Estimation of the lateral mis-registrations of the GRAVITY+ adaptive optics system - Perturbative method with open-loop modal correlation and non-perturbative method with temporal correlation of closed-loop telemetry

Open Access

Fig. 11

Example in the GPAO bench of the closed loop estimator. Panels a, b, c: SH-WFS pixel frame, WFS y-slopes and DM commands at the limit of stability before the alignment. Green circles: WFS pupil edges. Panel d: curves of the best temporal correlation fit ${\tilde{C}}^{t}$ $\[\tilde{\mathscr{C}}^{\mathrm{t}}\]$ (grey), of the mean filter of ${\tilde{C}}^{t}$ $\[\tilde{\mathscr{C}}^{\mathrm{t}}\]$ with a sliding window of ±5 data points (green), and of the theoretical correlation $C_{0}$ $\[\mathscr{C}_0\]$ (black). Panel e: map of the best fit correlation coefficients ${\tilde{C}}^{2 D}$ $\[\tilde{\mathscr{C}}^{2 \mathrm{D}}\]$ . The green circle encompasses the frequency space theoretically controlled by the command matrix.

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