掺铒光纤放大器中抽运问题的理论分析

依据掺铒光纤放大器的速率方程和光传输方程，在不计放大自发辐射的情况下，得出了抽运功率和信号增益在放大器中沿光纤分布的隐函形式的解析表达式，并利用数值模拟对三种抽运方式下的放大器特性进行了分析。

Theoretical Studies on the Distribution of Pump Power for 980 nm-Pumped Erbium-Doped Fiber Amplifier

Three kinds of pumping schemes are considered for erbium doped fiber amplifiers (EDFA) pumped in the 980 nm absorption band excluding the effects of ASE process. Based on rate equations and light propagation equations under the condition of the steady state, implicit and analytical solutions of the pump power and the gain for EDFA have been derived. Using these deduced expressions and numerical simulations, curves of the pump power and the gain as a function of fiber coordinate for different pump powers with small and large input signal, respectively, have been analyzed and discussed in three different pumping configurations, namely, forward pumping, backward pumping and bi directional pumping.