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: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| País: | Colombia |
| Institución: | Universidad de Antioquia |
| Repositorio: | Repositorio UdeA |
| Idioma: | inglés |
| OAI Identifier: | oai:bibliotecadigital.udea.edu.co:10495/9331 |
| Acceso en línea: | http://hdl.handle.net/10495/9331 |
| Access Level: | acceso abierto |
| Palabra clave: | Diferencias finitas Finite differences Procesamiento de imágenes Image processing Efecto talbot Talbot effect Difracción Diffraction Imagen |
| Sumario: | 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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