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Gain01:15

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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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Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
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Robust phase-shift estimation method for statistical generalized phase-shifting digital holography.

Nobukazu Yoshikawa, Takaaki Shiratori, Kazuki Kajihara

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    This study introduces a robust method for estimating phase shifts in statistical generalized phase-shifting digital holography. The technique ensures accurate signed phase-shift values, validated by simulations and experiments.

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    Area of Science:

    • Optics and Photonics
    • Digital Holography
    • Image Processing

    Background:

    • Statistical generalized phase-shifting digital holography (GPSDH) is crucial for quantitative phase imaging.
    • Accurate phase-shift estimation is vital for reconstructing high-fidelity holograms.
    • Existing methods may struggle with phase randomness in Fresnel diffraction fields.

    Purpose of the Study:

    • To propose a robust phase-shift estimation method for GPSDH.
    • To establish phase randomness using an oblique reference wave.
    • To enable signed phase-shift estimation irrespective of object Fresnel diffraction properties.

    Main Methods:

    • Utilizing a slightly off-axis optical configuration.
    • Employing a linear phase factor from an oblique incident reference wave.
    • Applying a statistical approach for signed phase-shift value estimation.

    Main Results:

    • Demonstrated robust phase-shift estimation in GPSDH.
    • Successfully established phase randomness in the Fresnel diffraction field.
    • Achieved accurate signed phase-shift estimation regardless of object field properties.
    • Validated the method through computer simulations and optical experiments.

    Conclusions:

    • The proposed method offers a reliable solution for phase-shift estimation in GPSDH.
    • The technique enhances the accuracy and robustness of holographic reconstructions.
    • It provides a versatile approach applicable to various object characteristics.