Infinite impulse response modal filtering in visible adaptive optics
G. Agapito, C. Arcidiacono, F. Quir\'os-Pacheco, A. Puglisi, S., Esposito

TL;DR
This paper explores the use of infinite impulse response filters for optimizing wavefront correction in visible adaptive optics, demonstrating robustness against disturbances and calibration errors through numerical simulations.
Contribution
It introduces and tests IIR filters for AO correction, showing their effectiveness and robustness in realistic simulation conditions.
Findings
IIR filters improve wavefront correction performance.
The algorithms are robust against disturbances and calibration errors.
Numerical simulations validate the method's practicality.
Abstract
Diffraction limited resolution adaptive optics (AO) correction in visible wavelengths requires a high performance control. In this paper we investigate infinite impulse response filters that optimize the wavefront correction: we tested these algorithms through full numerical simulations of a single-conjugate AO system comprising an adaptive secondary mirror with 1127 actuators and a pyramid wavefront sensor (WFS). The actual practicability of the algorithms depends on both robustness and knowledge of the real system: errors in the system model may even worsen the performance. In particular we checked the robustness of the algorithms in different conditions, proving that the proposed method can reject both disturbance and calibration errors.
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