Based on the modeling of a fiber amplification system, a closed form rate and power
evolution equation for low-repetition-rate pulse amplification in a multi-stage fiber
master-oscillator-power-amplifier (MOPA) is constructed. In order to ensure a high-energy
conversing efficiency at the lowest cost, a novel multi-stage optimization method is
proposed for the optimization of the multi-stage MOPA system. Differently from the
individual optimization method for single fiber amplifiers, every stage amplifier is
considered as a part of the whole system and optimized by analyzing the final output pulse
energy. As an example, the system parameters of a two stage ytterbium-doped fiber MOPA
system including the fiber length, pump power, and peak power of the seed source
are optimized by using the proposed method. Under the condition of obtaining
almost the same output pulse energy, the fiber length and pump power of the
first stage optimized by the new method are, respectively, shorter and lower,
1.6 m and 57.3 W, than those optimized by the individual optimization method.
Meanwhile, the optimization results also show that increasing the input signal energy
is not an effective way to increase the output energy. The proposed theoretical
optimization method can provide an important guide for the design and optimization
of the low-repetition-rate pulse amplification in a multi-stage MOPA system.
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