Skip to main content
SpringerLink
Log in

Dynamics of the Pearcey Gaussian beam in linear potential

  • Regular Article – Optical Phenomena and Photonics
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

The propagation properties of the Pearcey Gaussian beam based on the fractional Schrödinger equation with linear potential are investigated numerically. It was found that the Pearcey Gaussian beam produces a self-inversion phenomenon due to the effect of the Lévy index from 1 to 2, which is in the absence of the linear potential. The linear potential has a great impact on the transmission path of the Pearcey Gaussian beam from a straight line turn to a zigzag path, and the oscillation period is inversely proportional to the linear potential. Meanwhile, the symbol of the linear potential parameter controls the direction of the incident beam. Moreover, the chirp affects the Pearcey Gaussian beam with an uneven intensity distribution during transmission. These features confirm the promising applications of the Pearcey Gaussian beam in optical manipulation and optical switch.

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

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

Similar content being viewed by others

Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: All data generated or analysed during this study are included in this published article.]

References

  1. W.P. Zhong, W.Y. Zhong, M. Belić, Z.P. Yang, Optik 245, 167612 (2021)

    Article  ADS  Google Scholar 

  2. W.P. Zhong, W.Y. Zhong, M. Belić, Z.P. Yang, Phys. Lett. A 423, 127818 (2022)

    Article  Google Scholar 

  3. W.P. Zhong, W.Y. Zhong, M. Belić, Z.P. Yang, Phys. Lett. A 432, 128009 (2022)

    Article  Google Scholar 

  4. T. Pearcey, Philos. Mag. 137(268), 311–317 (1946)

    Article  MathSciNet  Google Scholar 

  5. J.D. Ring, J. Lindberg, A. Mourka, A. Mourka, M. Mazilu, K. Dholakia, M.R. Dennis, Opt. Express 20(17), 18955–18966 (2012)

    Article  ADS  Google Scholar 

  6. A.A. Kovalev, V.V. Kotlyar, S.G. Zaskanov, A.P. Porfirev, J. Opt. 17, 035604 (2015)

    Article  ADS  Google Scholar 

  7. Z. Ren, C. Fan, Y. Shi, B. Chen, J. Opt. Soc. Am. A 33(8), 1523–1530 (2016)

    Article  ADS  Google Scholar 

  8. F. Zang, W. Yan, L. Li, Results Phys. 15, 102656 (2019)

    Article  Google Scholar 

  9. Y. Wu, Y. Wu, J. Zhao, Z. Lin, H. Huang, C. Xu, Y. Liu, K. Chen, X. Fu, H. Qiu, H. Liu, G. Wang, X. Yang, D. Deng, L. Shui, Opt. Lett. 46(10), 2461–2464 (2021)

    Article  ADS  Google Scholar 

  10. K. Zhou, S. He, S. Hong, Y. Wu, D. Deng, J. Guo, Results Phys. 19, 103526 (2020)

    Article  Google Scholar 

  11. L. Zhang, S. He, X. Peng, L. Huang, X. Yang, G. Wang, H. Liu, Y. He, D. Deng, Chaos, Solitons Fractals 143, 110608 (2021)

    Article  Google Scholar 

  12. J. Jiang, Z. Mo, D. Xu, H. Huang, L. Zhang, H. Yang, H. Huang, Y. Wu, L. Shui, H. Liu, D. Deng, Opt. Cmm. 504, 127475 (2022)

    Article  Google Scholar 

  13. J. Wu, C. Xu, L. Wu, D. Deng, Opt. Comm. 478, 126367 (2021)

    Article  Google Scholar 

  14. C. Xu, J. Wu, Y. Wu, L. Lin, J. Zhang, D. Deng, Opt. Comm. 464, 125478 (2020)

    Article  Google Scholar 

  15. Z. Lin, Y. Wu, H. Qiu, X. Fu, K. Chen, D. Deng, Commun. Nonlinear Sci. 94, 105557 (2021)

    Article  Google Scholar 

  16. Z. Lin, C. Xu, H. Huang, Y. Wu, H. Qiu, X. Fu, K. Chen, X. Yu, D. Deng, Opt. Express 29(11), 16270–16283 (2021)

    Article  ADS  Google Scholar 

  17. N. Laskin, Phys. 66, 056108 (2002)

    MathSciNet  Google Scholar 

  18. L. Stefano, Opt. Lett. 40(6), 1010–1013 (2015)

    Article  Google Scholar 

  19. Q. Li, X. Wu, Appl. Math. Lett. 53, 119–124 (2016)

    Article  MathSciNet  Google Scholar 

  20. F. Zang, Y. Wang, L. Li, Opt. Express 26(18), 23740–23750 (2018)

    Article  ADS  Google Scholar 

  21. X. Huang, Z. Deng, X. Fu, J. Opt. Soc. Am. B 34(5), 976–982 (2017)

    Article  ADS  Google Scholar 

  22. Y. Zhang, H. Zhong, M.R. Belić, Y. Zhu, W. Zhong, Y. Zhang, M. Xiao, Laser Photonics Rev. 10(1), 3–9 (2016)

    Article  Google Scholar 

  23. A. Liemert, A. Kienle, Math. 4(31) (2016)

  24. S. Ren, R. Gao, T. Guo, P. Wang, Y. Xiao, J. Phys. B: At. Mol. Opt. Phys. 55, 205401 (2022)

    Article  ADS  Google Scholar 

  25. F. Zang, L. Liu, F. Deng, Y. Liu, L. Dong, Y. Shi, Opt. Express 29(16), 26048–26057 (2021)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Physics and Electronics Engineering, Shanxi University, Taiyuan, 030006, China

    Shumin Ren, Teng Guo, Ru Gao, Pengxiang Wang & Yan Xiao

Authors
  1. Shumin Ren
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Teng Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ru Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Pengxiang Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yan Xiao
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

SR involved in formal analysis, validation, data curation, writing–original draft, and visualization. TG involved in formal analysis and validation. RG involved in formal analysis and validation. PW involved in formal analysis, validation, and supervision. YX involved in conceptualization, methodology, formal analysis, validation, supervision, and writing–review and editing.

Corresponding author

Correspondence to Yan Xiao.

Ethics declarations

Conflict of interest

No potential conflict of interest was reported by the authors.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ren, S., Guo, T., Gao, R. et al. Dynamics of the Pearcey Gaussian beam in linear potential. Eur. Phys. J. D 76, 219 (2022). https://doi.org/10.1140/epjd/s10053-022-00546-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/s10053-022-00546-9

Search

Navigation