A light source device for a projector device having a discharge lamp with a silica glass discharge vessel containing a pair of opposed electrodes and at least 0.15 mg/mm.sup.3 of mercury, a concave reflector which surrounds the discharge lamp and reflects light emitted from the discharge lamp in a given direction, and a power supply device which selectively supplies a first wattage and a lower second wattage, is provided with a reflection heating arrangement which, in operation of the discharge lamp with the lower second wattage, returns at least part of the light emitted by the discharge lamp in the direction of the discharge lamp, and in operation of the discharge lamp at the first, higher wattage returns less light than in operation with the second wattage in the direction of the discharge lamp.