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A Closed-Form Formulation for the Build-Up Factor and Absorbed Energy for Photons and Electrons in the Compton Energy Range in Cartesian Geometry

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DOI: 10.4236/wjnst.2012.21004    4,987 Downloads   8,162 Views   Citations

ABSTRACT

In this work, we report on a closed-form formulation for the build-up factor and absorbed energy, in one and two di- mensional Cartesian geometry for photons and electrons, in the Compton energy range. For the one-dimensional case we use the LTSN method, assuming the Klein-Nishina scattering kernel for the determination of the angular radiation intensity for photons. We apply the two-dimensional LTSN nodal solution for the averaged angular radiation evaluation for the two-dimensional case, using the Klein-Nishina kernel for photons and the Compton kernel for electrons. From the angular radiation intensity we construct a closed-form solution for the build-up factor and evaluate the absorbed energy. We present numerical simulations and comparisons against results from the literature.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

V. Borges, J. Fernandes, B. Bodmann, M. Vilhena and B. Rodriguez, "A Closed-Form Formulation for the Build-Up Factor and Absorbed Energy for Photons and Electrons in the Compton Energy Range in Cartesian Geometry," World Journal of Nuclear Science and Technology, Vol. 2 No. 1, 2012, pp. 23-28. doi: 10.4236/wjnst.2012.21004.

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