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Designing Fresnel microlenses for focusing astigmatic multi-Gaussian beams by using fractional order Fourier transforms
dc.creator | Patiño Vanegas, Alberto | |
dc.creator | Durand, P.E. | |
dc.creator | Fogret, É. | |
dc.creator | Pellat-Finet, P. | |
dc.date.accessioned | 2019-11-06T19:05:20Z | |
dc.date.available | 2019-11-06T19:05:20Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Journal of Physics: Conference Series; Vol. 274, Núm. 1 | |
dc.identifier.issn | 1742-6588 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12585/8764 | |
dc.description.abstract | According to a scalar theory of diffraction, light propagation can be expressed by two-dimensional fractional order Fourier transforms. Since the fractional Fourier transform of a chirp function is a Dirac distribution, focusing a light beam is optically achieved by using a diffractive screen whose transmission function is a two-dimensional chirp function. This property is applied to designing Fresnel microlenses, and the orders of the involved Fourier fractional transforms depend on diffraction distances as well as on emitter and receiver radii of curvature. If the emitter is astigmatic (with two principal radii of curvature), the diffraction phenomenon involves two one-dimensional fractional Fourier transforms whose orders are different. This degree of freedom allows us to design microlenses that can focus astigmatic Gaussian beams, as produced by a line-shaped laser diode source. | e |
dc.format.medium | Recurso electrónico | |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Institute of Physics Publishing | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79953756121&doi=10.1088%2f1742-6596%2f274%2f1%2f012108&partnerID=40&md5=28f086ce707dfbdd91cc6f412e8684a6 | |
dc.source | Scopus 57192275310 | |
dc.source | Scopus 7202230088 | |
dc.source | Scopus 6603213964 | |
dc.source | Scopus 6701664259 | |
dc.title | Designing Fresnel microlenses for focusing astigmatic multi-Gaussian beams by using fractional order Fourier transforms | |
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datacite.rights | http://purl.org/coar/access_right/c_abf2 | |
oaire.resourceType | http://purl.org/coar/resource_type/c_c94f | |
oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
dc.type.driver | info:eu-repo/semantics/conferenceObject | |
dc.type.hasversion | info:eu-repo/semantics/publishedVersion | |
dc.identifier.doi | 10.1088/1742-6596/274/1/012108 | |
dc.subject.keywords | Degrees of freedom (mechanics) | |
dc.subject.keywords | Diffraction | |
dc.subject.keywords | Fourier optics | |
dc.subject.keywords | Gaussian beams | |
dc.subject.keywords | Microlenses | |
dc.subject.keywords | Mines | |
dc.subject.keywords | Astigmatic Gaussian beam | |
dc.subject.keywords | Diffraction phenomenon | |
dc.subject.keywords | Dirac distribution | |
dc.subject.keywords | Fractional Fourier transforms | |
dc.subject.keywords | Fractional transforms | |
dc.subject.keywords | Fresnel microlense | |
dc.subject.keywords | Radii of curvature | |
dc.subject.keywords | Transmission function | |
dc.subject.keywords | Fourier transforms | |
dc.rights.accessrights | info:eu-repo/semantics/openAccess | |
dc.rights.cc | Atribución-NoComercial 4.0 Internacional | |
dc.identifier.instname | Universidad Tecnológica de Bolívar | |
dc.identifier.reponame | Repositorio UTB | |
dc.type.spa | Conferencia |
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