Third-order aberrations in GRIN crystalline lens: A new method based on axial and field rays

This paper presents a new procedure for calculating the third-order aberration of gradient-index (GRIN) lenses that combines an iterative numerical method with the Hamiltonian theory of aberrations in terms of two paraxial rays with boundary conditions on general curved end surfaces and, as a second...

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Main Authors: Arturo Díaz del Río, Carlos Gómez-Reino, M. Teresa Flores-Arias
Format: Article
Language:English
Published: Elsevier 2015-04-01
Series:Journal of Optometry
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1888429614000880
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author Arturo Díaz del Río
Carlos Gómez-Reino
M. Teresa Flores-Arias
author_facet Arturo Díaz del Río
Carlos Gómez-Reino
M. Teresa Flores-Arias
author_sort Arturo Díaz del Río
collection DOAJ
description This paper presents a new procedure for calculating the third-order aberration of gradient-index (GRIN) lenses that combines an iterative numerical method with the Hamiltonian theory of aberrations in terms of two paraxial rays with boundary conditions on general curved end surfaces and, as a second algebraic step has been presented. Application of this new method to a GRIN human is analyzed in the framework of the bi-elliptical model. The different third-order aberrations are determined, except those that need for their calculation skew rays, because the study is made only for meridional rays.
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spelling doaj.art-cb09a198d4b24c4f969bd9aacd6c7c552022-12-22T02:40:01ZengElsevierJournal of Optometry1888-42962015-04-0182778510.1016/j.optom.2014.09.003Third-order aberrations in GRIN crystalline lens: A new method based on axial and field raysArturo Díaz del RíoCarlos Gómez-ReinoM. Teresa Flores-AriasThis paper presents a new procedure for calculating the third-order aberration of gradient-index (GRIN) lenses that combines an iterative numerical method with the Hamiltonian theory of aberrations in terms of two paraxial rays with boundary conditions on general curved end surfaces and, as a second algebraic step has been presented. Application of this new method to a GRIN human is analyzed in the framework of the bi-elliptical model. The different third-order aberrations are determined, except those that need for their calculation skew rays, because the study is made only for meridional rays.http://www.sciencedirect.com/science/article/pii/S1888429614000880Human eyeCrystallineThird-order aberrationsAxial and field rays
spellingShingle Arturo Díaz del Río
Carlos Gómez-Reino
M. Teresa Flores-Arias
Third-order aberrations in GRIN crystalline lens: A new method based on axial and field rays
Journal of Optometry
Human eye
Crystalline
Third-order aberrations
Axial and field rays
title Third-order aberrations in GRIN crystalline lens: A new method based on axial and field rays
title_full Third-order aberrations in GRIN crystalline lens: A new method based on axial and field rays
title_fullStr Third-order aberrations in GRIN crystalline lens: A new method based on axial and field rays
title_full_unstemmed Third-order aberrations in GRIN crystalline lens: A new method based on axial and field rays
title_short Third-order aberrations in GRIN crystalline lens: A new method based on axial and field rays
title_sort third order aberrations in grin crystalline lens a new method based on axial and field rays
topic Human eye
Crystalline
Third-order aberrations
Axial and field rays
url http://www.sciencedirect.com/science/article/pii/S1888429614000880
work_keys_str_mv AT arturodiazdelrio thirdorderaberrationsingrincrystallinelensanewmethodbasedonaxialandfieldrays
AT carlosgomezreino thirdorderaberrationsingrincrystallinelensanewmethodbasedonaxialandfieldrays
AT mteresafloresarias thirdorderaberrationsingrincrystallinelensanewmethodbasedonaxialandfieldrays