Far field diffraction of gratings with two roughness levels

We investigate the far field diffraction process produced by diffraction gratings with two roughness levels, such as steel tape gratings, which are used in environments where diffraction gratings made of glass are not possible. We obtain the analytical formulation describing the formation of diffrac...

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Detalhes bibliográficos
Autores: Torcal Milla, Francisco José, Sánchez Brea, Luis Miguel
Tipo de documento: artigo
Data de publicação:2019
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/13563
Acesso em linha:https://hdl.handle.net/20.500.14352/13563
Access Level:Acceso aberto
Palavra-chave:535
Diffraction
Diffraction gratings
Roughness
Far-field
Óptica (Física)
2209.19 Óptica Física
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oai_identifier_str oai:docta.ucm.es:20.500.14352/13563
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repository_id_str
spelling Far field diffraction of gratings with two roughness levelsTorcal Milla, Francisco JoséSánchez Brea, Luis Miguel535DiffractionDiffraction gratingsRoughnessFar-fieldÓptica (Física)2209.19 Óptica FísicaWe investigate the far field diffraction process produced by diffraction gratings with two roughness levels, such as steel tape gratings, which are used in environments where diffraction gratings made of glass are not possible. We obtain the analytical formulation describing the formation of diffraction orders in terms of the roughness parameters. Since roughness is stochastic, we use the mutual coherence function to propagate the field to the Fraunhofer regime. We conclude that diffraction orders exists when at least one correlation length of both roughness is larger than the period of the grating and the standard deviation on heights is around or larger than the illumination wavelength. Finally, we corroborate the analytical results with numerical simulations based on the fast Fourier transform, showing a high agreement.IOP Publishing, Ltd.Universidad Complutense de Madrid20192019-08-0120192019-08-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/13563reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución-NoComercial-SinDerivadas 3.0 Españahttps://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/135632026-06-02T12:44:21Z
dc.title.none.fl_str_mv Far field diffraction of gratings with two roughness levels
title Far field diffraction of gratings with two roughness levels
spellingShingle Far field diffraction of gratings with two roughness levels
Torcal Milla, Francisco José
535
Diffraction
Diffraction gratings
Roughness
Far-field
Óptica (Física)
2209.19 Óptica Física
title_short Far field diffraction of gratings with two roughness levels
title_full Far field diffraction of gratings with two roughness levels
title_fullStr Far field diffraction of gratings with two roughness levels
title_full_unstemmed Far field diffraction of gratings with two roughness levels
title_sort Far field diffraction of gratings with two roughness levels
dc.creator.none.fl_str_mv Torcal Milla, Francisco José
Sánchez Brea, Luis Miguel
author Torcal Milla, Francisco José
author_facet Torcal Milla, Francisco José
Sánchez Brea, Luis Miguel
author_role author
author2 Sánchez Brea, Luis Miguel
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 535
Diffraction
Diffraction gratings
Roughness
Far-field
Óptica (Física)
2209.19 Óptica Física
topic 535
Diffraction
Diffraction gratings
Roughness
Far-field
Óptica (Física)
2209.19 Óptica Física
description We investigate the far field diffraction process produced by diffraction gratings with two roughness levels, such as steel tape gratings, which are used in environments where diffraction gratings made of glass are not possible. We obtain the analytical formulation describing the formation of diffraction orders in terms of the roughness parameters. Since roughness is stochastic, we use the mutual coherence function to propagate the field to the Fraunhofer regime. We conclude that diffraction orders exists when at least one correlation length of both roughness is larger than the period of the grating and the standard deviation on heights is around or larger than the illumination wavelength. Finally, we corroborate the analytical results with numerical simulations based on the fast Fourier transform, showing a high agreement.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-08-01
2019
2019-08-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/13563
url https://hdl.handle.net/20.500.14352/13563
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
https://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
https://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP Publishing, Ltd.
publisher.none.fl_str_mv IOP Publishing, Ltd.
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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