

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, “Optical imaging by means of two-photon quantum entanglement,” Phys. Rev. A 52(5), R3429–R3432 (1995).
[CrossRef] [PubMed]

Ribeiro, P. H. S.

E. J. S. Fonseca, P. H. S. Ribeiro, S. Pádua, and C. H. Monken, “Quantum interference by a nonlocal double slit,” Phys. Rev. A 60(2), 1530–1533 (1999).
[CrossRef]

Saleh, B. E. A.

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87(12), 123602 (2001).
[CrossRef] [PubMed]

Santarsiero, M.

R. Borghi, F. Gori, and M. Santarsiero, “Phase and amplitude retrieval in ghost diffraction from field-correlation measurements,” Phys. Rev. Lett. 96(18), 183901 (2006).
[CrossRef] [PubMed]

Scarcelli, G.

G. Scarcelli, V. Berardi, and Y. H. Shih, “Phase-conjugate mirror via two-photon thermal light imaging,” Appl. Phys. Lett. 88(6), 061106 (2006).
[CrossRef]

G. Scarcelli, V. Berardi, and Y. H. Shih, “Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?” Phys. Rev. Lett. 96(6), 063602 (2006).
[CrossRef] [PubMed]

A. Valencia, G. Scarcelli, M. D’Angelo, and Y. H. Shih, “Two-photon imaging with thermal light,” Phys. Rev. Lett. 94(6), 063601 (2005).
[CrossRef] [PubMed]

Sergienko, A. V.

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87(12), 123602 (2001).
[CrossRef] [PubMed]

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, “Optical imaging by means of two-photon quantum entanglement,” Phys. Rev. A 52(5), R3429–R3432 (1995).
[CrossRef] [PubMed]

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of two-photon “ghost” interference and diffraction,” Phys. Rev. Lett. 74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

Shih, Y. H.

G. Scarcelli, V. Berardi, and Y. H. Shih, “Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?” Phys. Rev. Lett. 96(6), 063602 (2006).
[CrossRef] [PubMed]

G. Scarcelli, V. Berardi, and Y. H. Shih, “Phase-conjugate mirror via two-photon thermal light imaging,” Appl. Phys. Lett. 88(6), 061106 (2006).
[CrossRef]

A. Valencia, G. Scarcelli, M. D’Angelo, and Y. H. Shih, “Two-photon imaging with thermal light,” Phys. Rev. Lett. 94(6), 063601 (2005).
[CrossRef] [PubMed]

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of two-photon “ghost” interference and diffraction,” Phys. Rev. Lett. 74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, “Optical imaging by means of two-photon quantum entanglement,” Phys. Rev. A 52(5), R3429–R3432 (1995).
[CrossRef] [PubMed]

Strekalov, D. V.

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, “Optical imaging by means of two-photon quantum entanglement,” Phys. Rev. A 52(5), R3429–R3432 (1995).
[CrossRef] [PubMed]

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of two-photon “ghost” interference and diffraction,” Phys. Rev. Lett. 74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

Sun, X. J.

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94(17), 173601 (2005).
[CrossRef] [PubMed]

Teich, M. C.

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87(12), 123602 (2001).
[CrossRef] [PubMed]

Valencia, A.

A. Valencia, G. Scarcelli, M. D’Angelo, and Y. H. Shih, “Two-photon imaging with thermal light,” Phys. Rev. Lett. 94(6), 063601 (2005).
[CrossRef] [PubMed]

Wang, K. G.

S. H. Zhang, L. Gao, J. Xiong, L. J. Feng, D. Z. Cao, and K. G. Wang, “Spatial interference: from coherent to incoherent,” Phys. Rev. Lett. 102(7), 073904 (2009).
[CrossRef] [PubMed]

L. Gao, J. Xiong, L. F. Lin, W. Wang, S. H. Zhang, and K. G. Wang, “Interference from nonlocal double-slit with pseudo-thermal light,” Opt. Commun. 281(10), 2838–2841 (2008).
[CrossRef]

D. Z. Cao, J. Xiong, and K. G. Wang, “Geometrical optics in correlated imaging systems,” Phys. Rev. A 71(1), 013801 (2005).
[CrossRef]

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94(17), 173601 (2005).
[CrossRef] [PubMed]

K. G. Wang and D. Z. Cao, “Subwavelength coincidence interference with classical thermal light,” Phys. Rev. A 70(4), 041801 (2004).
[CrossRef]

Wang, W.

L. Gao, J. Xiong, L. F. Lin, W. Wang, S. H. Zhang, and K. G. Wang, “Interference from nonlocal double-slit with pseudo-thermal light,” Opt. Commun. 281(10), 2838–2841 (2008).
[CrossRef]

Wu, L. A.

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4), 043805 (2005).
[CrossRef]

D. Zhang, Y. H. Zhai, L. A. Wu, and X. H. Chen, “Correlated two-photon imaging with true thermal light,” Opt. Lett. 30(18), 2354–2356 (2005).
[CrossRef] [PubMed]

Xiong, J.

S. H. Zhang, L. Gao, J. Xiong, L. J. Feng, D. Z. Cao, and K. G. Wang, “Spatial interference: from coherent to incoherent,” Phys. Rev. Lett. 102(7), 073904 (2009).
[CrossRef] [PubMed]

L. Gao, J. Xiong, L. F. Lin, W. Wang, S. H. Zhang, and K. G. Wang, “Interference from nonlocal double-slit with pseudo-thermal light,” Opt. Commun. 281(10), 2838–2841 (2008).
[CrossRef]

D. Z. Cao, J. Xiong, and K. G. Wang, “Geometrical optics in correlated imaging systems,” Phys. Rev. A 71(1), 013801 (2005).
[CrossRef]

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94(17), 173601 (2005).
[CrossRef] [PubMed]

Zhai, Y. H.

D. Zhang, Y. H. Zhai, L. A. Wu, and X. H. Chen, “Correlated two-photon imaging with true thermal light,” Opt. Lett. 30(18), 2354–2356 (2005).
[CrossRef] [PubMed]

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4), 043805 (2005).
[CrossRef]

Zhang, D.

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4), 043805 (2005).
[CrossRef]

D. Zhang, Y. H. Zhai, L. A. Wu, and X. H. Chen, “Correlated two-photon imaging with true thermal light,” Opt. Lett. 30(18), 2354–2356 (2005).
[CrossRef] [PubMed]

Zhang, S. H.

S. H. Zhang, L. Gao, J. Xiong, L. J. Feng, D. Z. Cao, and K. G. Wang, “Spatial interference: from coherent to incoherent,” Phys. Rev. Lett. 102(7), 073904 (2009).
[CrossRef] [PubMed]

L. Gao, J. Xiong, L. F. Lin, W. Wang, S. H. Zhang, and K. G. Wang, “Interference from nonlocal double-slit with pseudo-thermal light,” Opt. Commun. 281(10), 2838–2841 (2008).
[CrossRef]

Zhu, S. Y.

Appl. Phys. Lett. (2)

G. Scarcelli, V. Berardi, and Y. H. Shih, “Phase-conjugate mirror via two-photon thermal light imaging,” Appl. Phys. Lett. 88(6), 061106 (2006).
[CrossRef]

L. Basano and P. Ottonello, “Experiment in lensless ghost imaging with thermal light,” Appl. Phys. Lett. 89(9), 091109 (2006).
[CrossRef]

J. Mod. Opt. (1)

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. A. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53(5-6), 739–760 (2006).
[CrossRef]

Opt. Commun. (1)

L. Gao, J. Xiong, L. F. Lin, W. Wang, S. H. Zhang, and K. G. Wang, “Interference from nonlocal double-slit with pseudo-thermal light,” Opt. Commun. 281(10), 2838–2841 (2008).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (7)

D. Z. Cao, J. Xiong, and K. G. Wang, “Geometrical optics in correlated imaging systems,” Phys. Rev. A 71(1), 013801 (2005).
[CrossRef]

Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4), 043805 (2005).
[CrossRef]

T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, “Optical imaging by means of two-photon quantum entanglement,” Phys. Rev. A 52(5), R3429–R3432 (1995).
[CrossRef] [PubMed]

E. J. S. Fonseca, P. H. S. Ribeiro, S. Pádua, and C. H. Monken, “Quantum interference by a nonlocal double slit,” Phys. Rev. A 60(2), 1530–1533 (1999).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70(1), 013802 (2004).
[CrossRef]

K. G. Wang and D. Z. Cao, “Subwavelength coincidence interference with classical thermal light,” Phys. Rev. A 70(4), 041801 (2004).
[CrossRef]

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, “Coherent imaging of a pure phase object with classical incoherent light,” Phys. Rev. A 73(5), 053802 (2006).
[CrossRef]

Phys. Rev. Lett. (14)

G. Scarcelli, V. Berardi, and Y. H. Shih, “Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?” Phys. Rev. Lett. 96(6), 063602 (2006).
[CrossRef] [PubMed]

A. Gatti, M. Bondani, L. A. Lugiato, M. G. A. Paris, and C. Fabre, “Comment on ‘can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?’,” Phys. Rev. Lett. 98(3), 039301, discussion 039302 (2007).
[CrossRef] [PubMed]

S. H. Zhang, L. Gao, J. Xiong, L. J. Feng, D. Z. Cao, and K. G. Wang, “Spatial interference: from coherent to incoherent,” Phys. Rev. Lett. 102(7), 073904 (2009).
[CrossRef] [PubMed]

D. V. Strekalov, A. V. Sergienko, D. N. Klyshko, and Y. H. Shih, “Observation of two-photon “ghost” interference and diffraction,” Phys. Rev. Lett. 74(18), 3600–3603 (1995).
[CrossRef] [PubMed]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93(9), 093602 (2004).
[CrossRef] [PubMed]

J. Cheng and S. S. Han, “Incoherent coincidence imaging and its applicability in X-ray diffraction,” Phys. Rev. Lett. 92(9), 093903 (2004).
[CrossRef] [PubMed]

R. S. Bennink, S. J. Bentley, and R. W. Boyd, ““Two-Photon” coincidence imaging with a classical source,” Phys. Rev. Lett. 89(11), 113601 (2002).
[CrossRef] [PubMed]

R. S. Bennink, S. J. Bentley, R. W. Boyd, and J. C. Howell, “Quantum and classical coincidence imaging,” Phys. Rev. Lett. 92(3), 033601 (2004).
[CrossRef] [PubMed]

E. J. S. Fonseca, C. H. Monken, and S. Pádua, “Measurement of the de Broglie wavelength of a multiphoton wave packet,” Phys. Rev. Lett. 82(14), 2868–2871 (1999).
[CrossRef]

A. F. Abouraddy, B. E. A. Saleh, A. V. Sergienko, and M. C. Teich, “Role of entanglement in two-photon imaging,” Phys. Rev. Lett. 87(12), 123602 (2001).
[CrossRef] [PubMed]

R. Borghi, F. Gori, and M. Santarsiero, “Phase and amplitude retrieval in ghost diffraction from field-correlation measurements,” Phys. Rev. Lett. 96(18), 183901 (2006).
[CrossRef] [PubMed]

A. Valencia, G. Scarcelli, M. D’Angelo, and Y. H. Shih, “Two-photon imaging with thermal light,” Phys. Rev. Lett. 94(6), 063601 (2005).
[CrossRef] [PubMed]

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. G. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94(17), 173601 (2005).
[CrossRef] [PubMed]

F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, “High-resolution ghost image and ghost diffraction experiments with thermal light,” Phys. Rev. Lett. 94(18), 183602 (2005).
[CrossRef] [PubMed]

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Figures (6)

Fig. 1
Fig. 1

Experimental scheme of an unbalanced interferometer using an incoherent light source. The interferometer is formed by two mirrors, M1 and M2, and two beamsplitters, BS1 and BS2. Polarizer P1 and Glan prism P2 are used for modulating the light intensity, and G is a rotating ground glass disk. Lens L is inserted into the middle of path 2, where A2 and CCD camera are located at the two focal planes of lens L.

Fig. 2
Fig. 2

Experimentally observed interference patterns in the scheme of Fig. 1. (a) and (b) are interference patterns (averaged over 2000 frames) registered by CCD1 and CCD2, respectively; (c) and (d) are their difference and summation, respectively.

Fig. 3
Fig. 3

Same as in Fig. 2 but with a Na lamp replacing the pseudo-thermal light source in the scheme of Fig. 1.

Fig. 4
Fig. 4

Same as in Fig. 2 but the ground glass disk is removed in the scheme of Fig. 1.

Fig. 5
Fig. 5

One-dimensional interference patterns corresponding to that of Fig. 2. Experimental data and theoretical simulation are given by open circles and solid lines, respectively.

Fig. 6
Fig. 6

One-dimensional interference patterns corresponding to that of Fig. 4. Experimental data and theoretical simulation are given by open circles and solid lines, respectively. The spot size of the laser beam is taken as σ = 0.8 mm.

Equations (7)

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

E j ( x ) = h j ( x , x 0 ) E s ( x 0 ) d x 0 ,
h 1 ( x , x 0 ) = k 2 π i z 0 z 1 exp [ i k ( z 0 + z 1 ) ] A 1 ( x 1 ) exp [ i k 2 z 0 ( x 1 x 0 ) 2 + i k 2 z 1 ( x x 1 ) 2 ] d x 1 ,
h 2 ( x , x 0 ) = k 2 π i z 0 f exp [ i k ( z 0 + 2 f ) ] A 2 ( x 2 ) exp [ i k 2 z 0 ( x 2 x 0 ) 2 i k f x x 2 ] d x 2 .
E i ( x 1 ) E j ( x 2 ) h i ( x 1 , x 0 ) h j ( x 2 , x 0 ) E s ( x 0 ) E s ( x 0 ) d x 0 d x 0 .
I 1 , 2 ( x ) = E 1 ( x ) E 1 ( x ) + E 2 ( x ) E 2 ( x ) ± [ E 1 ( x ) E 2 ( x ) + c .c . ] ,
E 1 ( x ) E 2 ( x ) I s h 1 ( x , x 0 ) h 2 ( x , x 0 ) d x 0 = I s k 2 2 π f exp [ i k x 2 4 f ] A 1 ( x 1 ) A 2 ( x 1 ) exp [ i k x 1 2 4 f i k x x 1 2 f ] d x 1 [ I s k / ( 2 π f ) ] exp [ i k x 2 / ( 4 f ) ] D ˜ [ k x / ( 2 f ) ] ,
E i ( x 1 ) E j ( x 2 ) h i ( x 1 , x 0 ) E s ( x 0 ) d x 0 × h j ( x 2 , x 0 ) E s ( x 0 ) d x 0 .

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