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Most simulation packages for adaptive optics require some sort of deformable mirror (DM) model. A static model based on influence functions or spatial frequencies is usually enough for frame-by-frame simulations. But advanced AO systems are pushing the technology limits, and temporal effects in each component must be taken into account and simulated. This paper presents how FEM simulations and state-space differential equations can be combined to build a fully dynamic DM model which is at the same time very accurate and computationally light. This opens the path to end-to-end dynamic AO models that can be used for example to develop or pre-train advanced controllers based on neural networks.
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Julien Charton, Stefan Ströbele, Lorenzo Pettazzi, Pierre-Yves Madec, "Modelling the mysteries of temporal effects in deformable mirrors: Fast and accurate dynamic model," Proc. SPIE 12185, Adaptive Optics Systems VIII, 121850M (3 October 2022); https://doi.org/10.1117/12.2629418