Modeling gain dynamics of thulium-doped fiber amplifiers

The transient response of single-(14xx nm) and dual-(14xx + 1550 nm) wavelength-pumped thulium-doped fiber amplifiers is modeled. With an optimally chosen method for numerical integration of rate equations involving several energy levels, we can estimate the transient response and frequency dependent characteristics during add-drop transitions. Results correspond to the experimental data with good accuracy.