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    Area of Science:

    • Optics
    • Wave physics
    • Signal processing

    Background:

    • Superoscillations are phenomena where bandlimited signals exhibit localized oscillations exceeding their maximum frequency.
    • Previous methods for designing superoscillatory waves often involve complex mathematical frameworks.
    • Optical vortices are beams of light with a helical phase front.

    Purpose of the Study:

    • To introduce a simplified method for constructing superoscillations.
    • To demonstrate the generation of superoscillatory optical vortices using this new technique.

    Main Methods:

    • A straightforward Fourier method is employed for the construction of superoscillations.
    • The method is applied to generate superoscillations within the transverse plane of an optical field.
    • The resulting optical field is shaped into optical vortices.

    Main Results:

    • The study successfully demonstrates the generation of superoscillatory optical vortices.
    • The proposed Fourier method offers a simpler alternative to existing complex mathematical approaches.
    • The transverse plane of the optical field exhibits controlled superoscillatory behavior.

    Conclusions:

    • A simple and effective Fourier method for designing superoscillatory optical vortices has been developed.
    • This approach significantly reduces the mathematical complexity associated with superoscillation generation.
    • The findings pave the way for new applications of superoscillatory phenomena in optics.