In this paper, a new theoretical model for Rayleigh backscattering (RB)
analysis of fiber Raman amplifiers is proposed. The model includes all the
interactions among the pumps, signals, and all orders of RB. The results
show that the higher order RB has a negligible influence on the performance
of the amplifier. The co-propagating and counter-propagating RB power of the
signal grow quadratically with the net-gain of the amplifier. The signal to
double Rayleigh backscattering noise ratio (OSNRDRB) of backward-pumped
FRAs is better than that of the forward-pumped ones at high net-gain level
(>13 dB), while at low net-gain level the
OSNRDRB of the forward-pumped
FRAs is slightly better than that of the backward-pumped ones.