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    Area of Science:

    • Optics and Photonics
    • Wave Propagation
    • Coherence Theory

    Background:

    • Frozen waves offer a theoretical framework for controlling wave properties.
    • Partially coherent light sources present unique challenges in controlling spatial correlations.
    • Bessel beams are known for their non-diffracting properties.

    Purpose of the Study:

    • To develop a theoretical framework for partially coherent frozen waves, termed frozen spatial coherence.
    • To enable the creation of specific two-point correlation structures in optical fields.
    • To design optical fields with tunable coherence properties along the propagation axis.

    Main Methods:

    • Superposing partially coherent zero-order Bessel beams.
    • Developing a theoretical framework based on the cross-spectral density.
    • Utilizing a two-dimensional Fourier series representation for the cross-spectral density.

    Main Results:

    • Demonstrated a method to achieve frozen spatial coherence.
    • Showcased the ability to engineer desired two-point correlation structures.
    • Designed a partially coherent field with a finite range of high coherence.

    Conclusions:

    • Frozen spatial coherence provides a viable theoretical framework for controlling correlations in partially coherent light.
    • The proposed method allows for precise engineering of coherence properties.
    • This research opens possibilities for novel applications in optical field manipulation.