From Fourier transforms to singular eigenfunctions for multigroup transport

Research output: Contribution to journalArticle

Abstract

A new Fourier transform approach to the solution of the multigroup transport equation with anisotropic scattering and isotropic source is presented. Through routine analytical continuation, the inversion contour is shifted from the real line to produce contributions from the poles and cuts in the complex plane. The integrand along the branch cut is then recast in terms of matrix continuum singular eigenfunctions, demonstrating equivalence of Fourier transform inversion and the singular eigenfunction expansion. The significance of this paper is that it represents the initial step in revealing the intimate connection between the Fourier transform and singular eigenfunction approaches as well as serves as a basis for a numerical algorithm.

Original languageEnglish (US)
Pages (from-to)400-410
Number of pages11
JournalNuclear Science and Engineering
Volume137
Issue number3
StatePublished - Mar 2001

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Eigenvalues and eigenfunctions
Fourier transforms
Poles
Scattering

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

Cite this

From Fourier transforms to singular eigenfunctions for multigroup transport. / Ganapol, Barry D.

In: Nuclear Science and Engineering, Vol. 137, No. 3, 03.2001, p. 400-410.

Research output: Contribution to journalArticle

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