Kernenergie, 1973, V. 16, No. 2, pp. 47-52, German
Solution of the stationary radiation transport problem for energy scattering
using matrix functions

Horst Melcher and Ewald Gerth
1. Paedagogische Hochschule Erfurt-Muehlhausen, Germany
2. Academy of Sciences of the GDR, Central Institute of Astrophysics, Potsdam (GDR)

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.

P 42. Melcher H., Gerth E.:
Loesung des Strahlungstransportproblems fuer Energiestreuung mit Hilfe von Matrixfunktionen
Kernenergie 16 (1973) 47-52
Abstract:
Solution of the stationary radiation transport problem
for energy scattering using matrix functions
Quoted by: Energy Citations Database
Preceding publications:

P 39. Melcher H., Gerth E.:
Behandlung von Strahlungstransportproblemen mit Matrixfunktionen
Wiss. Z. PH Erfurt-Muehlhausen 8 (1972) 3-10
Abstract:
Analytical treatment of the radiative transfer by means of matrix functions
Abstract HTML-Version
P 44. Melcher H., Gerth E.:
Analytische Behandlung und numerische Berechnung
der Umwandlungsreihen von Radionukliden
mit Hilfe von Matrixfunktionen
Wiss. Z. PH Erfurt-Muehlhausen 9 (1973) 21-30
Abstract:
Analytical treatment and numerical calculation
of conversion series of radionuclides
by means of matrix functions
www.ewald-gerth.de/42abs.htm