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Stable dissipative optical vortex clusters by inhomogeneous effective diffusion.

Huishan Li, Shiquan Lai, Yunli Qui

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    Researchers demonstrate the creation of stable optical vortex clusters in 2D beams using a complex Ginzburg-Landau equation. The number of solitons matches the input beam's winding number, offering new methods for structured light applications.

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    Area of Science:

    • Nonlinear optics
    • Optical beam propagation
    • Complex Ginzburg-Landau equation

    Background:

    • Optical vortex clusters are complex light structures with potential applications in structured light.
    • Controlling the formation and stability of these clusters in dissipative media is challenging.

    Purpose of the Study:

    • To numerically demonstrate the generation of robust vortex clusters in two-dimensional beams.
    • To investigate the influence of asymmetric and modulated diffusion terms on vortex cluster formation.
    • To establish relationships between system parameters and vortex cluster stability.

    Main Methods:

    • Numerical simulations employing the cubic-quintic complex Ginzburg-Landau equation.
    • Inclusion of an asymmetric and periodically modulated inhomogeneous effective diffusion term.
    • Analysis of vortex cluster formation for various winding numbers (topological charges).

    Main Results:

    • Successfully generated robust optical vortex clusters in a 2D dissipative medium.
    • Demonstrated that the number of constituent vortex solitons equals the input beam's winding number.
    • Identified key relationships between diffusion/gain parameters and vortex cluster existence/stability regions.

    Conclusions:

    • The study provides a viable method for forming robust vortex clusters in 2D optical beams.
    • Results offer insights into parameter control for stable vortex cluster generation.
    • Potential applications in structured light technologies are highlighted.