On the accuracy of the perturbative approach for strong lensing : local distortion for pseudo-elliptical models
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , , , , |
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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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 |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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article |
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publishedVersion |
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http://hdl.handle.net/10183/93388 |
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0035-8711 |
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000903105 |
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http://hdl.handle.net/10183/93388 |
dc.language.iso.fl_str_mv |
eng |
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eng |
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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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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