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掺铒光纤(EDF)中的自发辐射噪声是影响掺铒光纤放大器(EDFA)工作性能和掺铒光纤激光器(EDFL)的起振特性的重要因素。自发辐射与泵浦方式紧密相关,研究脉冲泵浦下EDF的自发辐射具有重要的学术意义。从速率方程出发,建立了任意波形脉冲泵浦下EDF自发辐射的能级粒子数分布所满足的一元二阶变系数微分方程。由于没有封闭形式的解析解,采用杜哈梅尔方法,将泵浦脉冲波形进行分时段描述,每个小时段都有解析解,从而得到了自发辐射的平均功率表达式。分析结果表明,随着泵浦功率的增大,ASE的输出波形更接近泵浦光的波形,且泵浦光的毛刺对于ASE噪声的影响较小。
Spontaneous emission noise in erbium-doped fiber (EDF) is an important factor that affects the performance of erbium-doped fiber amplifier (EDFA) and the erbium-doped fiber laser (EDFL). The spontaneous emission is closely related to the pumping method. It is of great academic significance to study the spontaneous emission of EDF under pulsed pumping. Based on the rate equation, a set of univariate second-order variable coefficient equations satisfying the energy level particle number distribution of EDF spontaneous emission under arbitrary waveform pulse pump are established. Since there is no closed-form analytical solution, Du Paumeyer’s method is used to describe the pump pulse waveform in a time-division manner and an analytic solution is obtained in each small time period. The average power expression of spontaneous emission is obtained. The analysis results show that with the increase of pump power, the output waveform of ASE is closer to that of pump light, and the glitch of pump light has little effect on ASE noise.