Single Scattering Streaming of Gamma-Rays through Cylindrical Ducts
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概要
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An exact equation, for use in the calculation of the γ-ray streaming after single scatterings in a cylindrical duct, and its approximate formula, are presented. The dose of single scatterings at the exit of a cylindrical duct from a disk source at the entrance can be approximated by<BR> D={4π/(n+1)}S<SUB>a</SUB>k<SUB>1</SUB>E<SUB>0</SUB>Q(L/R<SUB>0</SUB>)<SUP>-2</SUP> for s0 ?? L/R<SUB>0</SUB> ?? s1<BR>={4π/(n+1)}S<SUB>a</SUB>k<SUB>2</SUB>E<SUB>0</SUB>Q(L/R<SUB>0</SUB>)<SUP>-3</SUP> for s1 <L/R<SUB>0</SUB> ?? 60, <BR> where D = dose at the exit of the duct, S<SUB>a</SUB> = source strength, n = a parameter of the angular distribution of the source, E<SUB>0</SUB> = energy of the source photons, Q = conversion factor, R<SUB>0</SUB> = duct radius and L= duct length.<BR> The coefficients k<SUB>1</SUB> and k<SUB>2</SUB>, as well as the constants s<SUB>0</SUB> and s<SUB>1</SUB> vary with source energy and wall materials. The values for lead, iron, concrete, tin, magnetite concrete, graphite and water are given in graphical representation for an energy range from 0.5 to 10 MeV.<BR> A study is made of the distribution of the arrival probabilities of photons, corresponding to the positions of scattering points for the photons from the source to the duct exit. It was found that the effective scatterings contributing to the flux at the exit occur mainly in the shallow part of the duct wall, near its surface.
- 一般社団法人 日本原子力学会の論文