OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 35, Iss. 19 — Oct. 1, 2010
  • pp: 3177–3179

Vortex lattice solitons supported by localized gain

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


Optics Letters, Vol. 35, Issue 19, pp. 3177-3179 (2010)
http://dx.doi.org/10.1364/OL.35.003177


View Full Text Article

Enhanced HTML    Acrobat PDF (312 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We show that localized gain supports the existence of dissipative vortex solitons in periodic Kerr media with strong two-photon absorption. Vortex solitons exist in both focusing and defocusing media, with their propagation constants emerging from semi-infinite or finite gaps in the lattice spectrum. Coincidence of the discrete rotational symmetries of the gain landscape and refractive index distribution is a necessary condition for exciting vortex solitons, which otherwise transform into stable dissipative multipoles.

© 2010 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: June 15, 2010
Revised Manuscript: July 20, 2010
Manuscript Accepted: August 11, 2010
Published: September 21, 2010

Citation
Yaroslav V. Kartashov, Vladimir V. Konotop, Victor A. Vysloukh, and Lluis Torner, "Vortex lattice solitons supported by localized gain," Opt. Lett. 35, 3177-3179 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-19-3177


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, Prog. Opt. 47, 291 (2005). [CrossRef]
  2. B. A. Malomed and P. G. Kevrekidis, Phys. Rev. E 64, 026601 (2001). [CrossRef]
  3. D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004). [CrossRef] [PubMed]
  4. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004). [CrossRef] [PubMed]
  5. Y. V. Kartashov, A. Ferrando, A. A. Egorov, and L. Torner, Phys. Rev. Lett. 95, 123902 (2005). [CrossRef] [PubMed]
  6. D. E. Pelinovsky, P. G. Kevrekidis, and D. J. Frantzeskakis, Physica D (Amsterdam) 212, 20 (2005).
  7. C. Hang, V. V. Konotop, and B. Malomed, Phys. Rev. A 80, 023824 (2009). [CrossRef]
  8. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Phys. Rev. Lett. 95, 053903 (2005). [CrossRef] [PubMed]
  9. L. C. Crasovan, B. A. Malomed, and D. Mihalache, Phys. Rev. E 63, 016605 (2000). [CrossRef]
  10. L. C. Crasovan, B. A. Malomed, and D. Mihalache, Phys. Lett. A 289, 59 (2001). [CrossRef]
  11. J. M. Soto-Crespo, N. Akhmediev, C. Mejia-Cortes, and N. Devine, Opt. Express 17, 4236 (2009). [CrossRef] [PubMed]
  12. H. Leblond, B. A. Malomed, and D. Mihalache, Phys. Rev. A 80, 033835 (2009). [CrossRef]
  13. C.-K. Lam, B. A. Malomed, K. W. Chow, and P. K. A. Wai, Eur. Phys. J. Spec. Top. 173, 233 (2009). [CrossRef]
  14. Y. V. Kartashov, V. V. Konotop, V. A. Vysloukh, and L. Torner, Opt. Lett. 35, 1638 (2010). [CrossRef] [PubMed]
  15. G. Khitrova, H. M. Gibbs, Y. Kawamura, H. Iwamura, T. Ikegami, J. E. Sipe, and L. Ming, Phys. Rev. Lett. 70, 920(1993). [CrossRef] [PubMed]
  16. T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tunnermann, and F. Lederer, Phys. Rev. Lett. 93, 053901 (2004). [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
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited