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    Area of Science:

    • Optics and Photonics
    • Nanotechnology
    • Materials Science

    Background:

    • Focal position control of vortex beams is crucial for various optical applications.
    • Existing methods may lack flexibility in controlling beam properties like focal length and polarization.

    Purpose of the Study:

    • To propose and demonstrate non-classical Archimedean arrays for optical devices.
    • To achieve bifocal length and polarization-switchable focal length control of vortex beams.

    Main Methods:

    • Constructing Archimedean arrays using rotational elliptical holes in a silver film.
    • Utilizing two one-turned Archimedean trajectories.
    • Investigating the influence of elliptical hole rotation and geometric phase on beam properties.

    Main Results:

    • Demonstrated polarization control of optical performance through elliptical hole rotation.
    • Showcased the ability to shape vortex beams (converged or diverged) using circular polarization.
    • Achieved switchable focal planes for vortex beams based on polarization handedness and array geometry.

    Conclusions:

    • The proposed Archimedean array offers versatile control over vortex beam focal position and properties.
    • Experimental and numerical simulations confirm the exotic optical performance of the designed array.
    • This technology holds significant potential for advanced optical devices and applications.