Fast minimum variance wavefront reconstruction for extremely large telescopes

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 27, Issue 5, 2010, Pages 1046-1059

  Thiébaut, Eric ^a,b,c,d   Tallon, Michel ^a,b,c,d  

^a UNIVERSITÉ DE LYON   (France)

^b UNIVERSITÉ LYON 1   (France)

^c CENTRE DE RECHERCHE ASTROPHYSIQUE DE LYON   (France)

^d UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COVARIANCE MATRIX; FRACTALS; OPTICAL TELESCOPES; SENSORS; WAVEFRONTS;

CONJUGATE GRADIENT ITERATION; EXTREMELY LARGE TELESCOPES; FRACTAL APPROXIMATION; KOLMOGOROV STATISTICS; MATRIX; MINIMUM VARIANCE; OPTICAL WAVEFRONT; PHASE SAMPLES; SHACK-HARTMANN WAVEFRONT SENSORS; VECTOR-MATRIX MULTIPLICATIONS; WAVE FRONT RECONSTRUCTION; WAVE FRONT SENSORS;

CONJUGATE GRADIENT METHOD;

EID: 77955987703     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.27.001046     Document Type: Article

References (37)

1. F. Roddier, Adaptive Optics in Astronomy (Cambridge U. Press, 1999).
2. E. Gendron and P. Léna, "Astronomical adaptive optics. I. Modal control optimization", Astron. Astrophys. 291, 337-347 (1994).
3. M. Le Louarn, N. Hubin, M. Sarazin, and A. Tokovinin, "New challenges for adaptive optics: extremely large telescopes", Mon. Not. R. Astron. Soc. 317, 535-544 (2000).
4. N. Hubin, B. L. Ellerbroek, R. Arsenault, R. M. Clare, R. Dekany, L. Gilles, M. Kasper, G. Herriot, M. Le Louarn, E. Marchetti, S. Oberti, J. Stoesz, J.-P. Véran, and C. Vérinaud, "Adaptive optics for extremely large telescopes", in Scientific Requirements for Extremely Large Telescopes, Vol. 232 of IAU Symposium, P. A. Whitelock, M. Dennefeld, and B. Leibundgut, eds. (Cambridge U. Press, 2005), pp. 60-85.
5. L. A. Poyneer, D. T. Gavel, and J. M. Brase, "Fast wavefront reconstruction in large adaptive optics systems with use of the Fourier transform", J. Opt. Soc. Am. A 19, 2100-2111 (2002).
6. L. A. Poyneer, D. Dillon, S. Thomas, and B. A. Macintosh, "Laboratory demonstration of accurate and efficient nanometer-level wavefront control for extreme adaptive optics", Appl. Opt. 47, 1317-1326 (2008).
7. D. G. MacMartin, "Local, hierarchic, and iterative reconstructors for adaptive optics", J. Opt. Soc. Am. A 20, 1084-1093 (2003).
8. B. Le Roux, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, L. M. Mugnier, and T. Fusco, "Optimal control law for classical and multiconjugate adaptive optics", J. Opt. Soc. Am. A 21, 1261-1276 (2004).
9. B. L. Ellerbroek, "Efficient computation of minimumvariance wave-front reconstructors with sparse matrix techniques", J. Opt. Soc. Am. A 19, 1803-1816 (2002).
10. C. R. Vogel, "Sparse matrix methods for wavefront reconstruction revisited", Proc. SPIE 5490, 1327-1335 (2004).
11. W. H. Southwell, "Wave-front estimation from wave-front slope measurements", J. Opt. Soc. Am. 70, 998-1006 (1980).
12. J. Nocedal and S. J. Wright, Numerical Optimization, 2nd ed. (Springer Verlag, 2006).
13. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge U. Press, 1992).
14. W. J. Wild, E. J. Kibblewhite, and R. Vuilleumier, "Sparse matrix wave-front estimators for adaptive-optics systems for large ground-based telescopes", Opt. Lett. 20, 955-957 (1995).
15. R. Barrett, M. Berry, T. F. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. V. der Vorst, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods (SIAM, 1994).
16. L. Gilles, C. R. Vogel, and B. L. Ellerbroek, "Multigrid preconditioned conjugate-gradient method for large-scale wave-front reconstruction", J. Opt. Soc. Am. A 19, 1817-1822 (2002).
17. L. Gilles, "Order-N sparse minimum-variance open-loop reconstructor for extreme adaptive optics", Opt. Lett. 28, 1927-1929 (2003).
18. 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).
19. Q. Yang, C. R. Vogel, and B. L. Ellerbroek, "Fourier domain preconditioned conjugate gradient algorithm for atmospheric tomography", Appl. Opt. 45, 5281-5293 (2006).
20. C. R. Vogel and Q. Yang, "Fast optimal wavefront reconstruction for multi-conjugate adaptive optics using the Fourier domain preconditioned conjugate gradient algorithm", Opt. Express 14, 7487-7498 (2006).
21. L. Gilles, B. Ellerbroek, and C. Vogel, "A comparison of multigrid V-cycle versus Fourier domain preconditioning for laser guide star atmospheric tomography", in Signal Recovery and Synthesis, OSA Topical Meetings, B. L. Ellerbroek and J. C. Christou, eds. (Optical Society of America, 2007), paper JTuA1.
22. L. Gilles and B. L. Ellerbroek, "Split atmospheric tomography using laser and natural guide stars", J. Opt. Soc. Am. A 25, 2427-2435 (2008).
23. R. G. Lane, A. Glindemann, and J. C. Dainty, "Simulation of a Kolmogorov phase screen", Waves Random Media 2, 209-224 (1992).
24. D. L. Fried, "Least-squares fitting a wave-front distortion estimate to an array of phase-difference measurements", J. Opt. Soc. Am. 67, 370-375 (1977).
25. E. Thiébaut, "Introduction to image reconstruction and inverse problems", in NATO Science Series II., Mathematics, Physics and Chemistry, Vol. 198, R. Foy and F.-C. Foy, eds. (Springer, 2005), p. 397.
26. J. Herrmann, "Phase variance and Strehl ratio in adaptive optics", J. Opt. Soc. Am. A 9, 2257-2258 (1992).
27. A. Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation (SIAM, 2005).
28. A. Tarantola and B. Valette, "Inverse problems = quest for information for information", J. Geophys. 50, 159-170 (1982).
29. D. L. Fried, "Statistics of a geometric representation of wavefront distortion", J. Opt. Soc. Am. 55, 1427-1435 (1965).
30. G. Rousset, "Wavefront sensing", in Adaptive Optics for Astronomy, Vol. 423 of Proceedings of NATO ASI Series C, D. M. Alloin and J.-M. Mariotti, eds. (Kluwer, 1993), pp. 115-137.
31. N. Roddier, "Atmospheric wavefront simulation using zernike polynomials", Opt. Eng. (Bellingham) 29, 1174-1180 (1990).
32. J. Skilling and R. K. Bryan, "Maximum entropy image reconstruction: general algorithm", Mon. Not. R. Astron. Soc. 211, 111-124 (1984).
33. C. Béchet, M. Tallon, and E. Thiébaut, "Comparison of minimum-norm maximum likelihood and maximum a posteriori wavefront reconstructions for large adaptive optics systems", J. Opt. Soc. Am. A 26, 497-508 (2009).
34. C. Béchet, "Commande optimale rapide pour l'optique adaptative des futurs télescopes hectométriques", Ph. D. dissertation (Ecole Centrale de Lyon, 2008).
35. C. Béchet, M. Tallon, and E. Thiébaut, "FRIM: minimumvariance reconstructor with a fractal iterative method", in Advances in Adaptive Optics II, Vol. 6272 of SPIE Conference, D. B. C. B. L. Ellerbroek, ed. (2006), p. 62722U.
36. C. Béchet, M. Tallon, and E. Thiébaut, "Closed-loop AO performance with FrIM", in Adaptive Optics: Analysis and Methods, Conference of the Optical Society of America (Optical Society of America, 2007), paper JTuA4.
37. D. Munro, Yorick, http://yorick.sourceforge.net/http://yorick. sourceforge.net/.