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    Area of Science:

    • Optics and Photonics
    • Wave Phenomena
    • Coherence Theory

    Background:

    • Partially coherent light sources are crucial in various optical applications.
    • Modeling complex coherence properties, especially for rectangular symmetries, remains challenging.
    • Existing methods may lack flexibility for advanced beam shaping.

    Purpose of the Study:

    • To develop a versatile and convenient method for modeling partially coherent sources with rectangular coherence.
    • To explore new possibilities in beam shaping using coherence modulation.
    • To introduce novel partially coherent beam models with unique propagation characteristics.

    Main Methods:

    • Structuring the degree of coherence using two separable arbitrary functions.
    • Analyzing the dependence of variables for flexible source modeling.
    • Developing specific models, including rectangular sinc-correlated and vortex beam types.

    Main Results:

    • A flexible framework for modeling partially coherent sources with rectangular coherence was established.
    • Demonstrated opportunities for beam shaping via coherence modulation.
    • Introduced rectangular sinc-correlated models exhibiting self-focusing.
    • Presented novel partially coherent vortex beams with self-rotation properties.

    Conclusions:

    • The proposed method offers a powerful tool for designing and controlling light beams.
    • The new source models open avenues for advanced applications in optical beam shaping and manipulation.
    • Coherence modulation provides a viable strategy for engineering light field properties.