Use of eigenfunctions for solving radiation transfer in anisotropically scattering, plane-parallel media

Stefan Thynell, M. N. Özişik

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Radiation transfer in an absorbing, emitting, gray, anisotropically scattering, plane-parallel medium is solved by using the naturally occurring eigenfunctions, and expressions for the forward and backward radiation intensities, the incident radiation, and forward and backward radiation heat fluxes are presented. To illustrate the method of solution, the situation involving an externally incident isotropic radiation at the boundary surface x=0 and no energy sources in the medium is considered for the cases of four different scattering phase functions. It is shown that the convergence to the exact results is fast, and that lower order approximations are accurate. In addition, the present method of solution has an excellent potential for generalization to problems of plane-parallel media without azimuthal symmetry and to problems in cylindrical and spherical geometries.

Original languageEnglish (US)
Pages (from-to)541-551
Number of pages11
JournalJournal of Applied Physics
Volume60
Issue number2
DOIs
StatePublished - Dec 1 1986

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eigenvectors
radiation
scattering
incident radiation
energy sources
radiant flux density
heat flux
symmetry
geometry
approximation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

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abstract = "Radiation transfer in an absorbing, emitting, gray, anisotropically scattering, plane-parallel medium is solved by using the naturally occurring eigenfunctions, and expressions for the forward and backward radiation intensities, the incident radiation, and forward and backward radiation heat fluxes are presented. To illustrate the method of solution, the situation involving an externally incident isotropic radiation at the boundary surface x=0 and no energy sources in the medium is considered for the cases of four different scattering phase functions. It is shown that the convergence to the exact results is fast, and that lower order approximations are accurate. In addition, the present method of solution has an excellent potential for generalization to problems of plane-parallel media without azimuthal symmetry and to problems in cylindrical and spherical geometries.",
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Use of eigenfunctions for solving radiation transfer in anisotropically scattering, plane-parallel media. / Thynell, Stefan; Özişik, M. N.

In: Journal of Applied Physics, Vol. 60, No. 2, 01.12.1986, p. 541-551.

Research output: Contribution to journalArticle

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