An Invariant Imbedding, Orders-of-Scattering Approach to Particle Transport in a Slab
Physical sciences research papers
AIR FORCE CAMBRIDGE RESEARCH LABS HANSCOM AFB MA
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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.
- Numerical Mathematics