OSA's Digital Library

Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 1, Iss. 1 — Jul. 7, 1997
  • pp: 21–31

From quantum to classical images

A. Gatti, L.A. Lugiato, Gian-Luca Oppo, Richard Martin, P. Di Trapani, and A. Berzanskis  »View Author Affiliations

Optics Express, Vol. 1, Issue 1, pp. 21-31 (1997)

View Full Text Article

Enhanced HTML    Acrobat PDF (506 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We display the results of the numerical simulations of a set of Langevin equations, which describe the dynamics of a degenerate optical parametric oscillator in the Wigner representation. The scan of the threshold region shows the gradual transformation of a quantum image into a classical roll pattern. An experiment on parametric down- conversion in lithium triborate shows strikingly similar results in both the near and the far field, displaying qualitatively the classical features of quantum images.

© Optical Society of America

OCIS Codes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(270.2500) Quantum optics : Fluctuations, relaxations, and noise

ToC Category:
Research Papers

Original Manuscript: June 25, 1997
Revised Manuscript: June 25, 1997
Published: July 7, 1997

Alessandra Gatti, Luigi Lugiato, Gian-Luca Oppo, Richard Martin, Paolo Di Trapani, and A. Berzanskis, "From quantum to classical images," Opt. Express 1, 21-31 (1997)

Sort:  Journal  |  Reset  


  1. H. Haken, "Synergetics - An introduction" (Springer-Verlag, Berlin 1977)
  2. G. Nicolis and I. Prigogine, "Self Organization in Nonequilibrium Systems" (Wiley, New York 1977)
  3. L. A. Lugiato ed., Special Issue on "Nonlinear Optical Structures, Pattern, Chaos", Chaos Solitons and Fractals, August/September 1994
  4. A. Gatti and L.A. Lugiato, "Quantum Images and Critical Fluctuations in the Optical Parametric Oscillator Below Threshold", Phys. Rev. A 52, 1675 (1995) [CrossRef] [PubMed]
  5. A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.-L. Oppo and S.M. Barnett , \Langevin treatment of quantum uctuations and optical patterns in optical parametric oscillators below threshold", Phys. Rev. A, in press (July 1997) [CrossRef]
  6. I. Marzoli, A. Gatti, and L.A. Lugiato, \Spatial quantum signatures in parametric downconver- sion", Phys. Rev. Lett. 78, 2092 (1997) [CrossRef]
  7. P. D. Drummond, K.J. McNeil, and D.F. Walls, "Non-equilibriumtransitions in sub/second harmonic generation", Optica Acta 27, 321 (1980); "Non-equilibrium transitions in subsecond harmonic generation. II. Quantum theory", Optica Acta 28, 211 (1981) [CrossRef]
  8. G.-L. Oppo, M. Brambilla, and L.A. Lugiato, "Formation and evolution of rolls pattern in optical parametric oscillators", Phys. Rev A 49, 2028 (1994) [CrossRef] [PubMed]
  9. L. A. Lugiato and A. Gatti, "Spatial Structure of a Squeezed vacuum", Phys. Rev. Lett. 70, 3868 (1993) [CrossRef] [PubMed]
  10. E. M. Nagasako, R.W. Boyd, and G.B. Agarwal, "Vacuum eld induced lamentation in laser beam propagation", Phys. Rev. A 55, 1412 (1997) [CrossRef]
  11. S. X. Dou, D. Josse, and J. Zyss, "Comparison of collinear and one-beam noncollinear phase matching in optical parametric amplification", J. Opt. Soc. Am B 9, 1312 (1992) [CrossRef]
  12. P. Di Trapani, A. Andreoni, G. P. Banfi, C. Solcia, R. Danielius, P. Foggi, M. Monguzzi, A. Piskarskas and C. Sozzi, "Group-velocity self-matching of femtosecond pulses in non-collinear parametric generation", Phys. Rev. A 51, 3164 (1995) [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

Supplementary Material

» Media 1: MOV (459 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited