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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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    Hidden-phase compensation significantly improves laser system performance, especially under strong scintillation. Full-phase compensation outperforms least-squares methods when dealing with turbulence-induced phase issues and extended-beacon adaptive optics.

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    Area of Science:

    • Wave optics simulations
    • Laser systems engineering
    • Adaptive optics

    Background:

    • Extended-beacon adaptive optics are crucial for laser systems.
    • Scintillation and speckle degrade laser system performance.
    • Hidden-phase compensation is a potential method to mitigate these effects.

    Purpose of the Study:

    • To explore the benefits of hidden-phase compensation for laser systems using extended-beacon adaptive optics.
    • To analyze laser system performance under varying scintillation strengths and beacon sizes.
    • To compare no compensation, least-squares compensation, and full-phase compensation.

    Main Methods:

    • Wave-optics simulations were employed.
    • A trade space was created by varying scintillation strength and beacon size.
    • Laser system performance was scored for different compensation methods.

    Main Results:

    • Under weak scintillation with small beacons, least-squares and full-phase compensation showed similar improvements.
    • Under strong scintillation with small beacons, full-phase compensation significantly outperformed least-squares.
    • Strong scintillation created branch points and cuts, reducing performance if uncompensated.
    • Large extended beacons corrupted compensation methods, leading to performance similar to no compensation.

    Conclusions:

    • Full-phase compensation is superior to least-squares compensation under strong scintillation.
    • Uncompensated branch points and cuts severely degrade performance.
    • Large extended beacons with rough-surface scattering and speckle negatively impact compensation effectiveness.
    • Findings will guide the development of future laser systems for extended-beacon adaptive optics.