Publicación
Artículo científico (article).
Orthogonal basis with a conicoid first mode for shape specification of optical surfaces
Digital.CSIC. Repositorio Institucional del CSIC
oai:digital.csic.es:10261/148448
Digital.CSIC. Repositorio Institucional del CSIC
- Ferreira, Chelo
- López, José L.
- Navarro, Rafael
- Pérez Sinusía, Ester
Open Access., 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., This research was supported by the Spanish Ministry of Economía y Competitividad and the European Union MTM2014-52859 and FIS2014-58303., Peer Reviewed
DOI: http://hdl.handle.net/10261/148448
Digital.CSIC. Repositorio Institucional del CSIC
oai:digital.csic.es:10261/148448
HANDLE: http://hdl.handle.net/10261/148448
Digital.CSIC. Repositorio Institucional del CSIC
oai:digital.csic.es:10261/148448
Ver en: http://hdl.handle.net/10261/148448
Digital.CSIC. Repositorio Institucional del CSIC
oai:digital.csic.es:10261/148448
1106