A semiconductor component has a plurality of GaN-based layers, which are preferably used to generate radiation, produced in a fabrication process. In the process, the plurality of GaN-based layers are applied to a composite substrate that includes a substrate body and an interlayer. A coefficient of thermal expansion of the substrate body is similar to or preferably greater than the coefficient of thermal expansion of the GaN-based layers, and the GaN-based layers are deposited on the interlayer. The interlayer and the substrate body are preferably joined by a wafer bonding process.