Apparatus for heating plastic parisons, with a transport device which transports the plastic parisons along a predetermined transport path, and with at least one heating device, wherein the heating device has at least one first radiation source which emits thermal radiation as well as at least one reflector device which reflects at least a proportion of the thermal radiation emitted by the radiation source in the direction of the plastic parisons. The reflector device can be attached to the radiation source and has a support and a reflection component which bears against the support on at least one region and is suitable for reflection of the radiation.