An Invariant Imbedding Orders Of Scattering Approach To Particle Transport In A Slab

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An Invariant Imbedding, Orders-of-scattering Approach to Particle Transport in a Slab

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.
An Invariant Imbedding, Orders-of-Scattering Approach to Particle Transport in a Slab

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.
ERDA Energy Research Abstracts

Author: United States. Energy Research and Development Administration
language: en
Publisher:
Release Date: 1977