OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 28, Iss. 8 — Aug. 1, 2011
  • pp: 1566–1577

Bulk wind estimation and prediction for adaptive optics control systems

Luke C. Johnson, Donald T. Gavel, and Donald M. Wiberg  »View Author Affiliations


JOSA A, Vol. 28, Issue 8, pp. 1566-1577 (2011)
http://dx.doi.org/10.1364/JOSAA.28.001566


View Full Text Article

Enhanced HTML    Acrobat PDF (1092 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a wind-predictive controller for astronomical adaptive optics (AO) systems that is able to predict the motion of a single windblown layer in the presence of other, more slowly varying phase aberrations. This controller relies on fast, gradient-based optical flow estimation to identify the velocity of the translating layer and a recursive mean estimator to account for turbulence that varies on a time scale much slower than the operating speed of the AO loop. We derive the Cramer–Rao lower bound for the wind estimation problem and show that the proposed estimator is very close to achieving theoretical minimum-variance performance. We also present simulations using on-sky data that show significant Strehl increases from using this controller in realistic atmospheric conditions.

© 2011 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(110.0115) Imaging systems : Imaging through turbulent media
(110.1080) Imaging systems : Active or adaptive optics

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: November 3, 2010
Revised Manuscript: March 28, 2011
Manuscript Accepted: May 22, 2011
Published: July 8, 2011

Citation
Luke C. Johnson, Donald T. Gavel, and Donald M. Wiberg, "Bulk wind estimation and prediction for adaptive optics control systems," J. Opt. Soc. Am. A 28, 1566-1577 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-8-1566


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. B. A. Macintosh, J. R. Graham, D. W. Palmer, R. Doyon, J. Dunn, D. T. Gavel, J. Larkin, B. Oppenheimer, L. Saddlemyer, A. Sivaramakrishnan, J. K. Wallace, B. Bauman, D. A. Erickson, C. Marois, L. A. Poyneer, and R. Soummer, “The Gemini Planet Imager: from science to design to construction,” Proc. SPIE 7015, 701518 (2008). [CrossRef]
  2. J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, and F. Wildi, “SPHERE: a planet finder instrument for the VLT,” Proc. SPIE 7014, 701418 (2008). [CrossRef]
  3. D. Wiberg, C. Max, and D. Gavel, “A spatial non-dynamic LQG controller: part 1, application to adaptive optics,” in 43rd IEEE Conference on Decision and Control, (IEEE, 2004), Vol.  3, pp. 3326–3332.
  4. D. Wiberg, C. Max, and D. Gavel, “A spatial non-dynamic LQG controller: part 2, theory,” in 43rd IEEE Conference on Decision and Control, Vol.  3 (IEEE, 2004), pp. 3333–3338.
  5. D. T. Gavel and D. M. Wiberg, “Toward Strehl-optimizing adaptive optics controllers,” Proc. SPIE 4839, 890–901 (2003). [CrossRef]
  6. D. M. Wiberg, L. C. Johnson, and D. T. Gavel, “Adaptive optics control of wind blown turbulence via translation and prediction,” Proc. SPIE 6272, 62722X (2006). [CrossRef]
  7. K. Hinnen, M. Verhaegen, and N. Doelman, “Exploiting the spatiotemporal correlation in adaptive optics using data-driven H2-optimal control,” J. Opt. Soc. Am. A 24, 1714–1725 (2007). [CrossRef]
  8. D. P. Looze, “Linear-quadratic-Gaussian control for adaptive optics systems using a hybrid model,” J. Opt. Soc. Am. A 26, 1–9 (2009). [CrossRef]
  9. C. Petit, J. Conan, C. Kulcsár, and H. Raynaud, “Linear quadratic Gaussian control for adaptive optics and multiconjugate adaptive optics: experimental and numerical analysis,” J. Opt. Soc. Am. A 26, 1307–1325 (2009). [CrossRef]
  10. R. Fraanje, J. Rice, M. Verhaegen, and N. Doelman, “Fast reconstruction and prediction of frozen flow turbulence based on structured Kalman filtering,” J. Opt. Soc. Am. A 27, A235–A245 (2010). [CrossRef]
  11. L. A. Poyneer and J.-P. Véran, “Predictive wavefront control for adaptive optics with arbitrary control loop delays,” J. Opt. Soc. Am. A 25, 1486–1496 (2008). [CrossRef]
  12. M. Schöck and E. J. Spillar, “Method for a quantitative investigation of the frozen flow hypothesis,” J. Opt. Soc. Am. A 17, 1650–1658 (2000). [CrossRef]
  13. D. T. Gavel, “Suppressing anomalous localized waffle behavior in least squares wavefront reconstructors,” Proc. SPIE 4839, 972–980 (2003). [CrossRef]
  14. C. Li and X. Wang, “On convergence of the Gauss–Newton method for convex composite optimization,” Math. Program. 91, 349–356 (2002). [CrossRef]
  15. J. R. Bergen, P. Anandan, K. J. Hanna, and R. Hingorani, “Hierarchical model-based motion estimation,” in ECCV ’92: Proceedings of the Second European Conference on Computer Vision (Springer-Verlag, 1992), pp. 237–252.
  16. P. Lindström and P.-A. Wedin, “A new linesearch algorithm for nonlinear least squares problems,” Math. Program. 29, 268–296 (1984). [CrossRef]
  17. L. C. Johnson, “Wind estimation and prediction for control of adaptive optics systems,” Ph.D. thesis (University of California, Santa Cruz, 2010).
  18. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory (Prentice-Hall, 1993).
  19. L. A. Poyneer and B. A. Macintosh, “Spatially filtered wave-front sensor for high-order adaptive optics,” J. Opt. Soc. Am. A 21, 810–819 (2004). [CrossRef]
  20. D. Robinson and P. Milanfar, “Fundamental performance limits in image registration,” IEEE Trans. Image Process. 13, 1185–1199 (2004). [CrossRef] [PubMed]
  21. Å. Björck, Numerical Methods for Least Squares Problems (SIAM, 1996). [CrossRef]
  22. L. A. Poyneer, M. van Dam, and J.-P. Véran, “Experimental verification of the frozen flow atmospheric turbulence assumption with use of astronomical adaptive optics telemetry,” J. Opt. Soc. Am. A 26, 833–846 (2009). [CrossRef]
  23. K. Morzinski, D. T. Gavel, B. J. Grigsby, L. C. Johnson, D. Dillon, M. R. Reinig, B. A. Macintosh, and C. E. Max, “Performance of MEMS-based visible-light adaptive optics at Lick Observatory: closed- and open-loop control,” Proc. SPIE 7736, 77361O(2010). [CrossRef]
  24. G. A. Tyler and D. L. Fried, “Image-position error associated with a quadrant detector,” J. Opt. Soc. Am. 72, 804–808(1982). [CrossRef]
  25. D. P. Greenwood, “Bandwidth specification for adaptive optics systems,” J. Opt. Soc. Am. 67, 390–393 (1977). [CrossRef]
  26. D. L. Fried, “Time-delay-induced mean-square error in adaptive optics,” J. Opt. Soc. Am. A 7, 1224–1225 (1990). [CrossRef]
  27. L. C. Johnson, D. T. Gavel, and D. M. Wiberg, “Online wind estimation and prediction for a two-layer frozen-flow atmosphere,” Proc. SPIE 7736, 77362R (2010). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited