Green's functions for the wave, Helmholtz and Poisson equations in a two-dimensional boundless domain

Detalhes bibliográficos
Autor(a) principal: Couto,Roberto Toscano
Data de Publicação: 2013
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Brasileira de Ensino de Física (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000100004
Resumo: In this work, Green's functions for the two-dimensional wave, Helmholtz and Poisson equations are calculated in the entire plane domain by means of the two-dimensional Fourier transform. New procedures are provided for the evaluation of the improper double integrals related to the inverse Fourier transforms that furnish these Green's functions. The integrals are calculated by using contour integration in the complex plane. The method consists basically in applying the correct prescription for circumventing the real poles of the integrand as well as in using well-known integral representations of some Bessel functions.
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spelling Green's functions for the wave, Helmholtz and Poisson equations in a two-dimensional boundless domainGreen's functionHelmholtz equationtwo dimensionsIn this work, Green's functions for the two-dimensional wave, Helmholtz and Poisson equations are calculated in the entire plane domain by means of the two-dimensional Fourier transform. New procedures are provided for the evaluation of the improper double integrals related to the inverse Fourier transforms that furnish these Green's functions. The integrals are calculated by using contour integration in the complex plane. The method consists basically in applying the correct prescription for circumventing the real poles of the integrand as well as in using well-known integral representations of some Bessel functions.Sociedade Brasileira de Física2013-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000100004Revista Brasileira de Ensino de Física v.35 n.1 2013reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S1806-11172013000100004info:eu-repo/semantics/openAccessCouto,Roberto Toscanoeng2020-10-07T00:00:00Zoai:scielo:S1806-11172013000100004Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2020-10-07T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Green's functions for the wave, Helmholtz and Poisson equations in a two-dimensional boundless domain
title Green's functions for the wave, Helmholtz and Poisson equations in a two-dimensional boundless domain
spellingShingle Green's functions for the wave, Helmholtz and Poisson equations in a two-dimensional boundless domain
Couto,Roberto Toscano
Green's function
Helmholtz equation
two dimensions
title_short Green's functions for the wave, Helmholtz and Poisson equations in a two-dimensional boundless domain
title_full Green's functions for the wave, Helmholtz and Poisson equations in a two-dimensional boundless domain
title_fullStr Green's functions for the wave, Helmholtz and Poisson equations in a two-dimensional boundless domain
title_full_unstemmed Green's functions for the wave, Helmholtz and Poisson equations in a two-dimensional boundless domain
title_sort Green's functions for the wave, Helmholtz and Poisson equations in a two-dimensional boundless domain
author Couto,Roberto Toscano
author_facet Couto,Roberto Toscano
author_role author
dc.contributor.author.fl_str_mv Couto,Roberto Toscano
dc.subject.por.fl_str_mv Green's function
Helmholtz equation
two dimensions
topic Green's function
Helmholtz equation
two dimensions
description In this work, Green's functions for the two-dimensional wave, Helmholtz and Poisson equations are calculated in the entire plane domain by means of the two-dimensional Fourier transform. New procedures are provided for the evaluation of the improper double integrals related to the inverse Fourier transforms that furnish these Green's functions. The integrals are calculated by using contour integration in the complex plane. The method consists basically in applying the correct prescription for circumventing the real poles of the integrand as well as in using well-known integral representations of some Bessel functions.
publishDate 2013
dc.date.none.fl_str_mv 2013-03-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000100004
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000100004
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1806-11172013000100004
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Revista Brasileira de Ensino de Física v.35 n.1 2013
reponame:Revista Brasileira de Ensino de Física (Online)
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Revista Brasileira de Ensino de Física (Online)
collection Revista Brasileira de Ensino de Física (Online)
repository.name.fl_str_mv Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv ||marcio@sbfisica.org.br
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