OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 12 — Jun. 8, 2009
  • pp: 9608–9613

Quasi-periodic transformations of nonlocal spatial solitons

Daniel Buccoliero and Anton S. Desyatnikov  »View Author Affiliations

Optics Express, Vol. 17, Issue 12, pp. 9608-9613 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (554 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We study quasi-periodic transformations between nonlocal spatial solitons of different symmetries triggered by modulational instability and resembling a self-induced mode converter. Transformation dynamics of solitons with zero angular momentum, e.g. the quadrupole-type soliton, reveal the equidistant spectrum of spatial field oscillations typical for the breather-type solutions. In contrast, the transformations of nonlocal solitons carrying orbital angular momentum, such as 2×3 soliton matrix, are accompanied by their spiralling and corresponding spectra of field oscillations show mixing of three characteristic spatial frequencies.

© 2009 Optical Society of America

OCIS Codes
(260.6042) Physical optics : Singular optics
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: April 9, 2009
Revised Manuscript: May 5, 2009
Manuscript Accepted: May 20, 2009
Published: May 22, 2009

Daniel Buccoliero and Anton S. Desyatnikov, "Quasi-periodic transformations of nonlocal spatial solitons," Opt. Express 17, 9608-9613 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, 2003).
  2. A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, "Optical vortices and vortex solitons," Prog. Opt. 47, 291-391 (Ed. E. Wolf, Elsevier, 2005). [CrossRef]
  3. C. Conti, M. Peccianti, and G. Assanto, "Observation of Optical Spatial Solitons in a Highly Nonlocal Medium," Phys. Rev. Lett. 92, 113902 (2004). [CrossRef] [PubMed]
  4. C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, "Long-range interactions between optical solitons," Nat. Phys. 2, 769-774 (2006). [CrossRef]
  5. W. Krolikowski, O. Bang, N.I. Nikolov, D. Neshev, J. Wyller, J.J. Rasmussen, and D. Edmundson, "Modulational instability, solitons and beam propagation in spatially nonlocal nonlinear media," J. Opt. B 6, S288-S294 (2004). [CrossRef]
  6. D. Briedis, D. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, "Ring vortex solitons in nonlocal nonlinear media," Opt. Express 13, 435-443 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-2-435 [CrossRef] [PubMed]
  7. A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, "Stable vortex solitons in nonlocal self-focusing nonlinear media," Phys. Rev. E 71, 065603(R) (2005). [CrossRef]
  8. C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, "Solitons in Nonlinear Media with an Infinite Range of Nonlocality: First Observation of Coherent Elliptic Solitons and of Vortex-Ring Solitons," Phys. Rev. Lett. 95, 213904 (2005). [CrossRef] [PubMed]
  9. C. Rotschild, M. Segev, Z. Xu, Y. V. Kartashov, L. Torner, and O. Cohen, "Two-dimensional multipole solitons in nonlocal nonlinear media," Opt. Lett. 31, 3312-3314 (2006). [CrossRef] [PubMed]
  10. S. Lopez-Aguayo, A. S. Desyatnikov, Yu. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, "Stable rotating dipole solitons in nonlocal optical media," Opt. Lett. 31, 1100-1102 (2006). [CrossRef] [PubMed]
  11. S. Lopez-Aguayo, A. S. Desyatnikov, and Yu. S. Kivshar, "Azimuthons in nonlocal nonlinear media," Opt. Express 14, 7903-7908 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-17-7903 [CrossRef] [PubMed]
  12. S. Skupin, M. Grech, andW. Krolikowski, "Rotating soliton solutions in nonlocal nonlinear media," Opt. Express 16, 9118-9131 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-12-9118 [CrossRef] [PubMed]
  13. S. Skupin, M. Saffman, andW. Krolikowski, "Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor," Phys. Rev. Lett. 98, 263902 (2007). [CrossRef] [PubMed]
  14. I. Kaminer, C. Rotschild, O. Manela, and M. Segev, "Periodic solitons in nonlocal nonlinear media," Opt. Lett. 32, 3209-3211 (2007). [CrossRef] [PubMed]
  15. O. Cohen, H. Buljan, T. Schwartz, J. W. Fleischer, and M. Segev, "Incoherent solitons in instantaneous nonlocal nonlinear media," Phys. Rev. E 73, 015601(R) (2006). [CrossRef]
  16. C. Rotschild, T. Schwartz, O. Cohen, and M. Segev, "Incoherent spatial solitons in effectively instantaneous nonlinear media," Nat. Photon. 2, 371-376 (2008). [CrossRef]
  17. A. V. Gorbach and D. V. Skryabin, "Cascaded Generation of Multiply Charged Optical Vortices and Spatiotemporal Helical Beams in a Raman Medium," Phys. Rev. Lett. 98, 243601 (2007). [CrossRef] [PubMed]
  18. A. I. Yakimenko, V. M. Lashkin, and O. O. Prikhodko, "Dynamics of two-dimensional coherent structures in nonlocal nonlinear media," Phys. Rev. E 73, 066605 (2006). [CrossRef]
  19. Y. V. Kartashov, L. Torner, V. A. Vysloukh, and D. Mihalache, "Multipole vector solitons in nonlocal nonlinear media," Opt. Lett. 31, 1483-1485 (2006). [CrossRef] [PubMed]
  20. D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, "Laguerre and Hermite soliton clusters in nonlocal nonlinear media," Phys. Rev. Lett. 98, 053901 (2007). [CrossRef] [PubMed]
  21. Y. V. Kartashov, V. A. Vysloukh, L. Torner, "Stability of vortex solitons in thermal nonlinear media with cylindrical symmetry," Opt. Express 15, 9378-9384 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-15-9378 [CrossRef] [PubMed]
  22. F. Ye, Y. V. Kartashov, L. Torner, "Stabilization of dipole solitons in nonlocal nonlinear media," Phys. Rev. A 77, 043821 (2008). [CrossRef]
  23. D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, "Boundary effects on the dynamics of higher-order optical spatial solitons in nonlocal thermal media," J. Opt. A 11, in press (2009). [CrossRef]
  24. E. G. Abramochkin and V. G. Volostnikov, "Generalized Gaussian beams," J. Opt. A 6, S157-S161 (2004). [CrossRef]
  25. D. Buccoliero, A. S. Desyatnikov,W. Krolikowski, and Yu. S. Kivshar, "Spiraling multivortex solitons in nonlocal nonlinear media," Opt. Lett. 33, 198-200 (2008). [CrossRef] [PubMed]
  26. S. Flach and A. Gorbach, "Discrete breathers-Advances in theory and applications," Phys. Rep. 467, 1 (2008). [CrossRef]
  27. A. Snyder and J. Mitchell, "Accesible Solitons," Science 276, 1538-1541 (1997). [CrossRef]
  28. S. Lopez-Aguayo and J. C. Guti’errez-Vega, "Elliptically modulated self-trapped singular beams in nonlocal nonlinear media: ellipticons," Opt. Express 15, 18326-18338 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-26-18326. [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.


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

Supplementary Material

» Media 1: MOV (456 KB)     
» Media 2: MOV (544 KB)     
» Media 3: MOV (1217 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited