Induced Compton Scattering Effects in Radiation Transport Approximations
Gibson, Donald Richey, Jr.
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https://hdl.handle.net/2142/70879
Description
Title
Induced Compton Scattering Effects in Radiation Transport Approximations
Author(s)
Gibson, Donald Richey, Jr.
Issue Date
1982
Department of Study
Nuclear Engineering
Discipline
Nuclear Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Nuclear
Abstract
In this thesis the method of characteristics is used to solve radiation transport problems with induced Compton scattering effects included.
The methods used to date have only addressed problems in which either induced Compton scattering is ignored, or problems in which linear scattering is ignored. Also, problems which include both induced Compton scattering and spatial effects have not been considered previously. The introduction of induced scattering into the radiation transport equation results in a quadratic nonlinearity.
Methods are developed to solve problems in which both linear and nonlinear Compton scattering are important. Solutions to scattering problems are found for a variety of initial photon energy distributions.
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