An organic light-emitting diode (OLED) device, comprising: one or more OLED elements including first and second spaced-apart electrodes with one or more organic layers formed there-between, at least one organic layer being a light-emitting layer, wherein at least one of the electrodes is a transparent electrode, and wherein the light-emitting layer has a first refractive index; a first transparent encapsulating layer formed over the transparent electrode opposite the organic layer; a scattering layer formed over the first encapsulating layer opposite the transparent electrode; a second encapsulating layer formed over the scattering layer opposite the first transparent encapsulating layer; a transparent cover through which light is emitted having a second refractive index; and a low-index element having a refractive index lower than the first and second refractive indices formed between the second encapsulating layer and the transparent cover.