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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 1 — Jan. 1, 2009
  • pp: 219–235

Tomographic reconstruction for wide-field adaptive optics systems: Fourier domain analysis and fundamental limitations

Benoit Neichel, Thierry Fusco, and Jean-Marc Conan  »View Author Affiliations


JOSA A, Vol. 26, Issue 1, pp. 219-235 (2009)
http://dx.doi.org/10.1364/JOSAA.26.000219


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Abstract

Several wide-field-of-view adaptive optics (WFAO) concepts such as multi-conjugate AO (MCAO), multi-object AO (MOAO), and ground-layer AO (GLAO) are currently being studied for the next generation of Extremely Large Telescopes (ELTs). All these concepts will use atmospheric tomography to reconstruct the turbulent-phase volume. In this paper, we explore different reconstruction algorithms and their fundamental limitations, conducting this analysis in the Fourier domain. This approach allows us to derive simple analytical formulations for the different configurations and brings a comprehensive view of WFAO limitations. We then investigate model and statistical errors and their effect on the phase reconstruction. Finally, we show some examples of different WFAO systems and their expected performance on a 42 m telescope case.

© 2008 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: July 29, 2008
Revised Manuscript: October 15, 2008
Manuscript Accepted: November 7, 2008
Published: December 24, 2008

Citation
Benoit Neichel, Thierry Fusco, and Jean-Marc Conan, "Tomographic reconstruction for wide-field adaptive optics systems: Fourier domain analysis and fundamental limitations," J. Opt. Soc. Am. A 26, 219-235 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-1-219


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References

  1. M. Tallon and R. Foy, “Adaptive telescope with laser probe--Isoplanatism and cone effect,” Astron. Astrophys. 235, 549-557 (1990).
  2. D. C. Johnston and B. M. Welsh, “Analysis of multiconjugate adaptive optics,” J. Opt. Soc. Am. A 11, 394-408 (1994). [CrossRef]
  3. 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). [CrossRef]
  4. 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). [CrossRef]
  5. A. Tokovinin, M. Le Louarn, E. Viard, N. Hubin, and R. Conan, “Optimized modal tomography in adaptive optics,” Astron. Astrophys. 378, 710-721 (2001). [CrossRef]
  6. T. Fusco, J.-M. Conan, V. Michau, G. Rousset, and L. Mugnier, “Isoplanatic angle and optimal guide star separation for multiconjugate adaptive optics,” Proc. SPIE 4007, 1044-1055 (2000). [CrossRef]
  7. B. Neichel, T. Fusco, J.-M. Conan, C. Petit, and G. Rousset, “PSD based simulation algorithm for Wide FoV AO design. Application to ELT studies,” Proc. SPIE 7015, 701573 (2008). [CrossRef]
  8. J.-M. Conan, B. Le Roux, D. Bello, T. Fusco, and G. Rousset, “Optimal reconstruction in multiconjugate adaptive optics,” in Beyond Conventional Adaptive Optics: ESO Conference and Workshop (European Southern Observatory, 2002), Vol. 58, pp. 209-215.
  9. A. Tokovinin and E. Viard, “Limiting precision of tomographic phase estimation,” J. Opt. Soc. Am. A 18, 873-882 (2001). [CrossRef]
  10. M. Le Louarn and M. Tallon, “Analysis of modes and behavior of a multiconjugate adaptive optics system,” J. Opt. Soc. Am. A 19, 912-925 (2002). [CrossRef]
  11. T. Fusco, J.-M. Conan, V. Michau, L. Mugnier, and G. Rousset, “Efficient phase estimation for large-field-of-view adaptive optics,” Opt. Lett. 24, 1472-1474 (1999). [CrossRef]
  12. F. Rigaut, B. Ellerbroek, and R. Flicker, “Principles, limitations, and performance of multiconjugate adaptive optics,” Proc. SPIE 4007, 1022-1031 (2000). [CrossRef]
  13. A. Tokovinin, M. Le Louarn, and M. Sarazin, “Isoplanatism in a multiconjugate adaptive optics system,” J. Opt. Soc. Am. A 17, 1819-1827 (2000). [CrossRef]
  14. F. Rigaut, J.-P. Veran, and O. Lai, “Analytical model for Shack-Hartmann-based adaptive optics systems,” Proc. SPIE 3353, 1038-1048 (1998). [CrossRef]
  15. L. Jolissaint, J.-P. Veran, and R. Conan, “Analytical modeling of adaptive optics: foundations of the phase spatial power spectrum approach,” J. Opt. Soc. Am. A 23, 382-394 (2006). [CrossRef]
  16. T. Fusco, J.-M. Conan, V. Michau, and G. Rousset, “Noise propagation for multiconjugate adaptive optics system,” Proc. SPIE 4538, 144-155 (2002). [CrossRef]
  17. D. T. Gavel, “Tomography for multiconjugate adaptive optics systems using laser guide stars,” Proc. SPIE 5490, 1356-1373 (2004). [CrossRef]
  18. B. L. Ellerbroek, “Adaptive optics without borders: performance evaluation in the infinite aperture limit,” Proc. SPIE 5490, 625-636 (2004). [CrossRef]
  19. B. L. Ellerbroek, “Linear systems modeling of adaptive optics in the spatial-frequency domain,” J. Opt. Soc. Am. A 22, 310-322 (2005). [CrossRef]
  20. C. Vérinaud, “On the nature of the measurements provided by a pyramid wave-front sensor,” Opt. Commun. 233, 27-38 (2004). [CrossRef]
  21. A. Tarantola and B. Valette, “Generalized nonlinear inverse problems solved using the least squares criterion,” Rev. Geophys. Space Phys. 20, 219-232 (1982). [CrossRef]
  22. F. Rigaut and E. Gendron, “Laser guide star in adaptive optics: the tilt determination problem,” Astron. Astrophys. 261, 677-684 (1992).
  23. R. Ragazzoni, “Multiple field of view layer oriented,” in Beyond Conventional Adaptive Optics: ESO Conference and Workshop (European Southern Observatory, 2001), Vol. 58, pp. 75-82.
  24. C. Petit, J.-M. Conan, C. Kulcsár, and H.-F. Raynaud, ONERA, BP72, Chatillon FR-92322, are preparing a manuscript to be called, “LQG control for AO and MCAO: experimental and numerical analysis.”
  25. A. Tokovinin, “Performance and error budget of a GLAO system,” Proc. SPIE 7015, 701526 (2008). [CrossRef]
  26. F. Hammer, F. Sayede, E. Gendron, T. Fusco, D. Burgarella, V. Cayatte, J.-M. Conan, F. Courbin, H. Flores, I. Guinouard, L. Jocou, A. Lançon, G. Monnet, M. Mouchine, F. Rigaud, D. Rouan, G. Rousset, V. Buat, and F. Zamkotsian, “The FALCON concept: multi-object spectroscopy combined with MCAO in near-IR,” in Beyond Conventional Adaptive Optics: ESO Conference and Workshop (European Southern Observatory, 2002), Vol. 58, pp. 139-148.
  27. F. Assémat, E. Gendron, and F. Hammer, “The FALCON concept: multi-object adaptive optics and atmospheric tomography for integral field spectroscopy--principles and performance on an 8-m telescope,” Mon. Not. R. Astron. Soc. 376, 287-312 (2007). [CrossRef]
  28. F. Rigaut, “Ground conjugate wide field adaptive optics for the ELTs,” in Beyond Conventional Adaptive Optics: ESO Conference and Workshop (European Southern Observatory, 2002), Vol. 58, pp. 11-16.

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