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Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
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Updated: Jul 8, 2025

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Absolute phase retrieval based on fringe amplitude encoding without any additional auxiliary pattern.

Jian Wang, Yiping Cao, Haitao Wu

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    A novel absolute phase retrieval method uses fringe amplitude encoding for precise measurements without extra patterns. This space division multiplexing approach enhances anti-interference capabilities for accurate optical metrology.

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    Area of Science:

    • Optical Metrology
    • Phase Retrieval Techniques

    Background:

    • Conventional intensity coding methods for absolute phase retrieval often rely on time division multiplexing and require multiple auxiliary patterns.
    • This can increase system complexity and data acquisition time.

    Purpose of the Study:

    • To propose a novel absolute phase retrieval method utilizing fringe amplitude encoding.
    • To eliminate the need for additional auxiliary patterns by employing space division multiplexing.

    Main Methods:

    • Encoding fringe amplitudes into four levels within sinusoidal phase-shifting patterns.
    • Generating space division multiplexing composite patterns.
    • Utilizing image morphological processing for codeword extraction and grayscale segmentation.
    • Implementing a half-period single-connected domain correction method for codewords.
    • Segmenting phase unwrapping using constructed phase zero points to suppress jump errors.

    Main Results:

    • Successfully retrieved absolute phase without additional auxiliary patterns.
    • Demonstrated improved anti-interference capability through morphological processing and codeword correction.
    • Experimental results validated the feasibility and effectiveness of the proposed method.

    Conclusions:

    • The proposed fringe amplitude encoding method offers an efficient and robust approach for absolute phase retrieval.
    • Space division multiplexing combined with advanced image processing techniques provides a significant advancement in optical metrology.