An EUV collector transfers EUV radiation from an EUV radiation source into an illumination far field. The collector has a normal mirror collector subunit including a mirror for normal incidence, and a grazing mirror collector subunit including a mirror for grazing incidence. The arrangement of the collector subunits is such that an intensity distribution of the EUV radiation over the far field results which is composed of an inner normal mirror intensity distribution, generated by reflection at least also at the normal mirror collector subunit, and of an outer grazing mirror intensity distribution, generated by reflection at least also at the grazing mirror collector subunit. The intensity distribution, at least over a section of the far field which is greater than 40% of the total far field, deviates by less than 20% from an average intensity in the section of the far field.