A semiconductor device comprising an optically pumped vertical emitter having an active vertical emitter layer (3), and a pump radiation source, which is used to generate a pump radiation field which propagates in the lateral direction and optically pumps the vertical emitter layer (3) in a pump region, the wavelength of the pump radiation field being smaller than the wavelength of the radiation field (12) generated by the vertical emitter. The pump radiation source has an active pump layer (2), which is arranged downstream of the vertical emitter layer (3) in the vertical direction and which at least partly overlaps the vertical emitter layer as seen in the vertical direction, the active pump layer (2) being arranged in such a way that the pump radiation field generated during operation has a higher power than a parasitic laterally propagating radiation field generated by the vertical emitter layer (3) or that the generation of a parasitic laterally propagating radiation field by the vertical emitter layer (3) is suppressed.