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...

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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
Description
Summary: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.