Numerical control matrix rotation for the LINC-NIRVANA Multi-Conjugate Adaptive Optics system
Carmelo Arcidiacono, Thomas Bertram, Roberto Ragazzoni, Jacopo, Farinato, Simone Esposito, Armando Riccardi, Enrico Pinna, Alfio Puglisi,, Luca Fini, Marco Xompero, Lorenzo Busoni, Fernando Quiros-Pacheco, Runa, Briguglio

TL;DR
This paper addresses real-time numerical control matrix adjustments for pupil rotation in the LINC-NIRVANA adaptive optics system, aiming to maintain high correction accuracy amid field rotation effects.
Contribution
It introduces a method for real-time computation of control matrix adjustments to counter pupil rotation effects in multi-conjugate adaptive optics systems.
Findings
Quantifies wave-front errors caused by pupil rotation.
Analyzes temporal and computational requirements for real-time adjustments.
Abstract
LINC-NIRVANA will realize the interferometric imaging focal station of the Large Binocular Telescope. A double Layer Oriented multi-conjugate adaptive optics system assists the two arms of the interferometer, supplying high order wave-front correction. In order to counterbalance the field rotation, mechanical derotation for the two ground wave-front sensors, and optical derotators for the mid-high layers sensors fix the positions of the focal planes with respect to the pyramids aboard the wave-front sensors. The derotation introduces pupil images rotation on the wavefront sensors: the projection of the deformable mirrors on the sensor consequently change. The proper adjustment of the control matrix will be applied in real-time through numerical computation of the new matrix. In this paper we investigate the temporal and computational aspects related to the pupils rotation, explicitly…
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