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Calculation of Gamma Ray Buildup Factors for a Very Thick Slab with Angular Eigenvalue Method

The buildup factors of gamma rays are still widely used in the practical shielding calculations. Although the early compilation of buildup factors was published back to 50’s, it is still a tedious, though straightforward, task even for state-of-the-art computers. The most recent database of buildup factors covers the distance up to 40 mean free paths. The angular eigenvalue method, which was proposed by one of the author (A. S.) to calculate the transmission of gamma rays through a homogeneous slab, is based fundamentally on the invariant embedding method. This method has been applied to obtain the gamma ray buildup factors in homogeneous medium. It was found that the buildup factors were easily obtained for the distance over 40 mean free paths.