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An overview of methods for deriving the radiative transfer theory from the Maxwell equations. II: Approach based on the Dyson and Bethe-Salpeter equations

Doicu, Adrian and Mishchenko, Michael (2019) An overview of methods for deriving the radiative transfer theory from the Maxwell equations. II: Approach based on the Dyson and Bethe-Salpeter equations. Journal of Quantitative Spectroscopy & Radiative Transfer, 224, pp. 25-36. Elsevier. DOI: 10.1016/j.jqsrt.2018.10.032 ISSN 0022-4073

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Official URL: https://www.sciencedirect.com/science/article/pii/S0022407318305831

Abstract

In this paper, the vector radiative transfer equation is derived by means of the vector integral Foldy equations describing the electromagnetic scattering by a group of particles. By assuming that in a discrete random medium the positions of the particles are statistically independent and by applying the Twersky approximation to the order-of-scattering expansion of the total field, we derive the Dyson equation for the coherent field and the ladder approximated Bethe–Salpeter equation for the dyadic correlation function. Then, under the far-field assumption for sparsely distributed particles, the Dyson equation is reduced to the Foldy integral equation for the coherent field, while the iterated solution of the Bethe-Salpeter equation ultimately yields the vector radiative transfer equation.

Item URL in elib:https://elib.dlr.de/125127/
Document Type:Article
Title:An overview of methods for deriving the radiative transfer theory from the Maxwell equations. II: Approach based on the Dyson and Bethe-Salpeter equations
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Doicu, AdrianAdrian.Doicu (at) dlr.deUNSPECIFIED
Mishchenko, MichaelNASA GISS, New York, NY, USAUNSPECIFIED
Date:February 2019
Journal or Publication Title:Journal of Quantitative Spectroscopy & Radiative Transfer
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:224
DOI :10.1016/j.jqsrt.2018.10.032
Page Range:pp. 25-36
Publisher:Elsevier
ISSN:0022-4073
Status:Published
Keywords:radiative transfer, electromagnetic scattering theory
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 - Remote sensing and geoscience
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Doicu, Adrian
Deposited On:17 Dec 2018 11:31
Last Modified:01 Mar 2020 03:00

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