Engineering structured light fields with Sturm – Liouville modal theory
In 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 i...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2014 |
| País: | México |
| Institución: | Instituto Nacional de Astrofísica, Óptica y Electrónica |
| Repositorio: | Repositorio Institucional del INAOE |
| Idioma: | inglés |
| OAI Identifier: | oai:inaoe.repositorioinstitucional.mx:1009/160 |
| Acceso en línea: | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/160 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Difracción/Diffraction info:eu-repo/classification/Aberraciones/Aberrations info:eu-repo/classification/Cornea/Cornea info:eu-repo/classification/Funciones de Bessel/Bessel functions info:eu-repo/classification/Propagación de onda/Wave propagation info:eu-repo/classification/Telescopios astronómicos/Astronomical telescopes info:eu-repo/classification/Análisis modal/Modal analysis info:eu-repo/classification/Polinomios de Zernike/Zernike polynomials info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2209 |
| Sumario: | In 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. |
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