Observation of the Larmor and Gouy Rotations with Electron Vortex Beams

Giulio Guzzinati, Peter Schattschneider, Konstantin Y. Bliokh, Franco Nori, and Jo Verbeeck
Phys. Rev. Lett. 110, 093601 – Published 25 February 2013

Abstract

Electron vortex beams carrying intrinsic orbital angular momentum (OAM) are produced in electron microscopes where they are controlled and focused by using magnetic lenses. We observe various rotational phenomena arising from the interaction between the OAM and magnetic lenses. First, the Zeeman coupling, proportional to the OAM and magnetic field strength, produces an OAM-independent Larmor rotation of a mode superposition inside the lens. Second, when passing through the focal plane, the electron beam acquires an additional Gouy phase dependent on the absolute value of the OAM. This brings about the Gouy rotation of the superposition image proportional to the sign of the OAM. A combination of the Larmor and Gouy effects can result in the addition (or subtraction) of rotations, depending on the OAM sign. This behavior is unique to electron vortex beams and has no optical counterpart, as Larmor rotation occurs only for charged particles. Our experimental results are in agreement with recent theoretical predictions.

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  • Received 12 November 2012

DOI:https://doi.org/10.1103/PhysRevLett.110.093601

© 2013 American Physical Society

Authors & Affiliations

Giulio Guzzinati1, Peter Schattschneider2,3, Konstantin Y. Bliokh4,5, Franco Nori4,6, and Jo Verbeeck1

  • 1EMAT, University of Antwerp, Groenenborgerlaan 171, 2020 Antwerp, Belgium
  • 2Institut für Festkörperphysik, Technische Universität Wien, A-1040 Wein, Austria
  • 3University Service Centre for Electron Microscopy, Technische Universität Wien, A-1040 Wien, Austria
  • 4RIKEN, Advanced Science Institute, Wako-shi, Saitama 351-0198, Japan
  • 5A. Usikov Institute of Radiophysics and Electronics, NASU, Kharkov 61085, Ukraine
  • 6Physics Department, University of Michigan, Ann Arbor, Michigan 48109-1040, USA

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Issue

Vol. 110, Iss. 9 — 1 March 2013

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