Laser Physics

, Volume 20, Issue 5, pp 1221–1233 | Cite as

Theory of cavity-enhanced spontaneous parametric downconversion

  • Y. Jeronimo-Moreno
  • S. Rodriguez-Benavides
  • A. B. U’Ren
Quantum Information Science


In this paper we study photon pairs generated in a nonlinear cavity composed of a nonlinear crystal surrounded by mirrors, by the process of spotaneous parametric downconversion. We analyze two different regimes: singly-resonant cavities where the signal and idler modes are resonant and doubly-resonant cavities where the pump mode is also resonant. We present analytic expressions for the joint spectral amplitude in these two cases and study the reduction in emission bandwidth as the cavity coefficient finesse is increased. We also study the enhancement of the source brightness from the presence of the cavity.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn and I. A. Walmsley, Phys. Rev. Lett. 100, 133601 (2008).CrossRefADSGoogle Scholar
  2. 2.
    K. A. O’Donnell and A. B. U’Ren, Opt. Lett. 32, 817 (2007).CrossRefADSGoogle Scholar
  3. 3.
    T. J. Herzog, J. G. Rarity, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 72, 629 (1994).CrossRefADSGoogle Scholar
  4. 4.
    F. Konig, E. J. Mason, F. N. C. Wong, and M. A. Albota, Phys. Rev. A 71, 033805 (2005).CrossRefADSGoogle Scholar
  5. 5.
    A. Fedrizzi, T. Herbst, A. Poppe, T. Jennewein, and A. Zeilinger, Opt. Express 15, 15377 (2007).CrossRefADSGoogle Scholar
  6. 6.
    C. E. Kuklewicz, F. N. C. Wong, and J. H. Shapiro, Phys. Rev. Lett. 97, 223601 (2006).CrossRefADSGoogle Scholar
  7. 7.
    H. Wang, T. Horikiri, and T. Kobayashi, Phys. Rev. A 70, 043804 (2004).CrossRefADSGoogle Scholar
  8. 8.
    J. S. Neergaard-Nielsen, B. Melholt Nielsen, H. Takahashi, A. I. Vistnes, and E. S. Polzik, Opt. Exp. 15, 7940 (2007).CrossRefADSGoogle Scholar
  9. 9.
    A. Haase, N. Piro, J. Eschner, and M. W. Mitchell, Opt. Lett. 34, 55 (2009).CrossRefADSGoogle Scholar
  10. 10.
    Z. Y. Ou and Y. J. Lu, Phys. Rev. Lett. 83, 2556 (1999).CrossRefADSGoogle Scholar
  11. 11.
    Y. J. Lu and Z. Y. Ou, Phys. Rev. A 62, 033804 (2000).CrossRefADSGoogle Scholar
  12. 12.
    R. Andrews, E. R. Pike, and S. Sarkar, Appl. Opt. 40, 4050 (2001).CrossRefADSGoogle Scholar
  13. 13.
    P. Hariharan and B. C. Sanders, J. Mod. Opt. 47, 1739 (2000).ADSGoogle Scholar
  14. 14.
    G. Klemens and Y. Fainman, Opt. Exp. 14, 9864 (2006).CrossRefADSGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • Y. Jeronimo-Moreno
    • 1
  • S. Rodriguez-Benavides
    • 2
  • A. B. U’Ren
    • 2
  1. 1.Departmento de ÓpticaCentro de Investigación Científica y Educacion Superior de Ensenada (CICESE)Baja CaliforniaMéxico
  2. 2.Instituto de Ciencias NuclearesUniversidad National Autónoma de MéxicoDistrito FederalMéxico

Personalised recommendations