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    Area of Science:

    • Optics and Photonics
    • Structured Light Fields

    Background:

    • Perfect (optical) vortex (PV) beams are ideal light fields with radial profiles independent of orbital angular momentum (OAM).
    • Experimental approximations of PVs, termed quasi-PVs, are generated using Bessel-Gaussian beams and Fourier lenses.
    • The precise OAM-dependent width of these quasi-PVs has remained largely unknown and often underestimated.

    Purpose of the Study:

    • To derive an explicit analytic expression for the second moment radius (width) of quasi-PVs.
    • To experimentally confirm the derived analytic expression.
    • To clarify the relationship between quasi-PV width and OAM.

    Main Methods:

    • Derivation of an analytic expression for the second moment radius of quasi-PVs.
    • Experimental verification of the derived formula using optical setups.
    • Analysis of the scaling relationship between beam width and OAM (ℓ).

    Main Results:

    • An explicit analytic expression for the second moment radius of quasi-PVs was successfully derived and experimentally confirmed.
    • The width of quasi-PVs was shown to scale proportionally with the orbital angular momentum (ℓ).
    • The proportionality constant for quasi-PV width is significantly smaller than for regular vortex modes.

    Conclusions:

    • The study provides a precise understanding of the OAM-dependent width of quasi-PVs.
    • The findings are crucial for accurately utilizing quasi-PVs in applications requiring structured light.
    • This work benefits researchers in optical trapping, tweezing, and optical communications.