Title: The exposure buildup factor formulation in a slab and rectangle geometry by the LTS_N method

Authors: Barbara D. Amaral Rodriguez, Marco Tullio De Vilhena, Volnei Borges, Carlos Malamut

Addresses: Mechanical Engineering Pos-Graduation Program, Federal University of Rio Grande do Sul – UFRGS, Rua Sarmento Leite, 425 – sala 314, Porto Alegre, Rio Grande do Sul, Brazil. ' Pure and Applied Mathematics Department, Federal University of Rio Grande do Sul – UFRGS, Avenida Bento Goncalves 9500, Porto Alegre, Rio Grande do Sul, Brazil. ' Mechanical Engineering Pos-Graduation Program, Federal University of Rio Grande do Sul – UFRGS, Rua Sarmento Leite, 425 – sala 314, Porto Alegre, Rio Grande do Sul, Brazil. ' Centro de Desenvolvimento da Tecnologia Nuclear, Comissao Nacional de Energia Nuclear, Belo Horizonte, Minas Gerais, Brazil

Abstract: In this paper, we report a formulation for the exposure buildup factor by solving the one-dimensional photon transport equation in a heterogeneous slab by the LTS_N method, assuming the Klein-Nishina scattering kernel as the scattering differential cross-section as well as the multigroup model in the wavelength variable. We present numerical simulations and comparisons with available results in the literature for a multilayered slab composed of water, iron and lead. We also report an analytical solution to the exposure buildup factor by solving the photon transport equation in a rectangle applying the LTS_N nodal method.

Keywords: exposure buildup factor; Klein-Nishina scattering kernel; multigroup model; LTS_N nodal method; low radiation; photon transport equation.

DOI: 10.1504/IJLR.2007.015435

International Journal of Low Radiation, 2007 Vol.4 No.2, pp.102 - 116

Published online: 17 Oct 2007 *

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