A double parabola with retroreflection properties

Detalhes bibliográficos
Autor(a) principal: Gouveia, Paulo D.F.
Data de Publicação: 2009
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10198/1964
Resumo: This Demonstration shows the reflective behavior of a two-dimensional shape formed by similar arcs of two parabolas. An interesting and unexpected reflective behavior arises when this shape takes a specific configuration, with two parabolas of unit focal length. In this particular configuration it is found that, except for the rays with absolute value of the entry angle less than 19.47º, a ray emerges from the cavity with a trajectory that is nearly opposite to its entry trajectory. This characterizes a cavity with retroreflective behavior. Even in the case of trajectories with entry angle below 19.47º, the exit direction does not appear to vary greatly from the entry direction.
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spelling A double parabola with retroreflection propertiesBilliardsRetroreflectorThis Demonstration shows the reflective behavior of a two-dimensional shape formed by similar arcs of two parabolas. An interesting and unexpected reflective behavior arises when this shape takes a specific configuration, with two parabolas of unit focal length. In this particular configuration it is found that, except for the rays with absolute value of the entry angle less than 19.47º, a ray emerges from the cavity with a trajectory that is nearly opposite to its entry trajectory. This characterizes a cavity with retroreflective behavior. Even in the case of trajectories with entry angle below 19.47º, the exit direction does not appear to vary greatly from the entry direction.WolframBiblioteca Digital do IPBGouveia, Paulo D.F.2010-02-17T16:46:41Z20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/mathematicaimage/tiffhttp://hdl.handle.net/10198/1964engGouveia, Paulo D.F. (2009). A double parabola with retroreflection properties. The Wolfram Demonstrations Project.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-21T10:06:07Zoai:bibliotecadigital.ipb.pt:10198/1964Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:55:17.859758Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A double parabola with retroreflection properties
title A double parabola with retroreflection properties
spellingShingle A double parabola with retroreflection properties
Gouveia, Paulo D.F.
Billiards
Retroreflector
title_short A double parabola with retroreflection properties
title_full A double parabola with retroreflection properties
title_fullStr A double parabola with retroreflection properties
title_full_unstemmed A double parabola with retroreflection properties
title_sort A double parabola with retroreflection properties
author Gouveia, Paulo D.F.
author_facet Gouveia, Paulo D.F.
author_role author
dc.contributor.none.fl_str_mv Biblioteca Digital do IPB
dc.contributor.author.fl_str_mv Gouveia, Paulo D.F.
dc.subject.por.fl_str_mv Billiards
Retroreflector
topic Billiards
Retroreflector
description This Demonstration shows the reflective behavior of a two-dimensional shape formed by similar arcs of two parabolas. An interesting and unexpected reflective behavior arises when this shape takes a specific configuration, with two parabolas of unit focal length. In this particular configuration it is found that, except for the rays with absolute value of the entry angle less than 19.47º, a ray emerges from the cavity with a trajectory that is nearly opposite to its entry trajectory. This characterizes a cavity with retroreflective behavior. Even in the case of trajectories with entry angle below 19.47º, the exit direction does not appear to vary greatly from the entry direction.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
2010-02-17T16:46:41Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10198/1964
url http://hdl.handle.net/10198/1964
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Gouveia, Paulo D.F. (2009). A double parabola with retroreflection properties. The Wolfram Demonstrations Project.
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/mathematica
image/tiff
dc.publisher.none.fl_str_mv Wolfram
publisher.none.fl_str_mv Wolfram
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
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instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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