\begin{table}%t1 \caption{\label{tab : notations}Table of the notations.} %\centerline {\small \begin{tabular}{lc} \hline\hline Wavelength & $\lambda$\\ % \hline Central wavelength & $\lambda_0$\\ %\hline Bandwidth & $1/R_\lambda = \Delta\lambda/\lambda_0$\\ % \hline Star flux in the pupil upstream of the coronagraph & $\psi_0$\\ % \hline Pupil diameter in the image channel & $D$\\ % \hline Pupil diameter in the reference channel & $D_{{\rm R}}$\\ % \hline $D/D_{{\rm R}}$ & $\gamma$\\ % \hline Flat pupil of diameter~$D$~($1$ inside, $0$ outside) & $P$\\ % \hline Pupil coordinate & $\xi$\\ % \hline Phase aberrations upstream the coronagraph & $\phi_\lambda(\xi)$\\ % \hline Amplitude aberrations upstream the coronagraph & $a(\xi)$\\ % \hline Pupil star amplitude in the image channel & $\psi_{{\rm S},\lambda}(\xi)$\\ % \hline Pupil star amplitude in the reference channel & $\psi_{{\rm R},\lambda}(\xi)$\\ % \hline Pupil separation & $\xi_0$\\ % \hline Focal plane angular coordinate & $\alpha$\\ % \hline Amplitude in the detector plane for $\lambda$ & $A_{i,\lambda}(\alpha)$\\ % \hline Intensity in the detector plane for $\lambda$ & $I_{i,\lambda}(\alpha)$\\ % \hline Polychromatic intensity in the detector plane & $I_{i}(\alpha)$\\ % \hline Number of actuators of the deformable mirror & $N_{\rm act}$~x~$N_{\rm act}$\\ %\hline Interferential image in the detector plane & $I(\alpha)$\\ % \hline Estimation of $I_{{\rm R}}(\alpha)$ & $\overline{I}_{{\rm R}}(\alpha)$\\ % \hline Estimation of $A_{{\rm R}}(\alpha)$ & $\overline{A}_{{\rm R}}(\alpha)$\\ \hline \end{tabular}} \medskip Index~$i$ represents~${\rm R}$, ${\rm S}$, or~${\rm C}$ referring to the reference channel, the stellar residue of the image channel and the companion light of the image channel. \end{table}