A method to produce arbitrary axial fields of light by means of diffractive optical elements
In several areas of applied physics there is an interest in controlling the shape that a field of light takes as it propagates through space. The classical theory of diffraction allows the prediction of what happens to a wavefront when it passes through an element that obstructs it, something that is...
| Autor: | |
|---|---|
| Tipo de recurso: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | México |
| Institución: | Centro de Investigación Científica y de Educación Superior de Ensenada |
| Repositorio: | Repositorio Institucional CICESE |
| Idioma: | inglés |
| OAI Identifier: | oai:cicese.repositorioinstitucional.mx:1007/3377 |
| Acceso en línea: | http://cicese.repositorioinstitucional.mx/jspui/handle/1007/3377 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Autor/Diffraction, diffractive optical elements, Fourier optics info:eu-repo/classification/Autor/Difracción, elementos ópticos difrangentes, óptica de Fourier info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2209 info:eu-repo/classification/cti/220919 |
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A method to produce arbitrary axial fields of light by means of diffractive optical elementsMétodo para producir campos axiales de luz arbitrarios mediante elementos ópticos difrangentesVICTOR MANUEL RICO BOTEROinfo:eu-repo/classification/Autor/Diffraction, diffractive optical elements, Fourier opticsinfo:eu-repo/classification/Autor/Difracción, elementos ópticos difrangentes, óptica de Fourierinfo:eu-repo/classification/cti/1info:eu-repo/classification/cti/22info:eu-repo/classification/cti/2209info:eu-repo/classification/cti/220919info:eu-repo/classification/cti/220919In several areas of applied physics there is an interest in controlling the shape that a field of light takes as it propagates through space. The classical theory of diffraction allows the prediction of what happens to a wavefront when it passes through an element that obstructs it, something that is very useful to make “ drawings ” with light that can be projected on a single plane transverse to the propagation axis. Between contiguous planes, in contrast, the distribution of the light field varies according to the intrinsic properties of the wavefront, which limits its control. However, an adequate mathematical treatment of the interference produced along an axis by the effect of the diffraction of an azimuthally symmetric mask, allows the determination that there is furthermore a Fourier transformation relationship between the field distributions along the radii of the mask and the axis of propagation. It is a relationship that is not entirely evident in a first reading because the variables of the transformed pairs are linear in one domain and quadratic in the other, but with a bit of effort it is possible to manipulate them. In this work the arguments, the context, an interpretation and a set of experiments around this topic are discussed.En diversas áreas de la física aplicada existe un interés por controlar la forma que adopta un campo de luz cuando se propaga a través del espacio. La teoría clásica de la difracción permite predecir lo que le ocurre a un frente de onda cuando pasa a través de un elemento que lo obstaculiza, algo que resulta muy útil para hacer “dibujos” con luz que se puedan proyectar sobre un único plano transversal al eje de propagación. Entre planos contiguos, en contraste, la distribución del campo de luz varía de acuerdo a las propiedades intrínsecas del frente de onda, lo que limita su control. Sin embargo un tratamiento matemático adecuado de la interferencia producida a lo largo de un eje por efecto de la difracción de una mascarilla acimutalmente simétrica permite determinar que existe, además, una relación de transformación de Fourier entre las distribuciones de campo a lo largo de los radios de la mascarilla y del eje de propagación. Es una relación que no resulta del todo evidente en una primera lectura debido que las variables de los pares transformados son lineales en un dominio y cuadráticos en el otro, pero con ingenio es posible manipularlas. En este trabajo se discuten los argumentos, el contexto, una interpretación y un juego de experimentos en torno a este tema.PEDRO NEGRETE REGAGNON2020info:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://cicese.repositorioinstitucional.mx/jspui/handle/1007/3377reponame:Repositorio Institucional CICESEinstname:Centro de Investigación Científica y de Educación Superior de Ensenadainstacron:CICESEengcitation:Rico Botero, V.M. 2020. A method to produce arbitrary axial fields of light by means of diffractive optical elements. Tesis de Doctorado en Ciencias. Centro de Investigación Científica y de Educación Superior de Ensenada, Baja California. 85 pp.info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0oai:cicese.repositorioinstitucional.mx:1007/33772024-08-28T03:50:08Z |
| dc.title.none.fl_str_mv |
A method to produce arbitrary axial fields of light by means of diffractive optical elements Método para producir campos axiales de luz arbitrarios mediante elementos ópticos difrangentes |
| title |
A method to produce arbitrary axial fields of light by means of diffractive optical elements |
| spellingShingle |
A method to produce arbitrary axial fields of light by means of diffractive optical elements VICTOR MANUEL RICO BOTERO info:eu-repo/classification/Autor/Diffraction, diffractive optical elements, Fourier optics info:eu-repo/classification/Autor/Difracción, elementos ópticos difrangentes, óptica de Fourier info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2209 info:eu-repo/classification/cti/220919 info:eu-repo/classification/cti/220919 |
| title_short |
A method to produce arbitrary axial fields of light by means of diffractive optical elements |
| title_full |
A method to produce arbitrary axial fields of light by means of diffractive optical elements |
| title_fullStr |
A method to produce arbitrary axial fields of light by means of diffractive optical elements |
| title_full_unstemmed |
A method to produce arbitrary axial fields of light by means of diffractive optical elements |
| title_sort |
A method to produce arbitrary axial fields of light by means of diffractive optical elements |
| dc.creator.none.fl_str_mv |
VICTOR MANUEL RICO BOTERO |
| author |
VICTOR MANUEL RICO BOTERO |
| author_facet |
VICTOR MANUEL RICO BOTERO |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
PEDRO NEGRETE REGAGNON |
| dc.subject.none.fl_str_mv |
info:eu-repo/classification/Autor/Diffraction, diffractive optical elements, Fourier optics info:eu-repo/classification/Autor/Difracción, elementos ópticos difrangentes, óptica de Fourier info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2209 info:eu-repo/classification/cti/220919 info:eu-repo/classification/cti/220919 |
| topic |
info:eu-repo/classification/Autor/Diffraction, diffractive optical elements, Fourier optics info:eu-repo/classification/Autor/Difracción, elementos ópticos difrangentes, óptica de Fourier info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2209 info:eu-repo/classification/cti/220919 info:eu-repo/classification/cti/220919 |
| description |
In several areas of applied physics there is an interest in controlling the shape that a field of light takes as it propagates through space. The classical theory of diffraction allows the prediction of what happens to a wavefront when it passes through an element that obstructs it, something that is very useful to make “ drawings ” with light that can be projected on a single plane transverse to the propagation axis. Between contiguous planes, in contrast, the distribution of the light field varies according to the intrinsic properties of the wavefront, which limits its control. However, an adequate mathematical treatment of the interference produced along an axis by the effect of the diffraction of an azimuthally symmetric mask, allows the determination that there is furthermore a Fourier transformation relationship between the field distributions along the radii of the mask and the axis of propagation. It is a relationship that is not entirely evident in a first reading because the variables of the transformed pairs are linear in one domain and quadratic in the other, but with a bit of effort it is possible to manipulate them. In this work the arguments, the context, an interpretation and a set of experiments around this topic are discussed. |
| publishDate |
2020 |
| dc.date.none.fl_str_mv |
2020 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/doctoralThesis info:eu-repo/semantics/publishedVersion |
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doctoralThesis |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://cicese.repositorioinstitucional.mx/jspui/handle/1007/3377 |
| url |
http://cicese.repositorioinstitucional.mx/jspui/handle/1007/3377 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
citation:Rico Botero, V.M. 2020. A method to produce arbitrary axial fields of light by means of diffractive optical elements. Tesis de Doctorado en Ciencias. Centro de Investigación Científica y de Educación Superior de Ensenada, Baja California. 85 pp. |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0 |
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openAccess |
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http://creativecommons.org/licenses/by/4.0 |
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application/pdf |
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reponame:Repositorio Institucional CICESE instname:Centro de Investigación Científica y de Educación Superior de Ensenada instacron:CICESE |
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