Article ID Journal Published Year Pages File Type
1741493 Progress in Nuclear Energy 2006 6 Pages PDF
Abstract

New analytical formulas for construction of the gamma-ray shielding formulas for a plane, a disk, a cylindrical or a spherical surface (volume) sources are proposed depending on the functional of the binomial coefficients. Numerical stability and optimization of such analytical relations become more important with increasing degree and order. Some numerical results are presented for significant mapping examples and they are briefly discussed. The computation results are compared with those of previously published studies. Using the derived expressions the gamma-ray shielding formulas can be evaluated most efficiently and accurately for μt=0,1,2μt=0,1,2.

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Physical Sciences and Engineering Energy Energy Engineering and Power Technology
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