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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 41, Iss. 12 — Apr. 20, 2002
  • pp: 2213–2218

Convergence rates for iterative vector space projection methods for control of two deformable mirrors for compensation of both amplitude and phase fluctuations

Jeffrey D. Barchers  »View Author Affiliations


Applied Optics, Vol. 41, Issue 12, pp. 2213-2218 (2002)
http://dx.doi.org/10.1364/AO.41.002213


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Abstract

The control of two deformable mirrors for compensation of time-varying fluctuations in the complex field that results from wave propagation through a turbulent medium is considered. Iterative vector space projection methods are utilized to determine the control commands to be applied to the two deformable mirrors. Convergence of the iterative algorithm is accelerated when the algorithm is initialized, at each measurement period, with the values for the phase commands obtained from the previous measurement period. Furthermore, it is found that, if the sample frequency is sufficiently greater than the Greenwood frequency, then only a single iterative step at each measurement period is required to obtain good compensation of both amplitude and phase fluctuations.

© 2002 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence

History
Original Manuscript: October 31, 2001
Revised Manuscript: January 14, 2002
Published: April 20, 2002

Citation
Jeffrey D. Barchers, "Convergence rates for iterative vector space projection methods for control of two deformable mirrors for compensation of both amplitude and phase fluctuations," Appl. Opt. 41, 2213-2218 (2002)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-12-2213

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