“…This space/time duality has already been extremely fruitful and has stimulated numerous new concepts or interpretation in ultrafast optics such as temporal or spectral lenses [8,9], Fresnel lens [10], super resolution imaging [11], dispersion gratings [12] or two-wave temporal interferometers [13], to cite a few. Other studies have established links between the near-field propagation observed in diffraction and advanced applications for high repetition-rate sources when initial periodic phase modulation is converted into intensity pattern [14][15][16][17][18] in a process that can be linked to the Talbot array illuminators in the spatial domain [19]. However, despite the fact that coherent communications now heavily rely on the use of phase modulation, no explicit study of the space / time duality for a single phase step has been clearly reported so far.…”