The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio

Autores
Di Rocco, Héctor Oscar; Cruzado, Alicia
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Assuming that V (x) ≈ (1 − µ) G1(x) + µL1(x) is a very good approximation of the Voigt function, in this work we analytically find µ 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 fufind that, the Voigt function calculated with the expression we have obtained for µ, deviates from the exact value less than 0.5% with respect to the peak value.
Instituto de Astrofísica de La Plata
Materia
Física
Voigt function
Gaussian and a Lorentzian function
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:10915/128689

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spelling The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths RatioDi Rocco, Héctor OscarCruzado, AliciaFísicaVoigt functionGaussian and a Lorentzian functionAssuming that V (x) ≈ (1 − µ) G1(x) + µL1(x) is a very good approximation of the Voigt function, in this work we analytically find µ 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 fufind that, the Voigt function calculated with the expression we have obtained for µ, deviates from the exact value less than 0.5% with respect to the peak value.Instituto de Astrofísica de La Plata2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf666-669http://sedici.unlp.edu.ar/handle/10915/128689enginfo:eu-repo/semantics/altIdentifier/issn/0587-4246info:eu-repo/semantics/altIdentifier/issn/1898-794Xinfo:eu-repo/semantics/altIdentifier/doi/10.12693/aphyspola.122.666info: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:UNLP2025-09-03T11:02:59Zoai:sedici.unlp.edu.ar:10915/128689Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:02:59.701SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
title The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
spellingShingle The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
Di Rocco, Héctor Oscar
Física
Voigt function
Gaussian and a Lorentzian function
title_short The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
title_full The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
title_fullStr The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient 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 Coefficient Depends Only on the Widths Ratio
title_sort The Voigt Profile as a Sum of a Gaussian and a Lorentzian Functions, when the Weight Coefficient Depends Only on the Widths Ratio
dc.creator.none.fl_str_mv Di Rocco, Héctor Oscar
Cruzado, Alicia
author Di Rocco, Héctor Oscar
author_facet Di Rocco, Héctor Oscar
Cruzado, Alicia
author_role author
author2 Cruzado, Alicia
author2_role author
dc.subject.none.fl_str_mv Física
Voigt function
Gaussian and a Lorentzian function
topic Física
Voigt function
Gaussian and a Lorentzian function
dc.description.none.fl_txt_mv Assuming that V (x) ≈ (1 − µ) G1(x) + µL1(x) is a very good approximation of the Voigt function, in this work we analytically find µ 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 fufind that, the Voigt function calculated with the expression we have obtained for µ, deviates from the exact value less than 0.5% with respect to the peak value.
Instituto de Astrofísica de La Plata
description Assuming that V (x) ≈ (1 − µ) G1(x) + µL1(x) is a very good approximation of the Voigt function, in this work we analytically find µ 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 fufind that, the Voigt function calculated with the expression we have obtained for µ, deviates from the exact value less than 0.5% with respect to the peak value.
publishDate 2012
dc.date.none.fl_str_mv 2012
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/128689
url http://sedici.unlp.edu.ar/handle/10915/128689
dc.language.none.fl_str_mv eng
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info:eu-repo/semantics/altIdentifier/issn/1898-794X
info:eu-repo/semantics/altIdentifier/doi/10.12693/aphyspola.122.666
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
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rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
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666-669
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