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    Area of Science:

    • Optical Metrology
    • Interferometry
    • Nanoscale Measurement

    Background:

    • Optical vortex interferometers (OVI) offer high-precision measurement capabilities.
    • Existing demodulation methods may limit OVI's application range and accuracy.
    • Accurate measurement of surface displacement and deformation is crucial in various scientific and engineering fields.

    Purpose of the Study:

    • To propose and validate a novel interferogram demodulation method for optical vortex interferometry.
    • To achieve picometer-scale measurement accuracy.
    • To extend OVI's applicability to axisymmetric non-uniform surface deformation measurement.

    Main Methods:

    • Utilized conjugated p-radial-order Laguerre-Gaussian beams to generate a petal-like interferogram.
    • Employed a camera with a multi-ring pattern sensor to obtain azimuthal intensity profiles.
    • Applied azimuthal complex spectrum analysis to retrieve phase shifts from intensity profiles.

    Main Results:

    • Achieved picometer-scale accuracy in interferogram demodulation.
    • Demonstrated a measurement error of 84 pm for 10 nm displacement.
    • Showcased a measurement error of 0.359 nm for 100 nm deformation magnitude.

    Conclusions:

    • The proposed azimuthal complex spectrum analysis method enables highly accurate interferogram demodulation for OVI.
    • The method successfully extends OVI's capability to measure axisymmetric non-uniform surface deformation.
    • This advancement enhances the utility of OVI in precision metrology.