engleski

Point kernel calculation of dose fields from line sources using expanded polynomial form of buildup factor data : generalized secant integral - series representation

Recently, point source buildup factor data approximation, in the form of an expanded polynomial set, was successfully introduced. In this paper, it is demonstrated how that function fits into the integrand of the Point Kernel for line source with slab shield, leading to the generalized Secant integrals.Two rapidly convergent series representations are introduced for such integrals : one for the interval (0, Pi/4) and another for (Pi/4, Pi/2). An upper bound of the absolute error assures significant improvement of accuracy for every additional term of the series.

buildup ; point kernel ; secant integral ; sievert integral ; approximation ; expanded polynomials ; shielding

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