title: Closed-form expressions for nonparaxial accelerating beams with pre-engineered trajectories.
abstract: In this Letter, we propose a general real-space method for the generation of nonparaxial accelerating beams with arbitrary predefined convex trajectories. Our results lead to closed-form expressions for the required phase at the input plane. We present such closed-form results for a variety of caustic curves: beside circular, elliptic, and parabolic, we find for the first time general power-law and exponential trajectories. Furthermore, by changing the initial amplitude, we can design different intensity profiles along the caustic.
authors.forename: Raluca-Sorina
authors.initials: RS
authors.lastname: Penciu
authors.forename: Vassilis
authors.initials: V
authors.lastname: Paltoglou
authors.forename: Nikolaos K
authors.initials: NK
authors.lastname: Efremidis