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Robust three-frame random phase-shifting interferometry based on dynamic mode decomposition method.

Ligeng Wang, Hangying Zhang, Kai Meng

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    This study introduces a novel three-frame random phase-shifting algorithm using dynamic mode decomposition (DMD) for accurate phase demodulation. The method reduces frame requirements and enhances robustness against noise and intensity variations.

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    Area of Science:

    • Optics and Photonics
    • Signal Processing
    • Data Analysis

    Background:

    • Dynamic Mode Decomposition (DMD) shows potential for phase demodulation applications.
    • Current DMD-based phase demodulation typically requires a minimum of four interferogram frames with fixed phase shifts.

    Purpose of the Study:

    • To propose a novel three-frame random phase-shifting algorithm based on dynamic mode decomposition.
    • To reduce the number of required interferogram frames for phase demodulation.
    • To enable phase demodulation with randomly shifted interferograms.

    Main Methods:

    • Elimination of background patterns via differencing and normalization.
    • Algebraic operations on processed frames to create a new sequence of phase-shifted interferograms.
    • Phase extraction using dynamic mode decomposition on the generated sequence.

    Main Results:

    • Successfully reduced the minimum frame requirement from four to three.
    • Enabled phase demodulation for randomly phase-shifted interferograms.
    • Demonstrated high phase estimation accuracy and robustness against noise, fringe number variations, and intensity fluctuations.

    Conclusions:

    • The proposed three-frame random phase-shifting algorithm effectively utilizes dynamic mode decomposition for phase demodulation.
    • This method offers a more efficient and robust alternative to existing techniques, particularly in scenarios with limited frames or random phase shifts.