Fourier Transform Transport Solutions in Spherical Geometry

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

New transport solutions in infinite spherical geometry related to solutions in plane geometry are obtained through a Fourier transform analysis. The analysis leads to the true Green's function for spherical symmetry which is used in combination with Placzek's lemma to treat a finite spherical shell.

Original languageEnglish (US)
Pages (from-to)587-605
Number of pages19
JournalTransport Theory and Statistical Physics
Volume32
Issue number5-7
DOIs
StatePublished - 2003

Fingerprint

Spherical geometry
Fourier transform
Fourier transforms
mathematics
Spherical Symmetry
Spherical Shell
Geometry
spherical shells
geometry
Green's function
Lemma
Green's functions
theorems
symmetry

Keywords

  • Fourier transform
  • Spherical symmetry
  • Transport theory

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Fourier Transform Transport Solutions in Spherical Geometry. / Ganapol, Barry D.

In: Transport Theory and Statistical Physics, Vol. 32, No. 5-7, 2003, p. 587-605.

Research output: Contribution to journalArticle

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