Periodic pulse train conformation based on the temporal Radon-Wigner transform

Autores
Cuadrado Laborde, Christian; Costanzo Caso, Pablo Alejandro; Duchowicz, Ricardo; Sicre, Enrique Eduardo
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
By using the Radon–Wigner transform (RWT), we analyze the temporal selfimaging or Talbot effect for producing well-conformed pulse trains with variable repetition rates and duty-cycles. The relationships linking the selfimaging conditions with the fractional orders of the RWT are first obtained for unchirped pulse trains. Then, we extend the analysis to chirped pulse sequences by deriving the conditions to be fulfilled by an equivalent unchirped pulse train producing the same selfimage irradiances. This result becomes relevant for observing well-defined high order fractional selfimaging, which are of interest due to their repetition rate multiplication. Besides, the effect of the finite extension of the pulse train on the selfimage quality is analyzed and a condition is found for relating the required minimum pulse number with the chirp parameter of the pulses.
Centro de Investigaciones Ópticas
Materia
Física
Pulse propagation
Temporal Talbot effect
Phase-space signal representations
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/92921

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repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Periodic pulse train conformation based on the temporal Radon-Wigner transformCuadrado Laborde, ChristianCostanzo Caso, Pablo AlejandroDuchowicz, RicardoSicre, Enrique EduardoFísicaPulse propagationTemporal Talbot effectPhase-space signal representationsBy using the Radon–Wigner transform (RWT), we analyze the temporal selfimaging or Talbot effect for producing well-conformed pulse trains with variable repetition rates and duty-cycles. The relationships linking the selfimaging conditions with the fractional orders of the RWT are first obtained for unchirped pulse trains. Then, we extend the analysis to chirped pulse sequences by deriving the conditions to be fulfilled by an equivalent unchirped pulse train producing the same selfimage irradiances. This result becomes relevant for observing well-defined high order fractional selfimaging, which are of interest due to their repetition rate multiplication. Besides, the effect of the finite extension of the pulse train on the selfimage quality is analyzed and a condition is found for relating the required minimum pulse number with the chirp parameter of the pulses.Centro de Investigaciones Ópticas2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/92921enginfo:eu-repo/semantics/altIdentifier/issn/0030-4018info:eu-repo/semantics/altIdentifier/hdl/11746/495info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:19:16Zoai:sedici.unlp.edu.ar:10915/92921Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:19:17.171SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Periodic pulse train conformation based on the temporal Radon-Wigner transform
title Periodic pulse train conformation based on the temporal Radon-Wigner transform
spellingShingle Periodic pulse train conformation based on the temporal Radon-Wigner transform
Cuadrado Laborde, Christian
Física
Pulse propagation
Temporal Talbot effect
Phase-space signal representations
title_short Periodic pulse train conformation based on the temporal Radon-Wigner transform
title_full Periodic pulse train conformation based on the temporal Radon-Wigner transform
title_fullStr Periodic pulse train conformation based on the temporal Radon-Wigner transform
title_full_unstemmed Periodic pulse train conformation based on the temporal Radon-Wigner transform
title_sort Periodic pulse train conformation based on the temporal Radon-Wigner transform
dc.creator.none.fl_str_mv Cuadrado Laborde, Christian
Costanzo Caso, Pablo Alejandro
Duchowicz, Ricardo
Sicre, Enrique Eduardo
author Cuadrado Laborde, Christian
author_facet Cuadrado Laborde, Christian
Costanzo Caso, Pablo Alejandro
Duchowicz, Ricardo
Sicre, Enrique Eduardo
author_role author
author2 Costanzo Caso, Pablo Alejandro
Duchowicz, Ricardo
Sicre, Enrique Eduardo
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Pulse propagation
Temporal Talbot effect
Phase-space signal representations
topic Física
Pulse propagation
Temporal Talbot effect
Phase-space signal representations
dc.description.none.fl_txt_mv By using the Radon–Wigner transform (RWT), we analyze the temporal selfimaging or Talbot effect for producing well-conformed pulse trains with variable repetition rates and duty-cycles. The relationships linking the selfimaging conditions with the fractional orders of the RWT are first obtained for unchirped pulse trains. Then, we extend the analysis to chirped pulse sequences by deriving the conditions to be fulfilled by an equivalent unchirped pulse train producing the same selfimage irradiances. This result becomes relevant for observing well-defined high order fractional selfimaging, which are of interest due to their repetition rate multiplication. Besides, the effect of the finite extension of the pulse train on the selfimage quality is analyzed and a condition is found for relating the required minimum pulse number with the chirp parameter of the pulses.
Centro de Investigaciones Ópticas
description By using the Radon–Wigner transform (RWT), we analyze the temporal selfimaging or Talbot effect for producing well-conformed pulse trains with variable repetition rates and duty-cycles. The relationships linking the selfimaging conditions with the fractional orders of the RWT are first obtained for unchirped pulse trains. Then, we extend the analysis to chirped pulse sequences by deriving the conditions to be fulfilled by an equivalent unchirped pulse train producing the same selfimage irradiances. This result becomes relevant for observing well-defined high order fractional selfimaging, which are of interest due to their repetition rate multiplication. Besides, the effect of the finite extension of the pulse train on the selfimage quality is analyzed and a condition is found for relating the required minimum pulse number with the chirp parameter of the pulses.
publishDate 2007
dc.date.none.fl_str_mv 2007
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/92921
url http://sedici.unlp.edu.ar/handle/10915/92921
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0030-4018
info:eu-repo/semantics/altIdentifier/hdl/11746/495
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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