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    We introduce quadrant-separable multi-singularity manipulation (QSMSM) for controlling optical vortices. This method allows independent manipulation of phase singularities in specific regions of orbital angular momentum (OAM) beams.

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    Area of Science:

    • Optics and Photonics
    • Quantum Information Science

    Background:

    • Optical vortices are beams of light with orbital angular momentum (OAM).
    • Controlling the phase singularities within these beams is crucial for advanced optical applications.
    • Existing methods often lack the precision for localized manipulation.

    Purpose of the Study:

    • To propose and demonstrate a novel method for manipulating phase singularities in multi-singularity OAM beams.
    • To enable independent control over vortex positions within specific quadrants of the beam.
    • To enhance the flexibility and applicability of OAM beam manipulation.

    Main Methods:

    • Developed the quadrant-separable multi-singularity manipulation (QSMSM) technique.
    • Generated multi-singularity OAM beams via coherent superposition of mismatched Hermite-Gaussian modes.
    • Utilized a spatial light modulator for external modulation and precise control.
    • Investigated the influence of energy and spatial mismatch degrees on vortex trajectory.

    Main Results:

    • Demonstrated the ability to manipulate partial vortices within a specific quadrant while leaving others unaffected.
    • Showcased independent control of vortices in a quadrant by adjusting the energy mismatch degree.
    • Confirmed that vortex trajectory distribution is controllable via mismatch parameters.
    • Achieved enhanced flexibility in vortex control through partial singularity tuning.

    Conclusions:

    • QSMSM offers a significant advancement in the precise control of optical vortex phase singularities.
    • The method provides independent manipulation capabilities, improving control flexibility.
    • This technique holds substantial potential for applications in optical tweezers and optical modulators.