A backlight suitable for use in a display device includes an illumination device having at least one light source and a back reflector stack including a reflective layer and a transparent layer having substantially uniform refractive index and having a plurality of light-directing protrusions disposed in a matrix array. The transparent layer is disposed between the reflective layer and the illumination device with the plurality of light-directing protrusions facing away from the reflective layer. The plurality of light-directing protrusions are configured and disposed in a configuration that is not registered to any light source of the illumination device.