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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 38, Iss. 22 — Nov. 15, 2013
  • pp: 4880–4883

Conservative and PT-symmetric compactons in waveguide networks

A. V. Yulin and V. V. Konotop  »View Author Affiliations


Optics Letters, Vol. 38, Issue 22, pp. 4880-4883 (2013)
http://dx.doi.org/10.1364/OL.38.004880


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Abstract

Stable discrete compactons in interconnected three-line waveguide arrays are found in linear and nonlinear limits in conservative and in parity-time (PT)-symmetric models. The compactons result from the interference of the fields in the two lines of waveguides ensuring that the third (middle) line caries no energy. PT-symmetric compactons require not only the presence of gain and losses in the two lines of the waveguides but also complex coupling, i.e., gain and losses in the coupling between the lines carrying the energy and the third line with zero field. The obtained compactons can be stable and their branches can cross the branches of the dissipative solitons. Unusual bifurcations of branches of solitons from linear compactons are described.

© 2013 Optical Society of America

OCIS Codes
(190.3270) Nonlinear optics : Kerr effect
(230.7370) Optical devices : Waveguides
(080.6755) Geometric optics : Systems with special symmetry

ToC Category:
Nonlinear Optics

History
Original Manuscript: August 14, 2013
Revised Manuscript: October 16, 2013
Manuscript Accepted: October 17, 2013
Published: November 14, 2013

Citation
A. V. Yulin and V. V. Konotop, "Conservative and PT-symmetric compactons in waveguide networks," Opt. Lett. 38, 4880-4883 (2013)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-22-4880


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References

  1. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1 (2008). [CrossRef]
  2. P. Rosenau and J. M. Hyman, Phys. Rev. Lett. 70, 564 (1993). [CrossRef]
  3. P. Rosenau, Phys. Rev. Lett. 73, 1737 (1994). [CrossRef]
  4. V. V. Konotop and S. Takeno, Phys. Rev. E 60, 1001 (1999). [CrossRef]
  5. E. Coquet, M. Remoissenet, and P. T. Dinda, Phys. Rev. E 62, 5767 (2000). [CrossRef]
  6. M. Eleftheriou, B. Dey, and G. P. Tsironis, Phys. Rev. E 62, 7540 (2000). [CrossRef]
  7. P. G. Kevrekidis and V. V. Konotop, Phys. Rev. E 65, 066614 (2002). [CrossRef]
  8. P. G. Kevrekidis, V. V. Konotop, and S. Takeno, Phys. Lett. A 299, 166 (2002). [CrossRef]
  9. F. Kh. Abdullaev, P. G. Kevrekidis, and M. Salerno, Phys. Rev. Lett. 105, 113901 (2010). [CrossRef]
  10. A. Ruschhaupt, F. Delgado, and J. G. Muga, J. Phys. A 38, L171 (2005). [CrossRef]
  11. C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010). [CrossRef]
  12. M. Heinrich, R. Keil, F. Dreisow, A. Tunnermann, A. Szameit, and S. Nolte, Appl. Phys. B 104, 469 (2011). [CrossRef]
  13. T. M. Monro and H. Ebendorff-Heidepriem, Annu. Rev. Mater. Res. 36, 467 (2006). [CrossRef]
  14. P. Koonath and B. Jalali, Opt. Express 15, 12686 (2007). [CrossRef]
  15. N. V. Alexeeva, I. V. Barashenkov, K. Rayanov, and S. Flach, http://xxx.tau.ac.il/abs/1308.5862 .
  16. M. Kulishov, J. Laniel, N. Bélanger, J. Azaña, and D. Plant, Opt. Express 13, 3068 (2005). [CrossRef]
  17. R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, Opt. Lett. 32, 2632 (2007). [CrossRef]
  18. H. Ramezani, T. Kottos, R. El-Ganainy, and D. Christodoulides, Phys. Rev. A 82, 043803 (2010). [CrossRef]
  19. P. G. Kevrekidis, D. E. Pelinovsky, and D. Y. Tyugin, SIAM J. Appl. Dyn. Syst. 12, 1210 (2013). [CrossRef]

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