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. 8

Sanity check of the fits introduced in Fig. 7 (arbitrary unit) for different numbers of controlled modes n^mod and shift amplitudes |δ^th| ( $A$ $\[\mathscr{A}\]$ [δ^th] = 60°). Panels a, c, e, g: curves of the best temporal correlation fit ${\tilde{C}}^{t}$ $\[\tilde{\mathscr{C}}^{\mathrm{t}}\]$ (grey). Black curves: theoretical correlation curve $C_{0}$ $\[\mathscr{C}_0\]$ for δ → 0. Coloured curves: mean filter of ${\tilde{C}}^{t}$ $\[\tilde{\mathscr{C}}^{\mathrm{t}}\]$ with a sliding window of ±5 data points. Panels b, d, f, h: maps of the best fit correlation coefficients ${\tilde{C}}^{2 D}$ $\[\tilde{\mathscr{C}}^{2 \mathrm{D}}\]$ .

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