Abstract

We propose the linearized focal-plane technique (LIFT) and compare it to classical sensors, such as the quad-cell wavefront sensor (WFS), pyramid WFS, and Shack–Hartmann WFS. The number of modes sensed by LIFT can be tuned without any hardware modification nor degradation of low-order sensing performance. We derive an analytic model of the noise propagation law, which we validate on end-to-end simulations.

© 2010 Optical Society of America

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References

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  1. R. Ragazzoni and J. Farinato, Astron. Astrophys. 350, L23 (1999).
  2. B. Neichel, F. J. Rigaut, M. Bec, D. Gratadour, M. Bocca, and G. Trancho, Proc. SPIE 7736, 773606 (2010).
    [Crossref]
  3. M. Nicolle, T. Fusco, G. Rousset, and V. Michau, Opt. Lett. 29, 2743 (2004).
    [Crossref] [PubMed]
  4. Private conversation with R. Dekany, Caltech Optical Observatories, Physics, Math and Astronomy Division, California Institute of Technology, Pasadena, Calif. 91125, USA.
  5. A. Tokovinin and S. Heathcote, Pub. Astron. Soc. Pacific 118, 1165 (2006).
    [Crossref]
  6. R. A. Gonsalves, Opt. Lett. 26, 684 (2001).
    [Crossref]
  7. R. J. Noll, J. Opt. Soc. Am. 66, 207 (1976).
    [Crossref]
  8. T. Fusco, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, and H. Schnetler, Proc. SPIE 773677360D (2010).
    [Crossref]
  9. L. A. Poyneer and B. Macintosh, J. Opt. Soc. Am. A 21, 810 (2004).
    [Crossref]
  10. G. Rousset, in Adaptive Optics in Astronomy, F.Roddier, ed. (Cambridge U. Press, 1999), Chap. 5, pp. 91–130.
    [Crossref]
  11. F. Rigaut and E. Gendron, Astron. Astrophys. 261, 677 (1992).

2010 (2)

B. Neichel, F. J. Rigaut, M. Bec, D. Gratadour, M. Bocca, and G. Trancho, Proc. SPIE 7736, 773606 (2010).
[Crossref]

T. Fusco, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, and H. Schnetler, Proc. SPIE 773677360D (2010).
[Crossref]

2006 (1)

A. Tokovinin and S. Heathcote, Pub. Astron. Soc. Pacific 118, 1165 (2006).
[Crossref]

2004 (2)

2001 (1)

1999 (2)

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

R. Ragazzoni and J. Farinato, Astron. Astrophys. 350, L23 (1999).

1992 (1)

F. Rigaut and E. Gendron, Astron. Astrophys. 261, 677 (1992).

1976 (1)

Bec, M.

B. Neichel, F. J. Rigaut, M. Bec, D. Gratadour, M. Bocca, and G. Trancho, Proc. SPIE 7736, 773606 (2010).
[Crossref]

Bocca, M.

B. Neichel, F. J. Rigaut, M. Bec, D. Gratadour, M. Bocca, and G. Trancho, Proc. SPIE 7736, 773606 (2010).
[Crossref]

Clenet, Y.

T. Fusco, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, and H. Schnetler, Proc. SPIE 773677360D (2010).
[Crossref]

Cohen, M.

T. Fusco, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, and H. Schnetler, Proc. SPIE 773677360D (2010).
[Crossref]

Farinato, J.

R. Ragazzoni and J. Farinato, Astron. Astrophys. 350, L23 (1999).

Fusco, T.

T. Fusco, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, and H. Schnetler, Proc. SPIE 773677360D (2010).
[Crossref]

M. Nicolle, T. Fusco, G. Rousset, and V. Michau, Opt. Lett. 29, 2743 (2004).
[Crossref] [PubMed]

Gendron, E.

F. Rigaut and E. Gendron, Astron. Astrophys. 261, 677 (1992).

Gonsalves, R. A.

Gratadour, D.

B. Neichel, F. J. Rigaut, M. Bec, D. Gratadour, M. Bocca, and G. Trancho, Proc. SPIE 7736, 773606 (2010).
[Crossref]

Heathcote, S.

A. Tokovinin and S. Heathcote, Pub. Astron. Soc. Pacific 118, 1165 (2006).
[Crossref]

Macintosh, B.

Meimon, S.

T. Fusco, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, and H. Schnetler, Proc. SPIE 773677360D (2010).
[Crossref]

Michau, V.

Neichel, B.

B. Neichel, F. J. Rigaut, M. Bec, D. Gratadour, M. Bocca, and G. Trancho, Proc. SPIE 7736, 773606 (2010).
[Crossref]

Nicolle, M.

Noll, R. J.

Paufique, J.

T. Fusco, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, and H. Schnetler, Proc. SPIE 773677360D (2010).
[Crossref]

Poyneer, L. A.

Ragazzoni, R.

R. Ragazzoni and J. Farinato, Astron. Astrophys. 350, L23 (1999).

Rigaut, F.

F. Rigaut and E. Gendron, Astron. Astrophys. 261, 677 (1992).

Rigaut, F. J.

B. Neichel, F. J. Rigaut, M. Bec, D. Gratadour, M. Bocca, and G. Trancho, Proc. SPIE 7736, 773606 (2010).
[Crossref]

Rousset, G.

M. Nicolle, T. Fusco, G. Rousset, and V. Michau, Opt. Lett. 29, 2743 (2004).
[Crossref] [PubMed]

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

Schnetler, H.

T. Fusco, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, and H. Schnetler, Proc. SPIE 773677360D (2010).
[Crossref]

Tokovinin, A.

A. Tokovinin and S. Heathcote, Pub. Astron. Soc. Pacific 118, 1165 (2006).
[Crossref]

Trancho, G.

B. Neichel, F. J. Rigaut, M. Bec, D. Gratadour, M. Bocca, and G. Trancho, Proc. SPIE 7736, 773606 (2010).
[Crossref]

Astron. Astrophys. (2)

R. Ragazzoni and J. Farinato, Astron. Astrophys. 350, L23 (1999).

F. Rigaut and E. Gendron, Astron. Astrophys. 261, 677 (1992).

J. Opt. Soc. Am. (1)

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

Opt. Lett. (2)

Proc. SPIE (2)

B. Neichel, F. J. Rigaut, M. Bec, D. Gratadour, M. Bocca, and G. Trancho, Proc. SPIE 7736, 773606 (2010).
[Crossref]

T. Fusco, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, and H. Schnetler, Proc. SPIE 773677360D (2010).
[Crossref]

Pub. Astron. Soc. Pacific (1)

A. Tokovinin and S. Heathcote, Pub. Astron. Soc. Pacific 118, 1165 (2006).
[Crossref]

Other (2)

Private conversation with R. Dekany, Caltech Optical Observatories, Physics, Math and Astronomy Division, California Institute of Technology, Pasadena, Calif. 91125, USA.

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

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Figures (2)

Fig. 1
Fig. 1

Weighting modes for the MQC and LIFT (in high- and low-flux cases).

Fig. 2
Fig. 2

Linearity ranges for the LIFT and MQC in tip and focus.

Tables (1)

Tables Icon

Table 1 α i / β i : Total Photon/Detector Noise Variance in rad 2 for n ph tot = 1 ph . e , σ e = 1 ph . e

Equations (8)

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

flux : P QC = [ 1 1 1 1 ] , tip : P QC = [ 1 1 1 1 ] , tilt : P QC = [ 1 1 1 1 ] , astig. : P QC = [ 1 1 1 1 ] ,
I ( r ) = | FT { P e i ϕ d ( u ) P d · e i ϕ } | 2 + n ( r ) ,
I ( A ) I ( 0 ) k a k · I k + n ,
Δ I = H · A + n .
A ^ ML = P ML Δ I ; P ML = ( H t R n 1 H ) 1 H t R n 1 .
var = Tr { E E t } = Tr { ( H t R n 1 H ) 1 } .
I ( A ) I ( A ^ ) k δ a k · I k + n .
i σ 2 ( a ^ i a i ) = i α i 1 n ph tot + i β i ( σ e n ph tot ) 2 ,

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