Skip to main content
Log in

Coherent interactions of multi-Airy–Gaussian beams in photorefractive media

  • Research Article
  • Published:
Journal of Optics Aims and scope Submit manuscript

Abstract

We have investigated the interaction properties of multi-Airy-Gaussian beams under the in-phase and out-phase conditions, respectively. For the case of three Airy–Gaussian beams, the breathing solitons with single, two and three components can be observed under certain conditions. The breathing solitons with single, three and four components can be observed for four Airy–Gaussian beams. The types of breathing solitons for out-phase multi-Airy–Gaussian beams are less than that of in-phase multi-Airy–Gaussian beams. Furthermore, the types of breathing solitons can be controlled by adjusting the space interval, nonlinear parameter and self-accelerating direction.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. G.A. Siviloglou, D.N. Christodoulides, Accelerating finite energy Airy beams. Opt. Lett. 32, 979 (2007)

    Article  ADS  Google Scholar 

  2. Y.Q. Zhang, M.R. Belic, H.B. Zheng, H.X. Chen, C.B. Li, Y.Y. Li, Y.P. Zhang, Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media. Opt. Express 22, 7160 (2014)

    Article  ADS  Google Scholar 

  3. I.M. Allayarov, E.N. Tsoy, Dynamics of Airy beams in nonlinear media. Phys. Rev. A 90, 023852 (2014)

    Article  ADS  Google Scholar 

  4. M.Z. Zhang, G.W. Huo, H. Zhong, Z. Hui, Interactions between self-accelerating beams in photorefractive media. Opt. Express 25, 22104 (2017)

    Article  ADS  Google Scholar 

  5. M. Shen, W. Li, R.K. Lee, Control on the anomalous interaction of Airy beams in nematic liquid crystals. Opt. Express 24, 8501 (2016)

    Article  ADS  Google Scholar 

  6. G.A. Siviloglou, J. Broky, A. Dogariu, D.N. Christodoulides, Observation of accelerating Airy beams. Phys. Rev. Lett. 99, 213901 (2007)

    Article  ADS  Google Scholar 

  7. S. Jia, J. Lee, J.W. Fleischer, G.A. Siviloglou, D.N. Christodoulides, Diffusion-trapped Airy beams in photorefractive media. Phys. Rev. Lett. 104, 253904 (2010)

    Article  ADS  Google Scholar 

  8. I. Dolev, I. Kaminer, A. Shapira, M. Segev, A. Arie, Experimental observation of self-accelerating beams in quadratic nonlinear media. Phys. Rev. Lett. 108, 113903 (2012)

    Article  ADS  Google Scholar 

  9. Z. Cai, Y. Liu, C.C. Zhang et al., Generation of colorful Airy beams and Airy imaging of letters via two-photon processed cubic phase plates. Opt. Lett. 43, 1151 (2018)

    Article  ADS  Google Scholar 

  10. T. Bouchet, N. Marsal, M. Sciamanna, D. Wolfersberger, Solitonic characteristics of Airy beam nonlinear propagation. Phys. Rev. A 97, 051801(R) (2018)

    Article  ADS  Google Scholar 

  11. J. Baumgartl, M. Mazilu, K. Dholakia, Optically mediated particle clearing using Airy wavepackets. Nat. Photon. 2, 675 (2008)

    Article  ADS  Google Scholar 

  12. P. Polynkin, M. Kolesik, J.V. Moloney, G.A. Siviloglou, D.N. Christodoulides, Curved plasma channel generation using ultraintense Airy beams. Science 32, 229–232 (2009)

    Article  ADS  Google Scholar 

  13. J.X. Li, X.B. Fan, W.P. Zang, J.G. Tian, Vacuum electron acceleration driven by two crossed Airy beams. Opt. Lett. 36, 648 (2011)

    Article  ADS  Google Scholar 

  14. M.A. Bandres, J.C. Gutiérrez-Vega, Airy-Gauss beams and their transformation by paraxial optical systems. Opt. Express 15, 16719 (2007)

    Article  ADS  Google Scholar 

  15. D.M. Deng, H. Li, Propagation properties of Airy–Gaussian beams. Appl. Phys. B 106, 677 (2012)

    Article  ADS  Google Scholar 

  16. C.D. Chen, B. Chen, X. Peng, D.M. Deng, Propagation of Airy–Gaussian beam in Kerr medium. J. Opt. 17, 035504 (2015)

    Article  ADS  Google Scholar 

  17. M.L. Zhou, C.D. Chen, B. Chen, X. Peng, Y.L. Peng, D.M. Deng, Propagation of an Airy–Gaussian beam in uniaxial crystals. Chin. Phys. B 24, 124102 (2015)

    Article  ADS  Google Scholar 

  18. X.P. Zhang, Bound states of breathing Airy–Gaussian beams in nonlocal nonlinear medium. Opt. Commun. 367, 364 (2016)

    Article  ADS  Google Scholar 

  19. M.L. Zhou, Y.L. Peng, C.D. Chen, B. Chen, X. Peng, D.M. Deng, Interaction of Airy–Gaussian in saturable media. Chin. Phys. B 25, 084102 (2016)

    Article  ADS  Google Scholar 

  20. Y.L. Peng, X. Peng, B. Chen, M.L. Zhou, C.D. Chen, D.M. Deng, Interaction of Airy–Gaussian beams in Kerr media. Opt. Commun. 359, 116 (2016)

    Article  ADS  Google Scholar 

  21. W.J. Chen, K.Q. Lu, J.L. Hui, B.J. Zhang, Propagation and interaction of Airy–Gaussian beams in saturable nonlinear medium. Acta Phys. Sin. 65, 244202 (2016)

    Google Scholar 

  22. Z.W. Shi, J. Xue, X. Zhu, Y. Xiang, H.G. Li, Interaction of Airy–Gaussian beams in photonic lattices with defects. Phys. Rev. E 95, 042209 (2017)

    Article  ADS  Google Scholar 

  23. Q.C. Jiang, Y.L. Su, Z.W. Ma, W. Zheng, Y.H. Li, H.X. Nie, Propagation properties of Airy–Gaussian beams in centrosymmetric photorefractive media. J. Mod. Opt. 65, 1 (2018)

    Article  ADS  Google Scholar 

  24. W.J. Chen, Y. Ju, C.Y. Liu, L.K. Wang, K.Q. Lu, Generation of breathing solitons in the propagation and interactions of Airy-Gaussian beams in a cubic-quintic nonlinear medium. Chin. Phys. B 27, 114216 (2018)

    Article  ADS  Google Scholar 

  25. Y.L. Su, Q.C. Jiang, X.M. Ji, Coherent interactions of multi bright spatial solitons in biased photorefractive crystals. Optik 125, 1231 (2014)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work was supported by the Natural Science Foundation of China (Grant No. U1631106), the Natural Science Foundation of Shanxi Province, China (Grant No. 201801D121023) and the Doctor Scientific Research Fund of Yuncheng University (Grant No.YQ-2018004).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qichang Jiang.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, Q., Su, Y., Ma, Z. et al. Coherent interactions of multi-Airy–Gaussian beams in photorefractive media. J Opt 49, 224–229 (2020). https://doi.org/10.1007/s12596-020-00610-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12596-020-00610-w

Keywords

Navigation