Abstract

Noncommon path aberrations (NCPAs) are one of the main limitations of an extreme adaptive optics (AO) system. NCPAs prevent extreme AO systems from achieving their ultimate performance. These static aberrations are unseen by the wavefront sensor and therefore are not corrected in closed loop. We present experimental results validating what we believe to be new procedures of measurement and precompensation of the NCPAs on the AO bench at ONERA (Office National d’Etudes et de Recherches Aérospatiales). The measurement procedure is based on refined algorithms of phase diversity. The precompensation procedure makes use of a pseudo-closed-loop scheme to overcome the AO wavefront-sensor-model uncertainties. Strehl ratio obtained in the images reaches 98.7% at 632.8nm. This result allows us to be confident of achieving the challenging performance required for direct observation of extrasolar planets.

© 2007 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J.-L. Beuzit, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, and A. Boccaletti, "A planet finder instrument for the VLT," in Proceedings of IAUC 200, Direct Imaging of Exoplanets: Science and Techniques, 2005 (International Astronomical Union, 2005); www.iau.org.
  2. C. Cavarroc, A. Boccaletti, P. Baudoz, T. Fusco, and D. Rouan, "Fundamental limitations on Earth-like planet detection with extremely large telescopes," Astron. Astrophys. 447, 397-403 (2006).
    [CrossRef]
  3. T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
    [CrossRef]
  4. R. A. Gonsalves, "Phase retrieval and diversity in adaptive optics," Opt. Eng. (Bellingham) 21, 829-832 (1982).
  5. R. G. Paxman, T. J. Schulz, and J. R. Fienup, "Joint estimation of object and aberrations by using phase diversity," J. Opt. Soc. Am. A 9, 1072-1085 (1992).
    [CrossRef]
  6. L. Meynadier, V. Michau, M.-T. Velluet, J.-M. Conan, L. M. Mugnier, and G. Rousset, "Noise propagation in wave-front sensing with phase diversity," Appl. Opt. 38, 4967-4979 (1999).
    [CrossRef]
  7. A. Blanc, L. M. Mugnier, and J. Idier, "Marginal estimation of aberrations and image restoration by use of phase diversity," J. Opt. Soc. Am. A 20, 1035-1045 (2003).
    [CrossRef]
  8. G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
    [CrossRef]
  9. M. A. van Dam, D. Le Mignant, and B. A. Macintosh, "Performance of the Keck Observatory adaptive-optics system," Appl. Opt. 43, 5458-5467 (2004).
    [CrossRef]
  10. M. Hartung, A. Blanc, T. Fusco, F. Lacombe, L. M. Mugnier, G. Rousset, and R. Lenzen, "Calibration of NAOS and CONICA static aberrations. Experimental results," Astron. Astrophys. 399, 385-394 (2003).
    [CrossRef]
  11. A. Blanc, T. Fusco, M. Hartung, L. M. Mugnier, and G. Rousset, "Calibration of NAOS and CONICA static aberrations. Application of the phase diversity technique," Astron. Astrophys. 399, 373-383 (2003).
    [CrossRef]
  12. J.-M. Conan, L. M. Mugnier, T. Fusco, V. Michau, and G. Rousset, "Myopic deconvolution of adaptive optics images by use of object and point-spread function power spectra," Appl. Opt. 37, 4614-4622 (1998).
    [CrossRef]
  13. L. M. Mugnier, T. Fusco, and J.-M. Conan, "MISTRAL: a myopic edge-preserving image restoration method, with application to astronomical adaptive-optics-corrected long-exposure images," J. Opt. Soc. Am. A 21, 1841-1854 (2004).
    [CrossRef]
  14. G. Rousset, "Wavefront sensing," in Adaptive Optics for Astronomy, D.Alloin and J.-M.Mariotti, eds. (Kluwer, 1993), Vol. 243, pp. 115-137.
  15. J. Kolb, E. Marchetti, G. Rousset, and T. Fusco, "Calibration of the static aberrations in an MCAO system," Proc. SPIE 5490, 299-308 (2004).
    [CrossRef]
  16. C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Raboud, "First laboratory demonstration of closed-loop Kalman based optimal control for vibration filtering and simplified MCAO," Proc. SPIE 6272, 62721T (2006).
    [CrossRef]

2006 (3)

C. Cavarroc, A. Boccaletti, P. Baudoz, T. Fusco, and D. Rouan, "Fundamental limitations on Earth-like planet detection with extremely large telescopes," Astron. Astrophys. 447, 397-403 (2006).
[CrossRef]

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Raboud, "First laboratory demonstration of closed-loop Kalman based optimal control for vibration filtering and simplified MCAO," Proc. SPIE 6272, 62721T (2006).
[CrossRef]

2004 (3)

2003 (3)

A. Blanc, L. M. Mugnier, and J. Idier, "Marginal estimation of aberrations and image restoration by use of phase diversity," J. Opt. Soc. Am. A 20, 1035-1045 (2003).
[CrossRef]

M. Hartung, A. Blanc, T. Fusco, F. Lacombe, L. M. Mugnier, G. Rousset, and R. Lenzen, "Calibration of NAOS and CONICA static aberrations. Experimental results," Astron. Astrophys. 399, 385-394 (2003).
[CrossRef]

A. Blanc, T. Fusco, M. Hartung, L. M. Mugnier, and G. Rousset, "Calibration of NAOS and CONICA static aberrations. Application of the phase diversity technique," Astron. Astrophys. 399, 373-383 (2003).
[CrossRef]

2002 (1)

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

1999 (1)

1998 (1)

1992 (1)

1982 (1)

R. A. Gonsalves, "Phase retrieval and diversity in adaptive optics," Opt. Eng. (Bellingham) 21, 829-832 (1982).

Arsenault, R.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Baudoz, P.

C. Cavarroc, A. Boccaletti, P. Baudoz, T. Fusco, and D. Rouan, "Fundamental limitations on Earth-like planet detection with extremely large telescopes," Astron. Astrophys. 447, 397-403 (2006).
[CrossRef]

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

Beuzit, J.-L.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

J.-L. Beuzit, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, and A. Boccaletti, "A planet finder instrument for the VLT," in Proceedings of IAUC 200, Direct Imaging of Exoplanets: Science and Techniques, 2005 (International Astronomical Union, 2005); www.iau.org.

Blanc, A.

M. Hartung, A. Blanc, T. Fusco, F. Lacombe, L. M. Mugnier, G. Rousset, and R. Lenzen, "Calibration of NAOS and CONICA static aberrations. Experimental results," Astron. Astrophys. 399, 385-394 (2003).
[CrossRef]

A. Blanc, L. M. Mugnier, and J. Idier, "Marginal estimation of aberrations and image restoration by use of phase diversity," J. Opt. Soc. Am. A 20, 1035-1045 (2003).
[CrossRef]

A. Blanc, T. Fusco, M. Hartung, L. M. Mugnier, and G. Rousset, "Calibration of NAOS and CONICA static aberrations. Application of the phase diversity technique," Astron. Astrophys. 399, 373-383 (2003).
[CrossRef]

Boccaletti, A.

C. Cavarroc, A. Boccaletti, P. Baudoz, T. Fusco, and D. Rouan, "Fundamental limitations on Earth-like planet detection with extremely large telescopes," Astron. Astrophys. 447, 397-403 (2006).
[CrossRef]

J.-L. Beuzit, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, and A. Boccaletti, "A planet finder instrument for the VLT," in Proceedings of IAUC 200, Direct Imaging of Exoplanets: Science and Techniques, 2005 (International Astronomical Union, 2005); www.iau.org.

Cavarroc, C.

C. Cavarroc, A. Boccaletti, P. Baudoz, T. Fusco, and D. Rouan, "Fundamental limitations on Earth-like planet detection with extremely large telescopes," Astron. Astrophys. 447, 397-403 (2006).
[CrossRef]

Charton, J.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Conan, J.-M.

Dohlen, K.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

J.-L. Beuzit, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, and A. Boccaletti, "A planet finder instrument for the VLT," in Proceedings of IAUC 200, Direct Imaging of Exoplanets: Science and Techniques, 2005 (International Astronomical Union, 2005); www.iau.org.

Fienup, J. R.

Fusco, T.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Raboud, "First laboratory demonstration of closed-loop Kalman based optimal control for vibration filtering and simplified MCAO," Proc. SPIE 6272, 62721T (2006).
[CrossRef]

C. Cavarroc, A. Boccaletti, P. Baudoz, T. Fusco, and D. Rouan, "Fundamental limitations on Earth-like planet detection with extremely large telescopes," Astron. Astrophys. 447, 397-403 (2006).
[CrossRef]

L. M. Mugnier, T. Fusco, and J.-M. Conan, "MISTRAL: a myopic edge-preserving image restoration method, with application to astronomical adaptive-optics-corrected long-exposure images," J. Opt. Soc. Am. A 21, 1841-1854 (2004).
[CrossRef]

J. Kolb, E. Marchetti, G. Rousset, and T. Fusco, "Calibration of the static aberrations in an MCAO system," Proc. SPIE 5490, 299-308 (2004).
[CrossRef]

M. Hartung, A. Blanc, T. Fusco, F. Lacombe, L. M. Mugnier, G. Rousset, and R. Lenzen, "Calibration of NAOS and CONICA static aberrations. Experimental results," Astron. Astrophys. 399, 385-394 (2003).
[CrossRef]

A. Blanc, T. Fusco, M. Hartung, L. M. Mugnier, and G. Rousset, "Calibration of NAOS and CONICA static aberrations. Application of the phase diversity technique," Astron. Astrophys. 399, 373-383 (2003).
[CrossRef]

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

J.-M. Conan, L. M. Mugnier, T. Fusco, V. Michau, and G. Rousset, "Myopic deconvolution of adaptive optics images by use of object and point-spread function power spectra," Appl. Opt. 37, 4614-4622 (1998).
[CrossRef]

J.-L. Beuzit, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, and A. Boccaletti, "A planet finder instrument for the VLT," in Proceedings of IAUC 200, Direct Imaging of Exoplanets: Science and Techniques, 2005 (International Astronomical Union, 2005); www.iau.org.

Gendron, E.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Gigan, P.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Gonsalves, R. A.

R. A. Gonsalves, "Phase retrieval and diversity in adaptive optics," Opt. Eng. (Bellingham) 21, 829-832 (1982).

Hartung, M.

M. Hartung, A. Blanc, T. Fusco, F. Lacombe, L. M. Mugnier, G. Rousset, and R. Lenzen, "Calibration of NAOS and CONICA static aberrations. Experimental results," Astron. Astrophys. 399, 385-394 (2003).
[CrossRef]

A. Blanc, T. Fusco, M. Hartung, L. M. Mugnier, and G. Rousset, "Calibration of NAOS and CONICA static aberrations. Application of the phase diversity technique," Astron. Astrophys. 399, 373-383 (2003).
[CrossRef]

Hubin, N.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Idier, J.

Kasper, M.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

Kern, P.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Kolb, J.

J. Kolb, E. Marchetti, G. Rousset, and T. Fusco, "Calibration of the static aberrations in an MCAO system," Proc. SPIE 5490, 299-308 (2004).
[CrossRef]

Kulcsar, C.

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Raboud, "First laboratory demonstration of closed-loop Kalman based optimal control for vibration filtering and simplified MCAO," Proc. SPIE 6272, 62721T (2006).
[CrossRef]

Lacombe, F.

M. Hartung, A. Blanc, T. Fusco, F. Lacombe, L. M. Mugnier, G. Rousset, and R. Lenzen, "Calibration of NAOS and CONICA static aberrations. Experimental results," Astron. Astrophys. 399, 385-394 (2003).
[CrossRef]

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Lagrange, A.-M.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Le Mignant, D.

Lenzen, R.

M. Hartung, A. Blanc, T. Fusco, F. Lacombe, L. M. Mugnier, G. Rousset, and R. Lenzen, "Calibration of NAOS and CONICA static aberrations. Experimental results," Astron. Astrophys. 399, 385-394 (2003).
[CrossRef]

Macintosh, B. A.

Madec, P.-Y.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Marchetti, E.

J. Kolb, E. Marchetti, G. Rousset, and T. Fusco, "Calibration of the static aberrations in an MCAO system," Proc. SPIE 5490, 299-308 (2004).
[CrossRef]

Meynadier, L.

Michau, V.

Montri, J.

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Raboud, "First laboratory demonstration of closed-loop Kalman based optimal control for vibration filtering and simplified MCAO," Proc. SPIE 6272, 62721T (2006).
[CrossRef]

Mouillet, D.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

J.-L. Beuzit, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, and A. Boccaletti, "A planet finder instrument for the VLT," in Proceedings of IAUC 200, Direct Imaging of Exoplanets: Science and Techniques, 2005 (International Astronomical Union, 2005); www.iau.org.

Moutou, C.

J.-L. Beuzit, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, and A. Boccaletti, "A planet finder instrument for the VLT," in Proceedings of IAUC 200, Direct Imaging of Exoplanets: Science and Techniques, 2005 (International Astronomical Union, 2005); www.iau.org.

Mugnier, L. M.

Nicolle, M.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

Paxman, R. G.

Petit, C.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Raboud, "First laboratory demonstration of closed-loop Kalman based optimal control for vibration filtering and simplified MCAO," Proc. SPIE 6272, 62721T (2006).
[CrossRef]

Puget, P.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

J.-L. Beuzit, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, and A. Boccaletti, "A planet finder instrument for the VLT," in Proceedings of IAUC 200, Direct Imaging of Exoplanets: Science and Techniques, 2005 (International Astronomical Union, 2005); www.iau.org.

Rabaud, D.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Rabou, P.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Raboud, D.

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Raboud, "First laboratory demonstration of closed-loop Kalman based optimal control for vibration filtering and simplified MCAO," Proc. SPIE 6272, 62721T (2006).
[CrossRef]

Raynaud, H.-F.

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Raboud, "First laboratory demonstration of closed-loop Kalman based optimal control for vibration filtering and simplified MCAO," Proc. SPIE 6272, 62721T (2006).
[CrossRef]

Rouan, D.

C. Cavarroc, A. Boccaletti, P. Baudoz, T. Fusco, and D. Rouan, "Fundamental limitations on Earth-like planet detection with extremely large telescopes," Astron. Astrophys. 447, 397-403 (2006).
[CrossRef]

Rousset, G.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

J. Kolb, E. Marchetti, G. Rousset, and T. Fusco, "Calibration of the static aberrations in an MCAO system," Proc. SPIE 5490, 299-308 (2004).
[CrossRef]

M. Hartung, A. Blanc, T. Fusco, F. Lacombe, L. M. Mugnier, G. Rousset, and R. Lenzen, "Calibration of NAOS and CONICA static aberrations. Experimental results," Astron. Astrophys. 399, 385-394 (2003).
[CrossRef]

A. Blanc, T. Fusco, M. Hartung, L. M. Mugnier, and G. Rousset, "Calibration of NAOS and CONICA static aberrations. Application of the phase diversity technique," Astron. Astrophys. 399, 373-383 (2003).
[CrossRef]

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

L. Meynadier, V. Michau, M.-T. Velluet, J.-M. Conan, L. M. Mugnier, and G. Rousset, "Noise propagation in wave-front sensing with phase diversity," Appl. Opt. 38, 4967-4979 (1999).
[CrossRef]

J.-M. Conan, L. M. Mugnier, T. Fusco, V. Michau, and G. Rousset, "Myopic deconvolution of adaptive optics images by use of object and point-spread function power spectra," Appl. Opt. 37, 4614-4622 (1998).
[CrossRef]

G. Rousset, "Wavefront sensing," in Adaptive Optics for Astronomy, D.Alloin and J.-M.Mariotti, eds. (Kluwer, 1993), Vol. 243, pp. 115-137.

Sauvage, J.-F.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

Schulz, T. J.

Stadler, E.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

van Dam, M. A.

Velluet, M.-T.

Zins, G.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

Appl. Opt. (3)

Astron. Astrophys. (3)

C. Cavarroc, A. Boccaletti, P. Baudoz, T. Fusco, and D. Rouan, "Fundamental limitations on Earth-like planet detection with extremely large telescopes," Astron. Astrophys. 447, 397-403 (2006).
[CrossRef]

M. Hartung, A. Blanc, T. Fusco, F. Lacombe, L. M. Mugnier, G. Rousset, and R. Lenzen, "Calibration of NAOS and CONICA static aberrations. Experimental results," Astron. Astrophys. 399, 385-394 (2003).
[CrossRef]

A. Blanc, T. Fusco, M. Hartung, L. M. Mugnier, and G. Rousset, "Calibration of NAOS and CONICA static aberrations. Application of the phase diversity technique," Astron. Astrophys. 399, 373-383 (2003).
[CrossRef]

J. Opt. Soc. Am. A (3)

Opt. Eng. (Bellingham) (1)

R. A. Gonsalves, "Phase retrieval and diversity in adaptive optics," Opt. Eng. (Bellingham) 21, 829-832 (1982).

Opt. Express (1)

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, "High-order adaptive optics requirements for direct detection of extrasolar planets: Application to the SPHERE instrument," Opt. Express 17, 7515-7534 (2006).
[CrossRef]

Proc. SPIE (3)

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, "NAOS, the first AO system of the VLT: on sky performance," Proc. SPIE 4839, 140-149 (2002).
[CrossRef]

J. Kolb, E. Marchetti, G. Rousset, and T. Fusco, "Calibration of the static aberrations in an MCAO system," Proc. SPIE 5490, 299-308 (2004).
[CrossRef]

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Raboud, "First laboratory demonstration of closed-loop Kalman based optimal control for vibration filtering and simplified MCAO," Proc. SPIE 6272, 62721T (2006).
[CrossRef]

Other (2)

G. Rousset, "Wavefront sensing," in Adaptive Optics for Astronomy, D.Alloin and J.-M.Mariotti, eds. (Kluwer, 1993), Vol. 243, pp. 115-137.

J.-L. Beuzit, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, and A. Boccaletti, "A planet finder instrument for the VLT," in Proceedings of IAUC 200, Direct Imaging of Exoplanets: Science and Techniques, 2005 (International Astronomical Union, 2005); www.iau.org.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (14)

Fig. 1
Fig. 1

Principle of phase diversity: two images differing by a known aberration (here, defocus).

Fig. 2
Fig. 2

Principle of NCPA precompensation.

Fig. 3
Fig. 3

Typical aberration spectrum measured on existing optics. Diamonds, measured Zernike coefficient, integrated on radial order; dotted curve, the ( n + 1 ) 2 approximation.

Fig. 4
Fig. 4

Gain of the nonuniform model with respect to the conventional algorithm versus the maximum intensity value in the image. Randomly simulated images of 45 nm rms aberrant phase, ( n + 1 ) 2 shaped spectrum. 75 Zernike modes from Z 4 to Z 78 are estimated by PD.

Fig. 5
Fig. 5

Noise propagation in the Zernike coefficient estimation for different cases of regularization. Dotted curve, average spectrum of the simulated aberrations [ 45 nm total WFE, ( n + 1 ) 2 spectrum]. Dashed curves, phase estimation error for a 133 Zernike estimation, without any regularization term. Solid curve, the same estimation, with only 33 Zernike (regularization by truncation). Dashed–dotted curve, 133 Zernike estimated with the regularization term. SNR in the images is 10 3 .

Fig. 6
Fig. 6

Behavior of the measured Zernike coefficients with the number of iteration of the PCL. Zernike coefficients up to Z 78 are estimated with conventional PD and SNR = 3 × 10 4 . Coefficients up to Z 28 are compensated by the PCL process using AO closed-loop with integrator control law. Image wavelength is 632.8 nm . Dashed–dotted curve, coefficients before any compensation; dotted curve, coefficients after one iteration; solid curve, coefficients after ten iterations.

Fig. 7
Fig. 7

Evolution of the residual error as a function of iteration number for the low order corrected (solid curve) and high-order uncorrected (dotted curve) Zernike modes and for all the measured modes (dashed curve). Conditions are the same as in Fig. 6.

Fig. 8
Fig. 8

Evolution of SR with iteration number. SR is measured on the focal plane images ( SR im ) . Dotted curve, SR computed from the measured NCPAs ( SR Zern ) . SR bias is uniform and estimated to 0.008. Dashed curve, ratio between SR im and SR Zern . Conditions are the same as in Fig. 6.

Fig. 9
Fig. 9

Focused images obtained on the ONERA AO bench (logarithmic scale) corresponding to the first four points of Fig. 8. The image on the left is the image obtained without any precompensation. The SR of the last image is 93.8%. Conditions are the same as in Fig. 6.

Fig. 10
Fig. 10

Optimization of the coefficient a 4 by changing its value before applying the correction slopes. a 4 = 43 nm is the value estimated by PD and a 4 = 34 nm is the value estimated by the maximum SR. Conditions are the same as in Fig. 6 except for the number of compensated Zernike modes, up to Z 36 .

Fig. 11
Fig. 11

Evolution of SR with iteration number. Solid curve, conventional algorithm (uniform noise model); dotted curve, nonuniform noise model algorithm. The measurements were done at the time of each iteration. Conditions are the same as in Fig. 6 except for the use of the PD algorithm.

Fig. 12
Fig. 12

PSF obtained after three iterations of NCPA precompensation. 42 modes are compensated (from Z 4 to Z 45 ), and the exact value of a 4 has been optimized. SR is 98.7%, λ = 632.8 nm .

Fig. 13
Fig. 13

Zernike coefficients measured before compensation (dotted curve) and after three iterations of PCL (dashed curve, corresponding to the PSF shown in Fig. 12). Conditions are the same as in Fig. 12.

Fig. 14
Fig. 14

Measured OTF from the image (dashed curve), OTF corrected for noise and background contributions (solid curve), and adjusted Airy OTF as obtained by the SR measurement procedure (dotted–dashed curve. The cutoff frequencies are adjusted to be superimposed. The transfer function of the CCD is also given (dotted curve).

Tables (2)

Tables Icon

Table 1 Estimation Error with Different Phase Regularizations a

Tables Icon

Table 2 SR Obtained with the Different Optimized Alogorithms

Equations (13)

Equations on this page are rendered with MathJax. Learn more.

i f = FT 1 [ P exp ( j ϕ ) ] 2 o + n ,
i d = FT 1 { P exp [ j ( ϕ + ϕ d ) ] } 2 o + n ,
ϕ ( ρ ) = k a k Z k ( ρ )
P ( o , ϕ i f , i d ) = P ( i f , i d o , ϕ ) P ( o ) P ( ϕ ) P ( i f ) P ( i d ) .
P ( ϕ ) = exp ( ϕ t R ϕ 1 ϕ ) ,
J ( o , ϕ ) = i f h f o σ f ( r ) 2 + i d h d o σ d ( r ) 2 + ϕ t R ϕ 1 ϕ .
SNR = i max σ e .
Σ NU = 100 × ϵ U ϵ NU ϵ U ,
ϵ X = i = 1 N max ( a k meas , X a k true ) 2
SR i m = i ab ( 0 ) i Airy ( 0 ) = i ̃ ab ( f ) d f i ̃ Airy ( f ) d f ,
SR i m = ( i f ( 0 ) + δ B ) i Airy ( α ) d α i Airy ( 0 ) ( i f ( α ) + δ B ) d α SR ( 1 + δ B i f ( 0 ) ) ( 1 N 2 δ B i f ( α ) d α )
δ SR SR = 2 ( δ e e ) .
SR Zern = exp ( k = 2 N max a k 2 ) ,

Metrics