engleski

Dose fields from plane sources using buildup data in the form of an expanded polynomial set

Plane sources with slab shield are frequently encountered in gamma-ray attenuation problems. In the realm of the Point Kernel Integration Method, plane sources with slab shield are often used, as an approximation for more general source-shield geometry in the preliminary reactor shield design and related radiation safety analysis. Recently, the point source buildup factor data approximation in the form of an expanded polynomial set was successfully introduced. In this paper, it is demonstrated that this function fits into the integrand of the Point Kernel, for the circular disk source with general cosine emission, in such a fashion that the modified integrand is still as easily integrated as before. The result is expressible in terms of incomplete gamma-function. Furthermore, this result can be used as the basis for the solution of various infinite slab source-shield geometry problems that lead to the similar integrable kernels.

buildup; gamma-ray; dose fields; approximation; expanded polynomials

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