Dispersion Retrieval for Spatial-Spectral Interference of Ultra-Short Pulses

Spatial-spectral interference is an effective way to characterize an unknown ultra-short pulse. The key of characterizing an unknown ultra-short pulse is to retrieve the dispersion. Considering that the spatial-spectral interference fringe is the equiphase line of different spectra in the space domain and that the phase difference between adjacent interferences is equal to 2π, we propose a novel method of dispersion retrieval for spatial-spectral interference. The analytic expression is deduced and demonstrated by simulated experiments. This method has the advantages of intuitive principle, less calculation and simple process with no Fourier transform, which are beneficial for practical applications.