Cylindrically symmetric eigenfunctions of polarized radiative transfer equation. (March 2019)

• Record Type: Journal Article
• Authors: Freimanis, J.
• Is Part Of: Journal of quantitative spectroscopy & radiative transfer. Volume 225(2019)
• Page Start: 227
• Page End: 248
• Publication Date: 2019-03
• Subjects: Radiative transfer -- Polarization -- Cylindrical symmetry -- Eigenfunctions; 53Z05; Spectrum analysis -- Periodicals; Radiation -- Periodicals; Analyse spectrale -- Périodiques; Rayonnement -- Périodiques; Radiation; Spectrum analysis; Periodicals; 543.0858
• DOI: 10.1016/j.jqsrt.2018.12.033
• Languages: English
• ISSNs: 0022-4073

Abstract

Highlights: 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. Abstract: 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.