Generation of Talbot-like fields

Abstract 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 fie...

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Autores principales:	Jorge A. Anaya-Contreras, Arturo Zúñiga-Segundo, David Sánchez-de-la-Llave, Héctor M. Moya-Cessa
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/12e5d52d09514f6384cc01ec71a7a249
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spelling	oai:doaj.org-article:12e5d52d09514f6384cc01ec71a7a2492021-12-02T15:07:47ZGeneration of Talbot-like fields10.1038/s41598-021-95697-x2045-2322https://doaj.org/article/12e5d52d09514f6384cc01ec71a7a2492021-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-95697-xhttps://doaj.org/toc/2045-2322Abstract 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.Jorge A. Anaya-ContrerasArturo Zúñiga-SegundoDavid Sánchez-de-la-LlaveHéctor M. Moya-CessaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Jorge A. Anaya-Contreras Arturo Zúñiga-Segundo David Sánchez-de-la-Llave Héctor M. Moya-Cessa Generation of Talbot-like fields
description	Abstract 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.
format	article
author	Jorge A. Anaya-Contreras Arturo Zúñiga-Segundo David Sánchez-de-la-Llave Héctor M. Moya-Cessa
author_facet	Jorge A. Anaya-Contreras Arturo Zúñiga-Segundo David Sánchez-de-la-Llave Héctor M. Moya-Cessa
author_sort	Jorge A. Anaya-Contreras
title	Generation of Talbot-like fields
title_short	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_sort	generation of talbot-like fields
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/12e5d52d09514f6384cc01ec71a7a249
work_keys_str_mv	AT jorgeaanayacontreras generationoftalbotlikefields AT arturozunigasegundo generationoftalbotlikefields AT davidsanchezdelallave generationoftalbotlikefields AT hectormmoyacessa generationoftalbotlikefields
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Generation of Talbot-like fields

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