Abstract
The present article describes calculations about deep penetration of gamma rays by the angular eigenvalue method, that has been developed as a new semi-analytical method for radiation transport problems in slabs. The angular eigen-value method has a feature that it can be extended to penetration of radiation through thick slabs (deep penetration) more easily than other method, since solutions are given analytically as a function of the slab thickness.. Exposure buildup factors for concrete slabs under slant incidence conditions were calculated by the present method, and were found in good agreement with Monte Carlo calculations by Fournie and Chilton up to the thickness of 10 mfp (mean free paths). Calculations were extended to the thickness of 50 mfp. Exposure buildup factors for point isotropic sources in infinite homogeneous medium of water, iron, and lead were calculated for various source energies by the present method. The buildup factors obtained were found in good agreement with Monte Carlo calculations by Hirayama up to the distance of 40 mfp. Calculations were tried to be extended to 60 mfp.
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