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Electromagnetic scattering by discrete random media. I: The dispersion equation and the configuration-averaged exciting field

Doicu, Adrian and Mishchenko, Michael (2019) Electromagnetic scattering by discrete random media. I: The dispersion equation and the configuration-averaged exciting field. Journal of Quantitative Spectroscopy & Radiative Transfer, 230, pp. 282-303. 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

We consider the scattering of a plane electromagnetic wave obliquely incident on a plane-parallel layer of discrete random medium with non-scattering boundaries. We solve the Lax integral equation for the conditional configuration-averaged exciting field coefficients by assuming a special-form solution, that is, by representing the conditional configuration-averaged exciting field coefficients as a linear combination of the coefficients corresponding to an up-going and a down-going wave. This solution representation is supposed to be valid within the whole domain occupied by the particles, even in the close proximity of the boundaries. By balancing the waves with different propagation directions and wavenumbers we derive two homogeneous systems of equations corresponding to the generalized Lorenz–Lorentz law and two inhomogeneous systems of equations corresponding to the generalized Ewald–Oseen extinction theorem. It is shown that (i) the two homogeneous systems of equations of the generalized Lorenz–Lorentz law reduce to a single homogeneous system of equations corresponding to a semi-infinite discrete random medium at normal incidence; (ii) the dispersion equation is direction and polarization independent; and (iii) the two inhomogeneous systems of equations of the generalized Ewald–Oseen extinction theorem can be reduced to two scalar equations by means of the addition theorem for vector spherical harmonics. It is also shown that the same dispersion equation can be obtained without assuming a special-form solution representation in the proximity of the boundaries.

Item URL in elib:https://elib.dlr.de/131976/
Document Type:Article
Title:Electromagnetic scattering by discrete random media. I: The dispersion equation and the configuration-averaged exciting field
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Doicu, AdrianAdrian.Doicu (at) dlr.deUNSPECIFIED
Mishchenko, MichaelNASA GISS, New York, NY, USAUNSPECIFIED
Date:March 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:230
DOI :10.1016/j.jqsrt.2018.10.032
Page Range:pp. 282-303
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 - Vorhaben Atmosphären- und Klimaforschung
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Doicu, Adrian
Deposited On:05 Dec 2019 10:54
Last Modified:01 May 2020 03:00

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