Abstract: A composite structure is disclosed that includes a support wafer and a layered structure on the support wafer. The layered structure includes at least one layer of a monocrystalline material and at least one layer of a dielectric material. In addition, the layered structure materials and the thickness of each layer are chosen such that the thermal impedance between ambient temperature and 600° K of the composite structure is a value that is no greater than about 1.3 times the thermal impedance of a monocrystalline bulk SiC wafer having the same dimensions as the composite structure. The composite structure provides sufficient heat dissipation properties for manufacturing optical, electronic, or optoelectronic components.