000048679 001__ 48679
000048679 005__ 20161006102707.0
000048679 0247_ $$2doi$$a10.1364/OE.24.005448
000048679 0248_ $$2sideral$$a94632
000048679 037__ $$aART-2016-94632
000048679 041__ $$aeng
000048679 100__ $$0(orcid)0000-0002-3698-6719$$aFerreira González, Chelo$$uUniversidad de Zaragoza
000048679 245__ $$aOrthogonal basis with a conicoid first mode for shape specification of optical surfaces
000048679 260__ $$c2016
000048679 5060_ $$aAccess copy available to the general public$$fUnrestricted
000048679 5203_ $$aA 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.
000048679 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/FIS2014-58303-P$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2014-52859
000048679 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000048679 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000048679 700__ $$aLópez, J. L.
000048679 700__ $$0(orcid)0000-0002-1328-1716$$aNavarro Belsué, Rafael
000048679 700__ $$aPérez Sinusía, E.
000048679 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDepartamento de Matemática Aplicada$$cMatemática Aplicada
000048679 773__ $$g24, 5 (2016), 5448-5462$$pOpt. express$$tOPTICS EXPRESS$$x1094-4087
000048679 8564_ $$s2051817$$uhttps://zaguan.unizar.es/record/48679/files/texto_completo.pdf$$yVersión publicada
000048679 8564_ $$s69510$$uhttps://zaguan.unizar.es/record/48679/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000048679 909CO $$ooai:zaguan.unizar.es:48679$$particulos$$pdriver
000048679 951__ $$a2016-05-10-14:33:02
000048679 980__ $$aARTICLE