Computation of Fresnel Integrals

This paper describes a method for spreadsheet computations of Fresnel integrals to six significant figures, based on successive improvements of known rational approximations which are accurate to only three figures. Outside the range of validity of the improved approximations, known series expansion...

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Detalles Bibliográficos
Autor principal: Mielenz, Klaus D.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 1997
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4894596/
https://www.ncbi.nlm.nih.gov/pubmed/27805152
http://dx.doi.org/10.6028/jres.102.025
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author Mielenz, Klaus D.
author_facet Mielenz, Klaus D.
author_sort Mielenz, Klaus D.
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description This paper describes a method for spreadsheet computations of Fresnel integrals to six significant figures, based on successive improvements of known rational approximations which are accurate to only three figures. Outside the range of validity of the improved approximations, known series expansions are used to obtain the Fresnel integrals to six figures.
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spelling pubmed-48945962016-10-28 Computation of Fresnel Integrals Mielenz, Klaus D. J Res Natl Inst Stand Technol Article This paper describes a method for spreadsheet computations of Fresnel integrals to six significant figures, based on successive improvements of known rational approximations which are accurate to only three figures. Outside the range of validity of the improved approximations, known series expansions are used to obtain the Fresnel integrals to six figures. [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 1997 /pmc/articles/PMC4894596/ /pubmed/27805152 http://dx.doi.org/10.6028/jres.102.025 Text en https://creativecommons.org/publicdomain/zero/1.0/ The Journal of Research of the National Institute of Standards and Technology is a publication of the U.S. Government. The papers are in the public domain and are not subject to copyright in the United States. Articles from J Res may contain photographs or illustrations copyrighted by other commercial organizations or individuals that may not be used without obtaining prior approval from the holder of the copyright.
spellingShingle Article
Mielenz, Klaus D.
Computation of Fresnel Integrals
title Computation of Fresnel Integrals
title_full Computation of Fresnel Integrals
title_fullStr Computation of Fresnel Integrals
title_full_unstemmed Computation of Fresnel Integrals
title_short Computation of Fresnel Integrals
title_sort computation of fresnel integrals
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4894596/
https://www.ncbi.nlm.nih.gov/pubmed/27805152
http://dx.doi.org/10.6028/jres.102.025
work_keys_str_mv AT mielenzklausd computationoffresnelintegrals

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