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An Approximation for the Doppler Broadening Function and Interference Term Using Fourier Series
Department Nuclear Engineering, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
Brazilian Nuclear Energy Commission, Rio de Janeiro, Brazil
Department Nuclear Engineering, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
- 1 Department Nuclear Engineering, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
- 2 Brazilian Nuclear Energy Commission, Rio de Janeiro, Brazil
- 3 Department Nuclear Engineering, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
World Journal of Nuclear Science and Technology·Volume 02 (2012)·Pages 144–149·Published 31 October 2012·DOI10.4236/wjnst.2012.24021
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Abstract
The calculation of the Doppler broadening function and of the interference term are important in the generation of nuclear data. In a recent paper, Goncalves and Martinez proposed an analytical approximation for the calculation of both functions based in sine and cosine Fourier transforms. This paper presents new approximations for these functions, and , using expansions in Fourier series, generating expressions that are simple, fast and precise. Numerical tests applied to the calculation of scattering average cross section provided satisfactory accu- racy.
KeywordsDoppler Broadening FunctionFourier SeriesNew Formulation for the Interference
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