Abstract
Analytical modeling of erbium-doped fiber amplifiers (EDFA) in all operating regimes (i.e., small-signal, signal-saturated, self-saturated, uni- or bidirectionally pumped) requires solving a transcendental equation derived by Saleh et al. in 1990. In this paper, we describe an approximate, although accurate, explicit analytical solution for such a transcendental equation. The use of this explicit solution alleviates computational time constraints and should therefore permit extensive multidimensional or parametric studies of EDFAs. It could be advantageously applied to the study of multiwavelength amplified network systems, with new potentials for interactive computer-assisted design.
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