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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 1 — Jan. 9, 2006
  • pp: 254–259

Crossover from self-defocusing to discrete trapping in nonlinear waveguide arrays

Michal Matuszewski, Christian R. Rosberg, Dragomir N. Neshev, Andrey A. Sukhorukov, Arnan Mitchell, Marek Trippenbach, Michael W. Austin, Wieslaw Krolikowski, and Yuri S. Kivshar  »View Author Affiliations


Optics Express, Vol. 14, Issue 1, pp. 254-259 (2006)
http://dx.doi.org/10.1364/OPEX.14.000254


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Abstract

We predict a sharp crossover from nonlinear self-defocusing to discrete self-trapping of a narrow Gaussian beam with the increase of the refractive index contrast in a periodic photonic lattice. We demonstrate experimentally nonlinear discrete localization of light with defocusing nonlinearity by single site excitation in LiNbO3 waveguide arrays.

© 2006 Optical Society of America

OCIS Codes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5940) Nonlinear optics : Self-action effects

ToC Category:
Nonlinear Optics

Citation
Michal Matuszewski, Christian R. Rosberg, Dragomir N. Neshev, Andrey A. Sukhorukov, Arnan Mitchell, Marek Trippenbach, Michael W. Austin, Wieslaw Krolikowski, and Yuri S. Kivshar, "Crossover from self-defocusing to discrete trapping in nonlinear waveguide arrays," Opt. Express 14, 254-259 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-1-254


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References

  1. D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003). [CrossRef] [PubMed]
  2. H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000). [CrossRef] [PubMed]
  3. R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, "Self-focusing and defocusing in waveguide arrays," Phys. Rev. Lett. 86, 3296-3299 (2001). [CrossRef] [PubMed]
  4. 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]
  5. R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, "Observation of discrete quadratic solitons," Phys. Rev. Lett. 93, 113902-4 (2004). [CrossRef] [PubMed]
  6. F. Chen, M. Stepic, C. E. Ruter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005). [CrossRef] [PubMed]
  7. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Discrete propagation and spatial solitons in nematic liquid crystals," Opt. Lett. 29, 1530-1532 (2004). [CrossRef] [PubMed]
  8. 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, 023902-4 (2003). [CrossRef] [PubMed]
  9. 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, 147-150 (2003). [CrossRef] [PubMed]
  10. D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710-712 (2003). [CrossRef] [PubMed]
  11. H. Martin, E. D. Eugenieva, Z. G. Chen, and D. N. Christodoulides, "Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices," Phys. Rev. Lett. 92, 123902-4 (2004). [CrossRef] [PubMed]
  12. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart And Winston, New York, 1976).
  13. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled wave- guides," Opt. Lett. 13, 794-796 (1988). [CrossRef] [PubMed]
  14. Yu. S. Kivshar, "Self-localization in arrays of defocusing wave-guides," Opt. Lett. 18, 1147-1149 (1993). [CrossRef] [PubMed]
  15. G. L. Alfimov, P. G. Kevrekidis, V. V. Konotop, and M. Salerno, "Wannier functions analysis of the nonlinear Schrodinger equation with a periodic potential," Phys. Rev. E 66, 46608-6 (2002). [CrossRef]
  16. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
  17. G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, "Dark and bright photovoltaic spatial solitons," Phys. Rev. A 50, R4457-R4460 (1994). [CrossRef] [PubMed]
  18. A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, "Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices," Phys. Rev. Lett. 92, 093901-4 (2004). [CrossRef] [PubMed]

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