Abstract. We study numerical models for different transverse thulium distribution profiles (TTDPs) characterising the fibres used in thulium-doped fibre amplifiers (TDFAs). Our models consider the overlap factor and the absorption/emission dynamics. Basing on the radial TTDP function of the form, we show that the TDFA gain increases with increasing parameter and decreases as the parameter increases from 1 up to 3 µm, due to the overlap factor which affects the absorption and emission dynamics of the TDFA. The overlap factor increases with increasing and decreases with increasing value. Finally, the noise figure increases as does so, due to suppression of the amplified spontaneous emission.