“…In general, the amplification relation in our experiment can be estimated by Frantz-Nodvick model [5,9,11] in which E sat is the saturation energy, E in , E out are the input pulse energy and the output pulse energy for the fiber amplifier, g 0 is the small-signal gain, L is the fiber length (3 m in our case ν is the signal photon energy, es σ , as σ are the emission and the absorption cross-section at the emission wavelength respectively, A is the doped area, and s Γ is the signal overlap with the active dopant (for single mode running at high pump rates: s Γ is approximated to be 0.75) [10].…”