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Controllable trajectory and shape of Hermite-Gaussian soliton clusters

Author

Listed:
  • Wang, Qing
  • Zhu, Junying
  • Wang, Jun
  • Yu, Haiyan
  • Hu, Beibei

Abstract

We introduce a kind of Hermite-Gaussian (HG) solitons, with off-axis and chirp parameters, propagating in nonlinear media with harmonic potential wells. The general formula for the trajectory of solitons is derived, and the propagation properties also be analyzed. The results shown that the off-axis HG solitons can present three different propagation states (including serpentine, elliptically and circularly spiral trajectory) depending on the value of the chirp parameter. Accordingly, we propose the concept of cluster composing of several HG solitons. The cluster shape depending on the off-axis parameters of each constituent soliton, and the chirp parameters also play important roles in the evolution of the clusters. Some typical examples are numerically demonstrated for graphically illustrating the propagation properties. Obviously, the controllable trajectory and shape of clusters may be applied in optical communication and particle controlling.

Suggested Citation

  • Wang, Qing & Zhu, Junying & Wang, Jun & Yu, Haiyan & Hu, Beibei, 2024. "Controllable trajectory and shape of Hermite-Gaussian soliton clusters," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001310
    DOI: 10.1016/j.chaos.2024.114580
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    References listed on IDEAS

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    1. Liu, Dongshuai & Gao, Yanxia & Fan, Dianyuan & Zhang, Lifu, 2023. "Higher-charged vortex solitons in harmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    2. Li, Jun-Jie & Zhang, Hui-Cong, 2023. "Stability and adaptive evolution of higher-order vector vortex solitons in thermally nonlinear media with tunable transverse size," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Liu, Xiuye & Zeng, Jianhua, 2023. "Matter-wave gap solitons and vortices of dense Bose–Einstein condensates in Moiré optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    4. Malomed, B.A., 2022. "Multidimensional dissipative solitons and solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    5. Sun, Zhuo-Yue & Deng, Duo & Pang, Zhao-Guang & Yang, Zhen-Jun, 2024. "Nonlinear transmission dynamics of mutual transformation between array modes and hollow modes in elliptical sine-Gaussian cross-phase beams," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    Full references (including those not matched with items on IDEAS)

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