The linear angular dispersion of a self-diffraction (SD) pulse, from a femtosecond laser pulse cleaning device, is compensated for by the use of a single prism. More than $500~\unicode[STIX]｛x03BC｝\text｛J｝$ first-order SD pulse has a contrast of $10^｛12｝$, which is about five orders of magnitude improvement from the input fundamental pulse. The wings of the distribution away from the main pulse in $\pm 1$ ps are cleaned with a contrast improvement of about $10^｛7｝$, which verifies the pulse cleaning ability of the SD process.