Open AccessGeneration of nonparaxial accelerating fields through mirrors I: Two dimensions
Author(s) -
Miguel A. Alonso,
Miguel A. Bandres
Publication year - 2014
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.22.007124
Subject(s) - physics , optics , ray tracing (physics) , collimated light , geometrical optics , caustic (mathematics) , wave packet , field (mathematics) , point (geometry) , beam tracing , tracing , classical mechanics , distributed ray tracing , geometry , laser , computer science , mathematics , quantum mechanics , pure mathematics , mathematical physics , operating system
Accelerating beams are wave packets that preserve their shape while propagating along curved trajectories. Recent constructions of nonparaxial accelerating beams cannot span more than a semicircle. Here, we present a ray based analysis for nonparaxial accelerating fields and pulses in two dimensions. We also develop a simple geometric procedure for finding mirror shapes that convert collimated fields or fields emanating from a point source into accelerating fields tracing circular caustics that extend well beyond a semicircle.