Tunneling and Electromagnetic Scattering in the Open Elliptic Quantum Billiard

Hdl Handle:
http://hdl.handle.net/11285/572573
Title:
Tunneling and Electromagnetic Scattering in the Open Elliptic Quantum Billiard
Authors:
García Gracia, José H.
Issue Date:
01/05/2012
Abstract:
The study of open quantum billiards has gained popularity in the last decades, including dif? ferent common and uncommon geometries such as the circular and stadium billiards. We present an extensive analysis of the elliptic quantum billiard with hyperbolic channels. First we concentrate on quantum tunneling through an elliptic resonator-like structure, and we analyze three different variations of the system: the first configuration has horizontal channels, then we study the system with vertical leads, and finally we displace both channels by the same angle to gain a more general perspective. Next we study the vectorial scattering caused by the system for an incident TE polarized electric field. We analyze the same three physical configurations of the billiard, and the response of the Stokes polarization parameters to changes in the geometry of the system. We found that the quantum tunneling is very sensitive to changes in the parameters of the system, and we observed a standing-wave phenomenon inside the cavity of the billiard. Furthermore, we saw that the electromagnetic scattering of a vectorial field behaves smoothly when we change the geometry of the system, and no cir? culating polarization vortices were induced by the scattering for linearly polarized incident fields.
Keywords:
Tunneling; Electromagnetic Scattering; Open Elliptic Quantum Billiard; Te Polarized Electric Field
Degree Program:
Graduate Programs in Mechatronics and Information Technologies
Advisors:
Dr. Julio César Gutiérrez Vega
Committee Member / Sinodal:
Dr. RaÚl Ignacio Hernández Aranda; Dr. Servando López Aguayo; Dr. Rodolfo Rodríguez y Masegosa; Dr. Carlos López Mariscal
Degree Level:
Doctor of Philosophy in Information Technologies and Communications Major in Optics
School:
School Of Engineering Division Of Mechatronics And Information Technologies
Campus Program:
Campus Monterrey
Discipline:
Ingeniería y Ciencias Aplicadas / Engineering & Applied Sciences
Appears in Collections:
Ciencias Exactas

Full metadata record

DC FieldValue Language
dc.contributor.advisorDr. Julio César Gutiérrez Vegaes
dc.contributor.authorGarcía Gracia, José H.es
dc.date.accessioned2015-08-17T11:35:35Zen
dc.date.available2015-08-17T11:35:35Zen
dc.date.issued01/05/2012-
dc.identifier.urihttp://hdl.handle.net/11285/572573en
dc.description.abstractThe study of open quantum billiards has gained popularity in the last decades, including dif? ferent common and uncommon geometries such as the circular and stadium billiards. We present an extensive analysis of the elliptic quantum billiard with hyperbolic channels. First we concentrate on quantum tunneling through an elliptic resonator-like structure, and we analyze three different variations of the system: the first configuration has horizontal channels, then we study the system with vertical leads, and finally we displace both channels by the same angle to gain a more general perspective. Next we study the vectorial scattering caused by the system for an incident TE polarized electric field. We analyze the same three physical configurations of the billiard, and the response of the Stokes polarization parameters to changes in the geometry of the system. We found that the quantum tunneling is very sensitive to changes in the parameters of the system, and we observed a standing-wave phenomenon inside the cavity of the billiard. Furthermore, we saw that the electromagnetic scattering of a vectorial field behaves smoothly when we change the geometry of the system, and no cir? culating polarization vortices were induced by the scattering for linearly polarized incident fields.en
dc.language.isoenen
dc.rightsOpen Accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleTunneling and Electromagnetic Scattering in the Open Elliptic Quantum Billiarden
dc.typeTesis de Doctoradoes
thesis.degree.grantorInstituto Tecnológico y de Estudios Superiores de Monterreyes
thesis.degree.levelDoctor of Philosophy in Information Technologies and Communications Major in Opticsen
dc.contributor.committeememberDr. RaÚl Ignacio Hernández Arandaes
dc.contributor.committeememberDr. Servando López Aguayoes
dc.contributor.committeememberDr. Rodolfo Rodríguez y Masegosaes
dc.contributor.committeememberDr. Carlos López Mariscales
thesis.degree.disciplineSchool Of Engineering Division Of Mechatronics And Information Technologiesen
thesis.degree.nameGraduate Programs in Mechatronics and Information Technologiesen
dc.subject.keywordTunnelingen
dc.subject.keywordElectromagnetic Scatteringen
dc.subject.keywordOpen Elliptic Quantum Billiarden
dc.subject.keywordTe Polarized Electric Fielden
thesis.degree.programCampus Monterreyes
dc.subject.disciplineIngeniería y Ciencias Aplicadas / Engineering & Applied Scienceses
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