OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 19, Iss. 12 — Dec. 2, 2002
  • pp: 2938–2944

Optical discrete solitons in waveguide arrays. I. Soliton formation

H. S. Eisenberg, R. Morandotti, Y. Silberberg, J. M. Arnold, G. Pennelli, and J. S. Aitchison  »View Author Affiliations


JOSA B, Vol. 19, Issue 12, pp. 2938-2944 (2002)
http://dx.doi.org/10.1364/JOSAB.19.002938


View Full Text Article

Enhanced HTML    Acrobat PDF (548 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We investigate the generation of discrete spatial solitons in arrays of coupled waveguides. Light was launched into the center of the array, and different beam sizes and array geometries were tested. At low power, the propagating field spreads as it couples to more waveguides. When the intensity is increased, localization is observed around the input waveguides, leading to the formation of a discrete soliton. For wide input beams, exciting a few waveguides, soliton splitting, which is due to instability induced by multiphoton absorption, is observed. All of these effects are described well by a coupled-mode formalism.

© 2002 Optical Society of America

OCIS Codes
(190.3270) Nonlinear optics : Kerr effect
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(230.7380) Optical devices : Waveguides, channeled

Citation
H. S. Eisenberg, R. Morandotti, Y. Silberberg, J. M. Arnold, G. Pennelli, and J. S. Aitchison, "Optical discrete solitons in waveguide arrays. I. Soliton formation," J. Opt. Soc. Am. B 19, 2938-2944 (2002)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-12-2938


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. V. E. Zakharov and A. B. Shabat, “Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Zh. Eksp. Teor. Fiz. 61, 118–134 (1971) [Sov. Phys. JEPT 34, 62–69 (1972)].
  2. L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, “Experimental observation of picosecond pulse narrowing and solitons in optical fibers,” Phys. Rev. Lett. 45, 1095–1098 (1980). [CrossRef]
  3. A. Barthelemy, S. Maneuf, and C. Froehly, “Propagation soliton et auto-confinement de faisceaux laser par non linearite’ optique de Kerr,” Opt. Commun. 55, 201–206 (1985). [CrossRef]
  4. J. S. Aitchison, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, and P. W. E. Smith, “Observation of spatial optical solitons in a nonlinear glass waveguide,” Opt. Lett. 15, 471–473 (1990). [CrossRef] [PubMed]
  5. W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of 2-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995). [CrossRef] [PubMed]
  6. M. Segev, B. Crosignani, A. Yariv, and B. Fischer, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992). [CrossRef] [PubMed]
  7. G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, “Observation of self-trapping of an optical beam due to the photorefractive effect,” Phys. Rev. Lett. 71, 533–536 (1993). [CrossRef] [PubMed]
  8. D. N. Christodoulides and R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled waveguides,” Opt. Lett. 13, 794–796 (1988). [CrossRef] [PubMed]
  9. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, “Discrete spatial optical solitons in waveguide arrays,” Phys. Rev. Lett. 81, 3383–3386 (1998). [CrossRef]
  10. A. S. Davydov, “Solitons in molecular systems,” Phys. Scr. 20, 387–394 (1979). [CrossRef]
  11. T. Holstein, “Studies of polaron motion,” Ann. Phys. (N.Y.) 8, 325–289 (1959). [CrossRef]
  12. P. Marquié, J. M. Bilbault, and M. Remoissenet, “Observation of nonlinear localized modes in an electrical lattice,” Phys. Rev. E 51, 6127–6133 (1995). [CrossRef]
  13. B. Denardo, B. Galvin, A. Greenfield, A. Larranza, S. Putterman, and W. Wright, “Observations of localized structures in nonlinear lattices: domain walls and kinks,” Phys. Rev. Lett. 68, 1730–1733 (1992). [CrossRef] [PubMed]
  14. S. Flach and C. R. Willis, “Discrete breathers,” Phys. Rep. 295, 182–264 (1998). [CrossRef]
  15. A. L. Jones, “Coupling of optical fibers and scattering in fibers,” J. Opt. Soc. Am. 55, 261–271 (1965). [CrossRef]
  16. A. C. Scott and L. Macneil, “Binding energy versus nonlinearity for a ‘small’ stationary soliton,” Phys. Lett. A 98A, 87–89 (1983). [CrossRef]
  17. A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, “Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays,” Phys. Rev. E 53, 1172–1189 (1996). [CrossRef]
  18. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Dynamics of discrete solitons in optical waveguide arrays,” Phys. Rev. Lett. 83, 2726–2729 (1999). [CrossRef]
  19. Y. S. Kivshar, W. Królikowski, and O. A. Chubukalo, “Dark solitons in discrete lattices,” Phys. Rev. E 50, 5020–5032 (1994). [CrossRef]
  20. S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, “Strongly localized vectorial modes in nonlinear waveguide arrays,” Phys. Rev. E 57, 3520–3530 (1998). [CrossRef]
  21. Y. S. Kivshar and D. K. Campbell, “Peierls–Nabarro potential barrier for highly localized nonlinear modes,” Phys. Rev. E 48, 3077–3081 (1993). [CrossRef]
  22. R. Muschall, C. Schmidt-Hattenberger, and F. Lederer, “Spatially solitary waves in arrays of nonlinear waveguides,” Opt. Lett. 19, 323–325 (1994). [CrossRef] [PubMed]
  23. I. Relke, “Instability of solitons in an inhomogeneous array of optical fibers,” Phys. Rev. E 57, 6105–6111 (1998). [CrossRef]
  24. W. Królikowski and Y. S. Kivshar, “Soliton-based optical switching in waveguide arrays,” J. Opt. Soc. Am. B 13, 876–887 (1996). [CrossRef]
  25. U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Nonlinearly induced escape from a defect state in waveguide arrays,” Appl. Phys. Lett. 75, 1348–1350 (1999). [CrossRef]
  26. U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Discrete solitons. II.Dynamical properties,” J. Opt. Soc. Am. B (to be published).
  27. C. Schmidt-Hattenberger, U. Trutschel, R. Muschall, and F. Lederer, “Envelope description of an optical fiber array with circularly distributed multiple cores,” Opt. Commun. 82, 461–465 (1991). [CrossRef]
  28. P. Millar, J. S. Aitchison, J. U. Kang, G. I. Stegeman, A. Villeneuve, G. T. Kennedy, and W. Sibbett, “Nonlinear waveguide arrays in AlGaAs,” J. Opt. Soc. Am. B 14, 3224–3231 (1997). [CrossRef]
  29. H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000). [CrossRef] [PubMed]
  30. Y. Silberberg, “Solitons and 2-photon absorption,” Opt. Lett. 15, 1005–1007 (1990). [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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited