A. Carena et al., ON THE JOINT EFFECTS OF FIBER PARAMETRIC GAIN AND BIREFRINGENCE AND THEIR INFLUENCE ON ASE NOISE, Journal of lightwave technology, 16(7), 1998, pp. 1149-1157
Parametric gain (PG) in optical fibers may substantially enhance ampli
fied spontaneous emission (ASE) noise, especially in long-haul amplifi
ed links. We present new results that permit to accurately characteriz
e the effects of PG on ASE noise, as well as the interplay of PG and A
SE noise,vith fiber dispersion in both the anomalous and normal disper
sion regions. In a recent letter [1], we introduced the concept of a P
G transfer matrix, that allows the easy evaluation of ASE noise enhanc
ement over chains of amplified fiber spans. In the same letter we show
ed that the transfer matrix can be expressed in analytical closed-form
when a scalar (single polarization) fiber is assumed. In this paper w
e extend the analysis to a more realistic two-polarization fiber model
that accounts for both linear and nonlinear polarization coupling eff
ects. We show that the new transfer matrix does not have an analytical
expression, but can be easily evaluated using standard numerical algo
rithms. ASE noise enhancement due to PG turns out to be slightly lower
in a realistic birefringent two-polarization fiber than a single-pola
rization fiber. An interesting result is that the single polarization
model yields a convenient approximation to ASE noise enhancement, that
can be evaluated analytically.