Closed-loop stability and performance analysis of least-squares and minimum-variance control algorithms for multiconjugate adaptive optics

Applied Optics

Volumn 44, Issue 6, 2005, Pages 993-1002

  Gilles, Luc ^a  

^a Michigan Technological University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; DIGITAL SIGNAL PROCESSING; GEOMETRICAL OPTICS; LEAST SQUARES APPROXIMATIONS; LIGHT PROPAGATION; MATHEMATICAL MODELS; MIRRORS; MONTE CARLO METHODS; OPTICAL TELESCOPES; ROBUSTNESS (CONTROL SYSTEMS); WAVEFRONTS;

GUIDE STAR (GS); MINIMUM-VARIANCE RECONSTRUCTORS (MVR); PSEUDO-OPEN-LOOP CONTROL (POLC); SPATIAL FILTERING;

ADAPTIVE OPTICS;

EID: 14844322158     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.44.000993     Document Type: Article

References (28)

1. J. M. Beckers, "Increasing the size of the isoplanatic patch with multiconjugate adaptive optics," in Proceedings of the ESO Conference and Workshop on Very Large Telescopes and their Instrumentation, M. H. Ulrich, ed. (European Southern Observatory, Garching, Germany, 1988), Vol. 30, pp. 693-703.
2. D. C. Johnston and B. M. Welsh, "Analysis of multiconjugate adaptive optics," J. Opt. Soc. Am. A 11, 394-408 (1994).
3. T. Fusco, J. M. Conan, G. Rousset, L. M. Mugnier, and V. Michau, "Optimal wave-front reconstruction strategies for multiconjugate adaptive optics," J. Opt. Soc. Am. A 18, 2527-2538 (2001).
4. E. Diolaiti, R. Ragazzoni, and M. Tordi, "Stability and optimality of a layer oriented MCAO system," in Proceedings of the ESO Conference and Workshop Beyond Conventional Adaptive Optics, R. Ragazzoni, N. Hubin, S. Esposito, and E. Vernet, eds., (European Southern Observatory, Garching, Germany, 2002), Vol. 58.
5. E. Diolaiti, R. Ragazzoni, and M. Tordi, "Closed loop performance of a layer-oriented multi-conjugate adaptive optics system," Astron. Astrophys. 872, 710-718 (2001).
6. F. J. Rigaut, B. L. Ellerbroek, and R. Flicker, "Principles, limitations and performance of multiconjugate adaptive optics," in Adaptive Optical Systems Technology, P. L. Wizinowich, ed., Proc. SPIE 4007, 1022-1031 (2000).
7. "The MCAO preliminary design review report," REV-AOG0172, Gemini Observatory, Hilo, Hawaii, (2001), http: //www.gemini.edu/documentation/ webdocs/rev/mcao_pdr/ mcao_pdr.html.
8. "The California extremely large telescope, conceptual design for a thirty-meter telescope," CELT Report 34 (2002), http://celt.ucolick.org/ greenbook/.
9. R. Angel, M. Lloyd-Hart, K. Hege, R. Sarlot, and C. Peng, "The 20/20 telescope: MCAO imaging at the individual and combined foci," in Proceedings of the ESO Conference and Workshop Beyond Conventional Adaptive Optics, R. Ragazzoni, N. Hubin, S. Esposito, and E. Vernet, eds. (European Southern Observatory, Garching, Germany, 2002), Vol. 58.
10. M. Lloyd-Hart and N. M. Milton, "Design and expected per formance of the 6.5 m MMT MCAO system," in Adaptive Optical System Technologies II, J. R. P. Angel and R. Gilmozzi, eds., Proc. SPIE 4839, 578-587 (2002).
11. N. M. Milton, M. Lloyd-Hart, A. Cheng, J. A. Georges, and R. Angel, "Design and expected performance of an MCAO system for the Giant Magellan Telescope," in Astronomical Adaptive Optics Systems and Applications, R. K. Tyson and M. Lloyd-Hart, eds., Proc. SPIE 5189, 238-249.
12. T. Fusco, J. M. Conan, V. Michau, L. M. Mugnier, and G. Rousset, "Phase estimation for large field of view: application to multiconjugate adaptive optics," in Propagation and Imaging through the Atmosphere III, M. C. Roggemann and L. R. Bissonnette, eds., Proc. SPIE 3763, 125-133 (1999).
13. B. L. Ellerbroek, "Scaling multi-conjugate adaptive optics performance estimates to extremely large telescopes," in Adaptive Optical Systems Technology, P. L. Wizinowich, ed., Proc. SPIE 4007, 1088-1099 (2000).
14. B. L. Ellerbroek, "Efficient computation of minimum-variance wave-front reconstructors with sparse matrix techniques," J. Opt. Soc. Am. A 19, 1803-1816 (2002).
15. B. L. Ellerbroek, L. Gilles, and C. R. Vogel, "Numerical simulations of multiconjugate adaptive optics wave-front reconstruction on giant telescopes," Appl. Opt. 42, 4811-4818 (2003).
16. L. Gilles, "Order N sparse minimum variance open-loop reconstructor for extreme adaptive optics," Opt. Lett. 28, 1927-1929 (2003).
17. L. Gilles, B. L. Ellerbroek, and C. R. Vogel, "Preconditioned conjugate gradient wave-front reconstructors for multiconjugate adaptive optics," Appl. Opt. 42, 5233-5250 (2003).
18. R. Flicker, F. J. Rigaut, and B. L. Ellerbroek, "Comparison of multiconjugate adaptive optics configurations and control algorithms for the Gemini-South 8 m telescope," in Adaptive Optical Systems Technology, P. L. Wizinowich, ed., Proc. SPIE 4007, 1032-1043 (2000).
19. B. Le Roux, J. M. Conan, C. Kulcsar, H.-F. Raynaud, L. M. Mugnier, and T. Fusco, "Optimal control law for multi-conjugate adaptive optics," in Adaptive Optical Systems Technology II, P. L. Wizinowich, ed., Proc. SPIE 4839, 878-889 (2002).
20. D. T. Gavel and W. Wiberg, "Towards strehl-optimizing adaptive optics controllers," in Adaptive Optical Systems Technology II, P. L. Wizinowich, ed., Proc. SPIE 4839, 890-901 (2002).
21. B. L. Ellerbroek, "First-order performance evaluation of adaptive optics systems for atmospheric turbulence compensation in extended-field-of-view astronomical telescopes," J. Opt. Soc. Am. A 11, 783-805 (1994).
22. B. L. Ellerbroek and G. M. Cochran, "A wave optics propagation code for multi-conjugate adaptive optics," in Adaptive Optics Systems and Technology II, R. K. Tyson, D. Bonaccini, and M. C. Roggemann, eds., Proc. SPIE 4494, 104-120 (2002).
23. B. L. Ellerbroek, "A wave optics propagation code for multi-conjugate adaptive optics," in Proceedings of the ESO Conference and Workshop Beyond Conventional Adaptive Optics, R. Ragazzoni, N. Hubin, S. Esposito, and E. Vernet, eds. (European Southern Observatory, Garching, Germany, 2002), Vol. 58.
24. B. L. Ellerbroek and C. R. Vogel, "Simulations of closed-loop wavefront reconstruction for multiconjugate adaptive optics on giant telescopes," in Astronomical Adaptive Optics Systems and Applications, R. K. Tyson and M. Lloyd-Hart, eds., Proc. SPIE 5169, 206-217 (2003).
25. B. L. Ellerbroek, "Wavefront reconstruction algorithms and simulation results for multiconjugate adaptive optics on giant telescopes," in Second Backaskog Workshop on Extremely Large Telescopes, A. L. Ardeberg and T. Andersen, eds., Proc. SPIE 5382, 478-489 (2003).
26. B. L. Ellerbroek and F. Rigaut, "Methods for correcting tilt anisoplanatism in laser guide star multiconjugate adaptive optics," J. Opt. Soc. Am. 18, 2639-2547 (2001).
27. E. P. Wallner, "Optimal wave-front correction using slope measurements," J. Opt. Soc. Am. 73, 1771-1776 (1983).
28. G. A. Hyver and R. M. Blankinship, "ALI high power beam control," in Guidance and Control, Vol. 88 of Advances in the Astronautical Sciences, R. D. Gulp and J. D. Medbery, eds., (American Astronautical Society, Springfield, Va., 1995), pp. 445-460.