Abstract

The development of high-performance adaptive optics systems requires the optimization of wave-front sensors (WFSs) working in the high-order correction regime. We propose a new method to improve the wave-front slope estimation of a Shack–Hartmann WFS in such a regime. Based on a detailed analysis of the different errors in the slope estimation with a classical centroid and with the new method, the gain in terms of wave-front-sensing accuracy in both the detector and the photon noise regimes is stressed. This improvement is proposed without major system disruption.

© 2004 Optical Society of America

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References

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  1. F. Roddier, ed., Adaptive Optics in Astronomy (Cambridge U. Press, Cambridge, England, 1999).
    [CrossRef]
  2. G. Rousset, in Adaptive Optics in Astronomy, F. Roddier, ed. (Cambridge U. Press, Cambridge, England, 1999), Chap. 5, pp. 91–130.
    [CrossRef]
  3. M. Van Dam and R. Lane, J. Opt. Soc. Am. A 17, 1319 (2000).
    [CrossRef]
  4. T. Noël, “Caractérisation spatiale et temporelle de la turbulence atmosphérique par analyse de surface d’onde,” Ph.D. dissertation (Université Paris VI, Paris, 1997).
  5. J. J. Arines, Opt. Lett. 27, 497 (2002).
    [CrossRef]
  6. G. Rousset, J. Primot, and J.-C. Fontanella, in Workshop on “Adaptive Optics in Solar Observations,” (University of Oslo, Oslo, Norway, 1987), pp. 17–33.
  7. P. Wizinowich, D. S. Acton, O. Lai, J. Gathright, W. Lupton, and P. Stomski, Proc. SPIE 4007, 2 (2000).
    [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, Proc. SPIE 4839, 140 (2002).
    [CrossRef]
  9. T. Fusco, M. Nicolle, G. Rousset, V. Michau, J.-L. Beuzit, and D. Mouillet, “Optimisation of Shack–Hartmann wave front for extreme adaptive optics systems,” in Advancement of Adaptive Optics, Proc. SPIE5490 (SPIE, Bellingham, Wash., to be puslished).

2002 (2)

J. J. Arines, Opt. Lett. 27, 497 (2002).
[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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

2000 (2)

M. Van Dam and R. Lane, J. Opt. Soc. Am. A 17, 1319 (2000).
[CrossRef]

P. Wizinowich, D. S. Acton, O. Lai, J. Gathright, W. Lupton, and P. Stomski, Proc. SPIE 4007, 2 (2000).
[CrossRef]

Acton, D. S.

P. Wizinowich, D. S. Acton, O. Lai, J. Gathright, W. Lupton, and P. Stomski, Proc. SPIE 4007, 2 (2000).
[CrossRef]

Arines, J. J.

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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

Beuzit, J.-L.

T. Fusco, M. Nicolle, G. Rousset, V. Michau, J.-L. Beuzit, and D. Mouillet, “Optimisation of Shack–Hartmann wave front for extreme adaptive optics systems,” in Advancement of Adaptive Optics, Proc. SPIE5490 (SPIE, Bellingham, Wash., to be puslished).

Charton, J.

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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

Fontanella, J.-C.

G. Rousset, J. Primot, and J.-C. Fontanella, in Workshop on “Adaptive Optics in Solar Observations,” (University of Oslo, Oslo, Norway, 1987), pp. 17–33.

Fusco, T.

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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

T. Fusco, M. Nicolle, G. Rousset, V. Michau, J.-L. Beuzit, and D. Mouillet, “Optimisation of Shack–Hartmann wave front for extreme adaptive optics systems,” in Advancement of Adaptive Optics, Proc. SPIE5490 (SPIE, Bellingham, Wash., to be puslished).

Gathright, J.

P. Wizinowich, D. S. Acton, O. Lai, J. Gathright, W. Lupton, and P. Stomski, Proc. SPIE 4007, 2 (2000).
[CrossRef]

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, Proc. SPIE 4839, 140 (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, Proc. SPIE 4839, 140 (2002).
[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, Proc. SPIE 4839, 140 (2002).
[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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

Lacombe, F.

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, Proc. SPIE 4839, 140 (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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

Lai, O.

P. Wizinowich, D. S. Acton, O. Lai, J. Gathright, W. Lupton, and P. Stomski, Proc. SPIE 4007, 2 (2000).
[CrossRef]

Lane, R.

Lupton, W.

P. Wizinowich, D. S. Acton, O. Lai, J. Gathright, W. Lupton, and P. Stomski, Proc. SPIE 4007, 2 (2000).
[CrossRef]

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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

Michau, V.

T. Fusco, M. Nicolle, G. Rousset, V. Michau, J.-L. Beuzit, and D. Mouillet, “Optimisation of Shack–Hartmann wave front for extreme adaptive optics systems,” in Advancement of Adaptive Optics, Proc. SPIE5490 (SPIE, Bellingham, Wash., to be puslished).

Mouillet, 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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

T. Fusco, M. Nicolle, G. Rousset, V. Michau, J.-L. Beuzit, and D. Mouillet, “Optimisation of Shack–Hartmann wave front for extreme adaptive optics systems,” in Advancement of Adaptive Optics, Proc. SPIE5490 (SPIE, Bellingham, Wash., to be puslished).

Nicolle, M.

T. Fusco, M. Nicolle, G. Rousset, V. Michau, J.-L. Beuzit, and D. Mouillet, “Optimisation of Shack–Hartmann wave front for extreme adaptive optics systems,” in Advancement of Adaptive Optics, Proc. SPIE5490 (SPIE, Bellingham, Wash., to be puslished).

Noël, T.

T. Noël, “Caractérisation spatiale et temporelle de la turbulence atmosphérique par analyse de surface d’onde,” Ph.D. dissertation (Université Paris VI, Paris, 1997).

Primot, J.

G. Rousset, J. Primot, and J.-C. Fontanella, in Workshop on “Adaptive Optics in Solar Observations,” (University of Oslo, Oslo, Norway, 1987), pp. 17–33.

Puget, 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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

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, Proc. SPIE 4839, 140 (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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

Rousset, 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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

T. Fusco, M. Nicolle, G. Rousset, V. Michau, J.-L. Beuzit, and D. Mouillet, “Optimisation of Shack–Hartmann wave front for extreme adaptive optics systems,” in Advancement of Adaptive Optics, Proc. SPIE5490 (SPIE, Bellingham, Wash., to be puslished).

G. Rousset, in Adaptive Optics in Astronomy, F. Roddier, ed. (Cambridge U. Press, Cambridge, England, 1999), Chap. 5, pp. 91–130.
[CrossRef]

G. Rousset, J. Primot, and J.-C. Fontanella, in Workshop on “Adaptive Optics in Solar Observations,” (University of Oslo, Oslo, Norway, 1987), pp. 17–33.

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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

Stomski, P.

P. Wizinowich, D. S. Acton, O. Lai, J. Gathright, W. Lupton, and P. Stomski, Proc. SPIE 4007, 2 (2000).
[CrossRef]

Van Dam, M.

Wizinowich, P.

P. Wizinowich, D. S. Acton, O. Lai, J. Gathright, W. Lupton, and P. Stomski, Proc. SPIE 4007, 2 (2000).
[CrossRef]

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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Lett. (1)

Proc. SPIE (2)

P. Wizinowich, D. S. Acton, O. Lai, J. Gathright, W. Lupton, and P. Stomski, Proc. SPIE 4007, 2 (2000).
[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, Proc. SPIE 4839, 140 (2002).
[CrossRef]

Other (5)

T. Fusco, M. Nicolle, G. Rousset, V. Michau, J.-L. Beuzit, and D. Mouillet, “Optimisation of Shack–Hartmann wave front for extreme adaptive optics systems,” in Advancement of Adaptive Optics, Proc. SPIE5490 (SPIE, Bellingham, Wash., to be puslished).

G. Rousset, J. Primot, and J.-C. Fontanella, in Workshop on “Adaptive Optics in Solar Observations,” (University of Oslo, Oslo, Norway, 1987), pp. 17–33.

T. Noël, “Caractérisation spatiale et temporelle de la turbulence atmosphérique par analyse de surface d’onde,” Ph.D. dissertation (Université Paris VI, Paris, 1997).

F. Roddier, ed., Adaptive Optics in Astronomy (Cambridge U. Press, Cambridge, England, 1999).
[CrossRef]

G. Rousset, in Adaptive Optics in Astronomy, F. Roddier, ed. (Cambridge U. Press, Cambridge, England, 1999), Chap. 5, pp. 91–130.
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

WF variance of the COG (---, pixel size λ/2d; -·-, pixel size λ/d) and four-quadrant estimators (-, pixel size 2λ/d); --, four-quadrant theoretical detector noise (low flux) and photon noise (intermediate flux) asymptotes.

Fig. 2
Fig. 2

WF variance for the four-quadrant (-) and the WCOG (NW=NT··+··,NW=3NT···· and NW=8NT··Δ··, pixel size λ/2d for the three curves). --, Eqs. (4) (intermediate flux) and (5) (low flux); ---, COG saturation level.

Equations (5)

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

σΔϕ2ph,thCOG=π22 ln2NphNTND2
σΔϕ2det,thCOG=π23σdetNph2NS2ND2
CWCOGx=i,jxijWijIiji,jWijIij,
σΔϕ2ph,thWCOG=π22 ln2NphNTND2NT2+NW22NT2+NW22,
σΔϕ2det,thWCOG=π332ln22σdetNph2NT2+NW2ND2.

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