An illumination system for a colour image projection device, successively comprising a radiation source for supplying a radiation beam of unpolarized radiation and at least a cholesteric mirror for splitting the radiation beam into at least two sub-beams, each sub-beam having a different wavelength, characterized in that a composite circular polarizer for directly converting the unpolarized radiation into circularly polarized sub-beams is arranged in the path of the radiation beam between the radiation source and the cholesteric mirror, said polarizer comprising a polarization-sensitive beam splitter for splitting the radiation beam into two mutually perpendicularly and linearly polarized sub-beams, and a polarization converter for converting the linearly polarized sub-beams into circularly polarized sub-beams, the circularly polarized sub-beams from the polarizer jointly forming one beam.