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Correcting vortex splitting in higher order vortex beams.

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    Area of Science:

    • Optical physics
    • Beam propagation
    • Holography

    Background:

    • Vortex beams carry orbital angular momentum.
    • Singularity splitting degrades beam quality and limits applications.

    Purpose of the Study:

    • To present a general method for first-order compensation of singularity splitting in vortex beams.
    • To enable precise control over phase singularities in optical beams.

    Main Methods:

    • Superimposing multiple forked holograms on a spatial light modulator (SLM).
    • Generating vortex beams with controlled phase singularities (ℓ = 0, 1, 2, 3).
    • Applying a radial phase for compensation in multiple planes.

    Main Results:

    • Successfully compensated vortex splitting at a single plane.
    • Generated beams with desired phase singularities of orders ℓ = 0, 1, 2, and 3.
    • Extended the method to simultaneously compensate splitting at near and far fields for an ℓ = 2 beam.

    Conclusions:

    • The demonstrated method offers a robust way to control vortex beam splitting.
    • This technique has potential for advanced optical systems requiring high-fidelity vortex beams.