Abstract

Two-photon interference with independent classical sources, in which superposition of two indistinguishable two-photon paths plays a key role, is of limited visibility with a maximum value of 50%. By using a random-phase grating to modulate the wavefront of a coherent light, we introduce superposition of multiple indistinguishable two-photon paths, which enhances the two-photon interference effect with a signature of visibility exceeding 50%. The result shows the importance of phase control in the control of high-order coherence of classical light.

© 2013 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Synchronous position two-photon interference of random-phase grating

Peilong Hong and Guoquan Zhang
J. Opt. Soc. Am. A 32(7) 1256-1261 (2015)

Two-photon interferences of nondegenerate photon pairs from Doppler-broadened atomic ensemble

Jiho Park, Heonoh Kim, and Han Seb Moon
Opt. Express 25(25) 32064-32073 (2017)

High-resolution interference with programmable classical incoherent light

Er-Feng Zhang, Wei-Tao Liu, and Ping-Xing Chen
J. Opt. Soc. Am. A 32(7) 1251-1255 (2015)

More Recommended Articles

References

  • View by:
  • Article Order
  • |
  • Year
  • |
  • Author
  • |
  • Publication
  1. P. Dirac, The Principles of Quantum Mechanics, 2nd edition (Oxford University, 1935).
  2. R. Brown and R. Twiss, “Correlation between photons in two coherent beams of light,” Nature 177(4497), 27–29 (1956).
    [Crossref]
  3. R. Brown and R. Twiss, “A test of new type of stellar interferometer on sirius,” Nature 178(4541), 1046–1048 (1956).
    [Crossref]
  4. U. Fano, “Quantum theory of interference effects in the mixing of light from phase-independent sources,” Am. J. Phys. 29(8), 539–545 (1961).
    [Crossref]
  5. J. Liu and G. Zhang, “Unified interpretation for second-order subwavelength interference based on Feynmans path-integral theory,” Phys. Rev. A 82(1), 013822 (2010).
    [Crossref]
  6. L. Mandel, “Photon interference and correlation effects produced by independent quantum sources,” Phys. Rev. A 28(2), 929–943 (1983).
    [Crossref]
  7. H. Paul, “Interference between independent photons,” Rev. Mod. Phys. 58(1), 209–231 (1986).
    [Crossref]
  8. Z. Ou, “Quantum theory of fourth-order interference,” Phys. Rev. A 37(5), 1607–1619 (1988).
    [Crossref] [PubMed]
  9. D. Klyshko, “Quantum optics: quantum, classical, and metaphysical aspects,” Phys. Usp. 37(11), 1097–1123 (1994).
    [Crossref]
  10. 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]
  11. 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]
  12. K. Edamatsu, R. Shimizu, and T. Itoh, “Measurement of the photonic de Broglie wavelength of entangled photon pairs generated by spontaneous parametric down-conversion,” Phys. Rev. Lett. 89(21), 213601 (2002).
    [Crossref] [PubMed]
  13. G. Scarcelli, A. Valencia, and Y. Shih, “Two-photon interference with thermal light,” Europhys. Lett. 68(5), 618–624 (2004).
    [Crossref]
  14. J. Xiong, D. Cao, F. Huang, H. Li, X. Sun, and K. Wang, “Experimental observation of classical subwavelength interference with a pseudothermal light source,” Phys. Rev. Lett. 94(17), 173601 (2005).
    [Crossref] [PubMed]
  15. Yan-Hua Zhai, Xi-Hao Chen, Da Zhang, and Ling-An Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4),043805 (2005).
    [Crossref]
  16. I. Agafonov, M. Chekhova, T. Iskhakov, and A. Penin, “High-visibility multiphoton interference of Hanbury Brown-Twiss type for classical light,” Phys. Rev. A 77(5), 053801 (2008).
    [Crossref]
  17. D. Cao, J. Xiong, S. Zhang, L. Lin, L. Gao, and K. Wang, “Enhancing visibility and resolution in Nth-order intensity correlation of thermal light,” Appl. Phys. Lett. 92(20), 201102 (2008).
    [Crossref]
  18. X. Chen, I. Agafonov, K. Luo, Q. Liu, R. Xian, M. Chekhova, and L. Wu, “High-visibility, high-order lensless ghost imaging with thermal light,” Opt. Lett. 35(8), 1166–1168 (2010).
    [Crossref] [PubMed]
  19. Y. Zhou, J. Simon, J. Liu, and Y. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81(4), 043831 (2010).
    [Crossref]
  20. R. Glauber, “The quantum theory of optical coherence,” Phys. Rev. 130(6), 2529–2539 (1963).
    [Crossref]
  21. R. Glauber, “Coherent and incoherent state of radiation field,” Phys. Rev. 131(6), 2766–2788 (1963).
    [Crossref]
  22. G. Brooker, Modern Classical Optics (Oxford University, 2003).
  23. Y. Bromberg, Y. Lahini, E. Small, and Y. Silberberg, “Hanbury Brown and Twiss interferometry with interacting photons,” Nature Photonics 4, 721–726 (2010).
    [Crossref]

2010 (4)

J. Liu and G. Zhang, “Unified interpretation for second-order subwavelength interference based on Feynmans path-integral theory,” Phys. Rev. A 82(1), 013822 (2010).
[Crossref]

Y. Zhou, J. Simon, J. Liu, and Y. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81(4), 043831 (2010).
[Crossref]

Y. Bromberg, Y. Lahini, E. Small, and Y. Silberberg, “Hanbury Brown and Twiss interferometry with interacting photons,” Nature Photonics 4, 721–726 (2010).
[Crossref]

X. Chen, I. Agafonov, K. Luo, Q. Liu, R. Xian, M. Chekhova, and L. Wu, “High-visibility, high-order lensless ghost imaging with thermal light,” Opt. Lett. 35(8), 1166–1168 (2010).
[Crossref] [PubMed]

2008 (2)

I. Agafonov, M. Chekhova, T. Iskhakov, and A. Penin, “High-visibility multiphoton interference of Hanbury Brown-Twiss type for classical light,” Phys. Rev. A 77(5), 053801 (2008).
[Crossref]

D. Cao, J. Xiong, S. Zhang, L. Lin, L. Gao, and K. Wang, “Enhancing visibility and resolution in Nth-order intensity correlation of thermal light,” Appl. Phys. Lett. 92(20), 201102 (2008).
[Crossref]

2005 (2)

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

Yan-Hua Zhai, Xi-Hao Chen, Da Zhang, and Ling-An Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4),043805 (2005).
[Crossref]

2004 (1)

G. Scarcelli, A. Valencia, and Y. Shih, “Two-photon interference with thermal light,” Europhys. Lett. 68(5), 618–624 (2004).
[Crossref]

2002 (1)

K. Edamatsu, R. Shimizu, and T. Itoh, “Measurement of the photonic de Broglie wavelength of entangled photon pairs generated by spontaneous parametric down-conversion,” Phys. Rev. Lett. 89(21), 213601 (2002).
[Crossref] [PubMed]

1999 (1)

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 (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]

1994 (1)

D. Klyshko, “Quantum optics: quantum, classical, and metaphysical aspects,” Phys. Usp. 37(11), 1097–1123 (1994).
[Crossref]

1988 (1)

Z. Ou, “Quantum theory of fourth-order interference,” Phys. Rev. A 37(5), 1607–1619 (1988).
[Crossref] [PubMed]

1986 (1)

H. Paul, “Interference between independent photons,” Rev. Mod. Phys. 58(1), 209–231 (1986).
[Crossref]

1983 (1)

L. Mandel, “Photon interference and correlation effects produced by independent quantum sources,” Phys. Rev. A 28(2), 929–943 (1983).
[Crossref]

1963 (2)

R. Glauber, “The quantum theory of optical coherence,” Phys. Rev. 130(6), 2529–2539 (1963).
[Crossref]

R. Glauber, “Coherent and incoherent state of radiation field,” Phys. Rev. 131(6), 2766–2788 (1963).
[Crossref]

1961 (1)

U. Fano, “Quantum theory of interference effects in the mixing of light from phase-independent sources,” Am. J. Phys. 29(8), 539–545 (1961).
[Crossref]

1956 (2)

R. Brown and R. Twiss, “Correlation between photons in two coherent beams of light,” Nature 177(4497), 27–29 (1956).
[Crossref]

R. Brown and R. Twiss, “A test of new type of stellar interferometer on sirius,” Nature 178(4541), 1046–1048 (1956).
[Crossref]

Agafonov, I.

X. Chen, I. Agafonov, K. Luo, Q. Liu, R. Xian, M. Chekhova, and L. Wu, “High-visibility, high-order lensless ghost imaging with thermal light,” Opt. Lett. 35(8), 1166–1168 (2010).
[Crossref] [PubMed]

I. Agafonov, M. Chekhova, T. Iskhakov, and A. Penin, “High-visibility multiphoton interference of Hanbury Brown-Twiss type for classical light,” Phys. Rev. A 77(5), 053801 (2008).
[Crossref]

Bromberg, Y.

Y. Bromberg, Y. Lahini, E. Small, and Y. Silberberg, “Hanbury Brown and Twiss interferometry with interacting photons,” Nature Photonics 4, 721–726 (2010).
[Crossref]

Brooker, G.

G. Brooker, Modern Classical Optics (Oxford University, 2003).

Brown, R.

R. Brown and R. Twiss, “A test of new type of stellar interferometer on sirius,” Nature 178(4541), 1046–1048 (1956).
[Crossref]

R. Brown and R. Twiss, “Correlation between photons in two coherent beams of light,” Nature 177(4497), 27–29 (1956).
[Crossref]

Cao, D.

D. Cao, J. Xiong, S. Zhang, L. Lin, L. Gao, and K. Wang, “Enhancing visibility and resolution in Nth-order intensity correlation of thermal light,” Appl. Phys. Lett. 92(20), 201102 (2008).
[Crossref]

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

Chekhova, M.

X. Chen, I. Agafonov, K. Luo, Q. Liu, R. Xian, M. Chekhova, and L. Wu, “High-visibility, high-order lensless ghost imaging with thermal light,” Opt. Lett. 35(8), 1166–1168 (2010).
[Crossref] [PubMed]

I. Agafonov, M. Chekhova, T. Iskhakov, and A. Penin, “High-visibility multiphoton interference of Hanbury Brown-Twiss type for classical light,” Phys. Rev. A 77(5), 053801 (2008).
[Crossref]

Chen, X.

Chen, Xi-Hao

Yan-Hua Zhai, Xi-Hao Chen, Da Zhang, and Ling-An Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4),043805 (2005).
[Crossref]

Dirac, P.

P. Dirac, The Principles of Quantum Mechanics, 2nd edition (Oxford University, 1935).

Edamatsu, K.

K. Edamatsu, R. Shimizu, and T. Itoh, “Measurement of the photonic de Broglie wavelength of entangled photon pairs generated by spontaneous parametric down-conversion,” Phys. Rev. Lett. 89(21), 213601 (2002).
[Crossref] [PubMed]

Fano, U.

U. Fano, “Quantum theory of interference effects in the mixing of light from phase-independent sources,” Am. J. Phys. 29(8), 539–545 (1961).
[Crossref]

Fonseca, E. J. 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]

Gao, L.

D. Cao, J. Xiong, S. Zhang, L. Lin, L. Gao, and K. Wang, “Enhancing visibility and resolution in Nth-order intensity correlation of thermal light,” Appl. Phys. Lett. 92(20), 201102 (2008).
[Crossref]

Glauber, R.

R. Glauber, “The quantum theory of optical coherence,” Phys. Rev. 130(6), 2529–2539 (1963).
[Crossref]

R. Glauber, “Coherent and incoherent state of radiation field,” Phys. Rev. 131(6), 2766–2788 (1963).
[Crossref]

Huang, F.

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

Iskhakov, T.

I. Agafonov, M. Chekhova, T. Iskhakov, and A. Penin, “High-visibility multiphoton interference of Hanbury Brown-Twiss type for classical light,” Phys. Rev. A 77(5), 053801 (2008).
[Crossref]

Itoh, T.

K. Edamatsu, R. Shimizu, and T. Itoh, “Measurement of the photonic de Broglie wavelength of entangled photon pairs generated by spontaneous parametric down-conversion,” Phys. Rev. Lett. 89(21), 213601 (2002).
[Crossref] [PubMed]

Klyshko, D.

D. Klyshko, “Quantum optics: quantum, classical, and metaphysical aspects,” Phys. Usp. 37(11), 1097–1123 (1994).
[Crossref]

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]

Lahini, Y.

Y. Bromberg, Y. Lahini, E. Small, and Y. Silberberg, “Hanbury Brown and Twiss interferometry with interacting photons,” Nature Photonics 4, 721–726 (2010).
[Crossref]

Li, H.

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

Lin, L.

D. Cao, J. Xiong, S. Zhang, L. Lin, L. Gao, and K. Wang, “Enhancing visibility and resolution in Nth-order intensity correlation of thermal light,” Appl. Phys. Lett. 92(20), 201102 (2008).
[Crossref]

Liu, J.

J. Liu and G. Zhang, “Unified interpretation for second-order subwavelength interference based on Feynmans path-integral theory,” Phys. Rev. A 82(1), 013822 (2010).
[Crossref]

Y. Zhou, J. Simon, J. Liu, and Y. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81(4), 043831 (2010).
[Crossref]

Liu, Q.

Luo, K.

Mandel, L.

L. Mandel, “Photon interference and correlation effects produced by independent quantum sources,” Phys. Rev. A 28(2), 929–943 (1983).
[Crossref]

Monken, C. H.

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]

Ou, Z.

Z. Ou, “Quantum theory of fourth-order interference,” Phys. Rev. A 37(5), 1607–1619 (1988).
[Crossref] [PubMed]

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]

Paul, H.

H. Paul, “Interference between independent photons,” Rev. Mod. Phys. 58(1), 209–231 (1986).
[Crossref]

Penin, A.

I. Agafonov, M. Chekhova, T. Iskhakov, and A. Penin, “High-visibility multiphoton interference of Hanbury Brown-Twiss type for classical light,” Phys. Rev. A 77(5), 053801 (2008).
[Crossref]

Scarcelli, G.

G. Scarcelli, A. Valencia, and Y. Shih, “Two-photon interference with thermal light,” Europhys. Lett. 68(5), 618–624 (2004).
[Crossref]

Sergienko, A. V.

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.

Y. Zhou, J. Simon, J. Liu, and Y. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81(4), 043831 (2010).
[Crossref]

G. Scarcelli, A. Valencia, and Y. Shih, “Two-photon interference with thermal light,” Europhys. Lett. 68(5), 618–624 (2004).
[Crossref]

Shih, Y. H.

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]

Shimizu, R.

K. Edamatsu, R. Shimizu, and T. Itoh, “Measurement of the photonic de Broglie wavelength of entangled photon pairs generated by spontaneous parametric down-conversion,” Phys. Rev. Lett. 89(21), 213601 (2002).
[Crossref] [PubMed]

Silberberg, Y.

Y. Bromberg, Y. Lahini, E. Small, and Y. Silberberg, “Hanbury Brown and Twiss interferometry with interacting photons,” Nature Photonics 4, 721–726 (2010).
[Crossref]

Simon, J.

Y. Zhou, J. Simon, J. Liu, and Y. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81(4), 043831 (2010).
[Crossref]

Small, E.

Y. Bromberg, Y. Lahini, E. Small, and Y. Silberberg, “Hanbury Brown and Twiss interferometry with interacting photons,” Nature Photonics 4, 721–726 (2010).
[Crossref]

Strekalov, D. V.

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

Twiss, R.

R. Brown and R. Twiss, “A test of new type of stellar interferometer on sirius,” Nature 178(4541), 1046–1048 (1956).
[Crossref]

R. Brown and R. Twiss, “Correlation between photons in two coherent beams of light,” Nature 177(4497), 27–29 (1956).
[Crossref]

Valencia, A.

G. Scarcelli, A. Valencia, and Y. Shih, “Two-photon interference with thermal light,” Europhys. Lett. 68(5), 618–624 (2004).
[Crossref]

Wang, K.

D. Cao, J. Xiong, S. Zhang, L. Lin, L. Gao, and K. Wang, “Enhancing visibility and resolution in Nth-order intensity correlation of thermal light,” Appl. Phys. Lett. 92(20), 201102 (2008).
[Crossref]

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

Wu, L.

Wu, Ling-An

Yan-Hua Zhai, Xi-Hao Chen, Da Zhang, and Ling-An Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4),043805 (2005).
[Crossref]

Xian, R.

Xiong, J.

D. Cao, J. Xiong, S. Zhang, L. Lin, L. Gao, and K. Wang, “Enhancing visibility and resolution in Nth-order intensity correlation of thermal light,” Appl. Phys. Lett. 92(20), 201102 (2008).
[Crossref]

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

Zhai, Yan-Hua

Yan-Hua Zhai, Xi-Hao Chen, Da Zhang, and Ling-An Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4),043805 (2005).
[Crossref]

Zhang, Da

Yan-Hua Zhai, Xi-Hao Chen, Da Zhang, and Ling-An Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4),043805 (2005).
[Crossref]

Zhang, G.

J. Liu and G. Zhang, “Unified interpretation for second-order subwavelength interference based on Feynmans path-integral theory,” Phys. Rev. A 82(1), 013822 (2010).
[Crossref]

Zhang, S.

D. Cao, J. Xiong, S. Zhang, L. Lin, L. Gao, and K. Wang, “Enhancing visibility and resolution in Nth-order intensity correlation of thermal light,” Appl. Phys. Lett. 92(20), 201102 (2008).
[Crossref]

Zhou, Y.

Y. Zhou, J. Simon, J. Liu, and Y. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81(4), 043831 (2010).
[Crossref]

Am. J. Phys. (1)

U. Fano, “Quantum theory of interference effects in the mixing of light from phase-independent sources,” Am. J. Phys. 29(8), 539–545 (1961).
[Crossref]

Appl. Phys. Lett. (1)

D. Cao, J. Xiong, S. Zhang, L. Lin, L. Gao, and K. Wang, “Enhancing visibility and resolution in Nth-order intensity correlation of thermal light,” Appl. Phys. Lett. 92(20), 201102 (2008).
[Crossref]

Europhys. Lett. (1)

G. Scarcelli, A. Valencia, and Y. Shih, “Two-photon interference with thermal light,” Europhys. Lett. 68(5), 618–624 (2004).
[Crossref]

Nature (2)

R. Brown and R. Twiss, “Correlation between photons in two coherent beams of light,” Nature 177(4497), 27–29 (1956).
[Crossref]

R. Brown and R. Twiss, “A test of new type of stellar interferometer on sirius,” Nature 178(4541), 1046–1048 (1956).
[Crossref]

Nature Photonics (1)

Y. Bromberg, Y. Lahini, E. Small, and Y. Silberberg, “Hanbury Brown and Twiss interferometry with interacting photons,” Nature Photonics 4, 721–726 (2010).
[Crossref]

Opt. Lett. (1)

Phys. Rev. (2)

R. Glauber, “The quantum theory of optical coherence,” Phys. Rev. 130(6), 2529–2539 (1963).
[Crossref]

R. Glauber, “Coherent and incoherent state of radiation field,” Phys. Rev. 131(6), 2766–2788 (1963).
[Crossref]

Phys. Rev. A (6)

Y. Zhou, J. Simon, J. Liu, and Y. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81(4), 043831 (2010).
[Crossref]

Yan-Hua Zhai, Xi-Hao Chen, Da Zhang, and Ling-An Wu, “Two-photon interference with true thermal light,” Phys. Rev. A 72(4),043805 (2005).
[Crossref]

I. Agafonov, M. Chekhova, T. Iskhakov, and A. Penin, “High-visibility multiphoton interference of Hanbury Brown-Twiss type for classical light,” Phys. Rev. A 77(5), 053801 (2008).
[Crossref]

Z. Ou, “Quantum theory of fourth-order interference,” Phys. Rev. A 37(5), 1607–1619 (1988).
[Crossref] [PubMed]

J. Liu and G. Zhang, “Unified interpretation for second-order subwavelength interference based on Feynmans path-integral theory,” Phys. Rev. A 82(1), 013822 (2010).
[Crossref]

L. Mandel, “Photon interference and correlation effects produced by independent quantum sources,” Phys. Rev. A 28(2), 929–943 (1983).
[Crossref]

Phys. Rev. Lett. (4)

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

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]

K. Edamatsu, R. Shimizu, and T. Itoh, “Measurement of the photonic de Broglie wavelength of entangled photon pairs generated by spontaneous parametric down-conversion,” Phys. Rev. Lett. 89(21), 213601 (2002).
[Crossref] [PubMed]

Phys. Usp. (1)

D. Klyshko, “Quantum optics: quantum, classical, and metaphysical aspects,” Phys. Usp. 37(11), 1097–1123 (1994).
[Crossref]

Rev. Mod. Phys. (1)

H. Paul, “Interference between independent photons,” Rev. Mod. Phys. 58(1), 209–231 (1986).
[Crossref]

Other (2)

G. Brooker, Modern Classical Optics (Oxford University, 2003).

P. Dirac, The Principles of Quantum Mechanics, 2nd edition (Oxford University, 1935).

Cited By

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

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1 Two indistinguishable two-photon paths for a pair of independent photons S1 and S2 to trigger a coincidence count. D1 and D2 are two single-photon detectors.

Download Full Size | PPT Slide | PDF

Fig. 2
Fig. 2 (a) Schematic diagram for the designed random-phase grating with N slits. The inset shows the random phases encoded on the light waves transmitting through the respective slits of the grating, in which the elementary phase ϕ changes with time randomly. (b) Schematic diagram for detecting the two-photon interference of the light wave transmitting through the N-slit random-phase grating in the Fraunhofer zone, where f is the focal length of the lens.

Download Full Size | PPT Slide | PDF

Fig. 3
Fig. 3 The dependence of the two-photon interference visibility V on the slit number N of the random-phase grating.

Download Full Size | PPT Slide | PDF

Fig. 4
Fig. 4 Schematic diagram of the experimental setup. A single mode 780-nm laser was introduced as the light source. A N-slit amplitude mask (N = 2, 3, 4 and 5, b = 72 μm and d = 400 μm) and a SLM were used to construct the random-phase grating shown in Fig. 2. A CCD camera was located at the focal plane of the lens L to measure the intensity distribution and the second-order spatial correlation function.

Download Full Size | PPT Slide | PDF

Fig. 5
Fig. 5 The single-photon interference and the two-photon interference of light on the detection plane at different conditions. The empty circles are the experimental data, while the red curves are the theoretical fits. The first column shows the stationary single-photon interference fringes with the normal N-slit gratings, where the red curves are the theoretical fits using the multiple-slit single-photon interference function sin2(Nβd/2)/sin2(βd/2). The second column shows the averaged intensity distributions with the N-slit random-phase gratings, in which each is a result over 10000 realizations of the random elementary phase ϕ, and the red curves are the theoretical fits using Eq. (3). And the third column represents the two-photon interference fringes with the N-slit random-phase gratings, in which the red curves are the theoretical fits with Eq. (6). Note that the vertical scale range increases from top to bottom in the third column, indicating an increase of the fringe visibility with increasing slit number N. Here we used a CCD camera to measure the intensity distributions on the detection plane, as shown in Fig. 4. In all cases, the slit number N of the grating was set to be 2, 3, 4 and 5, respectively.

Download Full Size | PPT Slide | PDF

Equations (9)

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

E ^ ( + ) ( x j ) ∝ ∫ − b 2 b 2 e − i β j x s d x s ∑ n = 1 N e − i ( n − 1 ) β j d e i ( n − 1 ) ϕ a ^ .
G ( 1 ) ( x j , x j ) = 〈 E * ( x j ) E ( x j ) 〉 ,
G ( 1 ) ( x j , x j ) ∝ N [ sin ( β j b / 2 ) β j b / 2 ] 2 .
G ( 2 ) ( x 1 , x 2 ) = 〈 E * ( x 1 ) E * ( x 2 ) E ( x 1 ) E ( x 2 ) 〉 .
G ( 2 ) ( x 1 , x 2 ) ∝ ∑ l = 0 2 N − 2 | ∏ j = 1 2 ∫ − b 2 b 2 e − i β j x s d x s × ∑ ( m , n ) ; m + n − 2 = l [ e − i ( n − 1 ) ( β 1 d − ϕ ) e − i ( m − 1 ) ( β 2 d − ϕ )                                                                     + ( 1 − δ ( m − n ) ) e − i ( n − 1 ) ( β 2 d − ϕ ) e − i ( m − 1 ) ( β 1 d − ϕ ) ] | 2                                                             ∝ ∏ j = 1 2 [ sin ( β j b / 2 ) β j b / 2 ] 2                                                                         × ∑ l = 0 2 N − 2 | ∑ ( m , n ) ; m + n − 2 = l [ e − i n β 1 d e − i m β 2 d + ( 1 − δ ( m − n ) ) e − i n β 2 d e − i m β 1 d ] | 2 ,
g ( 2 ) ( x 1 , x 2 ) = G ( 2 ) ( x 1 , x 2 ) G ( 1 ) ( x 1 , x 1 ) G ( 1 ) ( x 2 , x 2 ) = 1 N 2 ∑ l ′ = − N N − 1 sin 2 ( ( l ′ + 1 ) ( β 1 − β 2 ) d / 2 ) sin 2 ( ( β 1 − β 2 ) d / 2 ) .
G ( 2 ) ( x 1 , x 2 ) = 〈 | E ( x 1 ) E ( x 2 ) | 2 〉 ∝ 〈 | ∏ j = 1 2 ∫ − b 2 b 2 e − i β j x s d x s × ∑ n = 1 N ∑ m = 1 N e − i ( n − 1 ) ( β 1 d − ϕ ) e − i ( m − 1 ) ( β 2 d − ϕ ) | 2 〉
〈 e i ( n ′ − 1 ) ( β 1 d − ϕ ) e i ( m ′ − 1 ) ( β 2 d − ϕ ) e − i ( n − 1 ) ( β 1 d − ϕ ) e − i ( m − 1 ) ( β 2 d − ϕ ) 〉
g ( 2 ) ( x 1 , x 2 ) = G ( 2 ) ( x 1 , x 2 ) G ( 1 ) ( x 1 , x 1 ) G ( 1 ) ( x 2 , x 2 ) = 1 N 2 ∑ l = 0 2 N − 2 | ∑ ( m , n ) ; m + n − 2 = l [ e i n β 1 d e i m β 2 d + ( 1 − δ ( m − n ) ) e i n β 2 d e i m β 1 d ] | 2 = 1 N 2 ∑ l = 0 N − 1 | ∑ m = 1 l + 1 e i m β 1 d e i ( l + 2 − m ) β 2 d | 2 + ∑ l = N 2 N − 2 | ∑ m = l + 2 − N N e i m β 1 d e i ( l + 2 − m ) β 2 d | 2 = 1 N 2 ∑ l = 0 N − 1 | ∑ m = 1 l + 1 e i m ( β 1 − β 2 d ) | 2 + ∑ l = N 2 N − 2 | ∑ m = l + 2 − N N e i m ( β 1 − β 2 ) d | 2 = 1 N 2 ∑ l = 0 N − 1 sin 2 ( ( l + 1 ) ( β 1 − β 2 ) d / 2 ) sin 2 ( ( β 1 − β 2 ) d / 2 ) + ∑ l = N 2 N − 2 sin 2 ( ( l + 1 − 2 N ) ( β 1 − β 2 ) d / 2 ) sin 2 ( ( β 1 − β 2 ) d / 2 ) = 1 N 2 ∑ l ′ = − N N − 1 sin 2 ( ( l ′ + 1 ) ( β 1 − β 2 ) d / 2 ) sin 2 ( ( β 1 − β 2 ) d / 2 ) .

Metrics