Fractal bodies invisible in 2 and 3 directions

Detalhes bibliográficos
Autor(a) principal: Plakhov, Alexander
Data de Publicação: 2013
Outros Autores: Roshchina, Vera
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15146
Resumo: We study the problem of invisibility for bodies with a mirror surface in the framework of geometrical optics. We show that for any two given directions it is possible to construct a two-dimensional fractal body invisible in these directions. Moreover, there exists a three-dimensional fractal body invisible in three orthogonal directions. The work continues the previous study in [1, 12], where two-dimensional bodies invisible in one direction and three dimensional bodies invisible in one and two orthogonal directions were constructed.
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spelling Fractal bodies invisible in 2 and 3 directionsInvisibility in geometrical opticsProblems of minimal resistanceBilliardsWe study the problem of invisibility for bodies with a mirror surface in the framework of geometrical optics. We show that for any two given directions it is possible to construct a two-dimensional fractal body invisible in these directions. Moreover, there exists a three-dimensional fractal body invisible in three orthogonal directions. The work continues the previous study in [1, 12], where two-dimensional bodies invisible in one direction and three dimensional bodies invisible in one and two orthogonal directions were constructed.American Institute of Mathematical Sciences (AIMS)2016-02-04T18:18:04Z2013-04-01T00:00:00Z2013-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15146eng1078-094710.3934/dcds.2013.33.1615Plakhov, AlexanderRoshchina, Verainfo: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:RCAAP2024-02-22T11:27:56Zoai:ria.ua.pt:10773/15146Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:34.029995Repositório 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 Fractal bodies invisible in 2 and 3 directions
title Fractal bodies invisible in 2 and 3 directions
spellingShingle Fractal bodies invisible in 2 and 3 directions
Plakhov, Alexander
Invisibility in geometrical optics
Problems of minimal resistance
Billiards
title_short Fractal bodies invisible in 2 and 3 directions
title_full Fractal bodies invisible in 2 and 3 directions
title_fullStr Fractal bodies invisible in 2 and 3 directions
title_full_unstemmed Fractal bodies invisible in 2 and 3 directions
title_sort Fractal bodies invisible in 2 and 3 directions
author Plakhov, Alexander
author_facet Plakhov, Alexander
Roshchina, Vera
author_role author
author2 Roshchina, Vera
author2_role author
dc.contributor.author.fl_str_mv Plakhov, Alexander
Roshchina, Vera
dc.subject.por.fl_str_mv Invisibility in geometrical optics
Problems of minimal resistance
Billiards
topic Invisibility in geometrical optics
Problems of minimal resistance
Billiards
description We study the problem of invisibility for bodies with a mirror surface in the framework of geometrical optics. We show that for any two given directions it is possible to construct a two-dimensional fractal body invisible in these directions. Moreover, there exists a three-dimensional fractal body invisible in three orthogonal directions. The work continues the previous study in [1, 12], where two-dimensional bodies invisible in one direction and three dimensional bodies invisible in one and two orthogonal directions were constructed.
publishDate 2013
dc.date.none.fl_str_mv 2013-04-01T00:00:00Z
2013-04
2016-02-04T18:18:04Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/15146
url http://hdl.handle.net/10773/15146
dc.language.iso.fl_str_mv eng
language eng
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10.3934/dcds.2013.33.1615
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dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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