Skip to main content
SpringerLink
Log in

Dynamics of collinear Laguerre–Gaussian beams in nonlocal nonlinear media

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

We study the optical fields that are produced by two collinear Laguerre–Gaussian (LG) beams in strongly nonlocal nonlinear media. Various novel kinds of rotating breathers and solitons, such as quadrangle, pentacle, pentagon, etc. can be obtained by combining different mode-index LG beams with the different relative amplitude. The rotating and translating asymmetric breathers and solitons can be obtained when the difference of the azimuthal charge between the two combining LG beams is 1.

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. F.S. Roux, Appl. Opt. 32, 3715 (1993)

    Article  ADS  Google Scholar 

  2. C. Patterson, J. Mod. Opt. 41, 757 (1994)

    Article  ADS  Google Scholar 

  3. F.S. Roux, J. Opt. Soc. Am. A 11, 2236 (1994)

    Article  ADS  Google Scholar 

  4. H. He, M.E. Friese, N.R. Heckenberg, H. Rubinsztein-Dunlop, Phys. Rev. Lett. 75, 826 (1995)

    Article  ADS  Google Scholar 

  5. O. Bryngdahl, J. Opt. Soc. Am. 63, 1098 (1973)

    Article  ADS  Google Scholar 

  6. J.F. Nye, M.V. Berry, Proc. R. Soc. Lond. A 336, 165 (1974)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. J.F. Nye, Proc. R. Soc. Lond. A 361, 21 (1978)

    Article  ADS  Google Scholar 

  8. N.B. Baranova, B.Ya. Zeldovich, A.V. Mamaev, N.F. Pilipetski, V.V. Shkunov, Eksp. Teor. Fiz. 33, 206 (1981) [JETP Lett. 33, 195 (1981)]

    Google Scholar 

  9. I.D. Maleev, G.A. Swartzlander, J. Opt. Soc. Am. B 20, 1169 (2003)

    Article  ADS  Google Scholar 

  10. E.J. Galvez, N. Smiley, N. Fernandes, Proc. SPIE 6131, 19 (2006)

    ADS  Google Scholar 

  11. S.M. Baumann, D.M. Kalb, L.H. MacMillan, E.J. Galvez, Opt. Express 17, 9818 (2009)

    Article  ADS  Google Scholar 

  12. S. Franke-Arnold, J. Leach, M.J. Padgett, V.E. Lembessis, D. Ellinas, A.J. Wright, J.M. Girkin, P. Öhberg, A.S. Arnold, Opt. Express 15, 8619 (2006)

    Article  ADS  Google Scholar 

  13. P. Coullet, L. Gill, F. Rocca, Opt. Commun. 73, 403 (1989)

    Article  ADS  Google Scholar 

  14. G.A. Swartlander Jr., C.T. Law, Phys. Rev. Lett. 69, 2503 (1992)

    Article  ADS  Google Scholar 

  15. A.I. Yakimenko, Y.A. Zaliznyak, Y. Kivshar, Phys. Rev. E 71, 065603(R) (2005)

    Article  ADS  Google Scholar 

  16. D. Briedis, D.E. Petersen, D. Edmundson, W. Krolikowski, O. Bang, Opt. Express 13, 435 (2005)

    Article  ADS  Google Scholar 

  17. C. Rotschild, O. Cohen, O. Manela, M. Segev, T. Carmon, Phys. Rev. Lett. 95, 213904 (2005)

    Article  ADS  Google Scholar 

  18. A.I. Yakimenko, V.M. Lashkin, O.O. Prikhodko, Phys. Rev. E 73, 066605 (2006)

    Article  ADS  Google Scholar 

  19. S. Lopez-Aguayo, J.C. Gutiérrez-Vega, Opt. Express 15, 18326 (2007)

    Article  ADS  Google Scholar 

  20. D.M. Deng, Q. Guo, J. Opt. A, Pure Appl. Opt. 10, 035101 (2008)

    Article  ADS  Google Scholar 

  21. D.M. Deng, Q. Guo, J. Phys. B, At. Mol. Opt. Phys. 41, 145401 (2008)

    Article  ADS  Google Scholar 

  22. D.M. Deng, Q. Guo, W. Hu, J. Phys. B, At. Mol. Opt. Phys. 41, 225402 (2008)

    Article  ADS  Google Scholar 

  23. Z. Xu, N.F. Smyth, A.A. Minzoni, Y.S. Kivshar, Opt. Lett. 34, 1414 (2009)

    Article  ADS  Google Scholar 

  24. D.M. Deng, Q. Guo, W. Hu, Opt. Lett. 34, 43 (2009)

    Article  Google Scholar 

  25. D. Buccoliero, A.S. Desyatnikov, W. Krolikowski, Y.S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007)

    Article  ADS  Google Scholar 

  26. Y.J. He, B.A. Malomed, D. Mihalache, H.Z. Wang, Phys. Rev. A 78, 023824 (2008)

    Article  ADS  Google Scholar 

  27. S. Ouyang, W. Hu, Q. Guo, Phys. Rev. A 76, 053832 (2007)

    Article  ADS  Google Scholar 

  28. Z.P. Dai, Y.Q. Wang, Q. Guo, Phys. Rev. A 77, 063834 (2008)

    Article  ADS  Google Scholar 

  29. Q. Guo, B. Luo, F. Yi, S. Chi, Y. Xie, Phys. Rev. E 69, 016602 (2004)

    Article  ADS  Google Scholar 

  30. A.W. Snyder, D.J. Mitchell, Science 276, 1538 (1997)

    Article  Google Scholar 

  31. W. Krolikowski, O. Bang, N.I. Nikolov, D. Neshev, J. Wyller, J.J. Rasmussen, D. Edmundson, J. Opt. B, Quantum Semiclass. Opt. 6, S288 (2004)

    Article  ADS  Google Scholar 

  32. W.P. Zhong, Y. Lin, Phys. Rev. A 75, 061801(R) (2007)

    Article  ADS  Google Scholar 

  33. E. Abramochkin, V. Volostnikov, Opt. Commun. 102, 336 (1993)

    Article  ADS  Google Scholar 

  34. E. Abramochkin, V. Volostnikov, Opt. Commun. 125, 302 (1996)

    Article  ADS  Google Scholar 

  35. V.V. Kotlyar, V.A. Soifer, S.N. Khonina, Tech. Phys. Lett. 23, 657 (1997)

    Article  ADS  Google Scholar 

  36. E. Abramochkin, V. Volostnikov, Phys. Usp. 47, 1177 (2004)

    Article  ADS  Google Scholar 

  37. R. Piestun, Y.Y. Schechner, J. Shamir, J. Opt. Soc. Am. A 17, 294 (2000)

    Article  ADS  Google Scholar 

  38. A. Bekshaev, M. Soskin, M. Vasnetsov, Opt. Lett. 31, 694 (2006)

    Article  ADS  Google Scholar 

  39. A. Bekshaev, M. Soskin, Opt. Lett. 31, 2199 (2006)

    Article  ADS  Google Scholar 

  40. M.V. Berry, M.R. Dennis, Proc. R. Soc. Lond. A 456, 2059 (2000)

    Article  MATH  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Key laboratory of Photonic Information Technology of Guangdong Higher Educaiton Institutes, South China Normal University, Guangzhou, 510631, People’s Republic of China

    D. Deng & Q. Guo

Authors
  1. D. Deng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Q. Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Q. Guo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Deng, D., Guo, Q. Dynamics of collinear Laguerre–Gaussian beams in nonlocal nonlinear media. Appl. Phys. B 100, 897–902 (2010). https://doi.org/10.1007/s00340-010-4077-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-010-4077-8

Keywords

Search

Navigation