【摘要】 基于龙格库塔公式 ,本文提出了可变步长的龙格库塔法用于计算多波长光纤拉曼放大器传输方程 .该算法能够有效地求解泵浦、信号、噪声及其反向散射波 .在计算过程中可以根据每一步的截断误差及精度要求合理地确定步长的大小 ,同时还可以通过调节精度、最大步长、最小步长来控制计算的速度 .数值仿真结果显示该算法较普通的龙格库塔法无论是在精度还是速度上均有较大的提高 .该方法比较适合于实际系统优化设计 .更多还原

【Abstract】 A numerical analysis with variable steps for standard propagation equations of fiber Raman amplifiers with multiple wavelength pumps is presented and derived, for the first time based on Runge Kutta formula.The proposed algorithm is very effective in solving Raman amplifier equations which include pumps, signals, noises, and their backscattering waves. Every step size can be decided according to local truncation error and the promised precision; additionally, the computing speed can be controlled by adjusting the precision to the maximum or minimum step size. Simulation results show that our proposed analysis can increase the precision and speed available in designing Raman amplifiers compared with a conventional Runge Kutta analysis and can dramatically decrease the computing time with excellent accuracy.更多还原