OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 35, Iss. 7 — Apr. 1, 2010
  • pp: 989–991

Reflectionless potentials and cavities in waveguide arrays and coupled-resonator structures

Andrey A. Sukhorukov  »View Author Affiliations

Optics Letters, Vol. 35, Issue 7, pp. 989-991 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (309 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present an approach for the realization of reflectionless potentials in linear coupled-resonator optical waveguides or optical waveguide arrays with modulated coupling. We show that soliton solutions of nonlinear Ablowitz–Ladik equations can be used to define analytically reflectionless modulations for linear photonic structures. Such structures fully transmit incident waves and simultaneously support a pair of localized modes. These results suggest new possibilities for pulse and beam shaping, including a realization of cavities that do not reflect incident light.

© 2010 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(230.4555) Optical devices : Coupled resonators
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Integrated Optics

Original Manuscript: December 2, 2009
Revised Manuscript: February 11, 2010
Manuscript Accepted: February 12, 2010
Published: March 26, 2010

Andrey A. Sukhorukov, "Reflectionless potentials and cavities in waveguide arrays and coupled-resonator structures," Opt. Lett. 35, 989-991 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. S. D. Gupta and G. S. Agarwal, Opt. Express 15, 9614 (2007). [CrossRef]
  2. I. Kay and H. E. Moses, J. Appl. Phys. 27, 1503 (1956). [CrossRef]
  3. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, Opt. Lett. 24, 711 (1999). [CrossRef]
  4. M. Notomi, E. Kuramochi, and T. Tanabe, Nat. Photonics 2, 741 (2008). [CrossRef]
  5. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003). [CrossRef] [PubMed]
  6. R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, Opt. Lett. 28, 834 (2003). [CrossRef] [PubMed]
  7. H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, and A. Brauer, Opt. Express 11, 3404 (2003). [CrossRef] [PubMed]
  8. F. Fedele, J. K. Yang, and Z. G. Chen, Opt. Lett. 30, 1506 (2005). [CrossRef] [PubMed]
  9. D. N. Christodoulides and N. K. Efremidis, Opt. Lett. 27, 568 (2002). [CrossRef]
  10. M. J. Ablowitz, Y. Ohta, and A. D. Trubatch, Phys. Lett. A 253, 287 (1999). [CrossRef]
  11. A. A. Sukhorukov, Phys. Rev. Lett. 96, 113902 (2006). [CrossRef] [PubMed]
  12. A. Yariv and P. Yeh, Photonics: Optical Electronics in Modern Communications, 6th ed. (Oxford U. Press, 2006).
  13. W. Krolikowski and Yu. S. Kivshar, J. Opt. Soc. Am. B 13, 876 (1996). [CrossRef]
  14. A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996). [CrossRef]
  15. A. A. Sukhorukov and Yu. S. Kivshar, Phys. Rev. Lett. 87, 083901 (2001). [CrossRef] [PubMed]
  16. M. I. Molina and Yu. S. Kivshar, Opt. Lett. 33, 917 (2008). [CrossRef] [PubMed]

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

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited