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The evolution and interaction of the asymmetric Pearcey–Gaussian beam in nonlinear Kerr medium

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Abstract

In this paper, the evolution and interaction of the Pearcey–Gaussian beam in nonlinear Kerr medium are numerically studied. The results show that the self-focusing effect can suppress the inversion of the Pearcey–Gaussian beam and cause the main lobe and side lobes of Pearcey–Gaussian beam to separate, forming solitons during propagation, while the defocusing effect can retain partially the beam inversion and accelerate its spatial expansion after the inversion. As for the interaction between the Pearcey–Gaussian beams, in self-focusing medium, except for the elastic interaction between the main lobes, the in-phase between them can result in the pattern of periodic collision around the center of coordinate caused by the side lobes, while the out-of-phase can suppress its occurrence. In defocusing medium, the interactions of the in-phase and out-of-phase Pearcey–Gaussian beams show the constructive and destructive interference, respectively. Finally, the influence of the width of Gaussian function in Pearcey–Gaussian beam on the interaction of the two Pearcey–Gaussian beams is studied.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (Grant nos. 61475198 and 11705108), the Shanxi Scholarship Council of China (Grant no. 2015-011), 111 project (Grant no. D18001), the Hundred Talent Program of the Shanxi Province (2018), and the Central Government guides local science and Technology Development Fund projects (Grant no. YDZJSX2021B011).

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Authors and Affiliations

  1. Institute of Theoretical Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan, 030006, China

    Su Zhang & Lu Li

  2. Institute of Solid State Physics, Shanxi Datong University, Datong, 037009, China

    Feng Zang & Lijuan Dong

  3. Shanxi Provincial Key Laboratory of Microstructure Electromagnetic Functional Materials, Shanxi Datong University, Datong, 037009, China

    Feng Zang & Lijuan Dong

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  1. Su Zhang
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  4. Lu Li
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Correspondence to Lu Li.

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Zhang, S., Zang, F., Dong, L. et al. The evolution and interaction of the asymmetric Pearcey–Gaussian beam in nonlinear Kerr medium. Appl. Phys. B 128, 179 (2022). https://doi.org/10.1007/s00340-022-07899-4

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