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Spatiotemporal Airyprime complex-variable-function wave packets in a strongly nonlocal nonlinear medium.

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    We introduce circular Airyprime function of complex-variable Gaussian vortex (AFCGV) wave packets, demonstrating stable rotational motions by adjusting parameters. This research advances understanding of self-bending and autofocusing structured light fields.

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    Area of Science:

    • Nonlinear optics
    • Structured light fields
    • Wave packet dynamics

    Background:

    • Circular Airyprime functions exhibit unique propagation dynamics.
    • Gaussian vortex beams possess orbital angular momentum.
    • Nonlocal nonlinear media significantly influence light propagation.

    Purpose of the Study:

    • Introduce and numerically investigate circular Airyprime function of complex-variable Gaussian vortex (AFCGV) wave packets.
    • Analyze the impact of key parameters on AFCGV wave packet behavior.
    • Explore the potential for controlling AFCGV wave packets for advanced optical applications.

    Main Methods:

    • Numerical simulation of AFCGV wave packets in a strongly nonlocal nonlinear medium.
    • Systematic variation of chirp factor, distribution parameter, and decay factor.
    • Analysis of wave packet morphology, rotational motion, Poynting vector, and gradient force.

    Main Results:

    • AFCGV wave packets exhibit stable rotational motions, including symmetric lobes and doughnuts, tunable via the distribution parameter.
    • The interplay between helicity states and abrupt autofocusing is demonstrated.
    • Poynting vector and gradient force characteristics are analyzed.

    Conclusions:

    • A theoretical model for controlling AFCGV wave packets is established.
    • The findings contribute to fundamental research in self-bending and autofocusing structured light.
    • Potential applications in advanced optical manipulation and imaging are suggested.