Skip to main content
SpringerLink
Log in

Switchable discrete cavity solitons in 2D waveguide structure with defect

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

The existence and dynamical behavior of discrete cavity solitons (DCSs) in array of coupled optical cavities with Kerr nonlinearity are studied and compared for 1D and 2D cases. Then a local Gaussian shaped defect is introduced on individual cavity detuning and DCS is simulated in presence of the defect and their stability is investigated. It has been found that the stability domain of DCSs and their intensity profile are affected by sign and value of the local defect. Our simulations revealed the effect of the local defect on soliton’s on/off switching. Here emerging of non-controllable spontaneous soliton is unavoidable if the height of the positive defect exceeds a critical value. As it can be predicted, system tends to a homogenous behavior by increasing the width of the defect respect to DCS wideness.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. Zhong, B. Tian, Y. Jiang, M. Li, P. Wang, W. Liu, Eur. Phys. J. D 67, 7 (2013)

    Article  ADS  Google Scholar 

  2. K.M. Aghdami, M. Golshani, R. Kheradmand, IEEE Photonics J. 4, 4 (2012)

    Article  Google Scholar 

  3. M. Peccianti, C. Conti, G. Assanto, A.D. Luca, C. Umeton, Nature 432, 7018 (2004)

    Article  Google Scholar 

  4. Y.V. Izdebskaya, V.G. Shvedov, A.S. Desyatnikov, W. Krolikowski, Y.S. Kivshar, Opt. Lett. 35, 10 (2010)

    Article  Google Scholar 

  5. F. Lederer, G.I. Stegeman, D.N. Christodoulides, G. Assanto, M. Segev, Y. Silberberg, Phys. Rep. 463, 1 (2008)

    Article  ADS  Google Scholar 

  6. U. Peschel, R. Morandotti, J.M. Arnold, J.S. Aitchison, H.S. Eisenberg, Y. Silberberg, T. Pertsch, F. Lederer, J. Opt. Soc. Am. B 19, 11 (2002)

    Google Scholar 

  7. U. Peschel, O. Egorov, F. Lederer, Opt. Lett. 29, 16 (2004)

    Article  Google Scholar 

  8. O. Egorov, F. Lederer, Y. Kivshar, Opt. Exp. 15, 7 (2007)

    Article  Google Scholar 

  9. P.G. Kevrekidis, The Discrete Nonlinear Schrödinger Equation (Springer, Berlin, 2009), Vol. 232

  10. V.A. Brazhnyi, C.P. Jisha, A.S. Rodrigues, Phys. Rev. A 87, 1 (2013)

    Article  Google Scholar 

  11. L. Yongyao, W. Pang, Y. Chen, Z. Yu, J. Zhou, H. Zhang, Phys. Rev. A 80, 4 (2009)

    Google Scholar 

  12. M.T. Primatarowa, K.T. Stoychev, R.S. Kamburova, Phys. Rev. E 77, 6 (2008)

    Article  Google Scholar 

  13. T. Hattori, N. Tsurumachi, H. Nakatsuka, J. Opt. Soc. Am. B 14, 2 (1997)

    Article  Google Scholar 

  14. Y. Akahane, T. Asano, B.S. Song, S. Nod, Nature 425, 6961 (2003)

    Article  Google Scholar 

  15. R. Colombelli, K. Srinivasan, M. Troccoli, O. Painter, C.F. Gmachl, D.M. Tennant, A.M. Sergent, D.L. Sivco, A.Y. Cho, F. Capasso, Science 302, 5649 (2003)

    Article  Google Scholar 

  16. H. Nakamura, Y. Sugimoto, K. Kanamoto, N. Ikeda, Y. Tanaka, Y. Nakamura, S. Ohkouchi, Y. Watanabe, K. Inoue, H. Ishikawa, K. Asakawa, Opt. Exp. 12, 26 (2004)

    Article  Google Scholar 

  17. R. Scharf, A.R. Bishop, Phys. Rev. A 43, 12 (1991)

    MathSciNet  Google Scholar 

  18. W. Królikowski, Y.S. Kivshar, J. Opt. Soc. Am. B 13, 5 (1996)

    Article  Google Scholar 

  19. R.H. Goodman, P.J. Holmes, M.I. Weinstein, Physica D 192, 3 (2004)

    Article  MathSciNet  Google Scholar 

  20. R. Morandotti, H.S. Eisenberg, D. Dandelik, Y. Silberberg, D. Modotto, M. Sorel, C.R. Stanley, Opt. Lett. 28, 10 (2003)

    Article  Google Scholar 

  21. V.A. Brazhnyi, B.A. Malomed. Phys. Rev. E 84, 1 (2011)

    Google Scholar 

  22. H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, A. Bräuer, Opt. Exp. 11, 25 (2003)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Photonics Group, Aras International Campus, University of Tabriz, 51665-163, Tabriz, Iran

    Bahareh Haddadpour Khiaban

  2. Photonics Group, Research Institute for Applied Physics and Astronomy, University of Tabriz, 51665-163, Tabriz, Iran

    Bahareh Haddadpour Khiaban & Reza Kheradmand

  3. Department of Physics, Payame Noor University, P.O. Box: 19395-3697, Tehran, Iran

    Keivan M. Aghdami

Authors
  1. Bahareh Haddadpour Khiaban
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Keivan M. Aghdami
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Reza Kheradmand
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Keivan M. Aghdami.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khiaban, B.H., Aghdami, K.M. & Kheradmand, R. Switchable discrete cavity solitons in 2D waveguide structure with defect. Eur. Phys. J. D 69, 53 (2015). https://doi.org/10.1140/epjd/e2014-50781-2

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2014-50781-2

Keywords

Search

Navigation