A fiber amplifier suitable for high power, narrow linewidth applications exhibits suppression of stimulated Brillouin scattering (SBS) by segmenting the fiber amplifier into separate portions that exhibit different Brillouin center frequencies. By changing the center frequencies in adjoining segments of the fiber amplifier, the backward-propagating Stokes signal is essentially blocked, and SBS is suppressed. In a preferred embodiment the segmentation is added to the terminating portion of the fiber amplifier. Various techniques, including temperature modifications, can be used to impart the desired center frequency shift.