Do fiber optic transmits the radiation?

Light is a radiation; hence, the answer is yes. Several fibers, depending upon the nature of the materials from that they are made, transmit one band of radiation more or less extensive or limited. Usually, the fibers used for lighting transmit some or no ultraviolet, variable quantities of the visible light frequencies and a very small amount of infrared light frequencies.

Heat is a radiation on the infrared area and does not transmit fine on standard lighting fibers. To put an illustration the amount of heat which will build up inside a case with a volume of one cubic meter of air, it is only one degree in 24 hours, by a 5mm diameter PMMA light guide powered through a 150W metal halide illuminator.