Abstract

Understanding limitations of adaptive optics (AO) systems is crucial when designing new systems. In particular, analyzing the potential of different controllers is of great interest for the upcoming AO systems of the very large telescopes (VLTs) and extremely large telescopes (ELTs). This paper thus details a complete error budget assessment formalism, based on analytic formulas involving the disturbance temporal power spectral density (PSD) and the controller transfer function, and is applicable to any linear controller. This formalism is presented here for the special case of classical AO systems, but can be extended to any closed- or open-loop, single- or multi-conjugated AO configuration. Special attention is paid to the “control-dependent” errors, the importance of which is directly related to the type of control used in the AO system. The proposed method is applied to a NAOS/VLT-type single conjugated AO system, using disturbance PSD derived from a simulated turbulence trajectory or estimated from wavefront sensor measurements, enabling the construction of detailed error budgets for an integrator and different linear quadratic Gaussian controllers. Application to ELT-sized systems is discussed in the conclusion.

© 2018 Optical Society of America

Zonal-based high-performance control in adaptive optics systems with application to astronomy and satellite tracking

Lèonard Prengère, Caroline Kulcsár, and Henri-François Raynaud
J. Opt. Soc. Am. A 37(7) 1083-1099 (2020)

On the optimal reconstruction and control of adaptive optical systems with mirror dynamics

Carlos Correia, Henri-François Raynaud, Caroline Kulcsár, and Jean-Marc Conan
J. Opt. Soc. Am. A 27(2) 333-349 (2010)

Wide field adaptive optics laboratory demonstration with closed-loop tomographic control

Anne Costille, Cyril Petit, Jean-Marc Conan, Caroline Kulcsár, Henri-François Raynaud, and Thierry Fusco
J. Opt. Soc. Am. A 27(3) 469-483 (2010)

Linear quadratic Gaussian control for adaptive optics and multiconjugate adaptive optics: experimental and numerical analysis

Cyril Petit, Jean-Marc Conan, Caroline Kulcsár, and Henri-François Raynaud
J. Opt. Soc. Am. A 26(6) 1307-1325 (2009)

Linear-quadratic-Gaussian control for adaptive optics systems using a hybrid model

Douglas P. Looze
J. Opt. Soc. Am. A 26(1) 1-9 (2009)