Estimation of the signal gain in a linear-cavity ytterbium laser

Based on the exponential representation of signal amplification along an active fibre, we construct an analytical approximation of the solution to a system of balance equations describing the dynamics of an average signal power and pump inside a linear cavity. The output power of the signal at the ends of the linear cavity is estimated. The output power is optimised for a linear-cavity ytterbium fibre laser. (paper)