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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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    This study introduces an error-immune algorithm for calculating the modulus of the degree of coherence using phase shifting interferometry. The new method enhances accuracy by mitigating instabilities and drifts common in optical coherence measurements.

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    Area of Science:

    • Optical physics
    • Interferometry
    • Coherence theory

    Background:

    • The modulus of the degree of coherence is crucial for understanding wave propagation and interference.
    • Traditional methods using fringe analysis or phase shifting can be susceptible to environmental instabilities and drifts.
    • Pixel-oriented evaluations in phase shifting methods require robust algorithms to ensure accuracy.

    Purpose of the Study:

    • To develop an error-immune algorithm for calculating the modulus of the degree of coherence.
    • To improve the accuracy and reliability of coherence measurements using phase shifting interferometry.
    • To address the limitations of existing methods concerning instabilities and drifts.

    Main Methods:

    • Utilizing a lateral shearing interferometer with a diffractive grating wedge for linearly progressive shear.
    • Employing phase shifting techniques with five π/2-steps of the reference phase.
    • Deriving an error-immune algorithm specifically for calculating the modulus of the coherence function.

    Main Results:

    • The proposed algorithm effectively calculates the modulus of the degree of coherence.
    • The method demonstrates robustness against instabilities and drifts inherent in phase shifting interferometry.
    • Accurate pixel-oriented evaluations of coherence are achieved.

    Conclusions:

    • The developed error-immune algorithm provides a reliable approach for coherence modulus determination.
    • Phase shifting interferometry, when combined with this algorithm, offers enhanced accuracy in optical measurements.
    • This technique is valuable for applications requiring precise coherence analysis.