Azimuthally averaged contrast plots obtained with the apodizer designed for a 69% transmission Lyot stop. As in Fig. 8, the blue line denotes the PSF of the telescope (including the Lyot stop) while the black line corresponds to the PSF of the 4QPM without apodization. The three red lines correspond to the PSF of the apodized 4QPM. The solid line is used for the PSF of the “raw” mask (i.e., non-binary), and the dashed and dotted lines are used for the PSFs of the binary masks computed over 256 by 256 points and 128 by 128 points.