The optical properties of pyramidal prisms with applications in the generation of structured light

This thesis presents a numerical study of the structured light produced by a laser beam transmitted by a symmetric pyramidal prism. From the Fresnel formulation, expressions are obtained for the diffracted amplitudes that are valid for an arbitrary number of prism faces for both acute and flat-toppe...

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Detalhes bibliográficos
Autor: CARLOS IVAN OCHOA GUERRERO
Formato: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2022
País:México
Recursos:Centro de Investigación Científica y de Educación Superior de Ensenada
Repositorio:Repositorio Institucional CICESE
Idioma:inglés
OAI Identifier:oai:cicese.repositorioinstitucional.mx:1007/3752
Acesso em linha:http://cicese.repositorioinstitucional.mx/jspui/handle/1007/3752
Access Level:acceso abierto
Palavra-chave:info:eu-repo/classification/autor/Structured Light, Pyramidal Prisms, Fresnel Diffraction
info:eu-repo/classification/autor/Luz estructurada, Prismas Priamidales, Difracción de Fresnel
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/22
info:eu-repo/classification/cti/2209
info:eu-repo/classification/cti/220919
id MX_eb2b9b64d6cb3b738deb210e98fb28bb
oai_identifier_str oai:cicese.repositorioinstitucional.mx:1007/3752
network_acronym_str MX
network_name_str México
repository_id_str
dc.title.none.fl_str_mv The optical properties of pyramidal prisms with applications in the generation of structured light
Las propiedades ópticas de prismas piramidales con aplicaciones en la generación de luz estructurada
title The optical properties of pyramidal prisms with applications in the generation of structured light
spellingShingle The optical properties of pyramidal prisms with applications in the generation of structured light
CARLOS IVAN OCHOA GUERRERO
info:eu-repo/classification/autor/Structured Light, Pyramidal Prisms, Fresnel Diffraction
info:eu-repo/classification/autor/Luz estructurada, Prismas Priamidales, Difracción de Fresnel
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 The optical properties of pyramidal prisms with applications in the generation of structured light
title_full The optical properties of pyramidal prisms with applications in the generation of structured light
title_fullStr The optical properties of pyramidal prisms with applications in the generation of structured light
title_full_unstemmed The optical properties of pyramidal prisms with applications in the generation of structured light
title_sort The optical properties of pyramidal prisms with applications in the generation of structured light
dc.creator.none.fl_str_mv CARLOS IVAN OCHOA GUERRERO
author CARLOS IVAN OCHOA GUERRERO
author_facet CARLOS IVAN OCHOA GUERRERO
author_role author
dc.contributor.none.fl_str_mv Kevin Arthur O'Donnell
dc.subject.none.fl_str_mv info:eu-repo/classification/autor/Structured Light, Pyramidal Prisms, Fresnel Diffraction
info:eu-repo/classification/autor/Luz estructurada, Prismas Priamidales, Difracción de Fresnel
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/Structured Light, Pyramidal Prisms, Fresnel Diffraction
info:eu-repo/classification/autor/Luz estructurada, Prismas Priamidales, Difracción de Fresnel
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 This thesis presents a numerical study of the structured light produced by a laser beam transmitted by a symmetric pyramidal prism. From the Fresnel formulation, expressions are obtained for the diffracted amplitudes that are valid for an arbitrary number of prism faces for both acute and flat-topped prisms. These expressions are readily evaluated numerically and are a significant advancement over the restrictive discrete plane wave models used in prior works. The distribution of intensity of the diffracted light is studied for a wide range of prism parameters, and the unitarity of Fresnel integrals allows the determination of the efficiency of the intensity structures produced, which is not possible with the plane wave model. While most of the results presented to consider a Gaussian laser beam illuminating the prism, it is demonstrated that the theory may be readily extended to higher-order laser modes. Applications in optical trapping are considered, and examples are given in which the intensity distributions contain a number of bright spots with similar intensity, as could be suitable for the simultaneous trapping of several particles. Also considered are applications in lithography and, under other conditions, cases are presented that produce uniform periodic intensity patterns. The practical advantages of employing pyramidal prisms in such applications are their excellent stability and their efficiency in producing structured light.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/masterThesis
info:eu-repo/semantics/publishedVersion
format masterThesis
status_str publishedVersion
dc.identifier.none.fl_str_mv http://cicese.repositorioinstitucional.mx/jspui/handle/1007/3752
url http://cicese.repositorioinstitucional.mx/jspui/handle/1007/3752
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv citation:Ochoa Guerrero, C.A. 2022. The optical properties of pyramidal prisms with applications in the generation of structured light. Tesis de Doctorado en Ciencias. Centro de Investigación Científica y de Educación Superior de Ensenada, B.C. 50 pp.
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv CICESE
publisher.none.fl_str_mv CICESE
dc.source.none.fl_str_mv reponame:Repositorio Institucional CICESE
instname:Centro de Investigación Científica y de Educación Superior de Ensenada
instacron:CICESE
instname_str Centro de Investigación Científica y de Educación Superior de Ensenada
instacron_str CICESE
institution CICESE
reponame_str Repositorio Institucional CICESE
collection Repositorio Institucional CICESE
repository.name.fl_str_mv
repository.mail.fl_str_mv
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spelling The optical properties of pyramidal prisms with applications in the generation of structured lightLas propiedades ópticas de prismas piramidales con aplicaciones en la generación de luz estructuradaCARLOS IVAN OCHOA GUERREROinfo:eu-repo/classification/autor/Structured Light, Pyramidal Prisms, Fresnel Diffractioninfo:eu-repo/classification/autor/Luz estructurada, Prismas Priamidales, Difracción de Fresnelinfo:eu-repo/classification/cti/1info:eu-repo/classification/cti/22info:eu-repo/classification/cti/2209info:eu-repo/classification/cti/220919info:eu-repo/classification/cti/220919This thesis presents a numerical study of the structured light produced by a laser beam transmitted by a symmetric pyramidal prism. From the Fresnel formulation, expressions are obtained for the diffracted amplitudes that are valid for an arbitrary number of prism faces for both acute and flat-topped prisms. These expressions are readily evaluated numerically and are a significant advancement over the restrictive discrete plane wave models used in prior works. The distribution of intensity of the diffracted light is studied for a wide range of prism parameters, and the unitarity of Fresnel integrals allows the determination of the efficiency of the intensity structures produced, which is not possible with the plane wave model. While most of the results presented to consider a Gaussian laser beam illuminating the prism, it is demonstrated that the theory may be readily extended to higher-order laser modes. Applications in optical trapping are considered, and examples are given in which the intensity distributions contain a number of bright spots with similar intensity, as could be suitable for the simultaneous trapping of several particles. Also considered are applications in lithography and, under other conditions, cases are presented that produce uniform periodic intensity patterns. The practical advantages of employing pyramidal prisms in such applications are their excellent stability and their efficiency in producing structured light.En esta tesis se presenta un estudio numérico de la luz estructurada producida por un haz de luz transmitido por un prisma piramidal simétrico. Utilizando la difracción de Fresnel se obtienen expresiones para las amplitudes de la luz difractada, las cuales son válidas para prismas piramidales truncados o con terminación en pico con un número arbitrario de caras. Dichas expresiones son evaluadas fácilmente de manera numérica y representan un avance significativo sobre los trabajos anteriores que utilizan un modelo discreto de ondas planas. La distribución de la intensidad de la luz difractada es estudiada considerando un amplio rango de parámetros, y la eficiencia en la intensidad de las estructuras producidas es determinada debido a la unitaridad de las integrales de la difracción de Fresnel. Aunque en la mayoría de los resultados presentados se emplea un haz de luz láser Gausiano iluminando al prisma, también se demuestra como la teoría puede extenderse fácilmente a modos de luz láser de orden superior. Se consideran posibles aplicaciones en atrapamiento óptico y se dan ejemplos en los que se puede obtener un número de puntos brillantes con similar intensidad que pudiese servir para atrapar simultáneamente varias partículas. También se consideran posibles aplicaciones en litografía en donde, bajo otras condiciones, se pueden producir patrones de luz periódica uniforme. Las ventajas prácticas en el empleo de prismas piramidales para las aplicaciones mencionadas anteriormente son excelente estabilidad y la eficiencia en la luz estructurada producida.CICESEKevin Arthur O'Donnell2022info:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://cicese.repositorioinstitucional.mx/jspui/handle/1007/3752reponame:Repositorio Institucional CICESEinstname:Centro de Investigación Científica y de Educación Superior de Ensenadainstacron:CICESEengcitation:Ochoa Guerrero, C.A. 2022. The optical properties of pyramidal prisms with applications in the generation of structured light. Tesis de Doctorado en Ciencias. Centro de Investigación Científica y de Educación Superior de Ensenada, B.C. 50 pp.info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0oai:cicese.repositorioinstitucional.mx:1007/37522024-08-28T03:50:12Z
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