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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 17, Iss. 4 — Apr. 1, 2000
  • pp: 580–585

Transverse effects in a parametric downconversion process in three dimensions

S. Severini, C. Sibilia, and M. Bertolotti  »View Author Affiliations

JOSA B, Vol. 17, Issue 4, pp. 580-585 (2000)

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A theoretical analysis of a traveling-wave difference-frequency-generation problem in three-dimensional space was performed. We found that, under a suitable hypothesis of low conversion efficiency in anisotropic nonlinear crystals, the nonlinear interaction gives a diffraction-free propagation condition for particular J0 Bessel beams and modulation instability phenomena for other J0 Bessel beams.

© 2000 Optical Society of America

OCIS Codes
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

S. Severini, C. Sibilia, and M. Bertolotti, "Transverse effects in a parametric downconversion process in three dimensions," J. Opt. Soc. Am. B 17, 580-585 (2000)

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  1. H.-A. Bachor, A Guide to Experiments in Quantum Optics (Wiley, New York, 1998).
  2. L. Lugiato and A. Gatti, “Spatial structure of a squeezed vacuum,” Phys. Rev. Lett. 70, 3868–3871 (1993). [CrossRef] [PubMed]
  3. A. Gatti and L. Lugiato, “Quantum images and critical fluctuations in the optical parametric oscillator below threshold,” Phys. Rev. Lett. 52, 1675–1690 (1995).
  4. R. Horák, M. Bertolotti, and C. Sibilia, “A linearized approach for diffraction-free propagation in a planar nonlinear waveguide,” J. Mod. Opt. 41, 1615–1623 (1994). [CrossRef]
  5. R. Horák, J. Bajer, M. Bertolotti, and C. Sibilia, “Diffraction-free field in a planar nonlinear waveguide,” Phys. Rev. E 52, 4421–4429 (1995). [CrossRef]
  6. P. Di Trapani, G. Valiulis, W. Chinaglia, and A. Andreoni, “Two-dimensional spatial solitary waves from travelling wave parametric amplification of the quantum noise,” Phys. Rev. Lett. 80, 265–268 (1998). [CrossRef]
  7. G. J. Milburn and D. F. Walls, Quantum Optics (Springer-Verlag, New York, 1995).
  8. S. M. Barnet and P. M. Radmore, Methods in Theoretical Quantum Optics (Clarendon, Oxford, UK, 1997).
  9. J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987). [CrossRef] [PubMed]
  10. T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70, 1401–1404 (1993). [CrossRef] [PubMed]
  11. P. Di Trapani, A. Berkanskis, S. Minardi, S. Sapone, and W. Chinaglia, “Observation of optical vortices and J0 Bessel-like beams in quantum-noise parametric amplification,” Phys. Rev. Lett. 81, 5133–5136 (1998). [CrossRef]
  12. N. Bloembergen, R. J. Glauber, and N. M. Kroll, Quantum Optics and Electronics (Gordon & Breach, New York, 1965).
  13. G. Assanto and I. Torelli, “Cascading effects in type II second-harmonic generation: applications to all-optical processing,” Opt. Commun. 119, 143–148 (1995). [CrossRef]
  14. C. Sibilia, V. Schiavone, M. Bertolotti, R. Horák, and J. Perina, “Nonclassical spatial properties of light propagation in dissipative nonlinear waveguides,” J. Opt. Soc. Am. B 11, 2175–2181 (1994). [CrossRef]
  15. S. Trillo and P. Ferro, “Modulational instability in second-harmonic generation,” Opt. Lett. 20, 438–443 (1995). [CrossRef] [PubMed]
  16. F. Gori, Elementi di Ottica (Ed. Academica, Rome, 1997).
  17. J. Bajer and R. Horák, “Nondiffractive fields,” Phys. Rev. E 54, 3052–3054 (1996). [CrossRef]

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