V. Annovazzilodi et S. Merlo, A SEMICLASSICAL MODEL FOR NOISE-PROPAGATION IN DEPLETED-PUMP OPTICAL AMPLIFIERS, IEEE journal of quantum electronics, 34(10), 1998, pp. 1823-1829
Erbium-doped and parametric fiber-optic amplifiers can be modeled as a
cascade of ''amplifying'' beamsplitters, each representing a short fi
ber section in which the pump is approximately constant. Each beamspli
tter obeys simple noise combination relations and its gain is calculat
ed from the standard rate equations, The proposed model allows for the
management of pump depletion in a very simple way by numerical analys
is, avoiding direct quantum mechanical calculations, Sample noise prop
agation diagrams are reported for technically significant values of th
e parameters. For the four-wave-mixing amplifier, it has been found th
at the 3-dB noise limit can be reached even for a strong gain compress
ion.