Abstract

It is shown that spatial correlation functions measured for correlated photon pairs at the single-photon level correspond to speckle patterns visible at high intensities. This correspondence is observed for the first time in one experimental setup by using different acquisition modes of an intensified CCD camera in low and high intensity regimes. The behavior of intensity auto- and cross-correlation functions in dependence on pump-beam parameters including power and transverse profile is investigated.

© 2014 Optical Society of America

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  1. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
    [CrossRef]
  2. A. A. Malygin, A. N. Penin, A. V. Sergienko, “Spatiotemporal grouping of photons in spontaneous parametric scattering of light,” Dokl. Akad. Nauk SSSR 281, 308–313 (1985).
  3. B. M. Jost, A. V. Sergienko, A. F. Abouraddy, B. E. A. Saleh, M. C. Teich, “Spatial correlations of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera,” Opt. Express 3, 81–88 (1998).
    [CrossRef] [PubMed]
  4. A. Mosset, F. Deveaux, G. Fanjoux, E. Lantz, “Direct experimental characterization of the Bose-Einstein distribution of spatial fluctuations of spontaneous parametric down-conversion,” Eur. Phys. J. D 28, 447–451 (2004).
    [CrossRef]
  5. O. Haderka, J. Peřina, M. Hamar, “Simple direct measurement of nonclassical joint signal-idler photon-number statistics and the correlation area of twin photon beams,” J. Opt. B Quantum Semicl. Opt. 7, S572–S576 (2005).
    [CrossRef]
  6. M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera”,Nat. Commun. 3, 984 (2012).
    [CrossRef] [PubMed]
  7. C. H. Monken, P. H. Souto Ribeiro, S. Padua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998).
    [CrossRef]
  8. G. Molina-Terriza, S. Minardi, Y. Deyanova, C. I. Osorio, M. Hendrych, J. P. Torres, “Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down conversion,” Phys. Rev. A 72, 065802 (2005).
    [CrossRef]
  9. T. P. Grayson, G. A. Barbosa, “Spatial properties of spontaneous parametric down-conversion and their effect on induced coherence without induced emission,” Phys. Rev. A 49, 2948–2961 (1994).
    [CrossRef] [PubMed]
  10. A. Joobeur, B. E. A. Saleh, M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion,” Phys. Rev. A 50, 3349–3361 (1994).
    [CrossRef] [PubMed]
  11. A. Joobeur, B. E. A. Saleh, T. S. Larchuk, M. C. Teich, “Coherence properties of entangled light beams generated by parametric down-conversion: theory and experiment,” Phys. Rev. A 53, 4360–4371 (1996).
    [CrossRef] [PubMed]
  12. M. Hamar, J. Peřina, O. Haderka, V. Michálek, “Transverse coherence of photon pairs generated in spontaneous parametric downconversion,” Phys. Rev. A 81, 043827 (2010).
    [CrossRef]
  13. E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, “Simultaneous near-field and far-field spatial quantum correlations in the high-gain regime of parametric down-conversion,” Phys. Rev. A 69, 023802 (2004).
    [CrossRef]
  14. M. Bondani, A. Allevi, A. Andreoni, “Ghost imaging by intense multimode twin beam,” Eur. Phys. J. Special Topics 203, 151–161 (2012).
    [CrossRef]
  15. O. Jedrkiewicz, Y.-K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric downconversion,” Phys. Rev. Lett. 93, 243601 (2004).
    [CrossRef]
  16. G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Systematic study of the PDC speckle structure for quantum imaging applications,” Int. Journ. Quantum Inf. 7, 139–147 (2009).
    [CrossRef]
  17. G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Tailoring PDC speckle structure,” J. Mod. Opt. 56, 201–208 (2009).
    [CrossRef]
  18. J. Peřina, O. Haderka, V. Michálek, M. Hamar, “Absolute detector calibration using twin beams,” Opt. Lett. 37, 2475–2477 (2012).
    [CrossRef]
  19. X. Y. Zou, L. J. Wang, L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett. 67, 318–321 (1991).
    [CrossRef] [PubMed]
  20. J. Peřina, “Spatial properties of entangled photon pairs generated in nonlinear layered structures,” Phys. Rev. A 84, 053840 (2011).
    [CrossRef]

2012

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera”,Nat. Commun. 3, 984 (2012).
[CrossRef] [PubMed]

M. Bondani, A. Allevi, A. Andreoni, “Ghost imaging by intense multimode twin beam,” Eur. Phys. J. Special Topics 203, 151–161 (2012).
[CrossRef]

J. Peřina, O. Haderka, V. Michálek, M. Hamar, “Absolute detector calibration using twin beams,” Opt. Lett. 37, 2475–2477 (2012).
[CrossRef]

2011

J. Peřina, “Spatial properties of entangled photon pairs generated in nonlinear layered structures,” Phys. Rev. A 84, 053840 (2011).
[CrossRef]

2010

M. Hamar, J. Peřina, O. Haderka, V. Michálek, “Transverse coherence of photon pairs generated in spontaneous parametric downconversion,” Phys. Rev. A 81, 043827 (2010).
[CrossRef]

2009

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Systematic study of the PDC speckle structure for quantum imaging applications,” Int. Journ. Quantum Inf. 7, 139–147 (2009).
[CrossRef]

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Tailoring PDC speckle structure,” J. Mod. Opt. 56, 201–208 (2009).
[CrossRef]

2005

G. Molina-Terriza, S. Minardi, Y. Deyanova, C. I. Osorio, M. Hendrych, J. P. Torres, “Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down conversion,” Phys. Rev. A 72, 065802 (2005).
[CrossRef]

O. Haderka, J. Peřina, M. Hamar, “Simple direct measurement of nonclassical joint signal-idler photon-number statistics and the correlation area of twin photon beams,” J. Opt. B Quantum Semicl. Opt. 7, S572–S576 (2005).
[CrossRef]

2004

A. Mosset, F. Deveaux, G. Fanjoux, E. Lantz, “Direct experimental characterization of the Bose-Einstein distribution of spatial fluctuations of spontaneous parametric down-conversion,” Eur. Phys. J. D 28, 447–451 (2004).
[CrossRef]

E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, “Simultaneous near-field and far-field spatial quantum correlations in the high-gain regime of parametric down-conversion,” Phys. Rev. A 69, 023802 (2004).
[CrossRef]

O. Jedrkiewicz, Y.-K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric downconversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

1998

B. M. Jost, A. V. Sergienko, A. F. Abouraddy, B. E. A. Saleh, M. C. Teich, “Spatial correlations of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera,” Opt. Express 3, 81–88 (1998).
[CrossRef] [PubMed]

C. H. Monken, P. H. Souto Ribeiro, S. Padua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998).
[CrossRef]

1996

A. Joobeur, B. E. A. Saleh, T. S. Larchuk, M. C. Teich, “Coherence properties of entangled light beams generated by parametric down-conversion: theory and experiment,” Phys. Rev. A 53, 4360–4371 (1996).
[CrossRef] [PubMed]

1994

T. P. Grayson, G. A. Barbosa, “Spatial properties of spontaneous parametric down-conversion and their effect on induced coherence without induced emission,” Phys. Rev. A 49, 2948–2961 (1994).
[CrossRef] [PubMed]

A. Joobeur, B. E. A. Saleh, M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion,” Phys. Rev. A 50, 3349–3361 (1994).
[CrossRef] [PubMed]

1991

X. Y. Zou, L. J. Wang, L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett. 67, 318–321 (1991).
[CrossRef] [PubMed]

1985

A. A. Malygin, A. N. Penin, A. V. Sergienko, “Spatiotemporal grouping of photons in spontaneous parametric scattering of light,” Dokl. Akad. Nauk SSSR 281, 308–313 (1985).

Abouraddy, A. F.

Agnew, M.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera”,Nat. Commun. 3, 984 (2012).
[CrossRef] [PubMed]

Allevi, A.

M. Bondani, A. Allevi, A. Andreoni, “Ghost imaging by intense multimode twin beam,” Eur. Phys. J. Special Topics 203, 151–161 (2012).
[CrossRef]

Andreoni, A.

M. Bondani, A. Allevi, A. Andreoni, “Ghost imaging by intense multimode twin beam,” Eur. Phys. J. Special Topics 203, 151–161 (2012).
[CrossRef]

Bache, M.

E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, “Simultaneous near-field and far-field spatial quantum correlations in the high-gain regime of parametric down-conversion,” Phys. Rev. A 69, 023802 (2004).
[CrossRef]

O. Jedrkiewicz, Y.-K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric downconversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

Barbosa, G. A.

T. P. Grayson, G. A. Barbosa, “Spatial properties of spontaneous parametric down-conversion and their effect on induced coherence without induced emission,” Phys. Rev. A 49, 2948–2961 (1994).
[CrossRef] [PubMed]

Bondani, M.

M. Bondani, A. Allevi, A. Andreoni, “Ghost imaging by intense multimode twin beam,” Eur. Phys. J. Special Topics 203, 151–161 (2012).
[CrossRef]

Boyd, R. W.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera”,Nat. Commun. 3, 984 (2012).
[CrossRef] [PubMed]

Brambilla, E.

O. Jedrkiewicz, Y.-K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric downconversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, “Simultaneous near-field and far-field spatial quantum correlations in the high-gain regime of parametric down-conversion,” Phys. Rev. A 69, 023802 (2004).
[CrossRef]

Brida, G.

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Systematic study of the PDC speckle structure for quantum imaging applications,” Int. Journ. Quantum Inf. 7, 139–147 (2009).
[CrossRef]

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Tailoring PDC speckle structure,” J. Mod. Opt. 56, 201–208 (2009).
[CrossRef]

Buller, G. S.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera”,Nat. Commun. 3, 984 (2012).
[CrossRef] [PubMed]

Deveaux, F.

A. Mosset, F. Deveaux, G. Fanjoux, E. Lantz, “Direct experimental characterization of the Bose-Einstein distribution of spatial fluctuations of spontaneous parametric down-conversion,” Eur. Phys. J. D 28, 447–451 (2004).
[CrossRef]

Deyanova, Y.

G. Molina-Terriza, S. Minardi, Y. Deyanova, C. I. Osorio, M. Hendrych, J. P. Torres, “Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down conversion,” Phys. Rev. A 72, 065802 (2005).
[CrossRef]

Di Trapani, P.

O. Jedrkiewicz, Y.-K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric downconversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

Edgar, M. P.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera”,Nat. Commun. 3, 984 (2012).
[CrossRef] [PubMed]

Fanjoux, G.

A. Mosset, F. Deveaux, G. Fanjoux, E. Lantz, “Direct experimental characterization of the Bose-Einstein distribution of spatial fluctuations of spontaneous parametric down-conversion,” Eur. Phys. J. D 28, 447–451 (2004).
[CrossRef]

Gatti, A.

O. Jedrkiewicz, Y.-K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric downconversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, “Simultaneous near-field and far-field spatial quantum correlations in the high-gain regime of parametric down-conversion,” Phys. Rev. A 69, 023802 (2004).
[CrossRef]

Genovese, M.

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Tailoring PDC speckle structure,” J. Mod. Opt. 56, 201–208 (2009).
[CrossRef]

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Systematic study of the PDC speckle structure for quantum imaging applications,” Int. Journ. Quantum Inf. 7, 139–147 (2009).
[CrossRef]

Grayson, T. P.

T. P. Grayson, G. A. Barbosa, “Spatial properties of spontaneous parametric down-conversion and their effect on induced coherence without induced emission,” Phys. Rev. A 49, 2948–2961 (1994).
[CrossRef] [PubMed]

Haderka, O.

J. Peřina, O. Haderka, V. Michálek, M. Hamar, “Absolute detector calibration using twin beams,” Opt. Lett. 37, 2475–2477 (2012).
[CrossRef]

M. Hamar, J. Peřina, O. Haderka, V. Michálek, “Transverse coherence of photon pairs generated in spontaneous parametric downconversion,” Phys. Rev. A 81, 043827 (2010).
[CrossRef]

O. Haderka, J. Peřina, M. Hamar, “Simple direct measurement of nonclassical joint signal-idler photon-number statistics and the correlation area of twin photon beams,” J. Opt. B Quantum Semicl. Opt. 7, S572–S576 (2005).
[CrossRef]

Hamar, M.

J. Peřina, O. Haderka, V. Michálek, M. Hamar, “Absolute detector calibration using twin beams,” Opt. Lett. 37, 2475–2477 (2012).
[CrossRef]

M. Hamar, J. Peřina, O. Haderka, V. Michálek, “Transverse coherence of photon pairs generated in spontaneous parametric downconversion,” Phys. Rev. A 81, 043827 (2010).
[CrossRef]

O. Haderka, J. Peřina, M. Hamar, “Simple direct measurement of nonclassical joint signal-idler photon-number statistics and the correlation area of twin photon beams,” J. Opt. B Quantum Semicl. Opt. 7, S572–S576 (2005).
[CrossRef]

Hendrych, M.

G. Molina-Terriza, S. Minardi, Y. Deyanova, C. I. Osorio, M. Hendrych, J. P. Torres, “Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down conversion,” Phys. Rev. A 72, 065802 (2005).
[CrossRef]

Izdebski, F.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera”,Nat. Commun. 3, 984 (2012).
[CrossRef] [PubMed]

Jedrkiewicz, O.

O. Jedrkiewicz, Y.-K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric downconversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

Jiang, Y.-K.

O. Jedrkiewicz, Y.-K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric downconversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

Joobeur, A.

A. Joobeur, B. E. A. Saleh, T. S. Larchuk, M. C. Teich, “Coherence properties of entangled light beams generated by parametric down-conversion: theory and experiment,” Phys. Rev. A 53, 4360–4371 (1996).
[CrossRef] [PubMed]

A. Joobeur, B. E. A. Saleh, M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion,” Phys. Rev. A 50, 3349–3361 (1994).
[CrossRef] [PubMed]

Jost, B. M.

Lantz, E.

A. Mosset, F. Deveaux, G. Fanjoux, E. Lantz, “Direct experimental characterization of the Bose-Einstein distribution of spatial fluctuations of spontaneous parametric down-conversion,” Eur. Phys. J. D 28, 447–451 (2004).
[CrossRef]

Larchuk, T. S.

A. Joobeur, B. E. A. Saleh, T. S. Larchuk, M. C. Teich, “Coherence properties of entangled light beams generated by parametric down-conversion: theory and experiment,” Phys. Rev. A 53, 4360–4371 (1996).
[CrossRef] [PubMed]

Leach, J.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera”,Nat. Commun. 3, 984 (2012).
[CrossRef] [PubMed]

Lugiato, L. A.

E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, “Simultaneous near-field and far-field spatial quantum correlations in the high-gain regime of parametric down-conversion,” Phys. Rev. A 69, 023802 (2004).
[CrossRef]

O. Jedrkiewicz, Y.-K. Jiang, E. Brambilla, A. Gatti, M. Bache, L. A. Lugiato, P. Di Trapani, “Detection of sub-shot-noise spatial correlation in high-gain parametric downconversion,” Phys. Rev. Lett. 93, 243601 (2004).
[CrossRef]

Malygin, A. A.

A. A. Malygin, A. N. Penin, A. V. Sergienko, “Spatiotemporal grouping of photons in spontaneous parametric scattering of light,” Dokl. Akad. Nauk SSSR 281, 308–313 (1985).

Mandel, L.

X. Y. Zou, L. J. Wang, L. Mandel, “Induced coherence and indistinguishability in optical interference,” Phys. Rev. Lett. 67, 318–321 (1991).
[CrossRef] [PubMed]

L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
[CrossRef]

Meda, A.

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Systematic study of the PDC speckle structure for quantum imaging applications,” Int. Journ. Quantum Inf. 7, 139–147 (2009).
[CrossRef]

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Tailoring PDC speckle structure,” J. Mod. Opt. 56, 201–208 (2009).
[CrossRef]

Michálek, V.

J. Peřina, O. Haderka, V. Michálek, M. Hamar, “Absolute detector calibration using twin beams,” Opt. Lett. 37, 2475–2477 (2012).
[CrossRef]

M. Hamar, J. Peřina, O. Haderka, V. Michálek, “Transverse coherence of photon pairs generated in spontaneous parametric downconversion,” Phys. Rev. A 81, 043827 (2010).
[CrossRef]

Minardi, S.

G. Molina-Terriza, S. Minardi, Y. Deyanova, C. I. Osorio, M. Hendrych, J. P. Torres, “Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down conversion,” Phys. Rev. A 72, 065802 (2005).
[CrossRef]

Molina-Terriza, G.

G. Molina-Terriza, S. Minardi, Y. Deyanova, C. I. Osorio, M. Hendrych, J. P. Torres, “Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down conversion,” Phys. Rev. A 72, 065802 (2005).
[CrossRef]

Monken, C. H.

C. H. Monken, P. H. Souto Ribeiro, S. Padua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998).
[CrossRef]

Mosset, A.

A. Mosset, F. Deveaux, G. Fanjoux, E. Lantz, “Direct experimental characterization of the Bose-Einstein distribution of spatial fluctuations of spontaneous parametric down-conversion,” Eur. Phys. J. D 28, 447–451 (2004).
[CrossRef]

Osorio, C. I.

G. Molina-Terriza, S. Minardi, Y. Deyanova, C. I. Osorio, M. Hendrych, J. P. Torres, “Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down conversion,” Phys. Rev. A 72, 065802 (2005).
[CrossRef]

Padgett, M. J.

M. P. Edgar, D. S. Tasca, F. Izdebski, R. E. Warburton, J. Leach, M. Agnew, G. S. Buller, R. W. Boyd, M. J. Padgett, “Imaging high-dimensional spatial entanglement with a camera”,Nat. Commun. 3, 984 (2012).
[CrossRef] [PubMed]

Padua, S.

C. H. Monken, P. H. Souto Ribeiro, S. Padua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998).
[CrossRef]

Penin, A. N.

A. A. Malygin, A. N. Penin, A. V. Sergienko, “Spatiotemporal grouping of photons in spontaneous parametric scattering of light,” Dokl. Akad. Nauk SSSR 281, 308–313 (1985).

Perina, J.

J. Peřina, O. Haderka, V. Michálek, M. Hamar, “Absolute detector calibration using twin beams,” Opt. Lett. 37, 2475–2477 (2012).
[CrossRef]

J. Peřina, “Spatial properties of entangled photon pairs generated in nonlinear layered structures,” Phys. Rev. A 84, 053840 (2011).
[CrossRef]

M. Hamar, J. Peřina, O. Haderka, V. Michálek, “Transverse coherence of photon pairs generated in spontaneous parametric downconversion,” Phys. Rev. A 81, 043827 (2010).
[CrossRef]

O. Haderka, J. Peřina, M. Hamar, “Simple direct measurement of nonclassical joint signal-idler photon-number statistics and the correlation area of twin photon beams,” J. Opt. B Quantum Semicl. Opt. 7, S572–S576 (2005).
[CrossRef]

Predazzi, E.

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Tailoring PDC speckle structure,” J. Mod. Opt. 56, 201–208 (2009).
[CrossRef]

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Systematic study of the PDC speckle structure for quantum imaging applications,” Int. Journ. Quantum Inf. 7, 139–147 (2009).
[CrossRef]

Ruo Berchera, I.

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Systematic study of the PDC speckle structure for quantum imaging applications,” Int. Journ. Quantum Inf. 7, 139–147 (2009).
[CrossRef]

G. Brida, M. Genovese, A. Meda, E. Predazzi, I. Ruo Berchera, “Tailoring PDC speckle structure,” J. Mod. Opt. 56, 201–208 (2009).
[CrossRef]

Saleh, B. E. A.

B. M. Jost, A. V. Sergienko, A. F. Abouraddy, B. E. A. Saleh, M. C. Teich, “Spatial correlations of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera,” Opt. Express 3, 81–88 (1998).
[CrossRef] [PubMed]

A. Joobeur, B. E. A. Saleh, T. S. Larchuk, M. C. Teich, “Coherence properties of entangled light beams generated by parametric down-conversion: theory and experiment,” Phys. Rev. A 53, 4360–4371 (1996).
[CrossRef] [PubMed]

A. Joobeur, B. E. A. Saleh, M. C. Teich, “Spatiotemporal coherence properties of entangled light beams generated by parametric down-conversion,” Phys. Rev. A 50, 3349–3361 (1994).
[CrossRef] [PubMed]

Sergienko, A. V.

B. M. Jost, A. V. Sergienko, A. F. Abouraddy, B. E. A. Saleh, M. C. Teich, “Spatial correlations of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera,” Opt. Express 3, 81–88 (1998).
[CrossRef] [PubMed]

A. A. Malygin, A. N. Penin, A. V. Sergienko, “Spatiotemporal grouping of photons in spontaneous parametric scattering of light,” Dokl. Akad. Nauk SSSR 281, 308–313 (1985).

Souto Ribeiro, P. H.

C. H. Monken, P. H. Souto Ribeiro, S. Padua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A 57, 3123–3126 (1998).
[CrossRef]

Tasca, D. S.

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Figures (4)

Fig. 1
Fig. 1

(a) Sketch of the experimental setup (see text for details). (b) Propagation geometry of a plane wave with wave vector k in the reference frame of the crystal: ϑ is the radial angle measured from the z axis in the incidence plane and ψ is the azimuthal angle that gives the rotation of the plane of incidence with respect to the plane yz. Alternatively, the coordinate system of the camera is used: Θ is the radial angle measured in the plane perpendicular to the xz plane from the intersection of the two planes and Ψ is the azimuthal angle in the plane perpendicular to the plane of angle Θ.

Fig. 2
Fig. 2

Typical images taken by the iCCD camera in the experiment. a) single frame at the single-photon level (Pp = 20 μW). b) summed image of frames at the single-photon level with the overall mean photon number equal to that in c); c) single frame at the mesoscopic level with speckles (Pp = 45 mW). d) intensity AC and XC functions computed from a sequence of 1000 frames taken at classical intensity. Two peaks appear in the image: the left peak is located around the selected idler point, thus describing the intensity AC function Γii. The right peak is centered at the conjugate signal point given by ideal phase-matching conditions, thus giving the intensity XC function Γis. The axes are scaled in superpixels of the iCCD.

Fig. 3
Fig. 3

(a) Radial width ΔΓΘ and (b) azimuthal width ΔΓΨ of intensity AC (rectangles) and XC (circles) functions (FWHM) depending on pump power Pp. Dashed lines correspond to the XC function width ΔΓ measured at power Pp = 20 μW by the photon-counting approach (dotted lines define the standard deviation of measurement). The bottom dash-dot line shows the size of the macropixel used in the measurements.

Fig. 4
Fig. 4

Width ΔΓii of intensity AC functions (circles, triangles) and ΔΓis of XC functions (rectangles, diamonds, FWHM) as they depend on pump-beam diameter wp. Radial (circles, rectangles) and azimuthal (triangles, diamonds) dependencies are shown simultaneously. Azimuthal widths ΔΓΨ are plotted against vertical pump beam diameter wp while radial widths ΔΓΘ are drawn against horizontal pump-beam diameter wp. The placement of the azimuthal points at lower values of wp stem from ellipticity of the pump beam. Solid (radial) and dashed (azimuthal) curves are based on a theoretical model [20]. Dotted line shows a theoretical curve for a pumping beam with spatial spectrum twice wider than an ideal Gaussian beam (see the text).

Equations (1)

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Γ a b ( r 1 , r 2 ) = Δ I a ( r 1 ) Δ I b ( r 2 ) , a , b = s , i .

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