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Optics Letters

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  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 19 — Oct. 1, 2006
  • pp: 2888–2890

Lattice solitons in self-defocusing optical media: analytical solutions of the nonlinear Kronig–Penney model

Y. Kominis and K. Hizanidis  »View Author Affiliations


Optics Letters, Vol. 31, Issue 19, pp. 2888-2890 (2006)
http://dx.doi.org/10.1364/OL.31.002888


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Abstract

A novel method for obtaining analytical solitary wave solutions of the nonlinear Kronig–Penney model in periodic photonic structures with self-defocusing nonlinearity is applied for providing generic families of solutions corresponding to the gaps of the linear band structure. Characteristic cases are shown to be quite robust under propagation.

© 2006 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: May 23, 2006
Manuscript Accepted: June 19, 2006
Published: September 11, 2006

Citation
Y. Kominis and K. Hizanidis, "Lattice solitons in self-defocusing optical media: analytical solutions of the nonlinear Kronig-Penney model," Opt. Lett. 31, 2888-2890 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-19-2888


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References

  1. A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003). [CrossRef]
  2. J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, Opt. Express 13, 1780 (2005). [CrossRef] [PubMed]
  3. D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004). [CrossRef] [PubMed]
  4. R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Opt. Lett. 28, 1942 (2003). [CrossRef] [PubMed]
  5. R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, Opt. Lett. 29, 2905 (2004). [CrossRef]
  6. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, Opt. Lett. 29, 1102 (2004). [CrossRef] [PubMed]
  7. F. Kh. Abdullaev, B. B. Baizakov, S. A. Darmanyan, V. V. Konotop, and M. Salerno, Phys. Rev. A 64, 043606 (2001). [CrossRef]
  8. G. L. Alfimov, V. V. Konotop, and M. Salerno, Europhys. Lett. 58, 7 (2002). [CrossRef]
  9. V. V. Konotop and M. Salerno, Phys. Rev. A 65, 021602(R) (2002). [CrossRef]
  10. N. K. Efremidis and D. N. Christodoulides, Phys. Rev. A 67, 063608 (2003). [CrossRef]
  11. P. J. Y. Louis, E. A. Ostrovskaya, and Y. S. Kivshar, J. Opt. B 6, S309 (2004). [CrossRef]
  12. Y. S. Kivshar, W. Krolikowsi, and O. A. Chubykalo, Phys. Rev. E 50, 5020 (1994). [CrossRef]
  13. M. Johansson and Y. S. Kivshar, Phys. Rev. Lett. 82, 85 (1999). [CrossRef]
  14. V. V. Konotop and S. Takeno, Phys. Rev. E 60, 1001 (1999). [CrossRef]
  15. B. Sanchez-Rey and M. Johansson, Phys. Rev. E 71, 036627 (2005). [CrossRef]
  16. H. Susanto and M. Johansson, Phys. Rev. E 72, 016605 (2005). [CrossRef]
  17. S. Theodorakis and E. Leontidis, J. Phys. A 30, 4835 (1997). [CrossRef]
  18. Y. Kominis, Phys. Rev. E 73, 066619 (2006). [CrossRef]
  19. C. K. R. T Jones, T. Kupper, and K. Schaffner, Z. Angew. Math. Phys. 52, 859 (2001). [CrossRef]
  20. R. K. Jackson and M. I. Weinstein, J. Stat. Phys. 116, 881 (2004). [CrossRef]
  21. P. J. Y. Louis, E. A. Ostrovskaya, C. M. Savage, and Y. S. Kivshar, Phys. Rev. A 67, 013602 (2003). [CrossRef]
  22. Y. S. Kivshar, D. E. Pelinovsky, T. Cretegny, M. Peyrard, Phys. Rev. Lett. 80, 5032 (1998). [CrossRef]
  23. A. A. Sukhorukov and Y. S. Kivshar, Phys. Rev. Lett. 87, 083901 (2001). [CrossRef] [PubMed]
  24. D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. E 70, 036618 (2004). [CrossRef]
  25. J. Yang and Z. Chen, Phys. Rev. E 73, 026609 (2006). [CrossRef]

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