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Accurate analytic approximation for the Chapman grazing incidence function

Vasylyev, Dmytro (2021) Accurate analytic approximation for the Chapman grazing incidence function. Earth, Planets and Space, 73 (112), pp. 1-11. Springer. doi: 10.1186/s40623-021-01435-y. ISSN 1343-8832.

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Official URL: https://earth-planets-space.springeropen.com/articles/10.1186/s40623-021-01435-y#citeas

Abstract

A new analytical approximation for the Chapman mapping integral, Ch, for exponential atmospheres is proposed. This formulation is based on the derived relation of the Chapman function to several classes of the incomplete Bessel functions. Application of the uniform asymptotic expansion to the incomplete Bessel functions allowed us to establish the precise analytical approximation to Ch, which outperforms established analytical results. In this way the resource consuming numerical integration can be replaced by the derived approximation with higher accuracy. The obtained results are useful for various branches of atmospheric physics such as the calculations of optical depths in exponential atmospheres at large grazing angles, physical and chemical aeronomy, atmospheric optics, ionospheric modeling, and radiative transfer theory.

Item URL in elib:https://elib.dlr.de/142416/
Document Type:Article
Title:Accurate analytic approximation for the Chapman grazing incidence function
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Vasylyev, DmytroUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Date:21 May 2021
Journal or Publication Title:Earth, Planets and Space
Refereed publication:Yes
Open Access:Yes
Gold Open Access:Yes
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:73
DOI:10.1186/s40623-021-01435-y
Page Range:pp. 1-11
Publisher:Springer
ISSN:1343-8832
Status:Published
Keywords:Chapman mapping function, Exponential atmosphere, Incomplete cylindrical function, Optical thickness, Optical air mass, Atmospheric aeronomy
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Earth Observation
DLR - Research theme (Project):R - Solar-Terrestrial Physics SO
Location: Neustrelitz
Institutes and Institutions:Institute for Solar-Terrestrial Physics > Space Weather Impact
Deposited By: Vasylyev, Dmytro
Deposited On:27 May 2021 09:30
Last Modified:19 Dec 2023 08:37

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