| dc.contributor | GABRIEL CONSTANTINO MARTINEZ NICONOFF | |
| dc.creator | JAVIER SILVA BARRANCO | |
| dc.date | 2015-06 | |
| dc.date.accessioned | 2023-07-25T16:20:56Z | |
| dc.date.available | 2023-07-25T16:20:56Z | |
| dc.identifier | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/127 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7805348 | |
| dc.description | In the present thesis we perform the study of the optical field generated by diffraction, interpreting
the phase function as a catastrophe function. As prototype structure, we use plane
transmittances of kind slit shape curve. The coherent illumination of the slit transmittance generates
focusing regions as a consequence of the curvature function. We show that the topology
of the diffraction field may present regions with different phase values separated by the focusing
region. The spatial propagation of the optical field is studied by means of numerical solution to
the paraxial Helmholtz equation.
The study is extended to describe the diffraction field of 3-D slit transmittances. The mathematical
description is implemented using the Frenet-Serret equations. The diffraction field
is separated in three optical fields, which they are obtained through the projection on three
mutually perpendicular planes known as: osculating, normal and rectifying. The analysis is
determined using as parameters the curvature and torsion of the curve.
An application of the model performed is used to describe the singularities on surface plasmon
fields whose representation is given in terms of Airy and Pearcey functions.
Finally, the study of the optical singularities allows us to describe some physical properties
such as the bifurcation effects and optical vortexes. The experimental results corroborates the
theoretical prediction. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Instituto Nacional de Astrofísica, Óptica y Electrónica | |
| dc.relation | citation:Silva-Barranco J. | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | info:eu-repo/classification/Singularidades ópticas/Optical singularities | |
| dc.subject | info:eu-repo/classification/Catástrofes por difracción/Diffraction catastrophes | |
| dc.subject | info:eu-repo/classification/Transmisiones/Slit transmittances | |
| dc.subject | info:eu-repo/classification/Región de enfoque/Focusing region | |
| dc.subject | info:eu-repo/classification/cti/1 | |
| dc.subject | info:eu-repo/classification/cti/22 | |
| dc.subject | info:eu-repo/classification/cti/2209 | |
| dc.subject | info:eu-repo/classification/cti/2209 | |
| dc.title | Generation of optical singular regions and analysis of its physical properties | |
| dc.type | info:eu-repo/semantics/doctoralThesis | |
| dc.audience | generalPublic | |
