title: Discrete-time model of an adaptive optics systems.
abstract: The standard adaptive optics system can be viewed as a sampled-data feedback system with a continuous-time disturbance (the incident wavefront from the observed object) and discrete-time measurement noise. A common measure of the performance of adaptive optics systems is the time average of the pupil variance of the residual wavefront. This performance can be related to that of a discrete-time system obtained by lifting the incident and residual wavefronts. The corresponding discrete-time model is derived, and the computation of the adaptive optics system residual variance is based on that model. The predicted variance of a single mode of an adaptive optics system is shown to be the same as that obtained via simulation (as expected). The discrete-time prediction is also shown to be superior to a continuous-time approximation of the adaptive optics system.
authors.affiliation: Department of Electrical and Computer Engineering, University of Massachusetts, Amherst, MA 01002, USA. looze@ecs.umass.edu
authors.forename: Douglas P
authors.initials: DP
authors.lastname: Looze