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    We developed a model for spatial coherence of random fields from elliptical vortex beams. The coherence function size and shape can be controlled independently of propagation distance, a unique finding for random fields.

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    Area of Science:

    • Optics and Photonics
    • Wave Phenomena
    • Statistical Optics

    Background:

    • Random fields are crucial in various scientific domains.
    • Understanding spatial coherence is key to manipulating wave propagation.
    • Vortex beams offer unique properties for optical applications.

    Purpose of the Study:

    • To develop a general model for the spatial coherence function of random fields generated by scattering elliptical, perfect vortex beams.
    • To investigate the unique propagation characteristics of these random fields.
    • To explore methods for controlling spatial correlations.

    Main Methods:

    • Analytical modeling of the spatial coherence function.
    • Numerical simulations of beam propagation and coherence.
    • Experimental verification using scattering of elliptical vortex beams.

    Main Results:

    • A general model for the spatial coherence function was established.
    • Regimes were identified where the spatial coherence function remains invariant during propagation.
    • Precise, propagation-distance-independent control over the size and shape of spatial correlations was demonstrated.

    Conclusions:

    • The spatial coherence of random fields from elliptical vortex beams exhibits unique, controllable properties.
    • This control is independent of propagation distance, offering novel applications in optical system design.
    • The findings challenge conventional understanding of random field propagation.