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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 16 — Aug. 6, 2007
  • pp: 10446–10451

Symmetry breaking of discrete solitons and its suppression by partial incoherence

Shao-Chuan Wang and Ming-Feng Shih  »View Author Affiliations

Optics Express, Vol. 15, Issue 16, pp. 10446-10451 (2007)

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We study the symmetry breaking instability of discrete solitons with even parity in a 1-D waveguide array, and find that such instability can be suppressed by adding spatial incoherence. This is true for both staggered and unstaggered modes.

© 2007 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(190.3100) Nonlinear optics : Instabilities and chaos
(190.5940) Nonlinear optics : Self-action effects

ToC Category:
Nonlinear Optics

Original Manuscript: July 18, 2007
Revised Manuscript: July 28, 2007
Manuscript Accepted: August 1, 2007
Published: August 2, 2007

Shao-Chuan Wang and Ming-Feng Shih, "Symmetry breaking of discrete solitons and its suppression by partial incoherence," Opt. Express 15, 10446-10451 (2007)

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  1. M. R. Evans, D. P. Foster, C. Godreche, and D. Mukamel, "Spontaneous symmetry breaking in a one dimensional driven diffusive system," Phys. Rev. Lett. 74, 208-211 (1995). [CrossRef] [PubMed]
  2. C. Yannouleas and U. Landman, "Spontaneous symmetry breaking in single and molecular quantum dots," Phys. Rev. Lett. 82, 5325-5328 (1999). [CrossRef]
  3. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988). [CrossRef] [PubMed]
  4. Y. S. Kivshar and G. P. Agrawal, Optical solitons: from fibers to photonic crystals (Academic Press, San Diego, 2003).
  5. A. A. Sukhorukov and Y. S. Kivshar, "Spatial optical solitons in nonlinear photonic crystals," Phys. Rev. E 65, 036609 (2002). [CrossRef]
  6. D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, "Bifurcations and stability of gap solitons in periodic potentials," Phys. Rev. E 70, 036618 (2004). [CrossRef]
  7. M. Soljačic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, "Modulation instability of incoherent beams in noninstantaneous nonlinear media," Phys. Rev. Lett. 84, 467-470 (2000). [CrossRef] [PubMed]
  8. D. Kip, M. Soljačic, M. Segev, E. Eugenieva, and D. N. Christodoulides, "Modulation instability and pattern formation in spatially incoherent light beams," Science 290, 495-498 (2000). [CrossRef] [PubMed]
  9. J. P. Torres, C. Anastassiou, M. Segev, M. Soljačic, and D. N. Christodoulides, "Transverse instability of incoherent solitons in Kerr media," Phys. Rev. E 65, 015601 (2001). [CrossRef]
  10. C. Jeng, M. Shih, K. Motzek, and Y. Kivshar, "Partially incoherent optical vortices in self-focusing nonlinear media," Phys. Rev. Lett. 92, 043904 (2004). [CrossRef] [PubMed]
  11. 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]
  12. D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, "Theory of incoherent self-focusing in biased photorefractive media," Phys. Rev. Lett. 78, 646 (1997). [CrossRef]
  13. M. Mitchell, M. Segev, T. Coskun, and D. N. Christodoulides, "Theory of self-trapped spatially incoherent light beams," Phys. Rev. Lett. 79, 4990 (1997). [CrossRef]
  14. M. Mitchell and M. Segev, "Self-trapping of incoherent white light," Nature (London) 387, 880 (1997). [CrossRef]
  15. H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, and M. Segev, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004). [CrossRef] [PubMed]
  16. O. Cohen, G. Bartal, H. Buljan, T. Carmon, J. W. Fleischer, M. Segev and D. N. Christodoulides, "Observation of random-phase lattice solitons," Nature (London) 433, 500-503 (2005). [CrossRef]
  17. R. Pezer, H. Buljan, J. W. Fleischer, G. Bartal, O. Cohen, and M. Segev, "Gap random-phase lattice solitons," Opt. Express 13, 5013-5023 (2005). [CrossRef] [PubMed]
  18. R. Pezer, H. Buljan, G. Bartal, M. Segev, and J. W. Fleischer, "Incoherent white-light solitons in nonlinear periodic lattices," Phys. Rev. E 73, 056608 (2006). [CrossRef]
  19. T. Schwartz, G. Bartal, S. Fishman, and M. Segev, "Transport and Anderson localization in disordered twodimensional photonic lattices," Nature (London) 446, 52-55 (2007). [CrossRef]

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