An optical device has a base body with a surface, a first optically effective, multilayer system in the base body, terminating at an intersection, and a second optically effective, multilayer system. The second system has a layer along the base body surface, spanning the intersection. The surface of the base body, including the intersection, are jointly treated by at least one of: milling, grinding, polishing, and lapping. A further base body with a further surface and a third optically effective system terminating at a further intersection area at the further surface also has a further layer between the second optically effective multilayer system and the further surface.