An illumination system of a microlithographic projection exposure apparatus includes an optical integrator that includes an array of optical raster elements. A condenser superimposes the light beams associated with the optical raster elements in a common field plane. A modulator modifies a field dependency of an angular irradiance distribution in an illuminated field. Units of the modulator are associated with one of the light beams and are arranged at a position in front of the condenser such that only the associated light beam impinges on a single modulator unit. The units are configured to variably redistribute, without blocking any light, a spatial and/or an angular irradiance distribution of the associated light beams. A control device controls the modulator units if it receives an input command that the field dependency of the angular irradiance distribution in the mask plane shall be modified.