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Experiment-based model of an Er/Yb gain medium for fiber amplifiers and lasers
A model of an Er3+/Yb3+ co-doped glass gain medium is proposed. The system of rate equations taking into
account a minimum set of processes required to describe experimental data was built. As a result, a moderate number of fitting parameters is used, and thereby the model reliability is increased. For the populations of the energy
levels of Er3+ and Yb3+ ions, analytic expressions were obtained, as well as for the gain factor of the medium. The
model was validated by a series of measurements of gain in Er3+/Yb3+ fiber amplifiers of different lengths at varying
pump power. Such parameters of the model were found to fit the experimental data with an account of the spatial
inhomogeneity of thepumppower along the fiber. Themaximuminversion of erbium ion population at highpump
powers was analytically expressed, which describes the “bottleneck” effect. The power required to pump the fiber
along the entire length was found.