Abstract
Based on the Dormand-Prince (DP) formula, a fast and effective method is proposed, which can implement automatic step-size adjustment to solve the model equations of fiber Raman amplifiers and erbium-doped fiber amplifiers (EDFAs). Numerical results show that (1) the CPU time of the proposed method is about 4.2 times smaller than that of the DP method when the Raman amplifier propagation equations are solved; (2) our method reduces the running time by more than two orders of magnitude in comparison with the classical fourth-order Runge-Kutta method; (3) in comparison with the DP method, the proposed method can increase the computational speed by about 2.5 times in solving the model equations of EDFAs.
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