MODELADO Y CONTROL DE SISTEMA DE ÓPTICA ADAPTATIVA SUJETO A VIBRACIONES

Abstract

The Adaptive Optics technology, implemented in dierent optical applications, is anelementary component in modern ground-based astronomical systems. It provides correctionof aberrations induced by atmospheric turbulence on the beam of light from a celestial body.Thus, it is possible to improve the resolution of scienti c images.The object of study of this Thesis is the MagAO system (6.5m Magellan Telescope AdaptiveOptics), implemented on the Clay Telescope, located at Las Campanas Observatory.Unfortunately, the data obtained by adaptive optics systems, such as MagAO, is altered notonly by atmospheric turbulence, but also by inherent vibrations of the system and additionalvibrations caused by instrumentation elements.Currently, the inuence of vibrations in the images obtained by MagAO is small and isusually neglected. However, in future astronomical projects, it is essential to identify thesevibrations, its nature, magnitude, and mitigation.In this Thesis, power spectral densities are obtained from data captured during astronomicalobservation sessions, to learn how the MagAO system is aected by vibrations. Thisanalysis allows to identify and measure the inuence of the system instruments operatingin MagAO.Based on the spectral analysis of captured data, mathematical models are obtained, todescribe the system and its vibrations. For this process, a standard AO loop is used, takinginto account perturbations induced by turbulence and vibrations, to obtain a linear modelfor MagAO.Finally, the model obtained allows us to propose improvements for the AO loop, throughthe design of control alternatives. The system performance for these controllers is analysedthrough simulations.