OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 12 — Jun. 17, 2013
  • pp: 14481–14486

Soliton interaction mediated by cascaded four wave mixing with dispersive waves

A. V. Yulin, R. Driben, B. A. Malomed, and D. V. Skryabin  »View Author Affiliations


Optics Express, Vol. 21, Issue 12, pp. 14481-14486 (2013)
http://dx.doi.org/10.1364/OE.21.014481


View Full Text Article

Enhanced HTML    Acrobat PDF (1604 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We demonstrate that trapping of dispersive waves between two optical solitons takes place when resonant scattering of the waves on the solitons leads to nearly perfect reflections. The momentum transfer from the radiation to solitons results in their mutual attraction and a subsequent collision. The spectrum of the trapped radiation can either expand or shrink in the course of the propagation, which is controlled by arranging either collision or separation of the solitons.

© 2013 OSA

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.4223) Nonlinear optics : Nonlinear wave mixing
(320.6629) Ultrafast optics : Supercontinuum generation

ToC Category:
Nonlinear Optics

History
Original Manuscript: May 9, 2013
Revised Manuscript: May 24, 2013
Manuscript Accepted: May 24, 2013
Published: June 10, 2013

Citation
A. V. Yulin, R. Driben, B. A. Malomed, and D. V. Skryabin, "Soliton interaction mediated by cascaded four wave mixing with dispersive waves," Opt. Express 21, 14481-14486 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-12-14481


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. D.V. Skryabin and A.V. Gorbach, “Looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys.82, 1287–1299 (2010). [CrossRef]
  2. J. M. Dudley, G. Genty, and S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys78, 1135–1184 (2006). [CrossRef]
  3. N. Akhmediev and M. Karlsson, “Cherenkov radiation emitted by solitons in optical fibers,” Phys. Rev. A51, 2602–2607 (1995). [CrossRef] [PubMed]
  4. D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, “Soliton self-frequency shift cancellation in photonic crystal fibers,” Science301, 1705–1708 (2003). [CrossRef] [PubMed]
  5. A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, “Four-wave mixing of linear waves and solitons in fibers with higher-order dispersion,” Opt. Lett.29, 2411–2413 (2004). [CrossRef] [PubMed]
  6. D. V. Skryabin and A. V. Yulin, “Theory of generation of new frequencies by mixing of solitons and dispersive waves in optical fibers,” Phys. Rev. E72, 016619 (2005). [CrossRef]
  7. A. Demircan, S. Amiranashvili, and G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett.106, 163901 (2011). [CrossRef] [PubMed]
  8. A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. St. J. Russell, “Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: Experiment and modelling,” Opt. Express12, 6499–6507 (2004). [CrossRef]
  9. A. Efimov, A. V. Yulin, D. V. Skryabin, J. C. Knight, N. Joly, F. G. Omenetto, A. J. Taylor, and P. Russell, “Interaction of an optical soliton with a dispersive wave,” Phys. Rev. Lett.95, 213902 (2005). [CrossRef] [PubMed]
  10. A. Efimov, A. J. Taylor, A. V. Yulin, D. V. Skryabin, and J. C. Knight, “Phase-sensitive scattering of a continuous wave on a soliton,” Opt. Lett.31, 1624 (2006). [CrossRef] [PubMed]
  11. B. A. Malomed, “Potential of interaction between two- and three-dimensional solitons,” Phys. Rev. E58, 7928–7933 (1998). [CrossRef]
  12. F. Luan, D. V. Skryabin, A. V. Yulin, and J. C. Knight, “Energy exchange between colliding solitons in photonic crystal fibers,” Opt. Express14, 9844–9853 (2006). [CrossRef] [PubMed]
  13. R Driben and B. A Malomed, “Suppression of crosstalk between solitons in a multi-channel split-step system,” Opt. Commun.197, 481–489 (2001) [CrossRef]
  14. G. Agrawal, Nonlinear Fiber Optics (Academic Press, New York, 2007).
  15. W. H. Loh, A. B. Grudinin, V. V. Afanasjev, and D. N. Payne, “Soliton interaction in the presence of a weak nonsoliton component,” Opt. Lett.19, 698–700 (1994). [CrossRef] [PubMed]
  16. N. N. Akhmediev and A. V. Buryak, “Interactions of solitons with oscillating tails,” Opt. Commun.121, 109–114 (1995). [CrossRef]
  17. P. J. Hardman, P. D. Townsend, A. J. Poustie, and K. J. Blow, “Experimental investigation of resonant enhancement of the acoustic interaction of optical pulses in an optical fiber,” Opt. Lett.21, 393–395 (1996). [CrossRef] [PubMed]
  18. A. Podlipensky, P. Szarniak, N. Y. Joly, C. G. Poulton, and P. St. J. Russell, “Bound soliton pairs in photonic crystal fiber,” Opt. Express15, 1653–1662 (2007) [CrossRef] [PubMed]
  19. R. Driben, F. Mitschke, and N. Zhavoronkov, “Cascaded interactions between Raman induced solitons and dispersive waves in photonic crystal fibers at the advanced stage of supercontinuum generation,” Opt. Express18, 25993–25998 (2010). [CrossRef] [PubMed]
  20. A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, and G. Steinmeyer, “Rogue events in the group velocity horizon,” Scientific Reports2, 850 (2012). [CrossRef] [PubMed]
  21. R. Driben and I. V. Babushkin, “Accelerated rogue waves generated by soliton fusion at the advanced stage of supercontinuum formation in photonic crystal fibers,” Opt. Lett.37, 5157–5159 (2012). [CrossRef] [PubMed]
  22. R. Driben and N. Zhavoronkov, “Supercontinuum spectrum control in microstructure fibers by initial chirp management,” Opt. Express18, 16733 (2010). [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.

Figures

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

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited