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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 28 — Dec. 31, 2012
  • pp: 29761–29768

Observation of non-diffracting behavior at the single-photon level

Héctor Cruz-Ramírez, Roberto Ramírez-Alarcón, Francisco J. Morelos, Pedro A. Quinto-Su, Julio C. Gutiérrez-Vega, and Alfred B. U’Ren  »View Author Affiliations

Optics Express, Vol. 20, Issue 28, pp. 29761-29768 (2012)

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We demonstrate the generation of non-diffracting heralded single photons, i.e. which are characterized by a single-photon transverse intensity distribution which remains essentially unchanged over a significant propagation distance. For this purpose we have relied on the process of spontaneous parametric downconversion (SPDC) for the generation of signal and idler photon pairs, where our SPDC crystal is pumped by a Bessel-Gauss (BG) beam. Our experiment shows that the well-understood non-diffracting behavior of a BG beam may be directly mapped to the signal-mode, single photons heralded by the detection of a single idler photon. In our experiment, the heralded single photon is thus arranged to be non-diffracting without the need for projecting its single-photon transverse amplitude, post-generation, in any manner.

© 2012 OSA

OCIS Codes
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(260.1960) Physical optics : Diffraction theory
(270.0270) Quantum optics : Quantum optics

ToC Category:
Quantum Optics

Original Manuscript: October 11, 2012
Revised Manuscript: November 29, 2012
Manuscript Accepted: November 30, 2012
Published: December 20, 2012

Héctor Cruz-Ramírez, Roberto Ramírez-Alarcón, Francisco J. Morelos, Pedro A. Quinto-Su, Julio C. Gutiérrez-Vega, and Alfred B. U’Ren, "Observation of non-diffracting behavior at the single-photon level," Opt. Express 20, 29761-29768 (2012)

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  1. J. Durnin, J.J. Micely, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett.58, 1499–1501 (1987). [CrossRef] [PubMed]
  2. J. Turunen and A. Friberg, “Propagation-invariant optical fields,” Progress in Optics54, 2–81 (2009).
  3. J. C. Gutierrez-Vega and M. A. Bandres, “Helmholtz–Gauss waves,” J. Opt. Soc. Am. A22, 289–298 (2005).
  4. D.C. Burnham and D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett.25, 84–87 (1970). [CrossRef]
  5. see for example: J.P. Torres, K. Banaszek, and I.A. Walmsley, “Engineering nonlinear optic sources of photonic entanglement,” Prog. in Opt.56227–331 (2011) [CrossRef]
  6. A.B. U’Ren, K Banaszek, and I.A. Walmsley, “Photon engineering for quantum information processing,” Quant. Inf. and Comp. J.3480–502 (2003)
  7. S. P. Walborn, C. H. Monken, S. Pádua, and P. H. Souto Ribero, “Spatial correlations in parametric down-conversion.” Phys. Rep.495, 87–139 (2010). [CrossRef]
  8. A. Valencia, A. Cer, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping the waveform of entangled photons,” Phys. Rev. Lett.99, 243601 (2007) [CrossRef]
  9. see for example: G. Molina-Terriza, J.P. Torres, and L. Torner, “Twisted photons,” Nature Physics3305–310 (2007) [CrossRef]
  10. C. H. Monken, P. H. Souto Ribeiro, and S. Pádua, “Transfer of angular spectrum and image formation in spontaneous parametric down-conversion,” Phys. Rev. A57, 3123–3126 (1998). [CrossRef]
  11. G. Molina-Terriza, S. Minardi, Y. Deyanova, C. I. Osorio, M. Hendrych, and J.P. Torres, “Control of the shape of the spatial mode function of photons generated in noncollinear spontaneous parametric down-conversion,” Phys. Rev. A72, 065802 (2005). [CrossRef]
  12. J. Lekki, Q.V. Nguyen, M. Seibert, K. Weiland, and J. Williams, “Single-photon non-diffracting Bessel beams,” Proc SPIE5531(2004)
  13. Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted nondiffracting beam,” Opt. Comm.151, 207–211 (1998). [CrossRef]
  14. G. Gbur and O. Korotkova, “Angular spectrum representation for the propagation of arbitrary coherent and partially coherent beams through atmospheric turbulence,” J. Opt. Soc. Am. A24, 745–752 (2007) [CrossRef]
  15. R.J. Noriega-Manez and J.C. Gutirrez-Vega, “Rytov theory for Helmholtz-Gauss beams in turbulent atmosphere,” Opt. Express15, 16328–16341 (2007) [CrossRef] [PubMed]
  16. R. Ramirez-Alarcon, H. Cruz-Ramirez, and A.B. U’Ren, “Crystal length effects on the angular spectrum of spontaneous parametric downconversion photon pairs,” submitted
  17. R. S. Bennink, Y. Liu, D. D. Earl, and W. P. Grice, “Spatial distinguishability of photons produced by spontaneous parametric down-conversion with a focused pump,” Phys. Rev. A74, 023802 (2006). [CrossRef]
  18. H. Di Lorenzo Pires, C.H. Monken, and M.P. van Exter, “Near-field correlations in the two-photon field,” Phys. Rev. A80, 022307 (2009). [CrossRef]

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