On the accuracy of the perturbative approach for strong lensing : local distortion for pseudo-elliptical models

Detalhes bibliográficos
Autor(a) principal: Dúmet-Montoya, Habib S.
Data de Publicação: 2013
Outros Autores: Caminha, Gabriel Bartosch, Moraes, Bruno Azevedo Lemos, Makler, Martín, Gill, Mandeep S. S., Santiago, Basilio Xavier
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/93388
Resumo: The perturbative approach (PA) introduced by Alard provides analytic solutions for gravitational arcs by solving the lens equation linearized around the Einstein ring solution. This is a powerful method for lens inversion and simulations in which it can be used, in principle, for generic lens models. In this paper, we aim to quantify the domain of validity of this method for three quantities derived from the linearized mapping: caustics, critical curves and the deformation cross-section (i.e. the arc cross-section in the infinitesimal circular source approximation). We consider lens models with elliptical potentials, in particular the singular isothermal elliptic potential and pseudo-elliptical Navarro–Frenk–White models. We show that the PA is exact for this first model. For the second, we obtain constraints on the model parameter space (given by the potential ellipticity parameter ε and characteristic convergence κs) such that the PA is accurate for the aforementioned quantities. In this process, we obtain analytic expressions for several lensing functions, which are valid for the PA in general. The determination of this domain of validity could have significant implications for the use of the PA, but it still needs to be probed with extended sources.
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spelling Dúmet-Montoya, Habib S.Caminha, Gabriel BartoschMoraes, Bruno Azevedo LemosMakler, MartínGill, Mandeep S. S.Santiago, Basilio Xavier2014-04-13T01:50:00Z20130035-8711http://hdl.handle.net/10183/93388000903105The perturbative approach (PA) introduced by Alard provides analytic solutions for gravitational arcs by solving the lens equation linearized around the Einstein ring solution. This is a powerful method for lens inversion and simulations in which it can be used, in principle, for generic lens models. In this paper, we aim to quantify the domain of validity of this method for three quantities derived from the linearized mapping: caustics, critical curves and the deformation cross-section (i.e. the arc cross-section in the infinitesimal circular source approximation). We consider lens models with elliptical potentials, in particular the singular isothermal elliptic potential and pseudo-elliptical Navarro–Frenk–White models. We show that the PA is exact for this first model. For the second, we obtain constraints on the model parameter space (given by the potential ellipticity parameter ε and characteristic convergence κs) such that the PA is accurate for the aforementioned quantities. In this process, we obtain analytic expressions for several lensing functions, which are valid for the PA in general. The determination of this domain of validity could have significant implications for the use of the PA, but it still needs to be probed with extended sources.application/pdfengMonthly notices of the royal astronomical society. Oxford. Vol. 433, no. 4 (Aug. 2013), p. 2975-2985GaláxiasMatéria escuraLentes gravitacionaisGravitational lensing: strongGalaxies: clusters: generalDark matterOn the accuracy of the perturbative approach for strong lensing : local distortion for pseudo-elliptical modelsEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000903105.pdf000903105.pdfTexto completo (inglês)application/pdf623389http://www.lume.ufrgs.br/bitstream/10183/93388/1/000903105.pdf3a1a15f892124c794da9bbf77afb1c3fMD51TEXT000903105.pdf.txt000903105.pdf.txtExtracted Texttext/plain53303http://www.lume.ufrgs.br/bitstream/10183/93388/2/000903105.pdf.txt1df072700a41834ecf17f959ab055144MD52THUMBNAIL000903105.pdf.jpg000903105.pdf.jpgGenerated Thumbnailimage/jpeg2244http://www.lume.ufrgs.br/bitstream/10183/93388/3/000903105.pdf.jpg835eec87c70f2d65b93041b20a1bd983MD5310183/933882023-07-04 03:52:44.181078oai:www.lume.ufrgs.br:10183/93388Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-07-04T06:52:44Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv On the accuracy of the perturbative approach for strong lensing : local distortion for pseudo-elliptical models
title On the accuracy of the perturbative approach for strong lensing : local distortion for pseudo-elliptical models
spellingShingle On the accuracy of the perturbative approach for strong lensing : local distortion for pseudo-elliptical models
Dúmet-Montoya, Habib S.
Galáxias
Matéria escura
Lentes gravitacionais
Gravitational lensing: strong
Galaxies: clusters: general
Dark matter
title_short On the accuracy of the perturbative approach for strong lensing : local distortion for pseudo-elliptical models
title_full On the accuracy of the perturbative approach for strong lensing : local distortion for pseudo-elliptical models
title_fullStr On the accuracy of the perturbative approach for strong lensing : local distortion for pseudo-elliptical models
title_full_unstemmed On the accuracy of the perturbative approach for strong lensing : local distortion for pseudo-elliptical models
title_sort On the accuracy of the perturbative approach for strong lensing : local distortion for pseudo-elliptical models
author Dúmet-Montoya, Habib S.
author_facet Dúmet-Montoya, Habib S.
Caminha, Gabriel Bartosch
Moraes, Bruno Azevedo Lemos
Makler, Martín
Gill, Mandeep S. S.
Santiago, Basilio Xavier
author_role author
author2 Caminha, Gabriel Bartosch
Moraes, Bruno Azevedo Lemos
Makler, Martín
Gill, Mandeep S. S.
Santiago, Basilio Xavier
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Dúmet-Montoya, Habib S.
Caminha, Gabriel Bartosch
Moraes, Bruno Azevedo Lemos
Makler, Martín
Gill, Mandeep S. S.
Santiago, Basilio Xavier
dc.subject.por.fl_str_mv Galáxias
Matéria escura
Lentes gravitacionais
topic Galáxias
Matéria escura
Lentes gravitacionais
Gravitational lensing: strong
Galaxies: clusters: general
Dark matter
dc.subject.eng.fl_str_mv Gravitational lensing: strong
Galaxies: clusters: general
Dark matter
description The perturbative approach (PA) introduced by Alard provides analytic solutions for gravitational arcs by solving the lens equation linearized around the Einstein ring solution. This is a powerful method for lens inversion and simulations in which it can be used, in principle, for generic lens models. In this paper, we aim to quantify the domain of validity of this method for three quantities derived from the linearized mapping: caustics, critical curves and the deformation cross-section (i.e. the arc cross-section in the infinitesimal circular source approximation). We consider lens models with elliptical potentials, in particular the singular isothermal elliptic potential and pseudo-elliptical Navarro–Frenk–White models. We show that the PA is exact for this first model. For the second, we obtain constraints on the model parameter space (given by the potential ellipticity parameter ε and characteristic convergence κs) such that the PA is accurate for the aforementioned quantities. In this process, we obtain analytic expressions for several lensing functions, which are valid for the PA in general. The determination of this domain of validity could have significant implications for the use of the PA, but it still needs to be probed with extended sources.
publishDate 2013
dc.date.issued.fl_str_mv 2013
dc.date.accessioned.fl_str_mv 2014-04-13T01:50:00Z
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dc.relation.ispartof.pt_BR.fl_str_mv Monthly notices of the royal astronomical society. Oxford. Vol. 433, no. 4 (Aug. 2013), p. 2975-2985
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