OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 37, Iss. 19 — Oct. 1, 2012
  • pp: 3930–3932

Discrete solitons in arrays of positive and negative index waveguides

D. A. Zezyulin, V. V. Konotop, and F. K. Abdullaev  »View Author Affiliations

Optics Letters, Vol. 37, Issue 19, pp. 3930-3932 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (485 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We report on existence and properties of discrete solitons in arrays of alternating waveguides with positive and negative refractive indices. When the nonlinearities of all waveguides are focusing, we found solitons only in the semi-infinite gaps. Finite gap solitons found for waveguides having nonlinearities of different types reveal the symmetry breaking in the Fourier space. It is found that there exist more than one soliton families bifurcating from the gap edges of the linear spectrum. The field distribution in such multichannel couplers reveals nonexponential decay and nonmonotonic dependence of the energy growth in the positive index waveguides on the strength of losses in the negative index waveguides.

© 2012 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(350.3618) Other areas of optics : Left-handed materials
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Integrated Optics

Original Manuscript: May 18, 2012
Revised Manuscript: July 26, 2012
Manuscript Accepted: August 13, 2012
Published: September 17, 2012

D. A. Zezyulin, V. V. Konotop, and F. K. Abdullaev, "Discrete solitons in arrays of positive and negative index waveguides," Opt. Lett. 37, 3930-3932 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. N. M. Litchinitser and V. M. Shalaev, Laser Phys. Lett. 5, 411 (2008). [CrossRef]
  2. H. Chen, B.-I. Wu, and J. A. Kong. J. Electromagn Waves Appl. 20, 2137 (2006). [CrossRef]
  3. A. A. Zharov, I. V. Shadrivov, and Yu. S. Kivshar, Phys. Rev. Lett. 91, 037401 (2003). [CrossRef]
  4. N. M. Litchinitser, I. R. Gabitov, and A. I. Maimistov, Phys. Rev. Lett. 99, 113902 (2007). [CrossRef]
  5. A. I. Maimistov, I. R. Gabitov, and N. M. Litchinitser, Opt. Spectrosc. 104, 253 (2008). [CrossRef]
  6. E. Kazantseva, A. I. Maimistov, and S. S. Ozhenko, Phys. Rev. A 80, 043833 (2009). [CrossRef]
  7. P. Y. P. Chen and B. A. Malomed, Opt. Commun. 283, 1598 (2010). [CrossRef]
  8. Y. Xiang, S. Wen, X. Dai, and D. Fan, Phys. Rev. E 82, 056605 (2010). [CrossRef]
  9. A. Maimistov and E. V. Kazantseva, Opt. Spectrosc. 112, 264 (2012). [CrossRef]
  10. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 463, 1 (2008). [CrossRef]
  11. M. I. Stockman, Phys. Rev. Lett. 98, 177404 (2007). [CrossRef]
  12. G. Dolling, C. Enkrich, H. Wegener, C. M. Soukoulis, and S. Linden, Opt. Lett. 31, 1800 (2006). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited