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A theoretical model is developed for the laser-diode-pumped Tm~3+-doped fiber amplifier,and a set of ordinary differential equations (ODEs) governing the dynamics of dual-wavelength pumping scheme (1.4 μm+1.56 μm) based on the rate equations and propagation equations was established.The relationship between the spectra gain and pump power was described and analyzed by numerically solving the ODEs.Spectral gain as a function of longitudinal position along the fiber was given to optimize the fiber length; spectral gain per unit length,and fractional inversion were used to explain the gain shift property of TDFA.The theoretical results agree well with the experimental data.
A theoretical model was developed for the laser-diode-pumped Tm ~ 3 + -doped fiber amplifier, and a set of ordinary differential equations (ODEs) governing the dynamics of dual-wavelength pumping scheme (1.4 μm + 1.56 μm) based on the rate equations and propagation equations was established The relationship between the spectra gain and pump power was described and analyzed by numerically solving the ODEs.Spectral gain as a function of longitudinal position along the fiber was given to optimize the fiber length; spectral gain per unit length, and fractional inversion were used to explain the gain shift property of TDFA. The theoretical results agree well with the experimental data.