Engineering structured light fields with Sturm – Liouville modal theory

dc.contributorSABINO CHAVEZ CERDA
dc.creatorJUAN PABLO TREVIÑO GUTIERREZ
dc.date2014-02
dc.date.accessioned2023-07-25T16:21:00Z
dc.date.available2023-07-25T16:21:00Z
dc.identifierhttp://inaoe.repositorioinstitucional.mx/jspui/handle/1009/160
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7805382
dc.descriptionIn this thesis, the Circular Bessel Functions are presented for the rst time, as an alternative to the classic Zernike Polynomials, to represent ophthalmic surfaces. It is shown that the Circular Bessel Functions overcome representation drawbacks that the Zernike Circle Polynomials, standard basis in Ophthalmic Optics, exhibit in certain cases of clinical importance. We explain the general mathematical context of modal theory in two dimensional domains and present applications to the field of vision, astronomy and optical traps.
dc.formatapplication/pdf
dc.languageeng
dc.publisherInstituto Nacional de Astrofísica, Óptica y Electrónica
dc.relationcitation:Treviño-Gutierrez J.P.
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectinfo:eu-repo/classification/Difracción/Diffraction
dc.subjectinfo:eu-repo/classification/Aberraciones/Aberrations
dc.subjectinfo:eu-repo/classification/Cornea/Cornea
dc.subjectinfo:eu-repo/classification/Funciones de Bessel/Bessel functions
dc.subjectinfo:eu-repo/classification/Propagación de onda/Wave propagation
dc.subjectinfo:eu-repo/classification/Telescopios astronómicos/Astronomical telescopes
dc.subjectinfo:eu-repo/classification/Análisis modal/Modal analysis
dc.subjectinfo:eu-repo/classification/Polinomios de Zernike/Zernike polynomials
dc.subjectinfo:eu-repo/classification/cti/1
dc.subjectinfo:eu-repo/classification/cti/22
dc.subjectinfo:eu-repo/classification/cti/2209
dc.subjectinfo:eu-repo/classification/cti/2209
dc.titleEngineering structured light fields with Sturm – Liouville modal theory
dc.typeinfo:eu-repo/semantics/doctoralThesis
dc.typeinfo:eu-repo/semantics/acceptedVersion
dc.audiencestudents
dc.audienceresearchers
dc.audiencegeneralPublic


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