Optical design: Are skew rays necessary? How many of them to evaluate eighth-order coefficients?

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It is shown that to compute aberration coefficients up to eighth order the number of skew rays traced can be reduced so that only one skew ray is necessary. Together with this skew ray the principal ray and four meridional rays are also traced. To calculate the coefficients, use is made of the usual...

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Autores principales: Comastri, S.A., Simon, J.M.
Formato: JOUR
Materias:
Aberration coefficients
Meridional rays
Skew rays
Analysis
Design
Mathematical models
Numerical methods
Optical systems
Optics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09639659_v2_n6_p607_Comastri
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_09639659_v2_n6_p607_Comastri
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spelling todo:paper_09639659_v2_n6_p607_Comastri2023-10-03T15:54:28Z Optical design: Are skew rays necessary? How many of them to evaluate eighth-order coefficients? Comastri, S.A. Simon, J.M. Aberration coefficients Meridional rays Skew rays Analysis Design Mathematical models Numerical methods Optical systems Optics It is shown that to compute aberration coefficients up to eighth order the number of skew rays traced can be reduced so that only one skew ray is necessary. Together with this skew ray the principal ray and four meridional rays are also traced. To calculate the coefficients, use is made of the usual three equations for the wavefront aberration function and its two separate first derivatives, together with the two equations obtained in a previous paper for the second derivatives of the aberration function. These last derivatives are proportional to the curvatures of the real wavefront in relation to the curvature of the reference sphere and their expressions are apt, up to the present, for meridional rays alone. Numerical results for four optical systems are shown. Fil:Comastri, S.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Simon, J.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09639659_v2_n6_p607_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 Aberration coefficients
Meridional rays
Skew rays
Analysis
Design
Mathematical models
Numerical methods
Optical systems
Optics
spellingShingle Aberration coefficients
Meridional rays
Skew rays
Analysis
Design
Mathematical models
Numerical methods
Optical systems
Optics
Comastri, S.A.
Simon, J.M.
Optical design: Are skew rays necessary? How many of them to evaluate eighth-order coefficients?
topic_facet Aberration coefficients
Meridional rays
Skew rays
Analysis
Design
Mathematical models
Numerical methods
Optical systems
Optics
description It is shown that to compute aberration coefficients up to eighth order the number of skew rays traced can be reduced so that only one skew ray is necessary. Together with this skew ray the principal ray and four meridional rays are also traced. To calculate the coefficients, use is made of the usual three equations for the wavefront aberration function and its two separate first derivatives, together with the two equations obtained in a previous paper for the second derivatives of the aberration function. These last derivatives are proportional to the curvatures of the real wavefront in relation to the curvature of the reference sphere and their expressions are apt, up to the present, for meridional rays alone. Numerical results for four optical systems are shown.
format JOUR
author Comastri, S.A.
Simon, J.M.
author_facet Comastri, S.A.
Simon, J.M.
author_sort Comastri, S.A.
title Optical design: Are skew rays necessary? How many of them to evaluate eighth-order coefficients?
title_short Optical design: Are skew rays necessary? How many of them to evaluate eighth-order coefficients?
title_full Optical design: Are skew rays necessary? How many of them to evaluate eighth-order coefficients?
title_fullStr Optical design: Are skew rays necessary? How many of them to evaluate eighth-order coefficients?
title_full_unstemmed Optical design: Are skew rays necessary? How many of them to evaluate eighth-order coefficients?
title_sort optical design: are skew rays necessary? how many of them to evaluate eighth-order coefficients?
url http://hdl.handle.net/20.500.12110/paper_09639659_v2_n6_p607_Comastri
work_keys_str_mv AT comastrisa opticaldesignareskewraysnecessaryhowmanyofthemtoevaluateeighthordercoefficients
AT simonjm opticaldesignareskewraysnecessaryhowmanyofthemtoevaluateeighthordercoefficients
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