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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 27, Iss. 11 — Nov. 1, 2010
  • pp: A145–A156

Closed-loop control of a woofer–tweeter adaptive optics system using wavelet-based phase reconstruction

Peter J. Hampton, Pan Agathoklis, Rodolphe Conan, and Colin Bradley  »View Author Affiliations

JOSA A, Vol. 27, Issue 11, pp. A145-A156 (2010)

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A novel closed-loop control technique for adaptive optics (AO) systems based on a wavelet-based phase reconstruction technique and a woofer–tweeter controller is presented. The wavelet-based reconstruction technique is based on obtaining a Haar decomposition of the phase screen directly from gradient measurements and has been extended here with the use of a Poisson solver to improve performance. This method is O ( N ) (i.e., a linear computation cost as number of actuators increases) and is the fastest of the known O ( N ) reconstruction techniques. The controller configuration is based on the woofer–tweeter controller to control low- and high-spatial-frequency aberrations, respectively. The separation of the woofer and tweeter signals is done using a computationally efficient method that is based on the availability of a low-spatial-resolution reconstruction during the wavelet synthesis process. The performance of the proposed technique is evaluated using a simulated AO system and phase screens generated to reflect atmospheric turbulence with various dynamic characteristics. Results indicate that the combination of the wavelet-based phase reconstruction and woofer–tweeter controller leads to very good results with respect to speed and accuracy.

© 2010 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(100.0100) Image processing : Image processing
(100.7410) Image processing : Wavelets

Original Manuscript: December 2, 2009
Revised Manuscript: August 11, 2010
Manuscript Accepted: August 11, 2010
Published: September 20, 2010

Peter J. Hampton, Pan Agathoklis, Rodolphe Conan, and Colin Bradley, "Closed-loop control of a woofer–tweeter adaptive optics system using wavelet-based phase reconstruction," J. Opt. Soc. Am. A 27, A145-A156 (2010)

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