Illumination devices of a microlithographic projection exposure apparatus, include a deflection device with which at least two light beams impinging on the deflection device can be variably deflected independently of one another by variation of the deflection angle in each case in such a way that each of the light beams can be directed onto at least one location in a pupil plane of the illumination device via at least two different beam paths; wherein, on the beam paths, at least one optical property of the respective light beam is influenced differently.