OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2314–2320

Propagation of optical spatial solitons in finite-size media: interplay between nonlocality and boundary conditions

Alessandro Alberucci and Gaetano Assanto  »View Author Affiliations

JOSA B, Vol. 24, Issue 9, pp. 2314-2320 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (781 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We study the propagation of spatial solitons close to the lateral boundaries of self-focusing nonlocal media. Using the Green function approach, we investigate the soliton induced index distribution and resulting trajectories in four cases of physical relevance.

© 2007 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.5940) Nonlinear optics : Self-action effects
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: April 17, 2007
Manuscript Accepted: June 4, 2007
Published: August 22, 2007

Alessandro Alberucci and Gaetano Assanto, "Propagation of optical spatial solitons in finite-size media: interplay between nonlocality and boundary conditions," J. Opt. Soc. Am. B 24, 2314-2320 (2007)

Sort:  Year  |  Journal  |  Reset  


  1. H. L. Pecseli and J. J. Rasmussen, "Nonlinear electron waves in strongly magnetized plasma," Plasma Phys. 22, 421-438 (1980). [CrossRef]
  2. P. Pedri and L. Santos, "Two-dimensional bright solitons in dipolar Bose-Einstein condensates," Phys. Rev. Lett. 95, 200404 (2005). [CrossRef] [PubMed]
  3. G. Vitrant, R. Reinisch, J. C. Paumier, G. Assanto, and G. I. Stegeman, "Nonlinear prism coupling with nonlocality," Opt. Lett. 14, 898-890 (1989). [CrossRef] [PubMed]
  4. Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).
  5. S. Trillo and W. E. Torruellas, eds., Spatial Solitons (Springer-Verlag, 2001).
  6. C. Conti and G. Assanto, "Nonlinear optics applications: bright spatial solitons," in Encyclopedia of Modern Optics, Vol. 5, pp. 43-55, R.D.Guenther, D.G.Steel, and L.Bayvel, eds. (Elsevier, 2004).
  7. E. Vanin, A. I. Korytin, A. M. Sergeev, D. Anderson, M. Lisak, and L. Vazquez, "Dissipative optical solitons," Phys. Rev. A 49, 2806-2811 (1994). [CrossRef] [PubMed]
  8. S. Abe and A. Ogura, "Solitary waves and their critical behavior in a nonlinear nonlocal medium with power-law response," Phys. Rev. E 57, 6066-6070 (1998). [CrossRef]
  9. D. J. Mitchell and A. W. Snyder, "Soliton dynamics in a nonlocal medium," J. Opt. Soc. Am. B 16, 236-239 (1999). [CrossRef]
  10. W. Krolikowski and O. Bang, "Solitons in nonlocal nonlinear media: exact solutions," Phys. Rev. E 63, 016610 (2000). [CrossRef]
  11. C. Conti, M. Peccianti, and G. Assanto, "Route to nonlocality and observation of accessible solitons," Phys. Rev. Lett. 91, 073901 (2003). [CrossRef] [PubMed]
  12. G. Assanto and M. Peccianti, "Spatial solitons in nematic liquid crystals," IEEE J. Quantum Electron. 39, 13-21 (2003). [CrossRef]
  13. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "Nonlocal optical propagation in nonlinear nematic liquid crystals," J. Nonlinear Opt. Phys. Mater. 12, 525-538 (2003). [CrossRef]
  14. 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]
  15. 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]
  16. Z. Xu, Y. V. Kartashov, and L. Torner, "Stabilization of vector soliton complexes in nonlocal nonlinear media," Phys. Rev. E 73, 055601 (2006). [CrossRef]
  17. W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, "Observation of dipole-mode vector solitons," Phys. Rev. Lett. 85, 1424-1427 (2000). [CrossRef] [PubMed]
  18. T. Carmon, C. Anastassiou, S. Lan, D. Kip, Z. H. Musslimani, M. Segev, and D. Christodoulides, "Observation of two-dimensional multimode solitons," Opt. Lett. 25, 1113-1115 (2000). [CrossRef]
  19. Y. A. 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]
  20. A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, "Observation of attraction between dark solitons," Phys. Rev. Lett. 96, 043901 (2006). [CrossRef] [PubMed]
  21. M. Segev, B. Crosignani, A. Yariv, and B. Fischer, "Spatial solitons in photorefractive media," Phys. Rev. Lett. 68, 923-926 (1992). [CrossRef] [PubMed]
  22. W. Krolikowsky, B. Luther-Davies, and C. Denz, "Photorefractive solitons," Quantum Electron. 39, 3-12 (2003).
  23. C. Conti, G. Ruocco, and S. Trillo, "Optical spatial solitons in soft matter," Phys. Rev. Lett. 95, 183902 (2005). [CrossRef] [PubMed]
  24. M. Warenghem, J. F. Henninot, F. Derrien, and G. Abbate, "Thermal and orientational 2D+1 spatial optical solitons in dye doped liquid crystals," Mol. Cryst. Liq. Cryst. 373, 213-225 (2002). [CrossRef]
  25. M. Peccianti, K. Brzadkiewicz, and G. Assanto, "Nonlocal spatial soliton interactions in nematic liquid crystals," Opt. Lett. 27, 1460-1462 (2002). [CrossRef]
  26. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "Routing of anisotropic spatial solitons and modulational instability in nematic liquid crystals," Nature 432, 733-737 (2004). [CrossRef] [PubMed]
  27. A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, "Two-color vector solitons in nonlocal media," Phys. Rev. Lett. 97, 153903 (2006). [CrossRef] [PubMed]
  28. M. Peccianti, A. Fratalocchi, and G. Assanto, "Transverse dynamics of nematicons," Opt. Express 12, 6524-6529 (2004). [CrossRef] [PubMed]
  29. 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, 154-156 (2007). [CrossRef]
  30. C. Rothschild, B. Alfassi, O. Cohen, and M. Segev, "Long-range interactions between optical solitons," Nat. Phys. 2, 769-774 (2006). [CrossRef]
  31. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists (Academic, 2001).

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