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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 6 — Mar. 21, 2005
  • pp: 1816–1826

Formation of discrete solitons in light-induced photonic lattices

Zhigang Chen, Hector Martin, Eugenia D. Eugenieva, Jingjun Xu, and Jianke Yang  »View Author Affiliations

Optics Express, Vol. 13, Issue 6, pp. 1816-1826 (2005)

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We present both experimental and theoretical results on discrete solitons in two-dimensional optically-induced photonic lattices in a variety of settings, including fundamental discrete solitons, vector-like discrete solitons, discrete dipole solitons, and discrete soliton trains. In each case, a clear transition from two-dimensional discrete diffraction to discrete trapping is demonstrated with a waveguide lattice induced by partially coherent light in a bulk photorefractive crystal. Our experimental results are in good agreement with the theoretical analysis of these effects.

© 2005 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(270.5530) Quantum optics : Pulse propagation and temporal solitons

ToC Category:
Focus Issue: Discrete solitons in nonlinear optics

Original Manuscript: December 8, 2004
Revised Manuscript: January 6, 2005
Published: March 21, 2005

Zhigang Chen, Hector Martin, Eugenia Eugenieva, Jingjun Xu, and Jianke Yang, "Formation of discrete solitons in light-induced photonic lattices," Opt. Express 13, 1816-1826 (2005)

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  1. D.N. Christodoulides, F. Lederer and Y. Siberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices,�?? Nature 424, 817 (2003). [CrossRef] [PubMed]
  2. D. Campbell, S. Flach and Y.S. Kivshar, 'Localizing energy through nonlinearity and discreteness,�?? Phys. Today, 57, 43 (2004). [CrossRef]
  3. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides,�?? Opt. Lett. 13, 794 (1988). [CrossRef] [PubMed]
  4. H.S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Observation of discrete solitons in optical waveguide arrays,�?? Phys. Rev. Lett. 81, 3383 (1998). [CrossRef]
  5. 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 (2001). [CrossRef] [PubMed]
  6. N.K. Efremidis, S. Sears, D.N. Christodoulides, J.W. Fleischer and M. Segev, �??Discrete solitons in photorefractive optically induced photonic lattices,�?? Phys. Rev. E 66, 046602 (2002). [CrossRef]
  7. 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]
  8. 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]
  9. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings,�?? Opt. Lett. 28, 710 (2003). [CrossRef] [PubMed]
  10. H. Martin, E.D. Eugenieva, Z. Chen and D.N. Christodoulides, "Discrete solitons and soliton-induced dislocations in partially-coherent photonic lattices,�?? Phys. Rev. Lett. 92, 123902 (2004); [CrossRef] [PubMed]
  11. 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]
  12. B.A. Malomed and P.G. Kevrekidis, "Discrete vortex solitons,�?? Phys. Rev. E 64, 026601 (2001). [CrossRef]
  13. J. Yang and Z.H. Musslimani, "Fundamental and vortex solitons in a two-dimensional optical lattice,�?? Opt. Lett. 28, 2094 (2003). [CrossRef] [PubMed]
  14. D.N. Neshev, T.J. Alexander, E.A. Ostrovskaya, Y.S. Kivshar, H. Martin, I. Makasyuk, Z. Chen, �??Observation of discrete vortex solitons in optically-induced photonic lattices,�?? Phys. Rev. Lett. 92, 123903 (2004). [CrossRef] [PubMed]
  15. J.W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, D.N. Christodoulides, �??Observation of vortex-ring discrete solitons in 2D photonic lattices.�?? Phys. Rev. Lett. 92, 123904 (2004). [CrossRef] [PubMed]
  16. M. Soljacic, M, Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, "Modulation instability of incoherent beams in noninstantaneous nonlinear media,�?? Phys. Rev. Lett. 84, 467 (2000). [CrossRef] [PubMed]
  17. Z. Chen and K. MaCarthy, "Spatial soliton pixles from partially coherent light,�?? Opt. Lett. 27, 2019 (2002). [CrossRef]
  18. Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, "Observation of two-dimensional lattice vector solitons,�?? Opt. Lett., 29, 1656 (2004). [CrossRef] [PubMed]
  19. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, "Dipole solitons in optically-induced two-dimensional photonic lattices,�?? Opt. Lett., 29, 1662 (2004). [CrossRef] [PubMed]
  20. J. Hudock, N. K. Efremidis, and D. N. Christodoulides, "Anisotropic diffraction and elliptic discrete solitons in two-dimensional waveguide arrays,�?? Opt. Lett. 29, 268 (2004). [CrossRef] [PubMed]
  21. D. N. Christodoulides, T. Coskun, M. Mitchell and M. Segev, "Theory of incoherent self-focusing in biased photorefractive media,�?? Phys. Rev. Lett. 78, 646 (1997). [CrossRef]
  22. M.J. Ablowitz and Z.H. Musslimani, "Discrete vector spatial solitons in a nonlinear waveguide array,�?? Phys. Rev. E 65, 056618 (2002). [CrossRef]
  23. J. Hudock, P. G. Kevrekidis, B. A. Malomed, and D. N. Christodoulides, "Discrete vector solitons in two-dimensional nonlinear waveguide arrays: Solutions, stability, and dynamics,�?? Phys. Rev. E 67, 056618 (2003). [CrossRef]
  24. J. Meier, J. Hudock, D.N. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Discrete vector solitons in Kerr nonlinear waveguide arrays ". Phys. Rev. Lett. 91, 143907 (2003). [CrossRef] [PubMed]
  25. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, "Dipole and Quadrupole Solitons in Optically-induced Two-dimensional Photonic Lattices: Theory and Experiment,�?? Stud. Appl. Math. 113, 389 (2004). [CrossRef]
  26. P. G. Kevrekidis, A.R. Bishop, and K. Rasmussen, "Twisted localized modes,�?? Phys. Rev. E 63, 036603 (2001). [CrossRef]
  27. A.A. Sukhorukov and Y.S. Kivshar, "Spatial optical solitons in nonlinear photonic crystals,�?? Phys. Rev. E 65, 036609 (2002). [CrossRef]
  28. P.G. Kevrekidis, B.A. Malomed, A.R. Bishop, �??Bound states of two-dimensional solitons in the discrete nonlinear Schrodinger equation.�?? J. Phys. A 34, 9615 (2001). [CrossRef]
  29. S.R. Singh and D.N. Christodoulides, �??Evolution of spatial optical solitons in biased photorefractive media under steady state conditions,�?? Opt. Commun. 118, 569 (1995). [CrossRef]
  30. J. Yang, I. Makasyuk, H. Martin, P.G. Kevrekidis, B.A. Malomed, D.J. Frantzeskakis, and Z. Chen, "Necklace-like solitons in optically induced photonic lattices,�?? Phys. Rev. Lett, submitted.
  31. A. Smerzi, A. Trombettoni, P. G. Kevrekidis and A. R. Bishop, Dynamical superfluid-insulator transition in a chain of weakly coupled Bose-Einstein condensates,�?? Phys. Rev. Lett. 89, 170402 (2002). [CrossRef] [PubMed]
  32. Z, Chen, H. Martin, A. Bezryadina, D.N. Neshev, Y.S. Kivshar, and D.N. Christodoulides, "Experiments on Gaussian beams and vortices in optically-induced photonic lattices,�?? J. Opt. Soc. Am. B, to appear 2005. [CrossRef]

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