Multidimensional inverse problem in transport theory
Journal Article
·
· Transp. Theory Stat. Phys.; (United States)
Multidimensional transport theory involving the inverse problem, which presents results applicable to radiative transfer and neutron transport theory for a homogeneous medium, is discussed. The Legendre expansion is used to construct the scattering kernel (or phase function) from assumed known experimental data described herein. Two cases are considered, the interior problem in which the medium contains a monodirectional point source and the exterior problem in which the medium is free of sources but is subjected to a plane wave source at infinity. Use of the principles of invariance is made to relate results of measurements with different geometries. The paper is an extension of earlier work on the one-dimensional case with azimuthal symmetry by Kanal and Moses.
- Research Organization:
- Clark Univ., Worcester, MA
- OSTI ID:
- 5634947
- Journal Information:
- Transp. Theory Stat. Phys.; (United States), Journal Name: Transp. Theory Stat. Phys.; (United States) Vol. 8:2; ISSN TTSPB
- Country of Publication:
- United States
- Language:
- English
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