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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Elsevier
2015-04-01
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Series: | Journal of Optometry |
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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. |
first_indexed | 2024-04-13T16:17:30Z |
format | Article |
id | doaj.art-cb09a198d4b24c4f969bd9aacd6c7c55 |
institution | Directory Open Access Journal |
issn | 1888-4296 |
language | English |
last_indexed | 2024-04-13T16:17:30Z |
publishDate | 2015-04-01 |
publisher | Elsevier |
record_format | Article |
series | Journal of Optometry |
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 |