An organic light-emitting diode (1), comprising a layer stack (2) for emitting electromagnetic radiation (6). An electrically conductive first connection layer (4) is arranged on a first surface of the layer stack (2) and an electrically conductive second connection layer (5) at least predominantly transparent to a characteristic wavelength of the emittable electromagnetic radiation (6) is arranged on a second surface of the layer stack (2). The organic light-emitting diode is characterized by a conductive contact structure (7) arranged on the opposite side of the first connection layer (4) from the layer stack, which contact structure is connected electrically to the second connection layer (5) in the region of a plurality of openings (12) in the first connection layer (4). Also disclosed is a contact arrangement (15) for a two-dimensional, optically active element and to a method of producing organic light-emitting diodes (1).