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Simulations are used to examine the effects of Er3+ pairs on the characteristics of erbium-doped fiber amplifiers. As the percentage of pairs is increased, the most significant effect is that the small-signal gain steadily drops. On the other hand, the optimum fiber length (for maximum gain at a given pump power) and the saturation power (at optimum length and constant gain) vary minimally up to pair concentrations of 40%. The noise figure shows degradation with increasing pair concentrations that is due entirely to the reduction in gain, i.e., at constant gain a paired and unpaired amplifiers are predicted to have the same noise figure. The main effect of pairs is therefore to increase the amplifier pump power requirement.
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Jefferson L. Wagener, Paul F. Wysocki, Michel J. F. Digonnet, H. John Shaw, "Effect of Er3+ pairs on the gain and noise figure of EDFAs," Proc. SPIE 2073, Fiber Laser Sources and Amplifiers V, (15 February 1994); https://doi.org/10.1117/12.168594