A technique is described for reducing group delay ripple in a fiber dispersion compensation grating. The grating is mounted into a trimming setup that includes a trimming device and a scanning assembly for causing a region of the grating to be scanned along its length by the trimming device output. The grating is sensitive to the trimming device output, such that exposure to the trimming device output causes a change in the effective refractive index of the scanned region, the amount of change varying as a function of scanning velocity. A region of the grating to be trimmed is selected, and a scanning velocity profile is programmed into the scanning assembly that is calculated to modify the effective refractive index of the selected grating region along its length so as to smooth out group delay ripple in the selected grating region.