一种掺铒光波导放大器的频谱数值分析方法

Numerical Spectrum Analysis Method for Erbium Doped Waveguide Amplifiers

提出了一种基于Douglas离散格式的有限差光束传播法的数值计算方法.采用该方法对实验中所获得的吸收光谱和激发光谱进行Lorentzian叠加拟合,并结合多能级速率方程计算出掺铒光波导放大器(EDWA)中光的场传输强度分布,从而得到掺铒光波导放大器的增益和吸收频谱特性.数值分析结果表明,选用泵浦光波长为980nm的泵浦光源比1480nm的可以获得更大的泵浦效率,同时合理增加EDWA的泵浦长度和掺杂离子数密度可以获得更大的信号增益.由于考虑了协同上转换和交叉弛豫效应,该算法能够对高掺杂的EDWA进行较宽频谱的分析.

A numerical analysis method for erbium doped waveguide amplifiers (EDWA), based on the finite difference beam propagation method modified by Douglas scheme, was presented. In the method, the emission and absorption spectrums obtained from experiments were superposed and fitted by Lorentzian algorithm, and combining with multi-level rate equations, the transmission intensity distribution of the optical field in (EDWA) was simulated. Finally, the gain and absorption spectral behavior of EDWA were obtained numerically. Results show that the pump efficiency of EDWA pumped at 980 nm is higher than that at 1480 nm. Meanwhile, by rationally increasing of the pump length and the erbium concentration, larger signal gains can be acquired. Taking account of the up-conversion and cross-relaxation effects of cooperation, the spectrum analysis of highly doped EDWA can be carried out over a wider frequency band.