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    Partially coherent cylindrical sources are introduced, revealing how their angularly modulated Hankel modes filter during propagation. Incoherent cylindrical sources generate spatial coherence in radiated light.

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    Area of Science:

    • Optics and Photonics
    • Classical Optics
    • Coherence Theory

    Background:

    • Partially coherent light sources are crucial in various optical applications.
    • Understanding the propagation characteristics of light from cylindrical sources is essential.
    • Scalar diffraction theory provides a framework for analyzing light propagation.

    Purpose of the Study:

    • To introduce and analyze partially coherent scalar sources with cylindrical symmetry.
    • To investigate the propagation behavior of angularly modulated Hankel modes.
    • To examine the emergence of spatial and radial coherence in radiated fields from cylindrical sources.

    Main Methods:

    • Introduction of partially coherent scalar sources with cylindrical symmetry.
    • Analysis of homogeneous cross-spectral densities and their Hankel modes.
    • Investigation of mode filtering during propagation.
    • Examination of spatial and radial coherence properties.

    Main Results:

    • Homogeneous cross-spectral densities exhibit angularly modulated Hankel modes.
    • Mode amplitudes undergo filtering during propagation.
    • Incoherent cylindrical sources generate spatial coherence in the radiated light.
    • Radial coherence of the radiated field is analyzed.

    Conclusions:

    • Partially coherent cylindrical sources offer unique propagation characteristics.
    • The study provides criteria for analyzing such sources.
    • Emergence of spatial coherence from incoherent sources is demonstrated.
    • Non-homogeneous cylindrical sources are also considered for future study.