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    Area of Science:

    • Optical Measurement
    • Plasma Physics
    • Metrology

    Background:

    • The Fourier method for optical measurement suffers from edge spectral leakage, impacting phase extraction accuracy.
    • This issue is critical in inertial confinement fusion (ICF) research using one-dimensional velocity interferometer system for any reflector (VISAR), affecting velocity field calculations.

    Purpose of the Study:

    • To develop a novel data processing method for VISAR images to overcome the limitations of the Fourier method.
    • To enhance the accuracy and reliability of velocity measurements in ICF research.

    Main Methods:

    • A four-phase shifting technique is applied to VISAR images to generate phase-shifted data.
    • Probability density function (PDF) compensation is used, with the standard deviation of the PDF curve as an objective function for iterative error correction.
    • Least-squares method and phase unwrapping are employed for accurate phase distribution calculation.

    Main Results:

    • The proposed method effectively suppresses edge spectral leakage, outperforming the traditional Fourier method.
    • Robust performance was demonstrated across ideal simulated, noisy synthetic, and experimental VISAR images.
    • The method provides more reliable velocity data for ICF diagnosis.

    Conclusions:

    • The four-phase shifting and PDF compensation method offers a superior approach for phase extraction in VISAR measurements.
    • This technique significantly improves the accuracy of velocity field calculations in ICF research.
    • The findings contribute to more dependable diagnostic data for fusion experiments.