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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 3 — Mar. 1, 2006
  • pp: 603–612

Minimum variance control structure for adaptive optics systems

Douglas P. Looze  »View Author Affiliations

JOSA A, Vol. 23, Issue 3, pp. 603-612 (2006)

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The adaptive optics minimum variance control problem is formulated as a linear-quadratic-Gaussian optimization. The formulation incorporates the wavefront sensor frame integration in discrete-time models of the deformable mirror and incident wavefront. It shows that, under nearly ideal conditions, the resulting minimum variance controller approaches the integral controller commonly used in adaptive optics systems. The inputs to the controller dynamics are obtained from a reconstructor with the maximum a posteriori structure that uses the estimation error covariance of the wavefront error. The ideal conditions assumed to obtain the integral controller are as follows; isotropic first-order (but nonstationary) temporal atmospheric aberrations, no computational loop delay, and no deformable mirror dynamics. The effects of variations in these conditions are examined.

© 2006 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(350.0350) Other areas of optics : Other areas of optics
(350.1260) Other areas of optics : Astronomical optics

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: April 7, 2005
Revised Manuscript: August 2, 2005
Manuscript Accepted: September 16, 2005

Douglas P. Looze, "Minimum variance control structure for adaptive optics systems," J. Opt. Soc. Am. A 23, 603-612 (2006)

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