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Title: Solution of the stationary radiation transport problem for energy scattering using matrix functions

Abstract

The transport equation of Boltzmann is formulated and solved by means of an infinite equation of matrices for the case of the stationary rectilinear propagation of radiation with respect to energy scattering only. It is shown that the matrix formalism is the proper one to explain the qualities of transformations and the non-commutativity of the radiation transmitted through compound, heterogeneous layers of material. Furthermore, an analytical and perspicuous representation of the transmission of divergent beams is given. Finally, simple equations for the flux of radiation, the mean range, and the counting rate are set up. (1 figure) (auth)

Authors:
;
Publication Date:
Research Org.:
Paedagogische Hochschule, Erfurt, Ger.
OSTI Identifier:
4392511
NSA Number:
NSA-29-011702
Resource Type:
Journal Article
Journal Name:
Kernenergie, v. 16, no. 2, pp. 47-52
Additional Journal Information:
Other Information: GE. Orig. Receipt Date: 30-JUN-74
Country of Publication:
Country unknown/Code not available
Language:
English
Subject:
N72100* -Physics (Radiation & Shielding)-Radiation Physics; *BOLTZMANN EQUATION- ANALYTICAL SOLUTION; *TRANSPORT THEORY; ABSORPTION; ENERGY; MATRICES; RADIATIONS; RANGE; SCATTERING

Citation Formats

Melcher, H, and Gerth, E. Solution of the stationary radiation transport problem for energy scattering using matrix functions. Country unknown/Code not available: N. p., 1973. Web.
Melcher, H, & Gerth, E. Solution of the stationary radiation transport problem for energy scattering using matrix functions. Country unknown/Code not available.
Melcher, H, and Gerth, E. Thu . "Solution of the stationary radiation transport problem for energy scattering using matrix functions". Country unknown/Code not available.
@article{osti_4392511,
title = {Solution of the stationary radiation transport problem for energy scattering using matrix functions},
author = {Melcher, H and Gerth, E},
abstractNote = {The transport equation of Boltzmann is formulated and solved by means of an infinite equation of matrices for the case of the stationary rectilinear propagation of radiation with respect to energy scattering only. It is shown that the matrix formalism is the proper one to explain the qualities of transformations and the non-commutativity of the radiation transmitted through compound, heterogeneous layers of material. Furthermore, an analytical and perspicuous representation of the transmission of divergent beams is given. Finally, simple equations for the flux of radiation, the mean range, and the counting rate are set up. (1 figure) (auth)},
doi = {},
url = {https://www.osti.gov/biblio/4392511}, journal = {Kernenergie, v. 16, no. 2, pp. 47-52},
number = ,
volume = ,
place = {Country unknown/Code not available},
year = {1973},
month = {2}
}