Generation of Talbot-like fields

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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Main Authors: Jorge A. Anaya-Contreras, Arturo Zúñiga-Segundo, David Sánchez-de-la-Llave, Héctor M. Moya-Cessa
Format: Article
Language:English
Published: Nature Publishing Group 2021-08-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-95697-x
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spelling doaj-12e5d52d09514f6384cc01ec71a7a2492021-08-15T11:25:03ZengNature Publishing GroupScientific Reports2045-23222021-08-011111910.1038/s41598-021-95697-xGeneration of Talbot-like fieldsJorge A. Anaya-Contreras0Arturo Zúñiga-Segundo1David Sánchez-de-la-Llave2Héctor M. Moya-Cessa3Instituto Politécnico Nacional, Departamento de Física, ESFMInstituto Politécnico Nacional, Departamento de Física, ESFMInstituto Nacional de Astrofísica Óptica y ElectrónicaInstituto Nacional de Astrofísica Óptica y ElectrónicaAbstract 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.https://doi.org/10.1038/s41598-021-95697-x
collection DOAJ
language English
format Article
sources DOAJ
author Jorge A. Anaya-Contreras
Arturo Zúñiga-Segundo
David Sánchez-de-la-Llave
Héctor M. Moya-Cessa
spellingShingle Jorge A. Anaya-Contreras
Arturo Zúñiga-Segundo
David Sánchez-de-la-Llave
Héctor M. Moya-Cessa
Generation of Talbot-like fields
Scientific Reports
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 Publishing Group
series Scientific Reports
issn 2045-2322
publishDate 2021-08-01
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.
url https://doi.org/10.1038/s41598-021-95697-x
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AT arturozunigasegundo generationoftalbotlikefields
AT davidsanchezdelallave generationoftalbotlikefields
AT hectormmoyacessa generationoftalbotlikefields
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