A simple model describing the evolution of pump, signal, and amplified
spontaneous emission powers in an erbium-doped silica fiber is presen
ted. The model is based on overlapping factors, depending on pump- and
signal-coupled powers, which are systematically studied. Accurate res
ults for gain and amplified spontaneous emission are obtained when thi
s model is used. Experiments to measure the characteristic parameters
of the fiber appearing in the model are described. Two main advantages
of this model are found: computation time is considerably reduced and
fiber characterization does not make it necessary to measure the para
meters of the fiber as a function of radial or azimuthal coordinates.