用密度矩阵的方法从理论上分析了不同频率的两个激光场混合泵浦的光纤放大器中，由光场诱导的原子相干效应。并由此引入相干修正因子，通过修正的速率方程讨论了两光场与原子的相干作用对放大器增益的影响。

The effects of atomic coherence on fiber amplifiers pumped by two lasers with different frequences are studied by using density matrix theory. The coherence factors are introduced in the rate equations and convective equations, which are then used to describe and calculate the influences of the coherence on the gain of hybrid pumped Er3+ doped fiber amplifiers.