Abstract

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. c 1997 Optical Society of America

© Optical Society of America

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  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)
  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)
  6. I. Marzoli, A. Gatti, and L.A. Lugiato, \Spatial quantum signatures in parametric downconver- sion", Phys. Rev. Lett. 78, 2092 (1997)
  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)
  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)
  9. L. A. Lugiato and A. Gatti, "Spatial Structure of a Squeezed vacuum", Phys. Rev. Lett. 70, 3868 (1993)
  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)
  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)
  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)

Other (12)

H. Haken, "Synergetics - An introduction" (Springer-Verlag, Berlin 1977)

G. Nicolis and I. Prigogine, "Self Organization in Nonequilibrium Systems" (Wiley, New York 1977)

L. A. Lugiato ed., Special Issue on "Nonlinear Optical Structures, Pattern, Chaos", Chaos Solitons and Fractals, August/September 1994

A. Gatti and L.A. Lugiato, "Quantum Images and Critical Fluctuations in the Optical Parametric Oscillator Below Threshold", Phys. Rev. A 52, 1675 (1995)

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)

I. Marzoli, A. Gatti, and L.A. Lugiato, \Spatial quantum signatures in parametric downconver- sion", Phys. Rev. Lett. 78, 2092 (1997)

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)

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)

L. A. Lugiato and A. Gatti, "Spatial Structure of a Squeezed vacuum", Phys. Rev. Lett. 70, 3868 (1993)

E. M. Nagasako, R.W. Boyd, and G.B. Agarwal, "Vacuum eld induced lamentation in laser beam propagation", Phys. Rev. A 55, 1412 (1997)

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)

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)

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