Distribution of tilt angles for low- (upper panel) and high-resolution (lower panel) spectrograph fibres. Tilt angle was measured from the fibre home position. The red line shows the distribution for the base simulation whilst the blue line shows the tilt angle distribution after introducing the non-constant f_tilt(α) function (see Sect. 4.2.4 for more details). The dashed line shows the uniform distribution of tilt angles. The local bump around 80 arcsec is due to the fixed fibre pattern (see Fig. 1).