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Composite solitary vortices of three-wave mixing in quasi-phase-matched photonic crystals

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  • Kong, Chao
  • Li, Jinqing
  • Tang, Xinyi
  • Li, Xuli
  • Jiao, Ju
  • Cao, Jun
  • Deng, Haiming

Abstract

We report the composite vortex solitons of three-wave mixing propagate stably in a three-dimensional (3D) quasi-phase-matched photonic crystals (QPM-PhC). The modulation of QPM-PhC is designed as a checkerboard pattern. The vortex solitons, composed by three waves (ω1,2,3) propagating through the lattices, exhibit a four-spotted discrete type, which gives rise to four distinct modes: zero-vorticity, vortex, anti-vortex, and quadrupole. The composite vortex solitons result from combinations of these modes and lead to four cases: vortex doubling, hidden vortices, vortex up-conversion, and anti-vortex up-conversion. Our findings indicate that all solitons can propagate stably through the crystals for 10 centimeters; however, only the vortex-doubling case remains stable over longer distances. This work enhances the understanding of vortex beam manipulation within 3D QPM-PhCs.

Suggested Citation

  • Kong, Chao & Li, Jinqing & Tang, Xinyi & Li, Xuli & Jiao, Ju & Cao, Jun & Deng, Haiming, 2024. "Composite solitary vortices of three-wave mixing in quasi-phase-matched photonic crystals," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:chsofr:v:187:y:2024:i:c:s096007792400910x
    DOI: 10.1016/j.chaos.2024.115358
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    References listed on IDEAS

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    1. Warambhe, Manoj C. & Gade, Prashant M., 2023. "Approach to zigzag and checkerboard patterns in spatially extended systems," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    2. Zhao, Zi-bin & Chen, Gui-hua & Liu, Bin & Li, Yong-yao, 2022. "Discrete vortex quantum droplets," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. Malomed, B.A., 2022. "Multidimensional dissipative solitons and solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
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    1. He, Jun-Rong & Jiao, Yida & Zhou, Boai & Zhao, Yuan & Fan, Zhuo & Xu, Siliu, 2024. "Vortex light bullets in rotating Quasi-Phase-Matched photonic crystals," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).

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