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

Journal Article · Thu Feb 01 00:00:00 EST 1973 · Kernenergie, v. 16, no. 2, pp. 47-52

OSTI ID:4392511

Melcher, H; Gerth, E

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)

• Research Organization: Paedagogische Hochschule, Erfurt, Ger.
• NSA Number: NSA-29-011702
• OSTI ID: 4392511
• Journal Information: Kernenergie, v. 16, no. 2, pp. 47-52, Other Information: GE. Orig. Receipt Date: 30-JUN-74
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

N72100* -Physics (Radiation & Shielding)-Radiation Physics
*BOLTZMANN EQUATION- ANALYTICAL SOLUTION
*TRANSPORT THEORY
ABSORPTION
ENERGY
MATRICES
RADIATIONS
RANGE
SCATTERING