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Efremenko, Dmitry und Molina García, Víctor und Gimeno García, Sebastián und Doicu, Adrian (2017) A review of the matrix-exponential formalism in radiative transfer. Journal of Quantitative Spectroscopy and Radiative Transfer, 196, Seiten 17-45. Elsevier. doi: 10.1016/j.jqsrt.2017.02.015. ISSN 0022-4073.
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Offizielle URL: http://dx.doi.org/10.1016/j.jqsrt.2017.02.015
Kurzfassung
This paper outlines the matrix exponential description of radiative transfer. The eigendecomposition method which serves as a basis for computing the matrix exponential and for representing the solution in a discrete ordinate setting is considered. The mathematical equivalence of the discrete ordinate method, the matrix operator method, and the matrix Riccati equations method is proved rigorously by means of the matrix exponential formalism. For optically thin layers, approximate solution methods relying on the Padé and Taylor series approximations to the matrix exponential, as well as on the matrix Riccati equations, are presented. For optically thick layers, the asymptotic theory with higher-order corrections is derived, and parameterizations of the asymptotic functions and constants for a water-cloud model with a Gamma size distribution are obtained.
| elib-URL des Eintrags: | https://elib.dlr.de/111872/ | ||||||||||||||||||||
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| Dokumentart: | Zeitschriftenbeitrag | ||||||||||||||||||||
| Titel: | A review of the matrix-exponential formalism in radiative transfer | ||||||||||||||||||||
| Autoren: |
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| Datum: | 2017 | ||||||||||||||||||||
| Erschienen in: | Journal of Quantitative Spectroscopy and Radiative Transfer | ||||||||||||||||||||
| Referierte Publikation: | Ja | ||||||||||||||||||||
| Open Access: | Ja | ||||||||||||||||||||
| Gold Open Access: | Nein | ||||||||||||||||||||
| In SCOPUS: | Ja | ||||||||||||||||||||
| In ISI Web of Science: | Ja | ||||||||||||||||||||
| Band: | 196 | ||||||||||||||||||||
| DOI: | 10.1016/j.jqsrt.2017.02.015 | ||||||||||||||||||||
| Seitenbereich: | Seiten 17-45 | ||||||||||||||||||||
| Herausgeber: |
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| Verlag: | Elsevier | ||||||||||||||||||||
| ISSN: | 0022-4073 | ||||||||||||||||||||
| Status: | veröffentlicht | ||||||||||||||||||||
| Stichwörter: | Matrix-exponential; Discrete ordinate method; Matrix operator method; Matrix Riccati equations; Asymptotic theory | ||||||||||||||||||||
| HGF - Forschungsbereich: | Luftfahrt, Raumfahrt und Verkehr | ||||||||||||||||||||
| HGF - Programm: | Raumfahrt | ||||||||||||||||||||
| HGF - Programmthema: | Erdbeobachtung | ||||||||||||||||||||
| DLR - Schwerpunkt: | Raumfahrt | ||||||||||||||||||||
| DLR - Forschungsgebiet: | R EO - Erdbeobachtung | ||||||||||||||||||||
| DLR - Teilgebiet (Projekt, Vorhaben): | R - Vorhaben Spektrometrische Verfahren und Konzepte der Fernerkundung (alt) | ||||||||||||||||||||
| Standort: | Oberpfaffenhofen | ||||||||||||||||||||
| Institute & Einrichtungen: | Institut für Methodik der Fernerkundung > Atmosphärenprozessoren | ||||||||||||||||||||
| Hinterlegt von: | Efremenko, Dr Dmitry | ||||||||||||||||||||
| Hinterlegt am: | 12 Apr 2017 12:06 | ||||||||||||||||||||
| Letzte Änderung: | 03 Nov 2023 14:00 |
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- A review of the matrix-exponential formalism in radiative transfer. (deposited 12 Apr 2017 12:06) [Gegenwärtig angezeigt]
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