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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.

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


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
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Schreier, FranzUNSPECIFIEDhttps://orcid.org/0000-0001-7196-6599UNSPECIFIED
Xu, JianUNSPECIFIEDhttps://orcid.org/0000-0003-2348-125XUNSPECIFIED
Journal or Publication Title:Journal of Quantitative Spectroscopy and Radiative Transfer
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 147-160
EditorsEmailEditor's ORCID iDORCID Put Code
Mengüç, M. PinarÖzyeğin University, Istanbul, TurkeyUNSPECIFIEDUNSPECIFIED
Rothman, Laurence S.Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts, USAUNSPECIFIEDUNSPECIFIED
Mishchenko, Michael I.NASA-Goddard Institute for Space Studies, New York, USAUNSPECIFIEDUNSPECIFIED
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 - Earth Observation
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:28 Nov 2023 09:21

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