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Two-step algorithm for removing the rotationally asymmetric systemic errors on grating lateral shearing

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    This summary is machine-generated.

    A new algorithm enhances grating lateral shearing interferometers for ultra-high accuracy testing by removing systemic errors. This method improves wavefront aberration measurement by optimizing rotation angles for error immunity.

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    Area of Science:

    • Optical metrology
    • Interferometry
    • Wavefront sensing

    Background:

    • Grating lateral shearing interferometers are used for high-accuracy optical testing.
    • Systemic errors and orthogonality issues can limit measurement precision.
    • Accurate wavefront aberration measurement is crucial in optical system design.

    Purpose of the Study:

    • To develop a method for eliminating rotationally asymmetric systemic errors in grating lateral shearing interferometers.
    • To introduce a novel rotation method for wavefront aberration acquisition.
    • To improve the accuracy and reliability of absolute testing using shearing interferometry.

    Main Methods:

    • A two-step algorithm was proposed to remove systemic errors.
    • A rotation method was employed, selecting specific rotation angles.
    • Simulations and experimental verifications were conducted.

    Main Results:

    • The proposed two-step algorithm effectively removes rotationally asymmetric systemic errors.
    • The rotation method allows for wavefront aberration acquisition with minimized decentration.
    • Systemic error immunity was achieved simultaneously with accurate measurement.
    • Both simulation and experimental results confirmed the effectiveness of the method.

    Conclusions:

    • The developed algorithm and rotation method significantly enhance the accuracy of grating lateral shearing interferometers.
    • This approach offers a new strategy for precise wavefront aberration measurement.
    • The findings are beneficial for ultra-high accuracy absolute testing in optical metrology.