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The generalized Sellmeier equation for air
We present a compact, uniform generalized Sellmeier-equation (GSE) description of air refraction and its dispersion that remains highly accurate within an ultrabroad spectral range from the ultraviolet to the long-wavelength infrared. While the standard Sellmeier equation (SSE) for atmospheric air i...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5569311/ https://www.ncbi.nlm.nih.gov/pubmed/28836624 http://dx.doi.org/10.1038/srep46111 |
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author | Voronin, A. A. Zheltikov, A. M. |
author_facet | Voronin, A. A. Zheltikov, A. M. |
author_sort | Voronin, A. A. |
collection | PubMed |
description | We present a compact, uniform generalized Sellmeier-equation (GSE) description of air refraction and its dispersion that remains highly accurate within an ultrabroad spectral range from the ultraviolet to the long-wavelength infrared. While the standard Sellmeier equation (SSE) for atmospheric air is not intended for the description of air refractivity in the mid-infrared and long-wavelength infrared, failing beyond, roughly 2.5 μm, our generalization of this equation is shown to agree remarkably well with full-scale air-refractivity calculations involving over half a million atmospheric absorption lines, providing a highly accurate description of air refractivity in the range of wavelengths from 0.3 to 13 μm. With its validity range being substantially broader than the applicability range of the SSE and its accuracy being at least an order of magnitude higher than the accuracy that the SSE can provide even within its validity range, the GSE-based approach offers a powerful analytical tool for the rapidly progressing mid- and long-wavelength-infrared optics of the atmosphere. |
format | Online Article Text |
id | pubmed-5569311 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-55693112017-09-01 The generalized Sellmeier equation for air Voronin, A. A. Zheltikov, A. M. Sci Rep Article We present a compact, uniform generalized Sellmeier-equation (GSE) description of air refraction and its dispersion that remains highly accurate within an ultrabroad spectral range from the ultraviolet to the long-wavelength infrared. While the standard Sellmeier equation (SSE) for atmospheric air is not intended for the description of air refractivity in the mid-infrared and long-wavelength infrared, failing beyond, roughly 2.5 μm, our generalization of this equation is shown to agree remarkably well with full-scale air-refractivity calculations involving over half a million atmospheric absorption lines, providing a highly accurate description of air refractivity in the range of wavelengths from 0.3 to 13 μm. With its validity range being substantially broader than the applicability range of the SSE and its accuracy being at least an order of magnitude higher than the accuracy that the SSE can provide even within its validity range, the GSE-based approach offers a powerful analytical tool for the rapidly progressing mid- and long-wavelength-infrared optics of the atmosphere. Nature Publishing Group 2017-08-24 /pmc/articles/PMC5569311/ /pubmed/28836624 http://dx.doi.org/10.1038/srep46111 Text en Copyright © 2017, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Voronin, A. A. Zheltikov, A. M. The generalized Sellmeier equation for air |
title | The generalized Sellmeier equation for air |
title_full | The generalized Sellmeier equation for air |
title_fullStr | The generalized Sellmeier equation for air |
title_full_unstemmed | The generalized Sellmeier equation for air |
title_short | The generalized Sellmeier equation for air |
title_sort | generalized sellmeier equation for air |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5569311/ https://www.ncbi.nlm.nih.gov/pubmed/28836624 http://dx.doi.org/10.1038/srep46111 |
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