title: Theory of free electron vortices.
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.
authors.affiliation: Institute for Solid State Physics, Vienna University of Technology, Wien, Austria. schattschneider@ifp.tuwien.ac.at
authors.forename: P
authors.initials: P
authors.lastname: Schattschneider
authors.forename: J
authors.initials: J
authors.lastname: Verbeeck
mesh_terms: D003198:Computer Simulation; D004583:Electrons; D007909:Lenses; D008027:Light; D008962:Models, Theoretical