Preconditioned conjugate gradient wave-front reconstructors for multiconjugate adaptive optics

Applied Optics

Volumn 42, Issue 26, 2003, Pages 5233-5250

  Gilles, Luc ^a   Ellerbroek, Brent L ^b   Vogel, Curtis R ^c  

^a Michigan Technological University   (United States)

^b GEMINI OBSERVATORY   (United States)

^c MONTANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; COST EFFECTIVENESS; GRADIENT METHODS; OPTICAL TELESCOPES; WAVEFRONTS;

RECONSTRUCTION MATRIX;

ADAPTIVE OPTICS;

EID: 0141535023     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.42.005233     Document Type: Article

References (32)

1. M. C. Roggemann and B. Welsh, Imaging through Turbulence (CRC Press, Boca Raton, Fla., 1996).
2. J. W. Hardy, Adaptive Optics for Astronomical Telescopes (Oxford University, Cambridge, UK, 1998).
3. F. J. Roddier, Adaptive Optics for Astronomy (Cambridge University, Cambridge, UK, 1999).
4. D. L. Fried, “Anisoplanatism in adaptive optics,” J. Opt. Soc. Am. 72, 52-61 (1982).
5. 0: the effective diameter of a laser-guide-star adaptive-optics system,” J. Opt. Soc. Am. A 11, 325-338 (1994).
6. J. M. Beckers, “Increasing the size ofthe isoplanatic patch with multiconjugate adaptive optics,” in Proceedings of the European Southern Observatory Conference and Workshop on Very Large Telescopes and their Instrumentation, M. H. Ulrich, ed., 30, 693-703 (1998).
7. R. Ragazzoni, J. Farinato, and E. Marchetti, “Adaptive optics for 100-m-class telescopes: new challenges require new solutions,” in Adaptive Optical Systems Technology, P. L. Wizinov-ich, ed., Proc. SPIE 4007, 1076-1087 (2000).
8. R. Ragazzoni, E. Diolaiti, J. Farinato, E. Fedrigo, E. Marchetti, M. Tordi, and D. Kirkman, “Multiple field of view layer-oriented adaptive optics,” Astron. Astrophys. 396, 731-744 (2002).
9. M. Tordi, R. Ragazzoni, and E. Diolaiti, “Simulation of a Layer Oriented MCAO system,” in Beyond Conventional Adaptive Optics, Proceeding ESO (2001), http://lenin.pd.astro.it/venice2001/proceedings/.
10. A. A. Tokovinin, “Maximum separation between guide stars in atmospheric tomography,” in Beyond Conventional Adaptive Optics, Proceeding ESO (2001), http://lenin.pd.astro.it/venice2001/proceedings/.
11. 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).
12. B. L. Ellerbroek and F. J. Rigaut, “Scaling multiconjugate adaptive optics performance estimates to extremely large telescopes,” in Adaptive Optical Systems Technology, P. L. Wiz-inowich, ed., Proc. SPIE 4007, 1088-1099 (2000).
13. 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. Poggemann and L. R. Bissonnette, eds., Proc. SPIE 3763, 125-133 (1999).
14. 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).
15. D. C. Johnston and B. M. Welsh, “Analysis of multiconjugate adaptive optics,” J. Opt. Soc. Am. A 11, 394-408 (1994).
16. R. Flicker, B. L. Ellerbroek, and F. J. Rigaut, “Comparison of multiconjugate adaptive optics configurations and control algorithms for the Gemini-South 8m telescope,” in Propagation and Imaging through the Atmosphere III, M. C. Poggemann and L. R. Bissonnette, eds., Proc. SPIE 4007, 1032-1043 (2000).
17. B. L. Ellerbroek, “A wave optics propagation code for multiconjugate adaptive optics,” in Proceedings of Beyond Conventional Adaptive Optics (European Southern Observatory, Venice, Italy, 2001), pp. 7-10.
18. B. L. Ellerbroek, “Efficient computation of minimum variance wave-front reconstructors using sparse matrix techniques,” J. Opt. Soc. Am. A 19, 1803-1816 (2002).
19. L. Gilles, C. R. Vogel, and B. L. Ellerbroek, “A multigrid preconditioned conjugate gradient method for large scale wave front reconstruction,” J. Opt. Soc. Am. A 19,1817-1822 (2002).
20. L. Gilles, “Order N sparse minimum-variance open-loop reconstructor for extreme adaptive optics,” Opt. Lett. (to be published).
21. L. A. Poyneer, D. T. Gavel, and J. M. Brase, “Fast wave-front reconstruction in large adaptive optics systems using the Fourier transform,” J. Opt. Soc. Am. A 19, 2100-2111 (2002).
22. L. A. Poyneer, M. Troy, B. Macintosh, and D. T. Gavel, “Experimental validation of Fourier-transform wave-front reconstruction at the Palomar Observatory,” Opt. Lett. 28, 798-800 (2003).
23. B. L. Ellerbroek, L. Gilles, and C. R. Vogel, “Computationally efficient wavefront reconstructor for simulation of multiconjugate adaptive optics on Giant Telescopes,” in Adaptive Optics System Technologies II, P. L. Wizinowich and D. Bonaccini, eds., Proc. SPIE 4839, 989-1000 (2002).
24. L. Gilles, B. L. Ellerbroek, and C. R. Vogel, “Layer-oriented multigrid wavefront reconstruction algorithms for multiconjugate adaptive optics,” in Adaptive Optical System Technologies II, P. L. Wizinowich and D. Bonnaccini, eds., Proc. SPIE 4839, 125-133 (2002).
25. E. James, C. Boyer, R. C. Buchroeder, B. L. Ellerbroek, and M. R. Hunten, “Design considerations of the AO module for the Gemini South multiconjugate adaptive optics system,” in Adaptive Optical Systems Technologies II, P. L. Wizinowich and D. Bonaccini, eds., Proc. SPIE 4839, 67-80 (2003).
26. J. Vernin, A. Agabi, R. Avila, M. Azouit, R. Conan, F. Martin, E. Masciadri, L. Sanchez, and A. Ziad, “1998 Gemini site testing campaign: Cerro Pachon and Cerro Tololo,” Gemini report rpt-ao-g0094 (Gemini Observatory, Hilo, Hawaii, 2000), http://www.gemini.edu/sciops/instruments/adaptiveOptics/AOarchive.html.
27. O. Axelsson and V. A. Barker, Finite Element Solution of Boundary Value Problems: Theory and Computation, (SIAM, Philadelphia, Pa., 2001).
28. D. L. Fried, “Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements,” J. Opt. Soc. Am. A 67, 370-375 (1977).
29. R. Hudgin, “Wave-front compensation error due to finite corrector-element size,” J. Opt. Soc. Am. A 67, 393-395 (1977).
30. Y. Saad, Iterative Methods for Sparse Linear Systems, 2nd ed. (PWS-Kent, Boston, Mass., 2003).
31. U. Trottenberg, C. W. Oosterlee, and A. Schuller, Multigrid, (Academic, San Diego, Calif., 2001).
32. E. M. Johansson and D. T. Gavel, “Simulation of stellar speckle imaging,” in Amplitude and Intensity Spatial Interferometry II, J. B. Breckinridge, ed., Proc. SPIE 2200, 372-383 (1994).