Ray-traced νL_ν spectra: impact of directionality. The local spectra were computed with GR illumination. The top row shows emission-angle-averaged (dotted) and angle-dependent (solid) ray-traced spectra. The straight black dashed line shows the level of the direct-component power law (see text for details). The middle row shows the relative difference between averaged and angle-dependent ray-traced spectra. The bottom row shows the same quantity as the middle row for the local spectra, evaluated at r = r_min. The spin is 0 (left column) or 0.98 (right column). Red curves refer to spectra ray traced from an inclination of θ = 5°, i.e., close to face-on. Green curves are computed at an inclination of θ = 85°, i.e., close to edge-on. “Face-on” and “edge-on” in the two upper rows (ray-traced quantities) refer to the inclination angle θ, while in the bottom row (local quantities) these words refer to the emission angle i.