Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations

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-ord...

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Autores principales: Comastri, S.A., Perez, L.I., Pérez, G.D., Martin, G., Bastida, K.
Formato: JOUR
Materias:
Ocular aberrations
Pupil size and centring
Zernike coefficients
Optical transitions
Topography
Wave effects
Corneal aberrations
Keratometric vertex
Pupils
Optical systems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_14644258_v9_n3_p209_Comastri
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_14644258_v9_n3_p209_Comastri
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spelling todo:paper_14644258_v9_n3_p209_Comastri2023-10-03T16:17:15Z Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations Comastri, S.A. Perez, L.I. Pérez, G.D. Martin, G. Bastida, K. Ocular aberrations Pupil size and centring Zernike coefficients Optical transitions Topography Wave effects Corneal aberrations Keratometric vertex Pupils Zernike coefficients Optical systems 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_14644258_v9_n3_p209_Comastri
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Ocular aberrations
Pupil size and centring
Zernike coefficients
Optical transitions
Topography
Wave effects
Corneal aberrations
Keratometric vertex
Pupils
Zernike coefficients
Optical systems
spellingShingle Ocular aberrations
Pupil size and centring
Zernike coefficients
Optical transitions
Topography
Wave effects
Corneal aberrations
Keratometric vertex
Pupils
Zernike coefficients
Optical systems
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
topic_facet Ocular aberrations
Pupil size and centring
Zernike coefficients
Optical transitions
Topography
Wave effects
Corneal aberrations
Keratometric vertex
Pupils
Zernike coefficients
Optical systems
description 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.
format JOUR
author Comastri, S.A.
Perez, L.I.
Pérez, G.D.
Martin, G.
Bastida, K.
author_facet Comastri, S.A.
Perez, L.I.
Pérez, G.D.
Martin, G.
Bastida, K.
author_sort Comastri, S.A.
title Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations
title_short Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations
title_full Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations
title_fullStr Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations
title_full_unstemmed Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations
title_sort zernike expansion coefficients: rescaling and decentring for different pupils and evaluation of corneal aberrations
url http://hdl.handle.net/20.500.12110/paper_14644258_v9_n3_p209_Comastri
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