Traveling mode solution of transport-theory problems by inspection
- 1 January 1972
- journal article
- research article
- Published by Taylor & Francis in Transport Theory and Statistical Physics
- Vol. 2 (3) , 181-196
- https://doi.org/10.1080/00411457208232536
Abstract
The differential neutron flux in slab geometry can be represented as a linear combination of traveling eigenmodes that propagate with exponential decay as functions of distance. The operators that serve to analyze the flux into mode amplitudes and to synthesize the flux from the mode amplitudes are determined. The particular analyzers and synthesizers it is appropriate to use in any given situation depend on the boundary conditions. These operators have an interpretation independent of any particular problem. The fluxes of interest can be written down almost by inspection in terms of these operators.Keywords
This publication has 6 references indexed in Scilit:
- Relation between the transfer matrix method and case's methodTransport Theory and Statistical Physics, 1971
- Transfer Matrix Solution of Some One- and Two-Medium Transport Problems in Slab GeometryJournal of Mathematical Physics, 1970
- Symmetry Relationships for Scattering of Polarized Light in a Slab of Randomly Oriented ParticlesJournal of the Atmospheric Sciences, 1969
- One-Velocity Neutron Transport Problems by the Transfer Matrix MethodNuclear Science and Engineering, 1967
- Transfer-Matrix Method for Gamma-Ray and Neutron PenetrationJournal of Mathematical Physics, 1966
- Neutron Transport TheoryPhysics Today, 1958