Geometric Aberration Theory of Offner Imaging Spectrometers

A third-order aberration theory has been developed for the Offner imaging spectrometer comprising an extended source; two concave mirrors; a convex diffraction grating; and an image plane. Analytic formulas of the spot diagram are derived for tracing rays through the system based on Fermat’s princip...

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Autores principales: Zhao, Meihong, Jiang, Yanxiu, Yang, Shuo, Li, Wenhao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6767683/
https://www.ncbi.nlm.nih.gov/pubmed/31546865
http://dx.doi.org/10.3390/s19184046
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author Zhao, Meihong
Jiang, Yanxiu
Yang, Shuo
Li, Wenhao
author_facet Zhao, Meihong
Jiang, Yanxiu
Yang, Shuo
Li, Wenhao
author_sort Zhao, Meihong
collection PubMed
description A third-order aberration theory has been developed for the Offner imaging spectrometer comprising an extended source; two concave mirrors; a convex diffraction grating; and an image plane. Analytic formulas of the spot diagram are derived for tracing rays through the system based on Fermat’s principle. The proposed theory can be used to discuss in detail individual aberrations of the system such as coma, spherical aberration and astigmatism, and distortion together with the focal conditions. It has been critically evaluated as well in a comparison with exact ray tracing constructed using the commercial software ZEMAX. In regard to the analytic formulas, the results show a high degree of practicality.
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spelling pubmed-67676832019-10-02 Geometric Aberration Theory of Offner Imaging Spectrometers Zhao, Meihong Jiang, Yanxiu Yang, Shuo Li, Wenhao Sensors (Basel) Article A third-order aberration theory has been developed for the Offner imaging spectrometer comprising an extended source; two concave mirrors; a convex diffraction grating; and an image plane. Analytic formulas of the spot diagram are derived for tracing rays through the system based on Fermat’s principle. The proposed theory can be used to discuss in detail individual aberrations of the system such as coma, spherical aberration and astigmatism, and distortion together with the focal conditions. It has been critically evaluated as well in a comparison with exact ray tracing constructed using the commercial software ZEMAX. In regard to the analytic formulas, the results show a high degree of practicality. MDPI 2019-09-19 /pmc/articles/PMC6767683/ /pubmed/31546865 http://dx.doi.org/10.3390/s19184046 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Zhao, Meihong
Jiang, Yanxiu
Yang, Shuo
Li, Wenhao
Geometric Aberration Theory of Offner Imaging Spectrometers
title Geometric Aberration Theory of Offner Imaging Spectrometers
title_full Geometric Aberration Theory of Offner Imaging Spectrometers
title_fullStr Geometric Aberration Theory of Offner Imaging Spectrometers
title_full_unstemmed Geometric Aberration Theory of Offner Imaging Spectrometers
title_short Geometric Aberration Theory of Offner Imaging Spectrometers
title_sort geometric aberration theory of offner imaging spectrometers
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6767683/
https://www.ncbi.nlm.nih.gov/pubmed/31546865
http://dx.doi.org/10.3390/s19184046
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AT jiangyanxiu geometricaberrationtheoryofoffnerimagingspectrometers
AT yangshuo geometricaberrationtheoryofoffnerimagingspectrometers
AT liwenhao geometricaberrationtheoryofoffnerimagingspectrometers

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