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An invariant imbedding, orders-of-scattering approach to particle transport in a slab. Physical sciences research papers

Technical Report ·
OSTI ID:7333422
;
A novel, simplified approach to particle transport in slabs is given. The number of particles transmitted and reflected by a slab of finite thickness is obtained as a function of the number of collisions the particles receive. This 'orders-of-scattering' solution is facilitated by an invariant imbedding approach which leads to a set of integral recursion relations between transmitted and reflected particle currents. Solutions are given for both one-dimensional and three-dimensional transport in slabs for an arbitrary anisotropic scattering law. (GRA)
Research Organization:
Air Force Cambridge Research Labs., L.G. Hanscom Field, Mass. (USA)
OSTI ID:
7333422
Report Number(s):
AD-A-024155; AFCRL-TR-76-0023; AFCRL-PSRP-654
Country of Publication:
United States
Language:
English

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Related Subjects

654001* -- Radiation & Shielding Physics-- Radiation Physics
Shielding Calculations & Experiments
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOLTZMANN EQUATION
CHARGED-PARTICLE TRANSPORT
DIFFERENTIAL EQUATIONS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
INVARIANT IMBEDDING
LEPTONS
MONTE CARLO METHOD
ONE-DIMENSIONAL CALCULATIONS
RADIATION TRANSPORT
RECURSION RELATIONS
REFLECTION
SLABS
THREE-DIMENSIONAL CALCULATIONS
TRANSMISSION