Exact and geometrical-optics energy trajectories in twisted beams

MV Berry, KT McDonald

Research output: Contribution to journalArticle (Academic Journal)

48 Citations (Scopus)

Abstract

Energy trajectories, that is, integral curves of the Poynting (current) vector, are calculated for scalar Bessel and Laguerre–Gauss beams carrying orbital angular momentum. The trajectories for the exact waves are helices, winding on cylinders for Bessel beams and hyperboloidal surfaces for Laguerre–Gauss beams. In the geometrical optics approximations, the trajectories for both types of beam are overlapping families of straight skew rays lying on hyperboloidal surfaces; the envelopes of the hyperboloids are the caustics: a cylinder for Bessel beams and two hyperboloids for Laguerre–Gauss beams.
Translated title of the contributionExact and geometrical-optics energy trajectories in twisted beams
Original languageEnglish
Pages (from-to)035005-1 - 035005-7
Number of pages7
JournalJournal of Optics A: Pure and Applied Optics
Volume10
DOIs
Publication statusPublished - Mar 2008

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