Cylindrically symmetric eigenfunctions of polarized radiative transfer equation

•Expressions for cylindrically symmetric eigenfunctions of polarized RTE proved.•Method of semi-analytic modelling of radiation field inside cylinder outlined.•Quadratic recurrent relations for Wigner d-functions proved. The general expressions for cylindrically symmetric eigenfunctions of polarized...

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Bibliographic Details
Published inJournal of quantitative spectroscopy & radiative transfer Vol. 225; pp. 227 - 248
Main Author Freimanis, J.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2019
Subjects
Cylindrical symmetry
Eigenfunctions
Polarization
Radiative transfer
Polarization
Eigenfunctions
Cylindrical symmetry
53Z05
Radiative transfer
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Summary:•Expressions for cylindrically symmetric eigenfunctions of polarized RTE proved.•Method of semi-analytic modelling of radiation field inside cylinder outlined.•Quadratic recurrent relations for Wigner d-functions proved. The general expressions for cylindrically symmetric eigenfunctions of polarized radiative transfer equation in homogeneous space obeying Euclidean geometry are derived and proved. The medium is assumed to be statistically homogeneously filled with polydisperse particles, the effective medium (host medium together with particles) is assumed to be isotropic, and birefringence (both linear and circular) is assumed to be negligible.
ISSN:0022-4073
1879-1352
DOI:10.1016/j.jqsrt.2018.12.033