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    This study uses a Young's double-slit experiment to measure the topological charge (TC) of partially coherent vortex beams (PCVB). The phase of the cross-spectral density reveals both the sign and magnitude of the TC.

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    Area of Science:

    • Optics and Photonics
    • Quantum Optics
    • Beam Characterization

    Background:

    • Partially coherent vortex beams (PCVB) possess unique properties related to their phase structure.
    • Characterizing the topological charge (TC) of such beams is crucial for various optical applications.
    • Existing methods for TC measurement can be complex.

    Purpose of the Study:

    • To investigate the cross-spectral density (CSD) of a PCVB after passing through a double-slit.
    • To develop a simplified method for measuring the sign and magnitude of the TC in PCVB.
    • To establish a relationship between CSD phase and TC properties.

    Main Methods:

    • Performing a Young's double-slit experiment with a PCVB.
    • Analyzing the CSD distribution at the focal plane.
    • Correlating CSD phase patterns with TC values.

    Main Results:

    • The phase of the CSD distribution quantitatively characterizes the sign and magnitude of the TC.
    • TC magnitude is half the number of coherence singularities.
    • TC sign is determined by the phase winding direction of coherence singularities.

    Conclusions:

    • A simple and experimentally demonstrated technique for TC measurement of PCVB is presented.
    • The method relies on the CSD distribution after a double-slit.
    • This approach offers a conceptually simpler alternative to existing TC measurement techniques.