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    A new slope-based decoupling algorithm enables simultaneous control of multiple deformable mirrors (DMs) in adaptive optics (AO) systems. This method effectively suppresses cross-coupling, enhancing AO system stability and performance with dual DMs.

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    Area of Science:

    • Optics
    • Control Systems Engineering

    Background:

    • Adaptive optics (AO) systems utilize multiple deformable mirrors (DMs) to enhance aberration compensation.
    • Maintaining AO system stability requires suppressing correlations between multiple DMs during correction.

    Purpose of the Study:

    • To propose and validate a slope-based decoupling algorithm for simultaneous control of multiple DMs.
    • To demonstrate the algorithm's ability to suppress cross-coupling in a woofer-tweeter (W-T) AO system.

    Main Methods:

    • Development of a slope-based decoupling algorithm for multi-DM control.
    • Simulation of a theoretical model for a woofer-tweeter (W-T) AO system.
    • Experimental validation using a W-T AO system setup.

    Main Results:

    • Theoretical simulations confirmed the algorithm's capability to selectively correct different spatial frequencies.
    • The algorithm effectively suppressed cross-coupling between the woofer and tweeter DMs.
    • Experimental results were consistent with simulations, proving practical applicability.

    Conclusions:

    • The proposed slope-based decoupling algorithm is effective for simultaneous multi-DM control in AO systems.
    • This algorithm enhances AO system stability by suppressing cross-coupling between DMs.
    • The algorithm is practical for AO systems employing dual deformable mirrors, such as W-T systems.