Talbot effect for periodical objects limited by finite apertures : a new interpretation
ABSTRACT: The paper presents a new interpretation of the Talbot effect for periodical objects limited by finite apertures. According to the proposed approach, a self-image of a real, finite object is a superposition of deformed images of an elementary cell. The singular elementary cell image is equi...
- Autores:
-
Barrera Ramírez, John Fredy
Henao Henao, Rodrigo
Jaroszewicz, Zbigniew
Kolodziejczyk, Andrzej
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2005
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/9331
- Acceso en línea:
- http://hdl.handle.net/10495/9331
- Palabra clave:
- Diferencias finitas
Finite differences
Procesamiento de imágenes
Image processing
Efecto talbot
Talbot effect
Difracción
Diffraction
Imagen
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 2.5 Colombia
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| dc.title.spa.fl_str_mv |
Talbot effect for periodical objects limited by finite apertures : a new interpretation |
| title |
Talbot effect for periodical objects limited by finite apertures : a new interpretation |
| spellingShingle |
Talbot effect for periodical objects limited by finite apertures : a new interpretation Diferencias finitas Finite differences Procesamiento de imágenes Image processing Efecto talbot Talbot effect Difracción Diffraction Imagen |
| title_short |
Talbot effect for periodical objects limited by finite apertures : a new interpretation |
| title_full |
Talbot effect for periodical objects limited by finite apertures : a new interpretation |
| title_fullStr |
Talbot effect for periodical objects limited by finite apertures : a new interpretation |
| title_full_unstemmed |
Talbot effect for periodical objects limited by finite apertures : a new interpretation |
| title_sort |
Talbot effect for periodical objects limited by finite apertures : a new interpretation |
| dc.creator.fl_str_mv |
Barrera Ramírez, John Fredy Henao Henao, Rodrigo Jaroszewicz, Zbigniew Kolodziejczyk, Andrzej |
| dc.contributor.author.none.fl_str_mv |
Barrera Ramírez, John Fredy Henao Henao, Rodrigo Jaroszewicz, Zbigniew Kolodziejczyk, Andrzej |
| dc.subject.none.fl_str_mv |
Diferencias finitas Finite differences Procesamiento de imágenes Image processing Efecto talbot Talbot effect Difracción Diffraction Imagen |
| topic |
Diferencias finitas Finite differences Procesamiento de imágenes Image processing Efecto talbot Talbot effect Difracción Diffraction Imagen |
| description |
ABSTRACT: The paper presents a new interpretation of the Talbot effect for periodical objects limited by finite apertures. According to the proposed approach, a self-image of a real, finite object is a superposition of deformed images of an elementary cell. The singular elementary cell image is equivalent to that formed in a proper optical system. Two possible optical arrangements are discussed. The theoretical description makes possible to define a structure of selfimages. Particularly, the approach enables a determination of apertures’ dimensions, which lead to self-images of a reasonable quality in a desired region of an image plane. The theory is illustrated and verified by numerical simulations. |
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2005 |
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2005 |
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2018-04-05T21:12:13Z |
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2018-04-05T21:12:13Z |
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info:eu-repo/semantics/article |
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Artículo de investigación |
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Barrera Ramírez, J. F., Henao Henao, R., Jaroszewicz, Z., & Kolodziejczyk, A. (2005). Talbot effect for periodical objects limited by finite apertures: a new interpretation. Optik. 116(3), 144-148. DOI:10.1016/j.ijleo.2004.12.008 |
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1618-1336 |
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http://hdl.handle.net/10495/9331 |
| dc.identifier.doi.none.fl_str_mv |
10.1016/j.ijleo.2004.12.008 |
| identifier_str_mv |
Barrera Ramírez, J. F., Henao Henao, R., Jaroszewicz, Z., & Kolodziejczyk, A. (2005). Talbot effect for periodical objects limited by finite apertures: a new interpretation. Optik. 116(3), 144-148. DOI:10.1016/j.ijleo.2004.12.008 1618-1336 10.1016/j.ijleo.2004.12.008 |
| url |
http://hdl.handle.net/10495/9331 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
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Atribución-NoComercial-SinDerivadas 2.5 Colombia |
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info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by-nc-nd/2.5/co/ |
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https://creativecommons.org/licenses/by-nc-nd/4.0/ |
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Atribución-NoComercial-SinDerivadas 2.5 Colombia http://creativecommons.org/licenses/by-nc-nd/2.5/co/ http://purl.org/coar/access_right/c_abf2 https://creativecommons.org/licenses/by-nc-nd/4.0/ |
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openAccess |
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application/pdf |
| dc.publisher.spa.fl_str_mv |
Elsevier |
| dc.publisher.group.spa.fl_str_mv |
Grupo de Optica y Fotónica |
| dc.publisher.place.spa.fl_str_mv |
Alemania |
| institution |
Universidad de Antioquia |
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Barrera Ramírez, John FredyHenao Henao, RodrigoJaroszewicz, ZbigniewKolodziejczyk, Andrzej2018-04-05T21:12:13Z2018-04-05T21:12:13Z2005Barrera Ramírez, J. F., Henao Henao, R., Jaroszewicz, Z., & Kolodziejczyk, A. (2005). Talbot effect for periodical objects limited by finite apertures: a new interpretation. Optik. 116(3), 144-148. DOI:10.1016/j.ijleo.2004.12.0081618-1336http://hdl.handle.net/10495/933110.1016/j.ijleo.2004.12.008ABSTRACT: The paper presents a new interpretation of the Talbot effect for periodical objects limited by finite apertures. According to the proposed approach, a self-image of a real, finite object is a superposition of deformed images of an elementary cell. The singular elementary cell image is equivalent to that formed in a proper optical system. Two possible optical arrangements are discussed. The theoretical description makes possible to define a structure of selfimages. Particularly, the approach enables a determination of apertures’ dimensions, which lead to self-images of a reasonable quality in a desired region of an image plane. The theory is illustrated and verified by numerical simulations.application/pdfengElsevierGrupo de Optica y FotónicaAlemaniainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85Atribución-NoComercial-SinDerivadas 2.5 Colombiainfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-nd/4.0/Diferencias finitasFinite differencesProcesamiento de imágenesImage processingEfecto talbotTalbot effectDifracciónDiffractionImagenTalbot effect for periodical objects limited by finite apertures : a new interpretationOptik1441481163CC-LICENSElicense_urllicense_urlArtículo de investigacióntext/plain; charset=utf-849http://bibliotecadigital.udea.edu.co/bitstream/10495/9331/2/license_url4afdbb8c545fd630ea7db775da747b2fMD52license_textlicense_texttext/html; charset=utf-80http://bibliotecadigital.udea.edu.co/bitstream/10495/9331/3/license_textd41d8cd98f00b204e9800998ecf8427eMD53license_rdflicense_rdfLicenciaapplication/rdf+xml; charset=utf-80http://bibliotecadigital.udea.edu.co/bitstream/10495/9331/4/license_rdfd41d8cd98f00b204e9800998ecf8427eMD54ORIGINALBarreraJohn_2005_TalbotEffectObjects.pdfBarreraJohn_2005_TalbotEffectObjects.pdfArtículo de investigaciónapplication/pdf444470http://bibliotecadigital.udea.edu.co/bitstream/10495/9331/1/BarreraJohn_2005_TalbotEffectObjects.pdf7116a83fa7952807f6a913badfaaaffaMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://bibliotecadigital.udea.edu.co/bitstream/10495/9331/5/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5510495/9331oai:bibliotecadigital.udea.edu.co:10495/93312021-05-16 11:44:03.528Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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 |