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    Area of Science:

    • Optics
    • Diffraction phenomena
    • Interferometry

    Background:

    • Dynamic diffractive optical elements induce phase shifts in coherent light.
    • Spatial incoherence presents challenges for traditional phase shifting methods.

    Purpose of the Study:

    • To explore phase shifting in spatially incoherent light using optical coherence diffraction.
    • To enable common-path interferometer designs for phase-gradient measurement.

    Main Methods:

    • Utilizing diffraction of optical coherence to induce phase shifts in spatially incoherent fields.
    • Demonstrating phase shifts in sheared copies of stochastic optical fields.
    • Employing common-path Sagnac radial and lateral shearing interferometers.

    Main Results:

    • Phase shifts were introduced in diffraction orders of spatial coherence for incoherent illumination.
    • Larger phase shifts were achieved by matching shear values with higher diffraction orders.
    • Experimental validation confirmed the technique's efficacy in phase-gradient measurement.

    Conclusions:

    • The proposed method allows for phase shifting in spatially incoherent light without field splitting.
    • This technique is suitable for common-path interferometer designs, enhancing stability.
    • The method effectively mitigates coherence effects in interferometric measurements.