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Robust multi-surface phase-shifting interferometry based on artificial neural networks.

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    Summary
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    This study introduces an Artificial Neural Network Phase-shifting Algorithm (ANNPA) to improve phase-shifting interferometry accuracy. ANNPA effectively reduces phase-shift errors, enabling precise measurements even with non-ideal conditions.

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    Area of Science:

    • Optical Metrology
    • Interferometry
    • Artificial Intelligence

    Background:

    • Phase-shift errors limit accuracy in wavelength-tuning phase-shifting interferometry.
    • Developing robust algorithms is crucial for precise phase measurements.

    Purpose of the Study:

    • To propose and validate an Artificial Neural Network Phase-shifting Algorithm (ANNPA) for enhanced phase-shifting interferometry.
    • To suppress high-order phase-shift errors and improve insensitivity to linear errors and noise.

    Main Methods:

    • Designed and trained an Artificial Neural Network Phase-shifting Algorithm (ANNPA).
    • Optimized network design and calculation steps.
    • Created a specialized training dataset to suppress high-order phase-shift errors.

    Main Results:

    • Simulations confirmed ANNPA's insensitivity to linear phase-shift errors and random noise.
    • Experimental validation using a Fizeau interferometer demonstrated ANNPA's effectiveness.
    • ANNPA successfully performed multi-surface phase-shifting interferometry under non-ideal conditions.

    Conclusions:

    • ANNPA offers a robust solution for mitigating phase-shift errors in interferometry.
    • The algorithm enables accurate phase measurements in challenging, non-ideal experimental setups.