Grating configurations to compress extreme-ultraviolet ultrashort pulses

It is here discussed the design of ultrafast extreme-ultraviolet (XUV) grating compressors that can be used to condition the spectral phase of ultrashort chirped pulses to compensate for the phase chirp and get closer to the Fourier limit. We discuss the two configurations that can be used to realize the compressor, the classical diffraction mount, and the off-plane one. The concept is applied to the realization of a XUV compressor with applications to free-electron lasers.