OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 21 — Jul. 20, 1998
  • pp: 4623–4633

Optimization of a predictive controller for closed-loop adaptive optics

Caroline Dessenne, Pierre-Yves Madec, and Gérard Rousset  »View Author Affiliations


Applied Optics, Vol. 37, Issue 21, pp. 4623-4633 (1998)
http://dx.doi.org/10.1364/AO.37.004623


View Full Text Article

Enhanced HTML    Acrobat PDF (353 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

For closed-loop adaptive optics systems limited by time delay and measurement noise, we demonstrate that the ideal rejection transfer function is proportional to the frequency signal-to-noise ratio of the wave-front input. We describe a new modal linear predictive controller that approaches this ideal transfer function. Its parameters are optimized by minimization of the residual wave-front error with a modified recursive least-squares algorithm. The optimization can be performed with closed-loop data in the case of evolving turbulent conditions. We present numerical simulations to show the significant improvements brought by the predictor.

© 1998 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(070.6020) Fourier optics and signal processing : Continuous optical signal processing

History
Original Manuscript: July 22, 1997
Revised Manuscript: October 27, 1997
Published: July 20, 1998

Citation
Caroline Dessenne, Pierre-Yves Madec, and Gérard Rousset, "Optimization of a predictive controller for closed-loop adaptive optics," Appl. Opt. 37, 4623-4633 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-21-4623


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. G. Rousset, J.-C. Fontanella, P. Kern, P. Gigan, F. Rigaut, P. Léna, C. Boyer, P. Jagourel, J. P. Gaffard, F. Merkle, “First diffraction-limited astronomical images with adaptive optics,” Astron. Astrophys. 230, 29–32 (1990).
  2. O. Lai, J.-P. Véran, F. Rigaut, D. Rouan, P. Gigan, F. Lacombe, P. Léna, R. Arsenault, D. Salmon, J. Thomas, D. Crampton, J. Fletcher, J. Stilburn, C. Boyer, P. Jagourel, “CFHT adaptive optics: first results at the telescope,” in Optical Telescopes of Today and Tomorrow, A. L. Ardeberg, ed., Proc. SPIE2871, 859–870 (1996). [CrossRef]
  3. E. Gendron, P. Léna, “Astronomical adaptive optics I. Modal control optimization,” Astron. Astrophys. 291, 337–347 (1994).
  4. B. L. Ellerbroek, C. Van Loan, N. P. Pitsianis, R. J. Plemmons, “Optimizing closed-loop adaptive optics performance using multiple control bandwidths,” J. Opt. Soc. Am. A 11, 2871–2886 (1994). [CrossRef]
  5. C. Schwartz, G. Baum, E. N. Ribak, “Turbulence-degraded wave fronts as fractal surfaces,” J. Opt. Soc. Am. A 11, 444–451 (1994). [CrossRef]
  6. G. J. M. Aitken, D. McGaughey, “Predictability of atmospherically-distorted stellar wavefronts,” in Proceedings of Topical Meeting on Adaptive Optics, M. Cullum, ed. (European Southern Observatory, Garching, Germany, 1995), Vol. 54, pp. 89–94.
  7. V. Zuev, V. Lukin, “Dynamic characteristics of optical adaptive systems,” Appl. Opt. 26, 139–144 (1987). [CrossRef] [PubMed]
  8. M. B. Jorgenson, G. J. M. Aitken, “Prediction of atmospherically induced wave-front degradations,” Opt. Lett. 17, 466–468 (1992). [CrossRef] [PubMed]
  9. D. Bonaccini, D. Gallieni, R. Giampieretti, “Prediction of star wander path for adaptive optics,” in Proceedings of Topical Meeting on Adaptive Optics, M. Cullum, ed. (European Southern Observatory, Garching, Germany, 1995), Vol. 54, pp. 103–108.
  10. M. Lloyd-Hart, P. McGuire, “Spatio-temporal prediction for adaptive optics wavefront reconstructors,” in Proceedings of Topical Meeting on Adaptive Optics, M. Cullum, ed. (European Southern Observatory, Garching, Germany, 1995), Vol. 54, pp. 95–101.
  11. D. A. Montera, B. M. Welsh, M. C. Roggemann, D. W. Ruck, “Prediction of wave-front sensor slope measurements with artificial neural networks,” Appl. Opt. 36, 675–681 (1997). [CrossRef] [PubMed]
  12. R. N. Paschall, D. J. Anderson, “Linear quadratic Gaussian control of a deformable mirror adaptive optics system with time-delayed measurements,” Appl. Opt. 32, 6347–6358 (1993). [CrossRef] [PubMed]
  13. W. J. Wild, “Predictive optimal estimators for adaptive-optics systems,” Opt. Lett. 21, 1433–1435 (1996). [CrossRef] [PubMed]
  14. M. Demerlé, P.-Y. Madec, G. Rousset, “Servo-loop analysis for adaptive optics astronomy,” in Adaptive Optics for Astronomy, D. M. Alloin, J.-M. Mariotti, eds., NATO ASI Series C423 (Kluwer, Dordrecht, The Netherlands, 1994), pp. 73–88. [CrossRef]
  15. G. F. Franklin, J. D. Powell, M. L. Workman, Digital Control of Dynamic Systems, 2nd ed. (Addison-Wesley, Reading, Mass., 1990).
  16. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1993), Chap. 9, pp. 460–468.
  17. F. Roddier, Institute for Astronomy, University of Hawaii, Honolulu, Haw. 96822 (personal communication, 1990).
  18. J. Makhoul, “Linear prediction,” Proc. IEEE 63, 561–581 (1975). [CrossRef]
  19. A. Papoulis, Signal Analysis (McGraw-Hill, New York, 1984), Chap. 11, pp. 337–350.
  20. W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes in C (Cambridge U. Press, Cambridge, 1988), Chap. 10, pp. 305–352.
  21. G. Rousset, P.-Y. Madec, D. Rabaud, “Adaptive optics partial correction simulations for two telescope interferometry,” in Proceedings of the Conference on High-Resolution Imaging by Interferometry, J. M. Beckers, F. Merkle, eds. (European Southern Observatory, Garching, Germany, 1991), pp. 1095–1104.
  22. R. E. Hufnagel, “Propagation through atmospheric turbulence,” in The Infrared Handbook (Infrared Information Analysis Center, Washington, D.C., 1989), Chap. 6, pp. 6.1–6.56.
  23. M. G. Miller, P. L. Zieske, D. Hanson, “Characterization of atmospheric turbulence,” in Imaging through the Atmosphere, J. C. Wyant, ed., Proc. SPIE75, 30–38 (1976). [CrossRef]
  24. J.-M. Conan, G. Rousset, P.-Y. Madec, “Wave-front temporal spectra in high-resolution imaging through turbulence,” J. Opt. Soc. Am. A 12, 1559–1570 (1995). [CrossRef]
  25. P.-Y. Madec, D. Rabaud, B. Fleury, J.-M. Conan, L. Rousset-Rouvière, F. Mendez, J. Montri, V. Michau, G. Rousset, M. Séchaud, “Essais du banc d’optique adaptative ONERA à l’Observatoire de Haute Provence,” Lett. Observat. Haute Provence 16, 2–8 (1997).
  26. C. Dessenne, P.-Y. Madec, G. Rousset, “Modal prediction for closed-loop adaptive optics,” Opt. Lett. 22, 1535–1537 (1997). [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