A 1D radiative transfer benchmark with polarization via doubling and adding

Research output: Research - peer-reviewArticle

Abstract

Highly precise numerical solutions to the radiative transfer equation with polarization present a special challenge. Here, we establish a precise numerical solution to the radiative transfer equation with combined Rayleigh and isotropic scattering in a 1D-slab medium with simple polarization. The 2-Stokes vector solution for the fully discretized radiative transfer equation in space and direction derives from the method of doubling and adding enhanced through convergence acceleration. Updates to benchmark solutions found in the literature to seven places for reflectance and transmittance as well as for angular flux follow. Finally, we conclude with the numerical solution in a partially randomly absorbing heterogeneous medium.

LanguageEnglish (US)
Pages236-250
Number of pages15
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume201
DOIs
StatePublished - Nov 1 2017

Fingerprint

radiative transfer
polarization
Radiative transfer
Polarization
Rayleigh scattering
transmittance
slabs
reflectance
scattering
Scattering
Fluxes

ASJC Scopus subject areas

  • Radiation
  • Atomic and Molecular Physics, and Optics
  • Spectroscopy

Cite this

@article{b47e309e87794a57a7f7212a5f4d71ca,
title = "A 1D radiative transfer benchmark with polarization via doubling and adding",
abstract = "Highly precise numerical solutions to the radiative transfer equation with polarization present a special challenge. Here, we establish a precise numerical solution to the radiative transfer equation with combined Rayleigh and isotropic scattering in a 1D-slab medium with simple polarization. The 2-Stokes vector solution for the fully discretized radiative transfer equation in space and direction derives from the method of doubling and adding enhanced through convergence acceleration. Updates to benchmark solutions found in the literature to seven places for reflectance and transmittance as well as for angular flux follow. Finally, we conclude with the numerical solution in a partially randomly absorbing heterogeneous medium.",
author = "Ganapol, {B. D.}",
year = "2017",
month = "11",
doi = "10.1016/j.jqsrt.2017.06.028",
volume = "201",
pages = "236--250",
journal = "Journal of Quantitative Spectroscopy and Radiative Transfer",
issn = "0022-4073",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - A 1D radiative transfer benchmark with polarization via doubling and adding

AU - Ganapol,B. D.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - Highly precise numerical solutions to the radiative transfer equation with polarization present a special challenge. Here, we establish a precise numerical solution to the radiative transfer equation with combined Rayleigh and isotropic scattering in a 1D-slab medium with simple polarization. The 2-Stokes vector solution for the fully discretized radiative transfer equation in space and direction derives from the method of doubling and adding enhanced through convergence acceleration. Updates to benchmark solutions found in the literature to seven places for reflectance and transmittance as well as for angular flux follow. Finally, we conclude with the numerical solution in a partially randomly absorbing heterogeneous medium.

AB - Highly precise numerical solutions to the radiative transfer equation with polarization present a special challenge. Here, we establish a precise numerical solution to the radiative transfer equation with combined Rayleigh and isotropic scattering in a 1D-slab medium with simple polarization. The 2-Stokes vector solution for the fully discretized radiative transfer equation in space and direction derives from the method of doubling and adding enhanced through convergence acceleration. Updates to benchmark solutions found in the literature to seven places for reflectance and transmittance as well as for angular flux follow. Finally, we conclude with the numerical solution in a partially randomly absorbing heterogeneous medium.

UR - http://www.scopus.com/inward/record.url?scp=85027328650&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85027328650&partnerID=8YFLogxK

U2 - 10.1016/j.jqsrt.2017.06.028

DO - 10.1016/j.jqsrt.2017.06.028

M3 - Article

VL - 201

SP - 236

EP - 250

JO - Journal of Quantitative Spectroscopy and Radiative Transfer

T2 - Journal of Quantitative Spectroscopy and Radiative Transfer

JF - Journal of Quantitative Spectroscopy and Radiative Transfer

SN - 0022-4073

ER -