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Theory of free electron vortices
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 cond...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier
2011
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3279051/ https://www.ncbi.nlm.nih.gov/pubmed/21930017 http://dx.doi.org/10.1016/j.ultramic.2011.07.004 |
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author | Schattschneider, P. Verbeeck, J. |
author_facet | Schattschneider, P. Verbeeck, J. |
author_sort | Schattschneider, P. |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-3279051 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2011 |
publisher | Elsevier |
record_format | MEDLINE/PubMed |
spelling | pubmed-32790512012-02-14 Theory of free electron vortices Schattschneider, P. Verbeeck, J. Ultramicroscopy Article 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. Elsevier 2011-08 /pmc/articles/PMC3279051/ /pubmed/21930017 http://dx.doi.org/10.1016/j.ultramic.2011.07.004 Text en © 2011 Elsevier B.V. https://creativecommons.org/licenses/by-nc-nd/3.0/ Open Access under CC BY-NC-ND 3.0 (https://creativecommons.org/licenses/by-nc-nd/3.0/) license |
spellingShingle | Article Schattschneider, P. Verbeeck, J. Theory of free electron vortices |
title | Theory of free electron vortices |
title_full | Theory of free electron vortices |
title_fullStr | Theory of free electron vortices |
title_full_unstemmed | Theory of free electron vortices |
title_short | Theory of free electron vortices |
title_sort | theory of free electron vortices |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3279051/ https://www.ncbi.nlm.nih.gov/pubmed/21930017 http://dx.doi.org/10.1016/j.ultramic.2011.07.004 |
work_keys_str_mv | AT schattschneiderp theoryoffreeelectronvortices AT verbeeckj theoryoffreeelectronvortices |