# Assessing and mitigating alignment defects of the pyramid wavefront sensor: a translation insensitive control method (Corrigendum)

V. Deo, É. Gendron, G. Rousset, F. Vidal, T. Buey, M. Cohen

► To cite this version:

V. Deo, É. Gendron, G. Rousset, F. Vidal, T. Buey, et al., Assessing and mitigating alignment defects of the pyramid wavefront sensor: a translation insensitive control method (Corrigendum). Astronomy & Astrophysics - A&A, 2019, 626, 10.1051/0004-6361/201833685e. insu-03717030

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https://insu.hal.science/insu-03717030v1

Submitted on 16 Nov 2024

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# Assessing and mitigating alignment defects of the pyramid wavefront sensor: a translation insensitive control method
(Corrigendum)

V. Deo<fnref n="1" />, É. Gendron<fnref n="1" />, G. Rousset<fnref n="1" />, F. Vidal<fnref n="1" />, T. Buey<fnref n="1" />, and M. Cohen<fnref n="2" />

**Key words.** instrumentation: adaptive optics – techniques: high angular resolution – telescopes – errata, addenda

An error has occurred during the production of the published article. Before Eq. (4), second column, fourth line, it is written: “Normalized quadrants, either local or global, are”, but it should read “Normalized quadrants, either local or global, are rearranged into measurement terms depending on the PWFS operation method. Conventionally, quad-cell SH-like terms X, Y are used as follows:”

$$ 
\begin{gathered}
\begin{bmatrix} X_{\text{norm}} \\ Y_{\text{norm}} \end{bmatrix} [k] = \begin{bmatrix} A_{\text{norm}} - B_{\text{norm}} + C_{\text{norm}} - D_{\text{norm}} \\ A_{\text{norm}} + B_{\text{norm}} - C_{\text{norm}} - D_{\text{norm}} \end{bmatrix} [k] \\ = \begin{bmatrix} [r]1 & -1 & 1 & -1 \\ 1 & 1 & -1 & -1 \end{bmatrix} \cdot \begin{bmatrix} A_{\text{norm}} \\ B_{\text{norm}} \\ C_{\text{norm}} \\ D_{\text{norm}} \end{bmatrix} [k],
\end{gathered}
$$

where norm ∈ {Loc, Glob}. (4)

<footnote n="1">¹ LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Univ. Paris Diderot, Sorbonne Paris Cité, 5 place Jules Janssen, 92195 Meudon, France
e-mail: vincent.deo@obspm.fr</footnote>

<footnote n="2">² GEPI, Observatoire de Paris, Université PSL, CNRS, 5 place Jules Janssen, 92195 Meudon, France</footnote>

<footnote>A&A 619, A56 (2018), https://doi.org/10.1051/0004-6361/201833685</footnote>