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

Ferreira González, Chelo (Universidad de Zaragoza) ; López, J. L. ; Navarro Belsué, Rafael ; Pérez Sinusía, E.

Resumen: 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.

Idioma: Inglés

DOI: 10.1364/OE.24.005448

Año: 2016

Publicado en: OPTICS EXPRESS 24, 5 (2016), 5448-5462
ISSN: 1094-4087

Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2014-58303-P
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2014-52859

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Matemática Aplicada (Departamento de Matemática Aplicada)