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Related Concept Videos

Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

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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.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
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Updated: May 30, 2025

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Phase measurement deflectometry based on composite circular fringes.

Yanjun Fu, Xinlu Li, Guangyu Jiang

    Optics Express
    |January 29, 2025
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    Summary
    This summary is machine-generated.

    This study introduces a faster phase measurement deflectometry (PMD) technique using composite circular fringes. This method enhances measurement speed and surface detail detection for specular surfaces.

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    Area of Science:

    • Optical Metrology
    • Surface Inspection

    Background:

    • Traditional phase shift measurement is time-consuming and limited in detecting fine surface features.
    • Existing methods struggle with large curvature specular surfaces.

    Purpose of the Study:

    • To propose a phase measurement deflectometry (PMD) technique using composite circular fringes for enhanced speed and adaptability.
    • To improve sensitivity for detecting small shape changes and fine surface details.

    Main Methods:

    • Development of a phase measurement deflectometry (PMD) technique utilizing composite circular fringes.
    • Implementation of a phase extraction algorithm based on the maximum contrast factor.
    • Reduction of required fringe projection images by half.

    Main Results:

    • Composite circular fringes offer steeper phase changes, improving detection of finer surface features.
    • The technique requires only four fringe images, halving the number of projections.
    • Significant improvements in Root-Mean-Square Error (RMSE) and Peak-to-Valley (PV) values were observed compared to traditional methods.

    Conclusions:

    • The proposed composite circular fringe PMD technique significantly enhances measurement speed and sensitivity.
    • This method is highly adaptable for inspecting specular surfaces with large curvatures.
    • The technique offers superior performance in discerning fine surface details and shape changes.