A radiation-emitting device having an organic radiation-emitting functional layer and a radiation decoupling layer. The organic radiation-emitting functional layer emits a primary radiation; the radiation decoupling layer is disposed in the beam path of the primary radiation. On the side remote from the radiation-emitting functional layer the radiation decoupling layer comprises a microstructure having regularly disposed geometric structural elements; at least partial regions of the radiation decoupling layer contain regions which effect scattering of the primary radiation.