Orthogonal basis with a conicoid first mode for shape specification of optical surfaces

Ferreira González, Chelo; López García, José Luis; Pérez Sinusía, Ester; Navarro, Rafael

Publication:
Orthogonal basis with a conicoid first mode for shape specification of optical surfaces

dc.contributor.author	Ferreira González, Chelo
dc.contributor.author	López García, José Luis
dc.contributor.author	Pérez Sinusía, Ester
dc.contributor.author	Navarro, Rafael
dc.contributor.department	Ingeniería Matemática e Informática	es_ES
dc.contributor.department	Matematika eta Informatika Ingeniaritza	eu
dc.date.accessioned	2018-12-14T12:04:13Z
dc.date.available	2018-12-14T12:04:13Z
dc.date.issued	2016
dc.description.abstract	A 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.sponsorship	This research was supported by the Spanish Ministry of Economía y Competitividad and the European Union MTM2014-52859 and FIS2014-58303.	en
dc.format.extent	17 p.
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1364/OE.24.005448
dc.identifier.issn	1094-4087 (Electronic)
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/31772
dc.language.iso	eng	en
dc.publisher	Optical Society of America	en
dc.relation.ispartof	Optics Express, vol. 24, issue 5, pp. 5448-5462 (2016)	en
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO//MTM2014-52859-P/ES/	en
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO//FIS2014-58303-P/ES/	en
dc.relation.publisherversion	https://doi.org/10.1364/OE.24.005448
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.rights.accessRights	info:eu-repo/semantics/openAccess
dc.subject	Orthogonal functions	en
dc.subject	Optical surfaces	en
dc.subject	Conicoids	en
dc.title	Orthogonal basis with a conicoid first mode for shape specification of optical surfaces	en
dc.type	info:eu-repo/semantics/article
dc.type.version	info:eu-repo/semantics/acceptedVersion	en
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dspace.entity.type	Publication
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