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An analytical model of holmium-doped fiber laser is proposed and verified experimentally. The model is based on a two-level model, assumes only transitions between levels 5I8 and 5I7 of the Ho3+ ion in silica, and enables to express the threshold pump power and laser slope efficiency in a closed form. The effect of intrinsic losses is modeled by a physically motivated semi-empirical formula. The model is compared with a numerical one and its application limits are discussed.
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J. Pokorný, J. Aubrecht, M. Kamrádek, M. Grábner, P. Peterka, "Analytical model of holmium-doped fiber laser," Proc. SPIE PC13001, Specialty Optical Fibres VIII, PC1300102 (20 June 2024); https://doi.org/10.1117/12.3017584