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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 14 — Jul. 4, 2011
  • pp: 13192–13200

Soliton triads ensemble in frequency conversion: from inverse scattering theory to experimental observation

Fabio Baronio, Marco Andreana, Matteo Conforti, Gabriele Manili, Vincent Couderc, Costantino De Angelis, and Alain Barthélémy  »View Author Affiliations


Optics Express, Vol. 19, Issue 14, pp. 13192-13200 (2011)
http://dx.doi.org/10.1364/OE.19.013192


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Abstract

We consider the spectral theory of three–wave interactions to predict the initiation, formation and dynamics of an ensemble of bright–dark–bright soliton triads in frequency conversion processes. Spatial observation of non–interacting triads ensemble in a KTP crystal confirms theoretical prediction and numerical simulations.

© 2011 OSA

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: March 11, 2011
Revised Manuscript: May 9, 2011
Manuscript Accepted: May 26, 2011
Published: June 22, 2011

Citation
Fabio Baronio, Marco Andreana, Matteo Conforti, Gabriele Manili, Vincent Couderc, Costantino De Angelis, and Alain Barthélémy, "Soliton triads ensemble in frequency conversion: from inverse scattering theory to experimental observation," Opt. Express 19, 13192-13200 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-14-13192


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References

  1. D. J. Kaup, A. Reiman, and A. Bers, “Space-time evolution of nonlinear three-wave interactions. I. interaction in a homogeneous medium,” Rev. Mod. Phys. 51, 275–309 (1979). [CrossRef]
  2. V. E. Zakharov and S. V. Manakov, “Resonant interaction of wave packets in nonlinear media,” JETP Lett. 18, 243–245 (1973).
  3. V. E. Zakharov, What is Integrability? (Springer-Verlag, 1991).
  4. A. Hasegawa, Plasma Instabilities and Nonlinear Effects (Springer-Verlag, 2001).
  5. W. Cheng, Y. Avitzour, Y. Ping, S. Suckewer, N. Fisch, M. Hur, and J. Wurtele, “Reaching the nonlinear regime of raman amplification of ultrashort laser pulses,” Phys. Rev. Lett. 94, 045003 (2005). [CrossRef] [PubMed]
  6. E. Ibragimov and A. Struthers, “Second harmonic pulse compression in the soliton regime,” Opt. Lett. 21, 1582–1584 (1996). [CrossRef] [PubMed]
  7. A. Picozzi and M. Haelterman, “Spontaneous formation of symbiotic solitary waves in a backward quasi-phase-matched parametric oscillator,” Opt. Lett. 23, 1808–1810 (1998). [CrossRef]
  8. A. Degasperis, M. Conforti, F. Baronio, and S. Wabnitz, “Stable control of pulse speed in parametric three-wave solitons,” Phys. Rev. Lett. 97, 093901 (2006). [CrossRef] [PubMed]
  9. M. Conforti, F. Baronio, A. Degasperis, and S. Wabnitz, “Parametric frequency conversion of short optical pulses controlled by a CW background,” Opt. Express 15, 12246–12251 (2007). [CrossRef] [PubMed]
  10. A. Craik, Wave Interactions and Fluid Flows (Cambridge Univ. Press, 1985).
  11. K. Lamb, “Tidally generated near-resonant internal wave triads at shelf break,” Geophys. Res. Lett. 34, L18607 (2007). [CrossRef]
  12. E. Segre, Collected Papers of Enrico Fermi (University of Chicago Press, 1965).
  13. J. Ibanez and E. Verdaguer, “Soliton collision in general-relativity,” Phys. Rev. Lett. 51, 1313 (1983). [CrossRef]
  14. A. R. Osborne, M. Onorato, M. Serio, and L. Bergamasco, “Soliton creation and destruction, resonant interactions, and inelastic collisions in shallow water waves,” Phys. Rev. Lett. 81, 3559 (1998). [CrossRef]
  15. B. Damski and W. Zurek, “Soliton creation during a Bose-Einstein Condensation,” Phys. Rev. Lett. 104, 160404 (2010). [CrossRef] [PubMed]
  16. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: from Fibers to Photonic Crystals (Academic Press, 2003).
  17. C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, “Observation of a gradient catastrophe generating solitons,” Phys. Rev. Lett. 102, 083902 (2009). [CrossRef] [PubMed]
  18. K. Nozaki and T. Taniuti, “Propagation of solitary pulses in interactions of plasma waves,” J. Phys. Soc. Jpn. 34, 796–800 (1973). [CrossRef]
  19. A. Abdolvand, A. Nazarkin, A. Chugreev, C. Kaminski, and P. Russel, “Solitary pulse generation by backward raman scattering in H-2-filled photonic crystal fibers,” Phys. Rev. Lett. 103, 183902 (2009). [CrossRef] [PubMed]
  20. F. Baronio, M. Conforti, M. Andreana, V. Couderc, C. De Angelis, S. Wabnitz, A. Barthelemy, and A. Degasperis, “Frequency generation and solitonic decay in three wave interactions,” Opt. Express 17, 13889–13894 (2009). [CrossRef] [PubMed]
  21. F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, and A. Barthelemy, “Velocity-locked solitary waves in quadratic media,” Phys. Rev. Lett 104, 113902 (2010). [CrossRef] [PubMed]
  22. A. Degasperis, M. Conforti, F. Baronio, S. Wabnitz, and S. Lombardo, “The three-wave resonant interaction equations: spectral and numerical methods,” Lett. Math. Phys. 96, 367 (2011). [CrossRef]
  23. M. Conforti, F. Baronio, A. Degasperis, and S. Wabnitz, “Inelastic scattering and interactions of three-wave parametric solitons,” Phys. Rev. E 74, 065602 (2006). [CrossRef]
  24. A. Fratalocchi, C. Conti, G. Ruocco, and S. Trillo “Free-energy transition in a gas of noninteracting nonlinear wave particles,” Phys. Rev. Lett. 101, 044101 (2008). [CrossRef] [PubMed]

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