The power scaling of Er-Yb co-doped fiber lasers and amplifiers has
been limited by the bottleneck effect of energy-transfer saturation
between Yb ions and Er ions. The emerging method of Er-Yb co-doped
fiber amplifiers pumped by Yb-doped fiber lasers is considered as an
approach to enhance the threshold of the bottleneck effect. In this
paper, we quantitatively characterize the threshold of the bottleneck
effect via the method of extreme value analysis of the second-order
derivative. The method facilitates the optimization of the amplifier
configuration. Afterward, we numerically investigate the bottleneck
effect of various Er-Yb co-doped fiber amplifiers off-peak
cladding-pumped by
10
×
×
n
m
Yb-doped fiber lasers for what we
believe, to the best of our knowledge, is the first time. The result
shows that the most optimal configuration is long gain fiber over 20 m
pumped by a 1020–1025 nm fiber laser, with more than two times the
output limit of a conventional laser diode pumping scheme. The
essential factors of an amplifier are discussed afterward, including
the pump-launching direction, the optimization of large-mode-area
fiber, the core-cladding ratio, the concentration of doping ions, the
nonlinearity limit, and the distribution of the heat load.