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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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Gain and phase shift are properties of linear circuits that describe the effect a circuit has on a sinusoidal input voltage or current. The circuit's behavior that contains reactive elements will depend on the frequency of the input sinusoid. As a result, it is observed that the gain and phase shift will all be frequency functions.
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Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass...
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Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
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Differential phase measurement based on synchronous phase shift determination.

Chengxin Zhou, Xianxin Han, Zhenqian Wang

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    |April 27, 2022
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    Summary
    This summary is machine-generated.

    We developed a new differential phase measurement method for differential interference contrast (DIC) microscopy. This technique offers high accuracy and real-time phase shift measurement for improved imaging.

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    Area of Science:

    • Optical microscopy
    • Phase contrast imaging
    • Metrology

    Background:

    • Differential Interference Contrast (DIC) microscopy is a powerful technique for visualizing unstained specimens.
    • Accurate phase shift determination is crucial for quantitative analysis in DIC microscopy.
    • Existing methods may face limitations in real-time measurement, accuracy, and noise suppression.

    Purpose of the Study:

    • To propose and validate a novel differential phase measurement method for DIC microscopy.
    • To achieve on-line, dynamic, real-time, synchronous, and high-precision phase shift measurement.
    • To enable accurate phase reconstruction of specimens using the phase-integral algorithm.

    Main Methods:

    • Utilized synchronous phase shift determination based on an on-line phase shift measurement device.
    • Generated carrier interferograms to determine the phase shift of DIC images.
    • Employed the least-squares phase-shifting algorithm for differential phase extraction and the phase-integral algorithm for phase reconstruction.

    Main Results:

    • Demonstrated superior error compensation, anti-interference, and noise suppression capabilities.
    • Achieved an accuracy of phase shift measurement higher than 0.007 radians.
    • Obtained highly accurate phase reconstructions for polystyrene microspheres and human vascular endothelial cells.

    Conclusions:

    • The proposed differential phase measurement method significantly enhances the precision and reliability of DIC microscopy.
    • This method provides a robust platform for quantitative phase imaging and analysis.
    • The technique is validated by both simulation and experimental results on biological and non-biological samples.