Component for an integrated optical system, in particular for guiding electromagnetic radiation in the visible and/or infrared wavelength range, comprising a monocrystalline substrate of a material having a garnet structure and a refractive index n 1 , in which a dielectric layer having a refractive index n 2 (n 2 1 ) is grown epitaxially on a surface of the substrate and in which an optical waveguide layer having a refractive index n 3 (n 3 >n 2 ) is grown epitaxially on the dielectric layer.