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    Area of Science:

    • Optics and Photonics
    • Quantum Optics
    • Coherence Theory

    Background:

    • Characterizing the coherence properties of optical fields is crucial for various applications, including imaging, spectroscopy, and quantum information processing.
    • Traditional methods for measuring the spectral and complex degrees of coherence can be complex and time-consuming, often requiring sophisticated optical setups.
    • The van Cittert-Zernike theorem provides a theoretical framework relating the spatial coherence of a light source to its far-field intensity distribution.

    Purpose of the Study:

    • To develop and demonstrate a novel, fast experimental technique for measuring both the spectral and complex degrees of coherence of an optical field.
    • To validate the accuracy of the proposed method by comparing experimental results with theoretical predictions.
    • To showcase the method's applicability to broadband thermal sources and two-dimensional coherence functions.

    Main Methods:

    • Utilizing a simple binary amplitude mask in conjunction with a detector array to capture optical field information.
    • Implementing a streamlined measurement protocol for rapid acquisition of coherence data.
    • Analyzing the collected data to reconstruct the two-dimensional spectral degree of coherence function.

    Main Results:

    • Successfully demonstrated a fast measurement of the spectral degree of coherence.
    • The experimental results for both amplitude and phase of the coherence function showed excellent agreement with the predictions of the van Cittert-Zernike theorem.
    • The method proved effective for characterizing the coherence of a broadband thermal source.

    Conclusions:

    • The presented experimental method offers a significant advancement in the fast and accurate measurement of optical field coherence.
    • This technique provides a practical and efficient tool for researchers and engineers working with coherent light.
    • The findings reinforce the validity of the van Cittert-Zernike theorem in describing coherence properties of optical fields.