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dc.creatorFerreira González, Cheloes_ES
dc.creatorLópez García, José Luises_ES
dc.creatorNavarro, Rafaeles_ES
dc.creatorPérez Sinusía, Esteres_ES
dc.date.accessioned2018-12-14T12:04:13Z
dc.date.available2018-12-14T12:04:13Z
dc.date.issued2016
dc.identifier.issn1094-4087 (Electronic)
dc.identifier.urihttps://hdl.handle.net/2454/31772
dc.description.abstractA rigorous and powerful theoretical framework is proposed to obtain systems of orthogonal functions (or shape modes) to represent optical surfaces. The method is general so it can be applied to different initial shapes and different polynomials. Here we present results for surfaces with circular apertures when the first basis function (mode) is a conicoid. The system for aspheres with rotational symmetry is obtained applying an appropriate change of variables to Legendre polynomials, whereas the system for general freeform case is obtained applying a similar procedure to spherical harmonics. Numerical comparisons with standard systems, such as Forbes and Zernike polynomials, are performed and discussed.en
dc.description.sponsorshipThis research was supported by the Spanish Ministry of Economía y Competitividad and the European Union MTM2014-52859 and FIS2014-58303.en
dc.format.extent17 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherOptical Society of Americaen
dc.relation.ispartofOptics Express, vol. 24, issue 5, pp. 5448-5462 (2016)en
dc.rights© 2016 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited.en
dc.subjectOrthogonal functionsen
dc.subjectOptical surfacesen
dc.subjectConicoidsen
dc.titleOrthogonal basis with a conicoid first mode for shape specification of optical surfacesen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentIngeniería Matemática e Informáticaes_ES
dc.contributor.departmentMatematika eta Informatika Ingeniaritzaeu
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.identifier.doi10.1364/OE.24.005448
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-52859-P/ES/en
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//FIS2014-58303-P/ES/en
dc.relation.publisherversionhttps://doi.org/10.1364/OE.24.005448
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes


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