Field derivative of the variance of wavefront aberration

In this paper we expand the wavefront aberration function in terms of Zernike's polynomials. This expansion may be more convenient than the usual power series when the aberration variance is used as a merit function. Using normalized coordinates, we obtain a formula for the variance derivative,...

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Publicado: 1989
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09500340_v36_n8_p1073_Comastri
http://hdl.handle.net/20.500.12110/paper_09500340_v36_n8_p1073_Comastri
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spelling paper:paper_09500340_v36_n8_p1073_Comastri2023-06-08T15:54:07Z Field derivative of the variance of wavefront aberration In this paper we expand the wavefront aberration function in terms of Zernike's polynomials. This expansion may be more convenient than the usual power series when the aberration variance is used as a merit function. Using normalized coordinates, we obtain a formula for the variance derivative, at an off-axis image point, with respect to displacements from this image point, when the exit pupil coordinates are kept constant. The derivative is obtained in terms of the data of rays traced for the given field point so that we are making greater profit from the rays traced. The calculation of both the variance and its field derivative is useful in the optimization of optical systems. © 1989 Taylor & Francis Ltd. 1989 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09500340_v36_n8_p1073_Comastri http://hdl.handle.net/20.500.12110/paper_09500340_v36_n8_p1073_Comastri
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description In this paper we expand the wavefront aberration function in terms of Zernike's polynomials. This expansion may be more convenient than the usual power series when the aberration variance is used as a merit function. Using normalized coordinates, we obtain a formula for the variance derivative, at an off-axis image point, with respect to displacements from this image point, when the exit pupil coordinates are kept constant. The derivative is obtained in terms of the data of rays traced for the given field point so that we are making greater profit from the rays traced. The calculation of both the variance and its field derivative is useful in the optimization of optical systems. © 1989 Taylor & Francis Ltd.
title Field derivative of the variance of wavefront aberration
spellingShingle Field derivative of the variance of wavefront aberration
title_short Field derivative of the variance of wavefront aberration
title_full Field derivative of the variance of wavefront aberration
title_fullStr Field derivative of the variance of wavefront aberration
title_full_unstemmed Field derivative of the variance of wavefront aberration
title_sort field derivative of the variance of wavefront aberration
publishDate 1989
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09500340_v36_n8_p1073_Comastri
http://hdl.handle.net/20.500.12110/paper_09500340_v36_n8_p1073_Comastri
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