Generation of Talbot-like fields

We present an integral of diffraction based on particular eigenfunctions of the Laplacian in two dimensions. We show how to propagate some fields, in particular a Bessel field, a superposition of Airy beams, both over the square root of the radial coordinate, and show how to construct a field that r...

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Autores principales: Anaya-Contreras, Jorge A., Zúñiga-Segundo, Arturo, Sánchez-de-la-Llave, David, Moya-Cessa, Héctor M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8355339/
https://www.ncbi.nlm.nih.gov/pubmed/34376769
http://dx.doi.org/10.1038/s41598-021-95697-x
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author Anaya-Contreras, Jorge A.
Zúñiga-Segundo, Arturo
Sánchez-de-la-Llave, David
Moya-Cessa, Héctor M.
author_facet Anaya-Contreras, Jorge A.
Zúñiga-Segundo, Arturo
Sánchez-de-la-Llave, David
Moya-Cessa, Héctor M.
author_sort Anaya-Contreras, Jorge A.
collection PubMed
description We present an integral of diffraction based on particular eigenfunctions of the Laplacian in two dimensions. We show how to propagate some fields, in particular a Bessel field, a superposition of Airy beams, both over the square root of the radial coordinate, and show how to construct a field that reproduces itself periodically in propagation, i.e., a field that renders the Talbot effect. Additionally, it is shown that the superposition of Airy beams produces self-focusing.
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spelling pubmed-83553392021-08-13 Generation of Talbot-like fields Anaya-Contreras, Jorge A. Zúñiga-Segundo, Arturo Sánchez-de-la-Llave, David Moya-Cessa, Héctor M. Sci Rep Article We present an integral of diffraction based on particular eigenfunctions of the Laplacian in two dimensions. We show how to propagate some fields, in particular a Bessel field, a superposition of Airy beams, both over the square root of the radial coordinate, and show how to construct a field that reproduces itself periodically in propagation, i.e., a field that renders the Talbot effect. Additionally, it is shown that the superposition of Airy beams produces self-focusing. Nature Publishing Group UK 2021-08-10 /pmc/articles/PMC8355339/ /pubmed/34376769 http://dx.doi.org/10.1038/s41598-021-95697-x Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Anaya-Contreras, Jorge A.
Zúñiga-Segundo, Arturo
Sánchez-de-la-Llave, David
Moya-Cessa, Héctor M.
Generation of Talbot-like fields
title Generation of Talbot-like fields
title_full Generation of Talbot-like fields
title_fullStr Generation of Talbot-like fields
title_full_unstemmed Generation of Talbot-like fields
title_short Generation of Talbot-like fields
title_sort generation of talbot-like fields
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8355339/
https://www.ncbi.nlm.nih.gov/pubmed/34376769
http://dx.doi.org/10.1038/s41598-021-95697-x
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