Skip to main content
Log in

Discrete and dipole-mode gap solitons in higher-order nonlinear photonic lattices

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

We investigate the formation of fundamental discrete solitons and dipole-mode gap solitons in triangular photonic lattices imprinted in photorefractive nonlinear media. These lattices are strongly affected by the photorefractive anisotropy, resulting in orientation-dependent refractive index structures with reduced symmetry. It is demonstrated that two different orientations of the lattice wave enable the formation of fundamental discrete solitons in the total internal reflection gap. Furthermore, it is shown that one lattice orientation additionally supports dipole-mode solitons in the Bragg reflection gap. The experimental results are corroborated by numerical simulations using the full anisotropic model.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A.S. Davydov, J. Theor. Biol. 38, 559 (1973)

    Article  Google Scholar 

  2. W.P. Su, J.R. Schrieffer, A.J. Heeger, Phys. Rev. Lett. 42, 1698 (1979)

    Article  ADS  Google Scholar 

  3. A. Trombettoni, A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001)

    Article  ADS  Google Scholar 

  4. D.N. Christodoulides, R.I. Joseph, Opt. Lett. 13, 794 (1988)

    Article  ADS  Google Scholar 

  5. Y.S. Kivshar, G.P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, 2003), p. 540 ff

    Google Scholar 

  6. N.K. Efremidis, S. Sears, D.N. Christodoulides, J.W. Fleischer, M. Segev, Phys. Rev. E 66, 046602 (2002)

    Article  ADS  Google Scholar 

  7. J.W. Fleischer, T. Carmon, M. Segev, N.K. Efremidis, D.N. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003)

    Article  ADS  Google Scholar 

  8. D. Neshev, E. Ostrovskaya, Y.S. Kivshar, W. Krolikowski, Opt. Lett. 28, 710 (2003)

    Article  ADS  Google Scholar 

  9. J.W. Fleischer, M. Segev, N.K. Efremidis, D.N. Christodoulides, Nature 422, 147 (2003).

    Article  ADS  Google Scholar 

  10. U. Grüning, V. Lehmann, S. Ottow, K. Busch, Appl. Phys. Lett. 68, 747 (1996)

    Article  ADS  Google Scholar 

  11. T.F. Krauss, R. De La Rue, S. Brand, Nature 383, 699 (1996)

    Article  ADS  Google Scholar 

  12. J. Serbin, A. Ovsianikov, B. Chichkov, Opt. Express 12, 5221 (2004)

    Article  ADS  Google Scholar 

  13. Z. Chen, H. Martin, E.D. Eugenieva, J. Xu, A. Bezryadina, Phys. Rev. Lett. 92, 143902 (2004)

    Article  ADS  Google Scholar 

  14. H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, U. Peschel, Phys. Rev. Lett. 96, 023901 (2006)

    Article  ADS  Google Scholar 

  15. R. Fischer, D. Träger, D.N. Neshev, A.A. Sukhorukov, W. Krolikowski, C. Denz, Y.S. Kivshar, Phys. Rev. Lett. 96, 023905 (2006)

    Article  ADS  Google Scholar 

  16. J.W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, N.K. Efremidis, Opt. Express 13, 1780 (2005)

    Article  ADS  Google Scholar 

  17. C.R. Rosberg, D.N. Neshev, A.A. Sukhorukov, W. Krolikowski, Y.S. Kivshar, Opt. Lett. 32, 397 (2007)

    Article  ADS  Google Scholar 

  18. O. Peleg, G. Bartal, B. Freedman, O. Manela, M. Segev, D.N. Christodoulides, Phys. Rev. Lett. 98, 103901 (2007)

    Article  ADS  Google Scholar 

  19. A.S. Desyatnikov, D.N. Neshev, Y.S. Kivshar, N. Sagemerten, D. Träger, J. Jägers, C. Denz, Y.V. Kartashov, Opt. Lett. 30, 869 (2005)

    Article  ADS  Google Scholar 

  20. A.S. Desyatnikov, N. Sagemerten, R. Fischer, B. Terhalle, D. Träger, D.N. Neshev, A. Dreischuh, C. Denz, W. Krolikowski, Y.S. Kivshar, Opt. Express 14, 2851 (2006)

    Article  ADS  Google Scholar 

  21. B. Terhalle, A.S. Desyatnikov, C. Bersch, D. Träger, L. Tang, J. Imbrock, Y.S. Kivshar, C. Denz, Appl. Phys. B 86, 399 (2007)

    Article  ADS  Google Scholar 

  22. J. Yang, I. Makasyuk, A. Bezryadina, Z. Chen, Opt. Lett. 29, 1662 (2004)

    Article  ADS  Google Scholar 

  23. B. Terhalle, D. Träger, L. Tang, J. Imbrock, C. Denz, Phys. Rev. E 74, 057601 (2006)

    Article  ADS  Google Scholar 

  24. A.A. Zozulya, D.Z. Anderson, A.V. Mamaev, M. Saffman, Phys. Rev. A 57, 522 (1998)

    Article  ADS  Google Scholar 

  25. W. Krolikowski, E.A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y.S. Kivshar, C. Denz, B. Luther-Davies, Phys. Rev. Lett. 85, 1424 (2000)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. Rose.

Additional information

PACS

42.65.Tg; 42.65.Wi; 42.70.Qs

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rose, P., Richter, T., Terhalle, B. et al. Discrete and dipole-mode gap solitons in higher-order nonlinear photonic lattices. Appl. Phys. B 89, 521–526 (2007). https://doi.org/10.1007/s00340-007-2871-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-007-2871-8

Keywords

Navigation