A simple rate-equation model of double pass (DP), remotely-pumped Erbium-doped fiber amplifier (R-EDFA) is developed based on the Giles-and-Desurvire (1991) model of a single pass (SP) EDFA. The mathematical equations to calculate stimulated absorption-and-emission rate between levels 1 and 2 of SP EDFA are modified by integrating the reflected backward-propagating signal of the DP R-EDFA. Besides the signal amplification, dispersion compensation by the chirped-fiber Bragg-grating (CFBG) inside the DP R-EDFA is also taken into account. The reflection losses of a signal by the CFBG are included in the backward-propagating signal of the DP R-EDFA. Considering a high gain and low noise figure (NF) by very low remote pump power as a main design objective, the design process of an optimized DP R-EDFA for a long haul optical-fiber-communication system (OFCS) is demonstrated. Robustness and stability of the DP R-EDFA rate-equation model developed are shown by analyzing the numerical results and output shapes using various design parameters of the DP R-EDFA. Finally, the DP R-EDFA rate-equation model developed is validated with the help of experimental results.
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