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为系统地研究同向抽运光纤拉曼放大器的功率转换效率,采用求数值解和求近似解析解两种方法得到相关结果,并对其结果进行了比较。首先,由耦合微分方程出发,采用龙格库塔算法对功率转换效率进行数值模拟,同时采用求近似解析解的方法推导出功率转换效率公式;然后,给出两种方法下各个参量影响功率转换效率的定量分析结果;最后,对分析功率转换效率的两种方法得到的结果进行了比较。结果表明,两种方法下,各参量对功率转换效率影响的总体趋势一致。功率转换效率都随着光纤长度增加而增加,直到增加至一确定值而保持不变,随着初始信号光功率、光纤拉曼增益系数数值增加而增加,随着光纤有效面积、抽运光与信号光的频率比数值增加而减小;功率转换效率和初始抽运光功率都呈抛物线曲线关系;不同的是,求解析解的结果大于求数值解的结果。求数值解的结果精确,优于求近似解析解的结果。所得结论与文献相比有新的进展,为光纤拉曼放大器功率转换效率的进一步研究提供了参考。
In order to systematically study the power conversion efficiency of the fiber laser in the same direction, the numerical results and the approximate analytical solution are used to obtain the correlation results and the results are compared. Firstly, starting from the coupled differential equations, the Runge-Kutta algorithm is used to simulate the power conversion efficiency. At the same time, the power conversion efficiency formula is deduced by using the approximate analytical solution. Then, the influence of power conversion Efficiency of the quantitative analysis results; Finally, the analysis of the power conversion efficiency of the two methods were compared results. The results show that under the two methods, the overall trend of the influence of each parameter on power conversion efficiency is the same. The power conversion efficiency increases with the increase of the fiber length until it increases to a certain value, but increases with the increase of the Raman gain coefficient of the fiber with the initial signal light power. With the effective area of the fiber, The frequency of the signal light decreases as the value increases; the power conversion efficiency and the initial pump power have a parabolic curve relationship; the difference is that the result of solving the solution is greater than the result of solving the numerical solution. Finding the result of the numerical solution is more accurate than the result of approximating the analytical solution. The conclusion is compared with the literature that there is a new progress, which provides a reference for further research on the power conversion efficiency of fiber Raman amplifier.