Design of an arrayed grating compressor based on far-field

In terms of Fourier optics, the amplitude expression of the output pulse from the misaligned tiled-grating compressor in the far-field is obtained. A theoretical model for the analysis of all the errors is put up, where the idea that the impact of alignment errors on the pulse is the additional phase delay and deflection is summarized. With the criterion that the encircled energy in one times diffraction limit should be kept more than 90% of the ideal case, a design is carried out for a 1 ps pulse with a size of 40 cm and the tolerances of every alignment error are obtained.