OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 15 — Jul. 23, 2007
  • pp: 9378–9384

Stability of vortex solitons in thermal nonlinear media with cylindrical symmetry

Yaroslav V. Kartashov, Victor A. Vysloukh, and Lluis Torner  »View Author Affiliations

Optics Express, Vol. 15, Issue 15, pp. 9378-9384 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (736 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We analyze the salient features of vortex-ring solitons supported by cylindrically symmetric media with nonlocal thermal nonlinearity. We discover the existence of a maximum allowed topological charge for such vortex solitons to be stable on propagation: Only vortex-ring solitons with topological charge m≤2 are found to be stable. This remarkable result holds independently of the radius of the sample.

© 2007 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Nonlinear Optics

Original Manuscript: June 11, 2007
Revised Manuscript: July 7, 2007
Manuscript Accepted: July 9, 2007
Published: July 13, 2007

Yaroslav V. Kartashov, Victor A. Vysloukh, and Lluis Torner, "Stability of vortex solitons in thermal nonlinear media with cylindrical symmetry," Opt. Express 15, 9378-9384 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, "Modula-tional instability, solitons and beam propagation in spatially nonlocal nonlinear media," J. Opt. B: Quantum and Semiclass. Opt. 6, S288 (2004). [CrossRef]
  2. C. Conti, M. Peccianti, and G. Assanto, "Route to nonlocality and observation of accessible solitons," Phys. Rev. Lett. 91, 073901 (2003). [CrossRef] [PubMed]
  3. C. Conti, M. Peccianti, and G. Assanto, "Observation of optical spatial solitons in highly nonlocal medium," Phys. Rev. Lett. 92, 113902 (2004). [CrossRef] [PubMed]
  4. M. Peccianti, C. Conti, and G. Assanto, "Interplay between nonlocality and nonlinearity in nematic liquid crystals," Opt. Lett. 30, 415 (2005). [CrossRef] [PubMed]
  5. V. A. Mironov, A. M. Sergeev, and E. M. Sher, "Non-unidimensional coupled solitons in field non-linear equations," Dokl. Akad. Nauk SSSR 260, 325 (1981).
  6. S. Lopez-Aguayo, A. S. Desyatnikov, Y. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, "Stable rotating dipole solitons in nonlocal optical media," Opt. Lett. 31, 1100 (2006). [CrossRef] [PubMed]
  7. Y. V. Kartashov, L. Torner, V. A. Vysloukh, and D. Mihalache, "Multipole vector solitons in nonlocal nonlinear media," Opt. Lett. 31, 1483 (2006). [CrossRef] [PubMed]
  8. 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 (2006). [CrossRef] [PubMed]
  9. S. Lopez-Aguayo, A. S. Desyatnikov, and Y. S. Kivshar, "Azimuthons in nonlocal nonlinear media," Opt. Express 14, 7903 (2006). [CrossRef] [PubMed]
  10. V. I. Kruglov, Y. A. Logvin, and V. M. Volkov, "The theory of spiral laser beams in nonlinear media," J. Mod. Opt. 39, 2277 (1992). [CrossRef]
  11. D. Briedis, D. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, "Ring vortex solitons in nonlocal non-linear media," Opt. Express 13, 435 (2005). [CrossRef] [PubMed]
  12. A. I. Yakimenko, Y. A. Zaliznyak, and Y. Kivshar, "Stable vortex solitons in nonlocal self-focusing nonlinear media," Phys. Rev. E 71, 065603(R).
  13. A. M. Deykoon and G. A. Swartzlander, "Pinched optical-vortex soliton," J. Opt. Soc. Am. B 18, 804 (2001). [CrossRef]
  14. S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, "Stability of two-dimensional spatial solitons in non-local nonlinear media," Phys. Rev. E 73, 066603 (2006). [CrossRef]
  15. 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]
  16. A. S. Desyatnikov, Y. S. Kivshar, L. Torner, "Optical vortices and vortex solitons," Prog. Opt. 47, 291 (2005). [CrossRef]
  17. 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]
  18. C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, "Long-range interactions between optical solitons," Nat. Phys. 2, 769 (2006). [CrossRef]
  19. B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, "Boundary force effects exerted on solitons in highly nonlocal nonlinear media," Opt. Lett. 32, 154 (2007). [CrossRef]
  20. A. Minovich, D. Neshev, A. Dreischuh, W. Krolikowski, and Y. Kivshar, "Experimental reconstruction of non-local response of thermal nonlinear optical media," Opt. Lett., Doc. ID 78152 (in press).
  21. Z. Xu, Y. V. Kartashov, and L. Torner, "Upper threshold for stability of multipole-mode solitons in nonlocal nonlinear media," Opt. Lett. 30, 3171 (2005). [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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited