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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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General phase-shifting algorithm for hybrid errors suppression using variable-frequency fringes.

Junxue Wang, Suodong Ma, Chinhua Wang

    Optics Express
    |December 13, 2023
    PubMed
    Summary
    This summary is machine-generated.

    A new phase-shifting algorithm uses variable-frequency fringes to suppress ripple artifacts caused by multiple errors in fringe pattern analysis. This method significantly enhances measurement accuracy compared to existing techniques.

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    Area of Science:

    • Optical Metrology
    • Image Processing
    • Scientific Instrumentation

    Background:

    • Phase-shifting fringe pattern analysis is prone to ripple artifacts.
    • Errors stem from phase-shifting inaccuracies, intensity fluctuations, and fringe harmonics.
    • Existing algorithms struggle with limited fringe patterns and multiple error sources.

    Purpose of the Study:

    • To propose a novel phase-shifting algorithm for hybrid error suppression.
    • To introduce variable-frequency fringes for improved phase retrieval.
    • To enhance measurement accuracy in fringe pattern analysis.

    Main Methods:

    • Developed a general phase-shifting algorithm utilizing variable-frequency fringes.
    • Constructed a fringe model accounting for hybrid error factors.
    • Employed a least-squares iterative technique with a step-by-step strategy.
    • Implemented regularization and harmonic coefficient constraints to address phase jumps.

    Main Results:

    • The proposed algorithm significantly enhances accuracy.
    • Achieved at least 2.1x accuracy improvement in simulations.
    • Achieved at least 1.5x accuracy improvement in experiments.
    • Demonstrated effectiveness using bi-frequency equal three-step as an example.

    Conclusions:

    • The novel algorithm effectively suppresses ripple artifacts in phase-shifting measurements.
    • Variable-frequency fringes and advanced iterative methods improve robustness.
    • This approach offers a significant advancement for accurate phase retrieval in optical metrology.