Steady, one-dimensional multigroup neutron transport with anisotropic scattering. [contour integrals]

Journal Article · Fri Oct 01 04:00:00 EDT 1976 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.522826· OSTI ID:7175082

Larsen, E W; Zweifel, P F

The solution of steady, one-dimensional half-space multigroup transport problems with degenerate anisotropic scattering is obtained for L/sub 1/ sources and incident distributions. The solution is expressed in terms of contour integrals of the resolvent operator (lambdaI-K)/sup -1/, where K is the ''separated'' transport operator. The connection between this method and the ''Case eigenfunction'' method is briefly discussed, and the half-space albedo problem is treated in detail. This problem reduces to obtaining the Wiener--Hopf factorization of the dispersion matrix, hence to solving two coupled nonlinear, nonsingular matrix integral equations. (AIP)

• Research Organization: Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012
• OSTI ID: 7175082
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 17:10; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EIGENFUNCTIONS
FACTORIZATION
FUNCTIONS
MATHEMATICAL OPERATORS
MATRICES
MULTIGROUP THEORY
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
ONE-DIMENSIONAL CALCULATIONS
RADIATION TRANSPORT
SCATTERING
TRANSPORT THEORY