摘要
通过数值分析的方法推导出光纤参量放大饱和信号增益和信号输出功率的数学表达式.计算分三步,首先数值求解描述参量放大过程的非线性耦合方程得出一系列数值,然后用控制变量法找到饱和信号增益的函数形式,最后用最小二乘法拟合出系数(与数字积分结果比较,最大相对误差不超过 0. 46‰).同样也得出了饱和信号输出功率的表达式.计算结果与已有实验结果相吻合.
Two very pithy and powerful analytical expressions for saturated signal gain and signal output power of fiber optical parametric amplifiers are educed with numerical analysis. Those are realized in three steps, first, a series of numerical values are worked out by numerically solving the couple NLS equations that governed the fiber parameter process. Then the function form for saturated signal gain is figured out by control varieties method. At last, adopting least square method, three coefficients are finely obtained with the maximum relative error (in terms of calculated saturated signal gain with numerical integration) no more than 0.46 [per mille] . At the same time, the analytical expression for saturated signal output power is worked out as well. Results of this work agree well with existing experiment results.
出处
《光子学报》
EI
CAS
CSCD
北大核心
2005年第2期226-229,共4页
Acta Photonica Sinica
关键词
光纤通信技术
光纤
光纤参量放大
饱和信号增益
Optical fiber communication technology
Optical fibers
Optical parametric amplifiers (OPAs)
Saturated signal gain
