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    Area of Science:

    • Optics
    • Quantum Optics
    • Statistical Optics

    Background:

    • Optical vortices are fundamental in various applications.
    • Controlling vortex properties like core location and size is challenging.
    • Existing optical sources lack precise control over vortex characteristics.

    Purpose of the Study:

    • To introduce a new class of wide-stationary optical sources.
    • To enable controlled generation of spectral densities with optical vortices.
    • To provide precise control over the vortex core's location and size.

    Main Methods:

    • Designing a specific degree of coherence profile for optical sources.
    • Modeling the source coherence state using a combination of helicoidal and Cartesian phase factors.
    • Analyzing the dependence on the separation between the nth power of radius-vectors.

    Main Results:

    • Demonstration of wide-stationary optical sources with tunable coherence.
    • Successful generation of spectral densities with controllable optical vortex cores.
    • Achieved precise control over the vortex core's location and size within a specified range.

    Conclusions:

    • The proposed optical sources offer unprecedented control over vortex properties.
    • This advancement has significant implications for optical manipulation and imaging.
    • The developed model provides a robust framework for designing advanced optical sources.