Alternative uses of Coddington's equations in optical design

Considering a second-order patch surrounding an axial reference object point, formulas for the second field derivatives of the wavefront aberration function, corresponding to rays both in the tangential and sagittal sections, are given. To obtain these derivatives, Coddingtons equations are used in...

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Detalles Bibliográficos
Publicado: 2001
Materias:
Aberrations
Mathematical models
Optical systems
Optimization
Wavefronts
Coddingtons equations
Wavefront aberration function
Optical design
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09500340_v48_n3_p379_Comastri
http://hdl.handle.net/20.500.12110/paper_09500340_v48_n3_p379_Comastri
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_09500340_v48_n3_p379_Comastri
record_format dspace
spelling paper:paper_09500340_v48_n3_p379_Comastri2023-06-08T15:54:18Z Alternative uses of Coddington's equations in optical design Aberrations Mathematical models Optical systems Optimization Wavefronts Coddingtons equations Wavefront aberration function Optical design Considering a second-order patch surrounding an axial reference object point, formulas for the second field derivatives of the wavefront aberration function, corresponding to rays both in the tangential and sagittal sections, are given. To obtain these derivatives, Coddingtons equations are used in a way alternative to that employed to calculate the second aperture derivatives. The wavefront aberration function for any point in the patch is written in terms of data acquired tracing tangential rays from the axial point alone. The effectiveness of the procedures is tested numerically in two photographic objectives. The plots for the field derivatives can be incorporated to the traditional ones to improve the global optimization of the optical system. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09500340_v48_n3_p379_Comastri http://hdl.handle.net/20.500.12110/paper_09500340_v48_n3_p379_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 Aberrations
Mathematical models
Optical systems
Optimization
Wavefronts
Coddingtons equations
Wavefront aberration function
Optical design
spellingShingle Aberrations
Mathematical models
Optical systems
Optimization
Wavefronts
Coddingtons equations
Wavefront aberration function
Optical design
Alternative uses of Coddington's equations in optical design
topic_facet Aberrations
Mathematical models
Optical systems
Optimization
Wavefronts
Coddingtons equations
Wavefront aberration function
Optical design
description Considering a second-order patch surrounding an axial reference object point, formulas for the second field derivatives of the wavefront aberration function, corresponding to rays both in the tangential and sagittal sections, are given. To obtain these derivatives, Coddingtons equations are used in a way alternative to that employed to calculate the second aperture derivatives. The wavefront aberration function for any point in the patch is written in terms of data acquired tracing tangential rays from the axial point alone. The effectiveness of the procedures is tested numerically in two photographic objectives. The plots for the field derivatives can be incorporated to the traditional ones to improve the global optimization of the optical system.
title Alternative uses of Coddington's equations in optical design
title_short Alternative uses of Coddington's equations in optical design
title_full Alternative uses of Coddington's equations in optical design
title_fullStr Alternative uses of Coddington's equations in optical design
title_full_unstemmed Alternative uses of Coddington's equations in optical design
title_sort alternative uses of coddington's equations in optical design
publishDate 2001
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09500340_v48_n3_p379_Comastri
http://hdl.handle.net/20.500.12110/paper_09500340_v48_n3_p379_Comastri
_version_ 1768542227933429760

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