Abstract

Lensless ghost imaging (LGI) with thermal light requires an equal length between the test and reference arms. When this condition is not met, the image becomes blurred. Here we propose an experimental scheme of LGI where the lengths of the two arms are not equal. Our experiment shows that when a glass rod is inserted into a longer arm, the clear image can be formed in the intensity correlation measurement of the two arms. The theoretical analysis can well explain the experimental results. The unbalanced LGI may provide an alternative scheme in practical application.

© 2014 Optical Society of America

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  1. R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Two-photon coincidence imaging with a classical source,” Phys. Rev. Lett. 89, 113601 (2002).
    [CrossRef]
  2. R. S. Bennink, S. J. Bentley, R. W. Boyd, and J. C. Howell, “Quantum and Classical Coincidence imaging,” Phys. Rev. Lett. 92, 033601 (2004).
    [CrossRef]
  3. A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70, 013802 (2004).
    [CrossRef]
  4. A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: comparing entanglement and classical correlation,” Phys. Rev. Lett. 93, 093602 (2004).
    [CrossRef]
  5. J. Cheng and Sh. Han, “Incoherent coincidence imaging and its applicability in x-ray diffraction,” Phys. Rev. Lett. 92, 093903 (2004).
    [CrossRef]
  6. K. Wang and D. Z. Cao, “Subwavelength coincidence interference with classical thermal light,” Phys. Rev. A 70, 041801(R) (2004).
    [CrossRef]
  7. Y. Cai and S. Y. Zhu, “Ghost interference with partially coherent radiation,” Opt. Lett. 29, 2716 (2004).
    [CrossRef]
  8. D. Z. Cao, J. Xiong, and K. Wang, “Geometrical optics in correlated imaging systems,” Phys. Rev. A 71, 013801 (2005).
    [CrossRef]
  9. A. Valencia, G. Scarcelli, M. D’Angelo, and Y. Shih, “Two-photon imaging with thermal light,” Phys. Rev. Lett. 94, 063601 (2005).
    [CrossRef]
  10. 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, 183602 (2005).
    [CrossRef]
  11. J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94, 173601 (2005).
    [CrossRef]
  12. D. Zhang, Y. H. Zhai, L. A. Wu, and X. H. Chen, “Correlated two-photon imaging with true thermal light,” Opt. Lett. 30, 2354 (2005).
    [CrossRef]
  13. Y. H. Zhai, X. H. Chen, D. Zhang, and L. A. Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72, 043805 (2005).
    [CrossRef]
  14. R. Borghi, F. Gori, and M. Santarsiero, “Phase and amplitude retrieval in ghost diffraction from field-correlation measurements,” Phys. Rev. Lett. 96, 183901 (2006).
    [CrossRef]
  15. 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, 053802 (2006).
    [CrossRef]
  16. A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53, 739 (2006).
    [CrossRef]
  17. G. Scarcellia, V. Berardi, and Y. Shih, “Phase-conjugate mirror via two-photon thermal light imaging,” Appl. Phys. Lett. 88, 061106 (2006).
    [CrossRef]
  18. L. Basano and P. Ottonello, “Experiment in lensless ghost imaging with thermal light,” Appl. Phys. Lett. 89, 091109 (2006).
    [CrossRef]
  19. L. Gao, J. Xiong, L. F. Lin, W. Wang, S. H. Zhang, and K. Wang, “Interference from nonlocal double-slit with pseudo-thermal light,” Opt. Commun. 281, 2838–2841 (2008).
    [CrossRef]
  20. F. Ferri, D. Magatti, V. G. Sala, and A. Gatti, “Longitudinal coherence in thermal ghost imaging,” Appl. Phys. Lett. 92, 261109 (2008).
    [CrossRef]
  21. H. L. Liu and S. S. Han, “Spatial longitudinal coherence length of a thermal source and its influence on lensless ghost imaging,” Opt. Lett. 33, 824–826 (2008).
    [CrossRef]
  22. In the original papers of [20] and [21], the authors defined “longitudinal coherence” and “longitudinal coherence length,” respectively. But this denomination could be confused with the other quantity which is attributed to the coherence time multiplied by light velocity. It should be noted that the former concerns the width of the intensity correlation function while the latter concerns the disappearance of the intensity correlation.
  23. X. F. Liu, X. R. Yao, X. H. Chen, L. A. Wu, and G. J. Zhai, “Thermal light optical coherence tomography for transmissive objects,” J. Opt. Soc. Am. A 29, 1922 (2012).
    [CrossRef]
  24. H. Ch. Liu, D. S. Guan, L. Li, S. H. Zhang, and J. Xiong, “The impact of light polarization on imaging visibility of Nth-order intensity correlation with thermal light,” Opt. Commun. 283, 405–408 (2010).
    [CrossRef]
  25. S. H. Zhang, S. Gan, D. Zh. Cao, J. Xiong, X. D. Zhang, and K. Wang, “Phase-reversal diffraction in incoherent light,” Phys. Rev. A 80, 031805(R) (2009).
    [CrossRef]

2012 (1)

2010 (1)

H. Ch. Liu, D. S. Guan, L. Li, S. H. Zhang, and J. Xiong, “The impact of light polarization on imaging visibility of Nth-order intensity correlation with thermal light,” Opt. Commun. 283, 405–408 (2010).
[CrossRef]

2009 (1)

S. H. Zhang, S. Gan, D. Zh. Cao, J. Xiong, X. D. Zhang, and K. Wang, “Phase-reversal diffraction in incoherent light,” Phys. Rev. A 80, 031805(R) (2009).
[CrossRef]

2008 (3)

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

F. Ferri, D. Magatti, V. G. Sala, and A. Gatti, “Longitudinal coherence in thermal ghost imaging,” Appl. Phys. Lett. 92, 261109 (2008).
[CrossRef]

H. L. Liu and S. S. Han, “Spatial longitudinal coherence length of a thermal source and its influence on lensless ghost imaging,” Opt. Lett. 33, 824–826 (2008).
[CrossRef]

2006 (5)

R. Borghi, F. Gori, and M. Santarsiero, “Phase and amplitude retrieval in ghost diffraction from field-correlation measurements,” Phys. Rev. Lett. 96, 183901 (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, 053802 (2006).
[CrossRef]

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

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

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

2005 (6)

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

A. Valencia, G. Scarcelli, M. D’Angelo, and Y. Shih, “Two-photon imaging with thermal light,” Phys. Rev. Lett. 94, 063601 (2005).
[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, 183602 (2005).
[CrossRef]

J. Xiong, D. Z. Cao, F. Huang, H. G. Li, X. J. Sun, and K. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94, 173601 (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, 2354 (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, 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, 033601 (2004).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70, 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, 093602 (2004).
[CrossRef]

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

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

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

2002 (1)

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

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, 053802 (2006).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53, 739 (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, 183602 (2005).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70, 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, 093602 (2004).
[CrossRef]

Basano, L.

L. Basano and P. Ottonello, “Experiment in lensless ghost imaging with thermal light,” Appl. Phys. Lett. 89, 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, 033601 (2004).
[CrossRef]

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

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, 033601 (2004).
[CrossRef]

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

Berardi, V.

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

Borghi, R.

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

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, 033601 (2004).
[CrossRef]

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

Brambilla, E.

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, 053802 (2006).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53, 739 (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, 183602 (2005).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70, 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, 093602 (2004).
[CrossRef]

Cai, Y.

Cao, D. Z.

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

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

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

Cao, D. Zh.

S. H. Zhang, S. Gan, D. Zh. Cao, J. Xiong, X. D. Zhang, and K. Wang, “Phase-reversal diffraction in incoherent light,” Phys. Rev. A 80, 031805(R) (2009).
[CrossRef]

Chen, X. H.

Cheng, J.

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

D’Angelo, M.

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

Ferri, F.

F. Ferri, D. Magatti, V. G. Sala, and A. Gatti, “Longitudinal coherence in thermal ghost imaging,” Appl. Phys. Lett. 92, 261109 (2008).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53, 739 (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, 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, 183602 (2005).
[CrossRef]

Gan, S.

S. H. Zhang, S. Gan, D. Zh. Cao, J. Xiong, X. D. Zhang, and K. Wang, “Phase-reversal diffraction in incoherent light,” Phys. Rev. A 80, 031805(R) (2009).
[CrossRef]

Gao, L.

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

Gatti, A.

F. Ferri, D. Magatti, V. G. Sala, and A. Gatti, “Longitudinal coherence in thermal ghost imaging,” Appl. Phys. Lett. 92, 261109 (2008).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53, 739 (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, 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, 183602 (2005).
[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, 093602 (2004).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Correlated imaging, quantum and classical,” Phys. Rev. A 70, 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, 183901 (2006).
[CrossRef]

Guan, D. S.

H. Ch. Liu, D. S. Guan, L. Li, S. H. Zhang, and J. Xiong, “The impact of light polarization on imaging visibility of Nth-order intensity correlation with thermal light,” Opt. Commun. 283, 405–408 (2010).
[CrossRef]

Han, S. S.

Han, Sh.

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

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, 033601 (2004).
[CrossRef]

Huang, F.

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

Li, H. G.

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

Li, L.

H. Ch. Liu, D. S. Guan, L. Li, S. H. Zhang, and J. Xiong, “The impact of light polarization on imaging visibility of Nth-order intensity correlation with thermal light,” Opt. Commun. 283, 405–408 (2010).
[CrossRef]

Lin, L. F.

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

Liu, H. Ch.

H. Ch. Liu, D. S. Guan, L. Li, S. H. Zhang, and J. Xiong, “The impact of light polarization on imaging visibility of Nth-order intensity correlation with thermal light,” Opt. Commun. 283, 405–408 (2010).
[CrossRef]

Liu, H. L.

Liu, X. F.

Lugiato, L.

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

Lugiato, L. A.

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, 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, 183602 (2005).
[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, 093602 (2004).
[CrossRef]

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

Magatti, D.

F. Ferri, D. Magatti, V. G. Sala, and A. Gatti, “Longitudinal coherence in thermal ghost imaging,” Appl. Phys. Lett. 92, 261109 (2008).
[CrossRef]

A. Gatti, M. Bache, D. Magatti, E. Brambilla, F. Ferri, and L. Lugiato, “Coherent imaging with pseudo-thermal incoherent light,” J. Mod. Opt. 53, 739 (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, 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, 183602 (2005).
[CrossRef]

Ottonello, P.

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

Sala, V. G.

F. Ferri, D. Magatti, V. G. Sala, and A. Gatti, “Longitudinal coherence in thermal ghost imaging,” Appl. Phys. Lett. 92, 261109 (2008).
[CrossRef]

Santarsiero, M.

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

Scarcelli, G.

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

Scarcellia, G.

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

Shih, Y.

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

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

Sun, X. J.

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

Valencia, A.

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

Wang, K.

S. H. Zhang, S. Gan, D. Zh. Cao, J. Xiong, X. D. Zhang, and K. Wang, “Phase-reversal diffraction in incoherent light,” Phys. Rev. A 80, 031805(R) (2009).
[CrossRef]

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

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

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

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

Wang, W.

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

Wu, L. A.

Xiong, J.

H. Ch. Liu, D. S. Guan, L. Li, S. H. Zhang, and J. Xiong, “The impact of light polarization on imaging visibility of Nth-order intensity correlation with thermal light,” Opt. Commun. 283, 405–408 (2010).
[CrossRef]

S. H. Zhang, S. Gan, D. Zh. Cao, J. Xiong, X. D. Zhang, and K. Wang, “Phase-reversal diffraction in incoherent light,” Phys. Rev. A 80, 031805(R) (2009).
[CrossRef]

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

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

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

Yao, X. R.

Zhai, G. J.

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, 2354 (2005).
[CrossRef]

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Other (1)

In the original papers of [20] and [21], the authors defined “longitudinal coherence” and “longitudinal coherence length,” respectively. But this denomination could be confused with the other quantity which is attributed to the coherence time multiplied by light velocity. It should be noted that the former concerns the width of the intensity correlation function while the latter concerns the disappearance of the intensity correlation.

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Figures (4)

Fig. 1.
Fig. 1.

Experimental setups of LGI schemes. (a) Lengths of the two arms are equal. (b) Lengths of the two arms are not equal. (c) Lengths of the two arms are not equal, and a glass rod is inserted into the longer arm. M, reflective mirror; P1 and P2, polarizers; P3, diaphragm; G, ground glass; N, lens; BS, 50/50 nonpolarizing beam splitter; D1 and D2, CCDs; T, transmissive object; L, K95 cylindrical glass rod; C, correlation computation.

Fig. 2.
Fig. 2.

Experimental results of HBT curves and contours of the normalized second-order field correlation functions by scanning detector D2 and fixing detector D1. The circles are the experimental results, and the solid lines are the theoretical simulation. (a), (b), and (c) are obtained in the experimental setups of Figs. 1(a), 1(b), and 1(c), respectively.

Fig. 3.
Fig. 3.

Speckle patterns observed in the experiments. (a) Speckle pattern recorded by D1 in the object arm; (b), (c), and (d) are speckle patterns recorded by D2 in the reference arm for the experimental setups of Figs. 1(a), 1(b), and 1(c), respectively.

Fig. 4.
Fig. 4.

Experimental results of ghost imaging for the object of acronym CUGB: (a), (b), and (c) are the images in the experimental setups of Figs. 1(a), 1(b), and 1(c), respectively. Statistical averages are taken over 10,000 frames.

Equations (14)

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I1(x1)I2(x2)=E1*(x1)E2*(x2)E2(x2)E1(x1)=I1(x1)I2(x2)+|E1*(x1)E2(x2)|2,
Ei*(xi)Ej(xj)=hi*(xi,x0)hj(xj,x0)S˜(x0x0)dx0dx0,(i,j=1,2),
h1(x1,x0)=k2πd1exp[iπ4+ikd1+ik(x1x0)22d1]T(x1)
h2(x2,x0)=k2πd2exp[iπ4+ikd2+ik(x2x0)22d2].
I1(x1)I2(x2)=S02k24π2d1d2|T(x1)|2
E1*(x1)E2(x2)=S0k2πd1d2exp[ik(d2d1)]T*(x1)×exp[ik(x2x0)22d2ik(x1x0)22d1]dx0.
E1*(x1)E2(x2)=S0k2π(d1d2)exp[ik(d2d1)+iπ4]T*(x1)×exp[ik(x1x2)22(d2d1)],
E1*(x1)E2(x2)=S0T*(x1)δ(x1x2)whend2=d1.
|E1*(x1)E2(x2)|2dx1=S02k2π|d1d2||T(x1)|2dx1=Const.
|E1*(x1)E2(x2)|2dx1=S02|T(x2)|2.
h2(x2,x0)=h2c(2)(x2,x)h2c(1)(x,x0)dx,
h2c(1)(x,x0)=k2π(d2l)×exp[iπ4+ik(d2l)+ik(xx0)22(d2l)],
h2c(2)(x2,x)=nk2πlexp[iπ4+inkl+ink(x2x)22l],
h2(x2,x0)=k2πd¯2exp[iπ4+ik(d2+(n1)l)+ik(x2x0)22d¯2],

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