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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry Van Driel
  • Vol. 26, Iss. 12 — Dec. 1, 2009
  • pp: 2280–2284

Optical wave turbulence and the condensation of light

Umberto Bortolozzo, Jason Laurie, Sergey Nazarenko, and Stefania Residori  »View Author Affiliations


JOSA B, Vol. 26, Issue 12, pp. 2280-2284 (2009)
http://dx.doi.org/10.1364/JOSAB.26.002280


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Abstract

In an optical experiment, we report a wave turbulence regime that, starting with weakly nonlinear waves with randomized phases, shows an inverse cascade of photons toward the lowest wavenumbers. We show that the cascade is induced by a six-wave resonant interaction process and is characterized by increasing nonlinearity. At low wavenumbers the nonlinearity becomes strong and leads to modulational instability developing into solitons, whose number is decreasing farther along the beam.

© 2009 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.3100) Nonlinear optics : Instabilities and chaos
(190.3270) Nonlinear optics : Kerr effect
(190.4223) Nonlinear optics : Nonlinear wave mixing
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: June 29, 2009
Revised Manuscript: October 15, 2009
Manuscript Accepted: October 16, 2009
Published: November 9, 2009

Citation
Umberto Bortolozzo, Jason Laurie, Sergey Nazarenko, and Stefania Residori, "Optical wave turbulence and the condensation of light," J. Opt. Soc. Am. B 26, 2280-2284 (2009)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-26-12-2280


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References

  1. S. Dyachenko, A. C. Newell, A. Pushkarev, and V. E. Zakharov, “Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation,” Physica D 57, 96-160 (1992). [CrossRef]
  2. S. L. Musher, A. M. Rubenchik, and V. E. Zakharov, “Hamiltonian approach to the description of nonlinear plasma phenomena,” Phys. Rep. 129, 285-366 (1985). [CrossRef]
  3. S. Nazarenko and V. Zakharov, “Dynamics of the Bose-Einstein condensation,” Physica D 201, 203-211 (2005). [CrossRef]
  4. C. Connaughton, C. Josserand, A. Picozzi, Y. Pomeau, and S. Rica, “Condensation of classical nonlinear waves,” Phys. Rev. Lett. 95, 263901 (2005). [CrossRef]
  5. S. Nazarenko and M. Onorato, “Wave turbulence and vortices in Bose-Einstein condensation,” Physica D 219, 1 (2006). [CrossRef]
  6. F. T. Arecchi, G. Giacomelli, P. L. Ramazza, and S. Residori, “Vortices and defect statistics in two-dimensional optical chaos,” Phys. Rev. Lett. 67, 3749 (1991). [CrossRef] [PubMed]
  7. G. A. Swartzlander, Jr., and C. T. Law, “Optical vortex solitons observed in Kerr nonlinear media,” Phys. Rev. Lett. 69, 2503 (1992). [CrossRef] [PubMed]
  8. C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32, 2930 (2007). [CrossRef] [PubMed]
  9. V. E. Zakharov and N. N. Filonenko, “The energy spectrum for stochastic oscillations of a fluid surface,” Sov. Phys. Dokl. 11, 881-884 (1967).
  10. V. E. Zakharov, V. S. Lvov, and G. Falkovich, Kolmogorov Spectra of Turbulence (Springer-Verlag, 1992).
  11. F. Dias, A. Pushkarev, and V. Zakharov, “One-dimensional wave turbulence,” Phys. Rep. 398, 1-65 (2004). [CrossRef]
  12. A. J. Majda, D. W. McLaughlin, and E. G. Tabak, “A one-dimensional model for dispersive wave turbulence,” J. Nonlinear Sci. 6, 9-44 (1997). [CrossRef]
  13. D. Cai, A. J. Majda, D. W. McLaughlin, and E. G. Tabak, “Dispersive wave turbulence in one dimension,” Physica D 152-153, 551-572 (2001). [CrossRef]
  14. V. E. Zakharov, A. N. Pushkarev, V. F. Shvets, and V. V. Yan'kov, “Soliton turbulence,” JETP Lett. 48, No. 2, 83-87 (1988).
  15. S. Pitois, S. Lagrange, H. R. Jauslin, and A. Picozzi, “Velocity locking of inocherent nonlinear wave packets,” Phys. Rev. Lett. 97, 033902 (2006). [CrossRef] [PubMed]
  16. A. Picozzi, S. Pitois, and G. Millot, “Spectral incoherent solitons: a localized soliton behavior in the frequency domain,” Phys. Rev. Lett. 101, 093901 (2008). [CrossRef] [PubMed]
  17. R. Jordan, B. Turkington, and C. L. Zirbel, “A mean-field statistical theory for the nonlinear Schrödinger equation,” Physica D 137, 353-378 (2000). [CrossRef]
  18. K. Ø. Rasmussen, T. Cretegny, P. G. Kevrekidis, and N. Grønbech-Jensen, “Statistical mechanics of a discrete nonlinear system,” Phys. Rev. Lett. 84, 3740-3743 (2000). [CrossRef] [PubMed]
  19. R. Jordan and C. Josserand, “Self-organization in nonlinear wave turbulence,” Phys. Rev. E 61, 1527-1539 (2000). [CrossRef]
  20. A. Eisner and B. Turkington, “Nonequilibrium statistical behavior of nonlinear Schrödinger equations,” Physica D 213, 85-97 (2006). [CrossRef]
  21. B. Barviau, B. Kibler, A. Kudlinski, A. Mussot, H. Millot, and A. Picozzi, “Experimental signature of optical wave thermalization through supercontinuum generation in photonic crystal fiber,” Opt. Express 17, 7392-7406 (2009). [CrossRef] [PubMed]
  22. B. Rumpf and A. C. Newell, “Localization and coherence in nonintegrable systems,” Physica D 184, 162-191 (2003). [CrossRef]
  23. B. Rumpf and A. C. Newell, “Coherent structures and entropy in constrained, modulationally unstable, nonintegrable systems,” Phys. Rev. Lett. 87, 054102 (2001). [CrossRef] [PubMed]
  24. V. I. Petviashvili and V. V. Yan'kov, “Solitons and turbulence,” Rev. Plasma Phys. 14, 1-62 (1989).
  25. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, “Observation of Bose-Einstein condensation in a dilute atomic vapor,” Science 269, 198-201 (1995). [CrossRef] [PubMed]
  26. L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Clarendon, 2003).
  27. R. Y. Chiao and J. Boyce, “Bogoliubov dispersion relation and the possibility of superfluidity for weakly interacting photons in a two-dimensional photon fluid,” Phys. Rev. A 60, 4114-4121 (1999). [CrossRef]
  28. N. V. Tabiryan, A. V. Sukhov, and V. Y. Zeldovich, “The orientational optical nonlinearity of liquid crystals,” Mol. Cryst. Liq. Cryst. 136, 1-140 (1986). [CrossRef]
  29. I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley, 1995).
  30. E. Braun, L. P. Faucheux, and A. Libchaber, “Strong self-focusing in nematic liquid crystals,” Phys. Rev. A 48, 611-622 (1993). [CrossRef] [PubMed]
  31. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “Routing of anisotropic spatial solitons and modulational instability in liquid crystals,” Nature 432, 733-737 (2004). [CrossRef] [PubMed]
  32. M. Peccianti, C. Conti, and G. Assanto, “Optical modulational instability in a nonlocal medium,” Phys. Rev. E 68, 025602 (2003). [CrossRef]
  33. C. Conti, M. Peccianti, and G. Assanto, “Complex dynamics and configurational entropy of spatial optical solitons in nonlocal media,” Opt. Lett. 31, 2030 (2006). [CrossRef] [PubMed]
  34. P. G. De Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Oxford Science Publications, Clarendon, 1993).
  35. U. Bortolozzo, J. Laurie, S. Nazarenko, and S. Residori are preparing a larger manuscript to be called “One-dimensional optical wave turbulence.”

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