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Abstract:

An analytical method to convert the set of Zernike coefficients that fits the wavefront aberration for a pupil into another corresponding to a contracted and horizontally translated pupil is proposed. The underlying selection rules are provided and the resulting conversion formulae for a seventh-order expansion are given. These formulae are applied to calculate corneal aberrations referred to a given pupil centre in terms of those referred to the keratometric vertex supplied by the SN CT1000 topographer. Four typical cases are considered: a sphere and three eyes - normal, keratoconic and post-LASIK. When the pupil centre is fixed and the pupil diameter decreases from 6 mm to the photopic natural one, leaving aside piston, tilt and defocus, the difference between the root mean square wavefront error computed with the formulae and the topographer is less than 0.04 μm. When the pupil diameter is kept equal to the natural one and the pupil centre is displaced, coefficients vary according to the eye. For a 0.3μmm pupil shift, the variation of coma is at most 0.35μm and that of spherical aberration 0.01μm. © IOP Publishing Ltd.

Registro:

Documento: Artículo
Título:Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations
Autor:Comastri, S.A.; Perez, L.I.; Pérez, G.D.; Martin, G.; Bastida, K.
Filiación:Laboratorio de Óptica, Departamento de Física, Ciudad Universitaria, Pabellón I, Nũez, (C1428EGA) Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas, (C1033AAJ) Buenos Aires, Argentina
Grupo Óptica de Interfaces, Departamento de Física, Universidad de Buenos Aires, (C1063ACV) Buenos Aires, Argentina
QLOGIC SA, (C1117ABE) Buenos Aires, Argentina
Laboratorio de Óptica y Dimensional, Departamento de Física y Metrología, Instituto Nacional de Tecnología Industrial, (B1650WAB) Buenos Aires, Argentina
Palabras clave:Ocular aberrations; Pupil size and centring; Zernike coefficients; Optical transitions; Topography; Wave effects; Corneal aberrations; Keratometric vertex; Pupils; Zernike coefficients; Optical systems
Año:2007
Volumen:9
Número:3
Página de inicio:209
Página de fin:221
DOI: http://dx.doi.org/10.1088/1464-4258/9/3/001
Título revista:Journal of Optics A: Pure and Applied Optics
Título revista abreviado:J Opt A Pure Appl Opt
ISSN:14644258
CODEN:JOAOF
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14644258_v9_n3_p209_Comastri

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Citas:

---------- APA ----------
Comastri, S.A., Perez, L.I., Pérez, G.D., Martin, G. & Bastida, K. (2007) . Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations. Journal of Optics A: Pure and Applied Optics, 9(3), 209-221.
http://dx.doi.org/10.1088/1464-4258/9/3/001
---------- CHICAGO ----------
Comastri, S.A., Perez, L.I., Pérez, G.D., Martin, G., Bastida, K. "Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations" . Journal of Optics A: Pure and Applied Optics 9, no. 3 (2007) : 209-221.
http://dx.doi.org/10.1088/1464-4258/9/3/001
---------- MLA ----------
Comastri, S.A., Perez, L.I., Pérez, G.D., Martin, G., Bastida, K. "Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations" . Journal of Optics A: Pure and Applied Optics, vol. 9, no. 3, 2007, pp. 209-221.
http://dx.doi.org/10.1088/1464-4258/9/3/001
---------- VANCOUVER ----------
Comastri, S.A., Perez, L.I., Pérez, G.D., Martin, G., Bastida, K. Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations. J Opt A Pure Appl Opt. 2007;9(3):209-221.
http://dx.doi.org/10.1088/1464-4258/9/3/001