Optical element for influencing a nominal beam angle of a radiation beam (8; 26) hitting the optical element, with said nominal beam angle being preset over a beam cross-section, comprising - a spatial optical structure (9; 12, 16; 82; 84) which generates a first part of the influence exerted on the nominal beam angle when being exposed to the radiation beam (8; 26), - an optical coating (24; 24'; 55; 70; 73; 74; 82a; 84a) which is applied on the spatial optical structure (9; 12, 16; 82; 84) or on a carrier layer which carries the spatial optical structure (9; 12, 16; 82; 84), with the optical coating (24; 24'; 55; 82a; 84a) generating a defined attenuation of parts of the radiation beam over the beam cross-section when exposed to the radiation beam (8; 26), and thus generating a second part of the influence exerted on the nominal beam angle, - with the optical effects of the spatial optical structure (9; 12, 16; 82; 84) and the optical coating (24; 24'; 55; 82a; 84a) being such that they complement each other in influencing the nominal beam angle, wherein the spatial optical structure (9; 12, 16; 82; 84) is designed in a way as to generate a far field distribution for the incident radiation beam - in which a first intensity is generated at a first position ( ± x 1) of the far field and a second intensity is generated at a second position (x = 0) of the far field, with the first and second intensities differing by at least 5%, in particular by at least 10%, - with the optical effect of the optical coating (24; 24'; 55; 82a; 84a) and the optical effect of the optical structure (9; 12, 16; 82; 84) complementing each other in a way that the total far field distribution generated by the entire optical element is constant in at least a portion comprising the two positions ( ± x 1, x = 0) where the first and second intensities are generated. - a spatial optical structure (9; 12, 16; 82; 84) which generates a first part of the influence exerted on the nominal beam angle when being exposed to the radiation beam (8; 26), - an optical coating (24; 24'; 55; 70; 73; 74; 82a; 84a) which is applied on the spatial optical structure (9; 12, 16; 82; 84) or on a carrier layer which carries the spatial optical structure (9; 12, 16; 82; 84), with the optical coating (24; 24'; 55; 82a; 84a) generating a defined attenuation of parts of the radiation beam over the beam cross-section when exposed to the radiation beam (8; 26), and thus generating a second part of the influence exerted on the nominal beam angle, - with the optical effects of the spatial optical structure (9; 12, 16; 82; 84) and the optical coating (24; 24'; 55; 82a; 84a) being such that they complement each other in influencing the nominal beam angle, - in which a first intensity is generated at a first position ( ± x 1) of the far field and a second intensity is generated at a second position (x = 0) of the far field, with the first and second intensities differing by at least 5%, in particular by at least 10%, - with the optical effect of the optical coating (24; 24'; 55; 82a; 84a) and the optical effect of the optical structure (9; 12, 16; 82; 84) complementing each other in a way that the total far field distribution generated by the entire optical element is constant in at least a portion comprising the two positions ( ± x 1, x = 0) where the first and second intensities are generated.