title: Periodic self-accelerating beams by combined phase and amplitude modulation in the Fourier space.
abstract: We propose and demonstrate the generation of periodic self-accelerating beams through both phase and amplitude modulation in the Fourier space. For small amplitude variations, an accelerating beam still follows a smooth convex trajectory, which can be traced by acting on the spectral phase only. However, large modulations such as those generated from the Heaviside function with a zero amplitude distribution partially modify the convex trajectory due to the appearance of straight-line paths. Furthermore, periodic self-accelerating beams along convex trajectories are realized by employing an array of "spectral wells" in both the paraxial and nonparaxial regimes.
authors.affiliation: INRS-EMT, Varennes, Québec, Canada. hynankai@gmail.com
authors.forename: Yi
authors.initials: Y
authors.lastname: Hu
authors.forename: Domenico
authors.initials: D
authors.lastname: Bongiovanni
authors.forename: Zhigang
authors.initials: Z
authors.lastname: Chen
authors.forename: Roberto
authors.initials: R
authors.lastname: Morandotti