Closed-form expressions for nonparaxial accelerating beams with pre-engineered trajectories

Closed-form expressions for nonparaxial accelerating beams with pre-engineered trajectories

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 caust...

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Veröffentlicht in:arXiv.org 2015-03
Hauptverfasser: Raluca-Sorina Penciu, Paltoglou, Vassilis, Efremidis, Nikolaos K
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Closed form solutions
Exact solutions
Mathematical analysis
Physics - Optics
Trajectories
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description 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.
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subjects Closed form solutions
Exact solutions
Mathematical analysis
Physics - Optics
Trajectories
title Closed-form expressions for nonparaxial accelerating beams with pre-engineered trajectories
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