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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 6 — Mar. 14, 2011
  • pp: 4890–4901

Relation between surface solitons and bulk solitons in nonlocal nonlinear media

Zhenjun Yang, Xuekai Ma, Daquan Lu, Yizhou Zheng, Xinghui Gao, and Wei Hu  »View Author Affiliations

Optics Express, Vol. 19, Issue 6, pp. 4890-4901 (2011)

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We find that a surface soliton in nonlocal nonlinear media can be regarded as a half of a bulk soliton with an antisymmetric amplitude distribution. The analytical solutions for surface solitons and breathers in strongly nonlocal media are obtained, and the critical power and breather period are gotten analytically and confirmed by numerical simulations. In addition, the oscillating propagation of nonlocal surface solitons launched away from the stationary position is considered as interaction between the soliton and its out-of-phase image beam. Its trajectory and oscillating period obtained by our model are in good agreement with the numerical simulations.

© 2011 Optical Society of America

OCIS Codes
(190.4350) Nonlinear optics : Nonlinear optics at surfaces
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: January 18, 2011
Revised Manuscript: February 20, 2011
Manuscript Accepted: February 20, 2011
Published: February 28, 2011

Zhenjun Yang, Xuekai Ma, Daquan Lu, Yizhou Zheng, Xinghui Gao, and Wei Hu, "Relation between surface solitons and bulk solitons in nonlocal nonlinear media," Opt. Express 19, 4890-4901 (2011)

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  1. M. Mitchell, M. Segev, and D. N. Christodoulides, "Observation of multihump multimode solitons," Phys. Rev. Lett. 80, 4657-4660 (1998). [CrossRef]
  2. M. Peccianti, K. A. Brzdkiewicz, and G. Assanto, "Nonlocal spatial soliton interactions in nematic liquid crystals," Opt. Lett. 27, 1460-1462 (2002). [CrossRef]
  3. C. Conti, M. Peccianti, and G. Assanto, "Route to nonlocality and observation of accessible solitons," Phys. Rev. Lett. 91, 073901 (2003). [CrossRef] [PubMed]
  4. 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]
  5. W. Hu, T. Zhang, Q. Guo, X. Li, and S. Lan, "Nonlocality-controlled interaction of spatial solitons in nematic liquid crystals," Appl. Phys. Lett. 89, 07111 (2006). [CrossRef]
  6. C. Rotschild, O. Cohen, O. Manela, and M. Segev, "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]
  7. 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]
  8. S. Skupin, M. Saffman, and W. Krolikowski, "Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor," Phys. Rev. Lett. 98, 263902 (2007). [CrossRef] [PubMed]
  9. P. Pedri, and L. Santos, "Two-dimensional bright solitons in dipolar Bose-Einstein condensates," Phys. Rev. Lett. 95, 200404 (2005). [CrossRef] [PubMed]
  10. I. Tikhonenkov, B. A. Malomed, and A. Vardi, "Anisotropic solitons in dipolar Bose-Einstein condensates," Phys. Rev. Lett. 100, 090406 (2008). [CrossRef] [PubMed]
  11. Y. V. Kartashov, V. A. Vysloukh, and 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]
  12. D. Q. Lu, and W. Hu, "Multiringed breathers and rotating breathers in strongly nonlocal nonlinear media under the off-waist incident condition," Phys. Rev. A 79, 043833 (2009). [CrossRef]
  13. Z. Xu, Y. V. Kartashov, and L. Torner, "Upper threshold for stability of multipole-mode solitons in nonlocal nonlinear media," Opt. Lett. 30, 3171-3173 (2005). [CrossRef] [PubMed]
  14. L. Dong, and F. Ye, "Stability of multipole-mode solitons in thermal nonlinear media," Phys. Rev. A 81, 013815 (2010). [CrossRef]
  15. S. Ouyang, Q. Guo, and W. Hu, "Perturbative analysis of generally nonlocal spatial optical solitons," Phys. Rev. E 74, 036622 (2006). [CrossRef]
  16. D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, "Laguerre and Hermite soliton clusters in nonlocal nonlinear media," Phys. Rev. Lett. 98, 053901 (2007). [CrossRef] [PubMed]
  17. D. Deng, X. Zhao, Q. Guo, and S. Lan, "Hermite-Gaussian breathers and solitons in strongly nonlocal nonlinear media," J. Opt. Soc. Am. B 24, 2537-2544 (2007). [CrossRef]
  18. D. Deng, and Q. Guo, "Propagation of Laguerre-Gaussian beams in nonlocal nonlinear media," J. Opt. A, Pure Appl. Opt. 10, 035101 (2008). [CrossRef]
  19. D. Deng, and Q. Guo, "Ince-Gaussian solitons in strongly nonlocal nonlinear media," Opt. Lett. 32, 3206-3208 (2007). [CrossRef] [PubMed]
  20. Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, "Multimode nematicon waveguides," Opt. Lett. 36, 184-186 (2011). [CrossRef] [PubMed]
  21. Q. Guo, B. Luo, F. H. Yi, S. Chi, and Y. Q. Xie, "Large phase shift of nonlocal optical spatial solitons," Phys. Rev. E 69, 016602 (2004). [CrossRef]
  22. P. D. Rasmussen, O. Bang, and W. Królikowski, "Theory of nonlocal soliton interaction in nematic liquid crystals," Phys. Rev. E 72, 066611 (2005). [CrossRef]
  23. 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]
  24. N. I. Nikolov, D. Neshev, W. Krolikowski, O. Bang, J. J. Rasmussen, and P. L. Christiansen, "Attraction of nonlocal dark optical solitons," Opt. Lett. 29, 286-288 (2004). [CrossRef] [PubMed]
  25. D. Q. Lu, W. Hu, Y. J. Zheng, Y. B. Liang, L. G. Cao, S. Lan, and Q. Guo, "Self-induced fractional Fourier transform and revivable higher-order spatial solitons in strongly nonlocal nonlinear media," Phys. Rev. A 78, 043815 (2008). [CrossRef]
  26. B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, "Nonlocal surface-wave solitons," Phys. Rev. Lett. 98, 213901 (2007). [CrossRef] [PubMed]
  27. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Multipole surface solitons in thermal media," Opt. Lett. 34, 283-285 (2009). [CrossRef] [PubMed]
  28. F. Ye, Y. V. Kartashov, and L. Torner, "Nonlocal surface dipoles and vortices," Phys. Rev. A 77, 033829 (2008). [CrossRef]
  29. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Ring surface waves in thermal nonlinear media," Opt. Express 15, 16216-16221 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-24-16216. [CrossRef] [PubMed]
  30. B. Alfassi, C. Rotschild, and M. Segev, "Incoherent surface solitons in effectively instantaneous nonlocal nonlinear media," Phys. Rev. A 80, 041808 (2009). [CrossRef]
  31. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Optical surface waves supported and controlled by thermal waves," Opt. Lett. 33, 506-508 (2008). [CrossRef] [PubMed]
  32. W. Krolikowski, O. Bang, and J. Wyller, "Modulational instability in nonlocal nonlinear Kerr media," Phys. Rev. E 64, 016612 (2001). [CrossRef]
  33. N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, "Shocks in nonlocal media," Phys. Rev. Lett. 99, 043903 (2007). [CrossRef] [PubMed]
  34. C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, "Observation of a gradient catastrophe generating solitons," Phys. Rev. Lett. 102, 083902 (2009). [CrossRef] [PubMed]
  35. N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, "Quadratic solitons as nonlocal solitons," Phys. Rev. E 68, 036614 (2003). [CrossRef]
  36. P. V. Larsen, M. P. Søensen, O. Bang, W. Z. Królikowski, and S. Trillo, "Nonlocal description of X waves in quadratic nonlinear materials," Phys. Rev. E 73, 036614 (2006). [CrossRef]
  37. Q. Shou, Y. B. Liang, Q. Jiang, Y. J. Zheng, S. Lan, W. Hu, and Q. Guo, "Boundary force exerted on spatial solitons in cylindrical strongly nonlocal media," Opt. Lett. 34, 3523-3523 (2009). [CrossRef] [PubMed]
  38. D. Anderson, "Variational approach to nonlinear pulse propagation in optical fibers," Phys. Rev. A 27, 3135-3145 (1983). [CrossRef]
  39. L. G. Cao, Y. Q. Zhu, D. Q. Lu, W. Hu, and Q. Guo, "Propagation of nonlocal optical solitons in lossy media with exponential-decay response," Opt. Commun. 281, 5004-5008 (2008). [CrossRef]

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