Closed-form expressions for nonparaxial accelerating beams with pre-engineered trajectories
Optics
2015-06-24 v1
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: besides 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.
Cite
@article{arxiv.1503.04605,
title = {Closed-form expressions for nonparaxial accelerating beams with pre-engineered trajectories},
author = {Raluca-Sorina Penciu and Vassilis Paltoglou and Nikolaos K. Efremidis},
journal= {arXiv preprint arXiv:1503.04605},
year = {2015}
}
Comments
Accepted for publication in Optics Letters