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

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 13, 1976
Accession Number
ADA024155

Entities

People

  • John C. Garth
  • Stanley Woolf

Organizations

  • Air Force Cambridge Research Laboratories

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Backscattering
  • Boltzmann Equation
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Forward Scattering
  • Geometry
  • Integral Equations
  • Mean Free Path
  • Neutron Scattering
  • Partial Differential Equations
  • Radiative Transfer
  • Scattering
  • Thin Films
  • Three Dimensional

Readers

  • Aerosol Science/Aerosol Physics
  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering