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首次提出了将中心时域有限差分法(FDTD)用于研究拉曼放大器(FRA)的瞬态效应,该算法能够适合前向和后向泵浦拉曼放大器。经过模拟表明:此法速度快,效率高,能够实时计算出输出信号的功率,适合 FRA 瞬态效应的研究和 FRA 实时增益比例、微分、积分(PID)控制系统。运用此方法,在20km 的高非线性单模光纤(SMF)中模拟得到瞬态发生延迟100μs,结束于300μs,中间为一振幅不断减小的类似于正弦的运动曲线,这与实验结果一致。实践表明:此法和传统 Runge-Kutta 相比,简单易懂,对于动态系统研究有明显的优势。
For the first time, the finite difference time domain method (FDTD) was applied to study the transient effect of Raman amplifier (FRA), which can be applied to forward and backward pumped Raman amplifiers. The simulation shows that this method is fast and efficient, and can calculate the power of the output signal in real time. It is suitable for the research of FRA transient effects and FRA real-time gain proportional, differential, integral (PID) control system. Using this method, a transient-like delay of 100 μs was simulated in a 20 km high nonlinear SMF and ended in 300 μs with a sinusoidal-like motion with a decreasing amplitude in the middle, consistent with the experimental results. Practice shows that this method is simple and understandable compared with traditional Runge-Kutta, and has obvious advantages for dynamic system research.