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Overview of methods for deriving the radiative transfer theory from the Maxwell equations. I: Approach based on the far-field Foldy equations

Doicu, Adrian and Mishchenko, Michael (2018) Overview of methods for deriving the radiative transfer theory from the Maxwell equations. I: Approach based on the far-field Foldy equations. Journal of Quantitative Spectroscopy & Radiative Transfer, 220, pp. 123-139. Elsevier. DOI: 10.1016/j.jqsrt.2018.09.004 ISSN 0022-4073

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Official URL: https://www.sciencedirect.com/science/article/pii/S0022407318305521

Abstract

In this paper, we revisit, with further enhancements and clarifications, the self-consistent first-principles approach developed previously for deriving the vector radiative transfer theory for a discrete random medium with a sparse concentration of particles. We specifically consider the case of a plane-parallel particulate layer embedded in an otherwise homogeneous unbounded medium. The solution method is based on the far-field Foldy equations, an order-of-scattering expansion for the total field derived under the Twersky approximation, the computation of the coherent field by assuming that the positions of the particles are uncorrelated, and the ladder approximation for the coherency dyadic. The latter yields an integral equation for the diffuse specific coherency dyadic, defined through an angular spectrum representation for the coherency dyadic, which in turn, gives the vector radiative transfer equation for the diffuse specific intensity column vector. We analyze specifically the computation of the coherent field for inhomogeneous particulate media and multiple species of particles, the continuous extension of the far-field representation to the near field, the Foldy approximation, and the Foldy integral equation for the coherent field. Finally, we discuss the transition from the vector to the scalar radiative transfer equation.

Item URL in elib:https://elib.dlr.de/125124/
Document Type:Article
Title:Overview of methods for deriving the radiative transfer theory from the Maxwell equations. I: Approach based on the far-field Foldy equations
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Doicu, AdrianAdrian.Doicu (at) dlr.deUNSPECIFIED
Mishchenko, MichaelNASA GISS, New York, NY, USAUNSPECIFIED
Date:November 2018
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:220
DOI :10.1016/j.jqsrt.2018.09.004
Page Range:pp. 123-139
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 11:26
Last Modified:01 Dec 2019 03:00

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