The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio

Autores
Di Rocco, Hector Omar; Cruzado, Alicia
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Assuming that V (x) (1 ) G1(x) + L1(x) is a very good approximation of the Voigt function, in thiswork we analytically nd from mathematical properties of V (x). G1(x) and L1(x) represent a Gaussian and a Lorentzian function, respectively, with the same height and HWHM as V (x), the Voigt function, x being the distance from the function center. is obtained as a function of a, a being the ratio of the Lorentz width to the Gaussian width. We nd that, the Voigt function calculated with the expression we have obtained for , deviates from the exact value less than 0.5% with respect to the peak value.
Fil: Di Rocco, Hector Omar. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - Tandil. Sede Tandil del Centro de Investigaciones En Fisica E Ingenieria del Centro de la Provincia de Buenos Aires; Argentina
Fil: Cruzado, Alicia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
Materia
LINE PROFILES
GAUSSIAN AND A LORENTZIAN FUNCTIONS
VOIGT FUNCTION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/269582
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratioDi Rocco, Hector OmarCruzado, AliciaLINE PROFILESGAUSSIAN AND A LORENTZIAN FUNCTIONSVOIGT FUNCTIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Assuming that V (x) (1 ) G1(x) + L1(x) is a very good approximation of the Voigt function, in thiswork we analytically nd from mathematical properties of V (x). G1(x) and L1(x) represent a Gaussian and a Lorentzian function, respectively, with the same height and HWHM as V (x), the Voigt function, x being the distance from the function center. is obtained as a function of a, a being the ratio of the Lorentz width to the Gaussian width. We nd that, the Voigt function calculated with the expression we have obtained for , deviates from the exact value less than 0.5% with respect to the peak value.Fil: Di Rocco, Hector Omar. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - Tandil. Sede Tandil del Centro de Investigaciones En Fisica E Ingenieria del Centro de la Provincia de Buenos Aires; ArgentinaFil: Cruzado, Alicia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; ArgentinaPolish Academy of Sciences. Institute of Physics2012-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/269582Di Rocco, Hector Omar; Cruzado, Alicia; The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio; Polish Academy of Sciences. Institute of Physics; Acta Physica Polonica A; 122; 4; 10-2012; 666-6691898-794XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://przyrbwn.icm.edu.pl/APP/apphome.htmlinfo:eu-repo/semantics/altIdentifier/url/http://przyrbwn.icm.edu.pl/APP/PDF/122/a122z4p05.pdfinfo:eu-repo/semantics/altIdentifier/url/http://przyrbwn.icm.edu.pl/APP/SPIS/a122-4.htmlinfo:eu-repo/semantics/altIdentifier/doi/10.12693/APhysPolA.122.666info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:36:32Zoai:ri.conicet.gov.ar:11336/269582instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 15:36:32.842CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio
title The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio
spellingShingle The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio
Di Rocco, Hector Omar
LINE PROFILES
GAUSSIAN AND A LORENTZIAN FUNCTIONS
VOIGT FUNCTION
title_short The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio
title_full The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio
title_fullStr The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio
title_full_unstemmed The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio
title_sort The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio
dc.creator.none.fl_str_mv Di Rocco, Hector Omar
Cruzado, Alicia
author Di Rocco, Hector Omar
author_facet Di Rocco, Hector Omar
Cruzado, Alicia
author_role author
author2 Cruzado, Alicia
author2_role author
dc.subject.none.fl_str_mv LINE PROFILES
GAUSSIAN AND A LORENTZIAN FUNCTIONS
VOIGT FUNCTION
topic LINE PROFILES
GAUSSIAN AND A LORENTZIAN FUNCTIONS
VOIGT FUNCTION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Assuming that V (x) (1 ) G1(x) + L1(x) is a very good approximation of the Voigt function, in thiswork we analytically nd from mathematical properties of V (x). G1(x) and L1(x) represent a Gaussian and a Lorentzian function, respectively, with the same height and HWHM as V (x), the Voigt function, x being the distance from the function center. is obtained as a function of a, a being the ratio of the Lorentz width to the Gaussian width. We nd that, the Voigt function calculated with the expression we have obtained for , deviates from the exact value less than 0.5% with respect to the peak value.
Fil: Di Rocco, Hector Omar. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - Tandil. Sede Tandil del Centro de Investigaciones En Fisica E Ingenieria del Centro de la Provincia de Buenos Aires; Argentina
Fil: Cruzado, Alicia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Astrofísica La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas. Instituto de Astrofísica La Plata; Argentina
description Assuming that V (x) (1 ) G1(x) + L1(x) is a very good approximation of the Voigt function, in thiswork we analytically nd from mathematical properties of V (x). G1(x) and L1(x) represent a Gaussian and a Lorentzian function, respectively, with the same height and HWHM as V (x), the Voigt function, x being the distance from the function center. is obtained as a function of a, a being the ratio of the Lorentz width to the Gaussian width. We nd that, the Voigt function calculated with the expression we have obtained for , deviates from the exact value less than 0.5% with respect to the peak value.
publishDate 2012
dc.date.none.fl_str_mv 2012-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/269582
Di Rocco, Hector Omar; Cruzado, Alicia; The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio; Polish Academy of Sciences. Institute of Physics; Acta Physica Polonica A; 122; 4; 10-2012; 666-669
1898-794X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/269582
identifier_str_mv Di Rocco, Hector Omar; Cruzado, Alicia; The Voigt profile as a sum of a Gaussian and a Lorentzian functions, when the weight coeficient depends only on the widths ratio; Polish Academy of Sciences. Institute of Physics; Acta Physica Polonica A; 122; 4; 10-2012; 666-669
1898-794X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://przyrbwn.icm.edu.pl/APP/apphome.html
info:eu-repo/semantics/altIdentifier/url/http://przyrbwn.icm.edu.pl/APP/PDF/122/a122z4p05.pdf
info:eu-repo/semantics/altIdentifier/url/http://przyrbwn.icm.edu.pl/APP/SPIS/a122-4.html
info:eu-repo/semantics/altIdentifier/doi/10.12693/APhysPolA.122.666
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Polish Academy of Sciences. Institute of Physics
publisher.none.fl_str_mv Polish Academy of Sciences. Institute of Physics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.22299

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