A surface light guide includes a radiation exit area running along a main extension plane of the surface light guide and includes a light guiding region, which has scattering locations and a coating arranged on a first main area of the light guiding region, wherein radiation coupled in along the main extension plane impinging on the first main area after scattering at the scattering locations has an excessively increased radiation component and the coating reduces in a targeted manner an exit of the excessively increased radiation component from the radiation exit area.