The invention relates to an illumination system (10, 12), to a remote phosphor layer (30; 32, 34), to a scattering layer (32), to a luminaire (100), to a display device (300) and to a method of at least partially correcting a light emission characteristic of at least one light source (22) in the illumination system. The illumination system comprises an array of light sources (20) and a remote phosphor layer and/or a scattering layer arranged between the array of light sources and a light output window (40) for emitting the light from the light sources. At least one light source of the array of light sources comprises a light emission characteristic different from the other light sources of the array of light sources. The luminescent material (52, 54) is distributed across the remote phosphor layer and/or the scattering structures (52) and/or scattering material (52) are distributed across the scattering layer for compensating at least partially the difference in light emission characteristic of the at least one light source.The effect of the illumination system according to the invention is that the deviation of the at least one light source can be compensated, and as such, binning of light sources may be omitted.