Monocrystalline optical component with curved surface and multilayer coating

An optical component comprising:

• a substrate, on which at least one curved substrate surface is formed that defines an optical axis of the optical component,
• wherein the substrate surface is coated with a multilayer coating that is active in the ultraviolet region at a design wavelength λ0 and comprises a first layer, applied to the substrate surface, made from a first dielectric material and at least one second layer, applied to the first layer, made from a second dielectric material,
• wherein the substrate consists essentially of a crystal material that has an axially parallel crystal direction, running parallel to the optical axis, and edge crystal directions perpendicular to edge regions of the curved substrate surface,
• wherein an angle between the axially parallel crystal direction and the edge crystal directions is at least 17°, and the first layer has an essentially untextured layer structure, and
• wherein the curved substrate surface runs such that low index crystal directions of the crystal material are perpendicular to the substrate surface at at least two different surface regions of the substrate surface.