A radiation system has at least two elongated envelope tubes permeable to light and infrared radiation which are joined together and sealed from the ambient atmosphere, a first envelope tube of which contains an incandescent coil which is electrically connected through sealed tube ends and external contacts to an external power supply and emits infrared radiation in the near IR range; furthermore, at least a second envelope tube is provided which has an elongated carbon strip as an infrared radiator for radiation in the medium IR range, which is likewise connected through sealed ends and external contacts with the external power supply or with an additional external power supply. Preferably a carbon strip is used as the radiator strip, which is configured either as an elongated coil or forms an elongated strip. It is thus possible to produce both infrared radiation in the near IR range and infrared radiation in the medium IR range, so that in the case, for example, of the surface application of paints both paint pigments and pigment solvents can be rapidly vaporized and dried.