Abstract: Luminaire having an optical waveguide plate, which has a first light guiding surface, and having a light reflecting area—arranged opposite the latter—of an opaque reflector, which reflects light back into the optical waveguide plate in such a way that at least part of said light emerges from the second light guiding surface facing away therefrom. The light reflecting area has a very large number of reflecting area regions, which extend obliquely with respect to one another and obliquely with respect to the opposite first light guiding surface of the optical waveguide plate.