Abstract: The expressions of the first- to fourth-order dispersion change were derived when there was a small angle between the two gratings in the plane perpendicular to the grooves (diffracting plane). The field distribution of a pulsed super-Gaussian beam passing through a grating pair was derived. The relations between the misalignment and the space-time properties of the output pulse were analyzed. The results show that the pulse is distorted when it passes through the compressor. The misalignment and the lateral spectrum displacement co-make the pulse distortion more serious. When the pulse passes through the compressor twice, the effects of the lateral spectrum displacement is eliminated, but there are wings and the misalignment brings the pulse forward in time domain. The higher order disper