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Ultramicroscopy. 2011 Aug-Oct;111(9-10):1461-8. doi: 10.1016/j.ultramic.2011.07.004. Epub 2011 Jul 23.

Theory of free electron vortices.

Author information

1
Institute for Solid State Physics, Vienna University of Technology, Wien, Austria. schattschneider@ifp.tuwien.ac.at

Abstract

The recent creation of electron vortex beams and their first practical application motivates a better understanding of their properties. Here, we develop the theory of free electron vortices with quantized angular momentum, based on solutions of the Schrödinger equation for cylindrical boundary conditions. The principle of transformation of a plane wave into vortices with quantized angular momentum, their paraxial propagation through round magnetic lenses, and the effect of partial coherence are discussed.

PMID:
21930017
PMCID:
PMC3279051
DOI:
10.1016/j.ultramic.2011.07.004
[Indexed for MEDLINE]
Free PMC Article

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