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Algorithmic vs. finite difference Jacobians for infrared atmospheric radiative transfer

Schreier, Franz and Gimeno Garcia, Sebastian and Vasquez, Mayte and Xu, Jian (2015) Algorithmic vs. finite difference Jacobians for infrared atmospheric radiative transfer. Journal of Quantitative Spectroscopy and Radiative Transfer, 164, pp. 147-160. Elsevier. DOI: 10.1016/j.jqsrt.2015.06.002 ISSN 0022-4073

Full text not available from this repository.

Official URL: http://www.sciencedirect.com/science/article/pii/S0022407315002022

Abstract

Jacobians, i.e. partial derivatives of the radiance and transmission spectrum with respect to the atmospheric state parameters to be retrieved from remote sensing observations, are important for the iterative solution of the nonlinear inverse problem. Finite difference Jacobians are easy to implement, but computationally expensive and possibly of dubious quality; on the other hand, analytical Jacobians are accurate and efficient, but the implementation can be quite demanding. GARLIC, our “Generic Atmospheric Radiation Line-by-line Infrared Code”, utilizes algorithmic differentiation (AD) techniques to implement derivatives w.r.t. atmospheric temperature and molecular concentrations. In this paper, we describe our approach for differentiation of the high resolution infrared and microwave spectra and provide an in-depth assessment of finite difference approximations using “exact” AD Jacobians as a reference. The results indicate that the “standard” two-point finite differences with 1 K and 1 % perturbation for temperature and volume mixing ratio, respectively, can exhibit substantial errors, and central differences are significantly better. However, these deviations do not transfer into the truncated singular value decomposition solution of a least squares problem. Nevertheless, AD Jacobians are clearly recommended because of the superior speed and accuracy.

Item URL in elib:https://elib.dlr.de/95963/
Document Type:Article
Title:Algorithmic vs. finite difference Jacobians for infrared atmospheric radiative transfer
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Schreier, Franzfranz.schreier (at) dlr.deUNSPECIFIED
Gimeno Garcia, Sebastiansebastian.gimenogarcia (at) dlr.deUNSPECIFIED
Vasquez, Maytemayte.vazquez (at) dlr.deUNSPECIFIED
Xu, Jianjian.xu (at) dlr.deUNSPECIFIED
Date:2015
Journal or Publication Title:Journal of Quantitative Spectroscopy and Radiative Transfer
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:164
DOI :10.1016/j.jqsrt.2015.06.002
Page Range:pp. 147-160
Editors:
EditorsEmail
Mengüç, M. PinarÖzyeğin University, Istanbul, Turkey
Rothman, Laurence S.Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts, USA
Mishchenko, Michael I.NASA-Goddard Institute for Space Studies, New York, USA
Publisher:Elsevier
ISSN:0022-4073
Status:Published
Keywords:Atmospheric Radiative Transfer, Infrared, Microwave, Line–by–line, Automatic differentiation, Finite difference
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Erdbeobachtung
DLR - Research theme (Project):R - Vorhaben Spektrometrische Verfahren und Konzepte der Fernerkundung (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Schreier, Dr.rer.nat. Franz
Deposited On:15 Apr 2015 13:54
Last Modified:06 Sep 2019 15:28

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