Fraccional Fourier transform in the case of an inclined image plane
The well-known Fresnel diffraction formula relates the distribution of complex amplitude of a wave in the object plane (input wave field) with the distribution of complex wave amplitude in the image plane (output wave field) when it comes to propagation in space free; This means that if the object a...
- Autores:
-
Torres, C O
Mattos, L
Jiménez, C
Castillo Pérez, Jaime
Torres, Y
- Tipo de recurso:
- Fecha de publicación:
- 2010
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- spa
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/14481
- Acceso en línea:
- http://hdl.handle.net/10784/14481
- Palabra clave:
- Fresnel Diffraction
Inclined Image Plane
Fractional Fourier Transform
Difracción De Fresnel
Plano Imagen Inclinado
Transformada Fraccional De Fourier
- Rights
- License
- Copyright (c) 2010 C O Torres, L Mattos, C Jiménez, Jaime Castillo Pérez, Y Torres
| id |
REPOEAFIT2_d0d54d6a4fc7bf3303269e445279c742 |
|---|---|
| oai_identifier_str |
oai:repository.eafit.edu.co:10784/14481 |
| network_acronym_str |
REPOEAFIT2 |
| network_name_str |
Repositorio EAFIT |
| repository_id_str |
|
| spelling |
Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2010-12-012019-11-22T19:01:24Z2010-12-012019-11-22T19:01:24Z2256-43141794-9165http://hdl.handle.net/10784/14481The well-known Fresnel diffraction formula relates the distribution of complex amplitude of a wave in the object plane (input wave field) with the distribution of complex wave amplitude in the image plane (output wave field) when it comes to propagation in space free; This means that if the object and image planes are parallel to each other, the corresponding image system is said to be a linear invariant displacement system (LSI). This advantageous property is essential for the development of phase sensitive imaging techniques; however, if the image plane is inclined with respect to the incident beam, the effective propagation distance will change over the image plane, consequently the image system will not be invariant to displacement. In this article, an extension of the Fresnel diffraction formalism to the case of an inclined image plane using the Fourier transform of fractional order is proposed.La conocida fórmula de difracción de Fresnel relaciona la distribución de amplitud compleja de una onda en el plano objeto (campo ondulatorio de entrada) con la distribución de amplitud compleja de la onda en el plano imagen(campo ondulatorio de salida) cuando se trata de propagación en el espaciolibre; esto significa que si los planos objeto e imagen son paralelos entre sí, el sistema imagen correspondiente se dice que es un sistema lineal invariantea desplazamiento (LSI). Esta propiedad ventajosa es esencial para el desarrollo de técnicas de imagen sensitivas a fase; sin embargo, si el plano imagen está inclinado con respecto al haz incidente, la distancia efectiva de propagación cambiará sobre el plano imagen, consecuentemente el sistema imagen será no invariante a desplazamiento. En este artículo es propuesta una extensión del formalismo de la difracción de Fresnel al caso de un plano imageninclinado utilizando la transformada de Fourier de orden fraccional.application/pdfspaUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/332http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/332Copyright (c) 2010 C O Torres, L Mattos, C Jiménez, Jaime Castillo Pérez, Y TorresAcceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 6, No 12 (2010)Fraccional Fourier transform in the case of an inclined image planeTransformada fraccional de Fourier en el caso de un plano imagen inclinadoarticleinfo:eu-repo/semantics/articlepublishedVersioninfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Fresnel DiffractionInclined Image PlaneFractional Fourier TransformDifracción De FresnelPlano Imagen InclinadoTransformada Fraccional De FourierTorres, C OMattos, LJiménez, CCastillo Pérez, JaimeTorres, YGrupo LOI, Universidad Popular del CesarGrupo LOI, Universidad Popular del CesarUniversidad de La GuajiraUniversidad de La GuajiraIngeniería y Ciencia6125164ing.cienc.THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/33f47ca9-fea3-46dd-aa0e-f1dc3b23ea0b/downloadda9b21a5c7e00c7f1127cef8e97035e0MD51ORIGINAL3.pdf3.pdfTexto completo PDFapplication/pdf208504https://repository.eafit.edu.co/bitstreams/8ba9ee3f-40d1-4ae0-be44-2ff0c475f552/download0485729b75e6f6691c12ffea74420e93MD52articulo.htmlarticulo.htmlTexto completo HTMLtext/html373https://repository.eafit.edu.co/bitstreams/73ab0a22-5091-4a3f-9540-3d8dff3395df/download7a5a74a50151f2c4a843f842537fdd90MD5310784/14481oai:repository.eafit.edu.co:10784/144812020-03-02 22:20:34.455open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co |
| dc.title.eng.fl_str_mv |
Fraccional Fourier transform in the case of an inclined image plane |
| dc.title.spa.fl_str_mv |
Transformada fraccional de Fourier en el caso de un plano imagen inclinado |
| title |
Fraccional Fourier transform in the case of an inclined image plane |
| spellingShingle |
Fraccional Fourier transform in the case of an inclined image plane Fresnel Diffraction Inclined Image Plane Fractional Fourier Transform Difracción De Fresnel Plano Imagen Inclinado Transformada Fraccional De Fourier |
| title_short |
Fraccional Fourier transform in the case of an inclined image plane |
| title_full |
Fraccional Fourier transform in the case of an inclined image plane |
| title_fullStr |
Fraccional Fourier transform in the case of an inclined image plane |
| title_full_unstemmed |
Fraccional Fourier transform in the case of an inclined image plane |
| title_sort |
Fraccional Fourier transform in the case of an inclined image plane |
| dc.creator.fl_str_mv |
Torres, C O Mattos, L Jiménez, C Castillo Pérez, Jaime Torres, Y |
| dc.contributor.author.spa.fl_str_mv |
Torres, C O Mattos, L Jiménez, C Castillo Pérez, Jaime Torres, Y |
| dc.contributor.affiliation.spa.fl_str_mv |
Grupo LOI, Universidad Popular del Cesar Grupo LOI, Universidad Popular del Cesar Universidad de La Guajira Universidad de La Guajira |
| dc.subject.keyword.eng.fl_str_mv |
Fresnel Diffraction Inclined Image Plane Fractional Fourier Transform |
| topic |
Fresnel Diffraction Inclined Image Plane Fractional Fourier Transform Difracción De Fresnel Plano Imagen Inclinado Transformada Fraccional De Fourier |
| dc.subject.keyword.spa.fl_str_mv |
Difracción De Fresnel Plano Imagen Inclinado Transformada Fraccional De Fourier |
| description |
The well-known Fresnel diffraction formula relates the distribution of complex amplitude of a wave in the object plane (input wave field) with the distribution of complex wave amplitude in the image plane (output wave field) when it comes to propagation in space free; This means that if the object and image planes are parallel to each other, the corresponding image system is said to be a linear invariant displacement system (LSI). This advantageous property is essential for the development of phase sensitive imaging techniques; however, if the image plane is inclined with respect to the incident beam, the effective propagation distance will change over the image plane, consequently the image system will not be invariant to displacement. In this article, an extension of the Fresnel diffraction formalism to the case of an inclined image plane using the Fourier transform of fractional order is proposed. |
| publishDate |
2010 |
| dc.date.issued.none.fl_str_mv |
2010-12-01 |
| dc.date.available.none.fl_str_mv |
2019-11-22T19:01:24Z |
| dc.date.accessioned.none.fl_str_mv |
2019-11-22T19:01:24Z |
| dc.date.none.fl_str_mv |
2010-12-01 |
| dc.type.eng.fl_str_mv |
article info:eu-repo/semantics/article publishedVersion info:eu-repo/semantics/publishedVersion |
| dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.local.spa.fl_str_mv |
Artículo |
| status_str |
publishedVersion |
| dc.identifier.issn.none.fl_str_mv |
2256-4314 1794-9165 |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/10784/14481 |
| identifier_str_mv |
2256-4314 1794-9165 |
| url |
http://hdl.handle.net/10784/14481 |
| dc.language.iso.spa.fl_str_mv |
spa |
| language |
spa |
| dc.relation.isversionof.none.fl_str_mv |
http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/332 |
| dc.relation.uri.none.fl_str_mv |
http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/332 |
| dc.rights.eng.fl_str_mv |
Copyright (c) 2010 C O Torres, L Mattos, C Jiménez, Jaime Castillo Pérez, Y Torres |
| dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
| dc.rights.local.spa.fl_str_mv |
Acceso abierto |
| rights_invalid_str_mv |
Copyright (c) 2010 C O Torres, L Mattos, C Jiménez, Jaime Castillo Pérez, Y Torres Acceso abierto http://purl.org/coar/access_right/c_abf2 |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.coverage.spatial.eng.fl_str_mv |
Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees |
| dc.publisher.spa.fl_str_mv |
Universidad EAFIT |
| dc.source.none.fl_str_mv |
instname:Universidad EAFIT reponame:Repositorio Institucional Universidad EAFIT |
| dc.source.spa.fl_str_mv |
Ingeniería y Ciencia; Vol 6, No 12 (2010) |
| instname_str |
Universidad EAFIT |
| institution |
Universidad EAFIT |
| reponame_str |
Repositorio Institucional Universidad EAFIT |
| collection |
Repositorio Institucional Universidad EAFIT |
| bitstream.url.fl_str_mv |
https://repository.eafit.edu.co/bitstreams/33f47ca9-fea3-46dd-aa0e-f1dc3b23ea0b/download https://repository.eafit.edu.co/bitstreams/8ba9ee3f-40d1-4ae0-be44-2ff0c475f552/download https://repository.eafit.edu.co/bitstreams/73ab0a22-5091-4a3f-9540-3d8dff3395df/download |
| bitstream.checksum.fl_str_mv |
da9b21a5c7e00c7f1127cef8e97035e0 0485729b75e6f6691c12ffea74420e93 7a5a74a50151f2c4a843f842537fdd90 |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositorio Institucional Universidad EAFIT |
| repository.mail.fl_str_mv |
repositorio@eafit.edu.co |
| _version_ |
1814110165972025344 |