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Vortex Solitons in Twisted Circular Waveguide Arrays.

Liangwei Dong1, Yaroslav V Kartashov2,3, Lluis Torner2,4

  • 1Department of Physics, Shaanxi University of Science and Technology, Xi'an 710021, China.

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|September 30, 2022
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Summary
This summary is machine-generated.

Twisting circular waveguide arrays creates unique vortex solitons. This longitudinal twist stabilizes previously unstable states and generates new topological charges, offering novel control over light propagation.

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Area of Science:

  • Nonlinear optics
  • Topological photonics
  • Waveguide arrays

Background:

  • Vortex solitons are key nonlinear optical phenomena.
  • Waveguide arrays exhibit rich topological properties.
  • Discrete rotation symmetry influences soliton behavior.

Purpose of the Study:

  • Investigate topological states in twisted circular waveguide arrays.
  • Analyze the impact of longitudinal twist on vortex soliton properties.
  • Establish relationships between array symmetry, twist, and soliton charges.

Main Methods:

  • Theoretical analysis of nonlinear light propagation in twisted waveguide arrays.
  • Numerical simulations to observe vortex soliton formation and stability.
  • Exploration of systems with C_{6v} discrete rotation symmetry.

Main Results:

  • Twisting induces nonequivalence between clockwise and counterclockwise vortex states.
  • Longitudinal twist stabilizes vortex solitons with topological charges m=±1.
  • Twisting introduces instability domains for m=±2 solitons and allows forbidden m=±3 charges.

Conclusions:

  • A direct correlation exists between array symmetry, twist direction, and achievable soliton topological charges.
  • Twisted waveguide arrays offer enhanced control over vortex soliton formation and stability.
  • This work advances the understanding of topological phenomena in structured optical media.