  In this work, we investigate the steady-states of a fiber lasers mode-locked
with a nonlinear amplifying loop-mirror that has an inherent amplitude
noise-suppression mechanism. Due to the interaction of the sinusoidal
transmission function with the fluctuating intracavity pulse amplitude we show
that this mechanism may lead to a detectable difference in relative intensity
noise at the reflected and transmitted output port under specific
preconditions. We present systematic intensity noise measurements with a
nonlinear fiber-based system that replicates a single roundtrip in the laser
cavity. Experimental results and simulations clearly show a reduction of the
intracavity amplitude fluctuations up to 4 dB for certain steady-states.
