Closed-form expressions for nonparaxial accelerating beams with pre-engineered trajectories
arXiv:1503.04605 · doi:10.1364/OL.40.001444
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.
Accepted for publication in Optics Letters
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