On Green's function for spherically symmetric problems of transfer of polarized radiation

Analytic expressions for Green's function describing the process of transfer of polarized radiation in homogeneous isotropic infinite medium in case of spherical symmetry and nonconservative scattering are obtained. Spherical eigenfunctions of the homogeneous transfer equation are not used, due...

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Bibliographic Details
Published inJournal of quantitative spectroscopy & radiative transfer Vol. 96; no. 3; pp. 451 - 472
Main Author Freimanis, J.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2005
Subjects
Eigenfunctions
Exact solutions
Green's functions
Mathematical analysis
Polarized radiation
Radiative transfer
Scattering
Symmetry
Transformations
Scattering
Radiative transfer
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Summary:Analytic expressions for Green's function describing the process of transfer of polarized radiation in homogeneous isotropic infinite medium in case of spherical symmetry and nonconservative scattering are obtained. Spherical eigenfunctions of the homogeneous transfer equation are not used, due to their strong divergence; instead, direct transformation from plane-parallel to spherical symmetry is carried out, leading to convergent solutions. The possible existence of generalized eigenfunctions of homogeneous transfer equation is accounted for.
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ISSN:0022-4073
1879-1352
DOI:10.1016/j.jqsrt.2004.11.013