OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 26 — Dec. 26, 2005
  • pp: 10703–10710

Multipole-mode solitons in Bessel optical lattices

Yaroslav V. Kartashov, R. Carretero-González, Boris A. Malomed, Victor A. Vysloukh, and Lluis Torner  »View Author Affiliations


Optics Express, Vol. 13, Issue 26, pp. 10703-10710 (2005)
http://dx.doi.org/10.1364/OPEX.13.010703


View Full Text Article

Enhanced HTML    Acrobat PDF (1172 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We study basic properties of quiescent and rotating multipole-mode solitons supported by axially symmetric Bessel lattices in a medium with defocusing cubic nonlinearity. The solitons can be found in different rings of the lattice and are stable when the propagation constant exceeds the critical value, provided that the lattice is deep enough. In a high-power limit the multipole-mode solitons feature a multi-ring structure.

© 2005 Optical Society of America

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

ToC Category:
Research Papers

Citation
Yaroslav V. Kartashov, R. Carretero-Gonzalez, Boris A. Malomed, Victor A. Vysloukh, and Lluis Torner, "Multipole-mode solitons in Bessel optical lattices," Opt. Express 13, 10703-10710 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-26-10703


Sort:  Journal  |  Reset  

References

  1. J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003). [CrossRef] [PubMed]
  2. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147 (2003). [CrossRef] [PubMed]
  3. D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710 (2003). [CrossRef] [PubMed]
  4. Z. Chen, H. Martin, E. D. Eugenieva, J. Xu, and A. Bezryadina, "Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains," Phys. Rev. Lett. 92, 143902 (2004). [CrossRef] [PubMed]
  5. D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004). [CrossRef] [PubMed]
  6. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004). [CrossRef] [PubMed]
  7. J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklacelike solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005). [CrossRef] [PubMed]
  8. B. B. Baizakov, B. A. Malomed, and M. Salerno, "Multidimensional solitons in periodic potentials," Europhys. Lett. 63, 642 (2003). [CrossRef]
  9. J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 297 (2000). [CrossRef]
  10. S. H. Tao, X.-C. Yuan, and B. S. Ahluwalia, "The generation of an array of nondiffracting beams by a single composite computer generated hologram," J. Opt. A: Pure. Appl. Opt. 7, 40 (2005). [CrossRef]
  11. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Rotary solitons in Bessel optical lattices," Phys. Rev. Lett. 93, 093904 (2004). [CrossRef] [PubMed]
  12. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Stable ring-profile vortex solitons in Bessel optical lattices," Phys. Rev. Lett. 94, 043902 (2005). [CrossRef] [PubMed]
  13. Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, "Rotary dipole-mode solitons in Bessel optical lattices," J. Opt. B: Quantum Semiclass. Opt. 6, 444 (2004). [CrossRef]
  14. Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, "Stable soliton complexes and azimuthal switching in modulated Bessel optical lattices," Phys. Rev. E 70, 065602(R) (2004). [CrossRef]
  15. D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, "Stable spatiotemporal solitons in Bessel optical lattices," Phys. Rev. Lett. 95, 023902 (2005). [CrossRef] [PubMed]
  16. A. Desyatnikov, D. Neshev, E. Ostrovskaya, Y. S. Kivshar, W. Krolikowski, B. Luther-Davies, J. J. Garcia-Ripoll, and V. Perez-Garcia, "Multipole spatial vector solitons," Opt. Lett. 26, 435 (2001). [CrossRef]
  17. A. S. Desyatnikov, D. Neshev, E. A. Osrovskaya, Y. S. Kivshar, G. McCarthy, W. Krolikowski, and B. Luther-Davies, "Multipole composite spatial solitons: theory and experiment," J. Opt. Soc. Am. B 19, 586 (2002). [CrossRef]
  18. A. M. Glass and J. Strait, in "Photorefractive Materials and their Applications I," P. Günter and J. P. Huignard eds., (Springer, Berlin, 1988) pp. 237-262.

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited