Skip to main content
SpringerLink
Log in

Propagation properties of Airy–Gaussian beams

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

The propagation of the Airy–Gaussian beams is studied in strongly nonlocal nonlinear media analytically and numerically. The linear momentum of the analytical Airy–Gaussian beam solution of the Snyder–Mitchell model is not conservational, which is the reason that results in the disagreement between the analytical Airy–Gaussian beam solution and the numerical simulations of the nonlocal nonlinear Schrödinger equation in the case of strong nonlocality. The quasi-Airy–Gaussian soliton in the Gaussian-shaped response material can be obtained when the parameter χ 0 is large enough, and the patterns of Airy–Gaussian beams are variable periodically in liquid crystal material during propagation.

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. G.A. Siviloglou, J. Broky, A. Dogariu, D.N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007)

    Article  ADS  Google Scholar 

  2. G.A. Siviloglou, D.N. Christodoulides, Opt. Lett. 32, 979 (2007)

    Article  ADS  Google Scholar 

  3. J. Baumgartl, M. Mazilu, K. Dholakia, Nat. Photonics 2, 675 (2008)

    Article  ADS  Google Scholar 

  4. J. Baumgartl, G.M. Hannappel, D.J. Stevenson, D. Day, M. Gu, K. Dholakia, Lab. Chip 9, 1334 (2009)

    Article  Google Scholar 

  5. P. Polynkin, M. Kolesik, J.V. Moloney, G.A. Siviloglou, D.N. Christodoulides, Science 324, 229 (2009)

    Article  ADS  Google Scholar 

  6. P. Polynkin, M. Kolesik, J. Moloney, Phys. Rev. Lett. 103, 123902 (2009)

    Article  ADS  Google Scholar 

  7. A. Chong, W. Renninger, D.N. Christodoulides, F.W. Wise, Nat. Photonics 4, 103 (2010)

    Article  ADS  Google Scholar 

  8. J.X. Li, W.P. Zang, J.G. Tian, Opt. Express 18, 7300 (2010)

    Article  Google Scholar 

  9. D.N. Christodoulides, T.H. Coskun, Opt. Lett. 21, 1460 (1996)

    Article  ADS  Google Scholar 

  10. S. Jia, J. Lee, J.W. Fleischer, G.A. Siviloglou, D.N. Christodoulides, Phys. Rev. Lett. 104, 253904 (2010)

    Article  ADS  Google Scholar 

  11. M.A. Bandres, J.C. Gutiérrez-Vega, Opt. Express 15, 16719 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. W. Hu, S.G. Ouyang, P.B. Yang, Q. Guo, S. Lan, Phys. Rev. A 77, 033842 (2008)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  16. Q. Guo, in Proceedings on Optical Transmission, Switching, and Subsystems, Proc. SPIE, Asia-Pacific Optical and Wireless Communications Conference, 2–6 November 2003, Wuhan, P.R. China, vol. 5281, ed. by C.F. Lam, C. Fan, N. Hanik, K. Oguchi (SPIE Press, Bellingham, 2004), pp. 581–594

    Google Scholar 

  17. D.M. Deng, X. Zhao, Q. Guo, S. Lan, J. Opt. Soc. Am. B 24, 2537 (2007)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. A.E. Siegman, Proc. SPIE 1224, 2 (1990)

    Article  ADS  Google Scholar 

  20. I.M. Besieris, A.M. Shaarawi, Opt. Lett. 32, 2447 (2007)

    Article  ADS  Google Scholar 

  21. Z.Y. Xu, Y.V. Kartashov, L. Torner, Opt. Lett. 30, 3171 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    D. Deng

  2. Department of Physics, Guangdong University of Education, Guangzhou, 510303, China

    H. Li

Authors
  1. D. Deng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. Deng.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Deng, D., Li, H. Propagation properties of Airy–Gaussian beams. Appl. Phys. B 106, 677–681 (2012). https://doi.org/10.1007/s00340-011-4799-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-011-4799-2

Keywords

Search

Navigation