Application of Invariant Imbedding to the Reflection and Transmission Problem of Gamma Rays, (I)

Abstract

Equations were derived for the reflection and transmission functions of γ-rays through slabs of finite thickness, making use of the invariant imbedding principle. Numerical solutions were obtained for the reflection function (albedo) of semi-infinite medium. The results agreed well with the solutions by Monte Carlo method. Comparisons were also made with experimental results. Fair agreement was obtained except for the angular distribution of the reflected photons from light elements.