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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Steven A. Burns
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2850–2863

Discrete-time model of an adaptive optics system

Douglas P. Looze  »View Author Affiliations


JOSA A, Vol. 24, Issue 9, pp. 2850-2863 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002850


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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.

© 2007 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(350.1260) Other areas of optics : Astronomical optics

ToC Category:
Atmospheric and oceanic optics

History
Original Manuscript: January 10, 2007
Manuscript Accepted: April 13, 2007
Published: August 14, 2007

Citation
Douglas P. Looze, "Discrete-time model of an adaptive optics system," J. Opt. Soc. Am. A 24, 2850-2863 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-9-2850

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