Linear transport in nonhomogeneous media. IV

Journal Article · Sat Mar 31 23:00:00 EST 1984 · Transp. Theory Stat. Phys.; (United States)

DOI:https://doi.org/10.1080/00411458408214491· OSTI ID:5546281

Larsen, E W

A set of continuum and discrete eigenfunctoins, derived previously for half-space transport problems with a scattering ratio that is a bilinear function of position, is examined. For a Hoelder continuous angular flux incident on the half-space, this engenfunction set is proved to be half-range complete and the expansion coefficient for the continuum eigenfunctions is proved to be a continuous function of the spectral variable ..nu... Also, equations for the exiting flux, which are derived using this eigenfunction set, are proved to possess a unique, analytic solution.

• Research Organization: University of California, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 5546281
• Journal Information: Transp. Theory Stat. Phys.; (United States), Journal Name: Transp. Theory Stat. Phys.; (United States) Vol. 13:2; ISSN TTSPB
• Country of Publication: United States
• Language: English

Related Subjects

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Shielding Calculations & Experiments
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUNDARY CONDITIONS
EIGENFUNCTIONS
FUNCTIONS
TRANSPORT THEORY