A projector includes an illumination waveguide layer, a collimation waveguide layer, and a spatial modulator. The illumination waveguide layer expands a light beam which is coupled to the spatial modulator. The spatial modulator modulates the expanded light beam to provide a line of light points of controllable brightness. The collimation waveguide collimates light of the light points to obtain a fan of collimated light beams. Each collimated light beam of the fan has an angle corresponding to a coordinate of the corresponding light point of the line. A tiltable reflector may be placed at the exit pupil to scan the fan of light beams in a plane non-parallel to the plane of the fan, thus providing a 2D image in angular domain. An array of Mach-Zehnder interferometers may be used in place of the illumination waveguide layer and the spatial modulator to provide the line of light points.