An Approximation for the Doppler Broadening Function and Interference Term Using Fourier Series

Alessandro da C. Goncalves, Daniel A. P. Palma, Aquilino S. Martinez

Brazilian Nuclear Energy Commission, Rio de Janeiro, Brazil.
Department Nuclear Engineering, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil.

DOI: 10.4236/wjnst.2012.24021                

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.

Keywords

Doppler Broadening Function; Fourier Series; New Formulation for the Interference

Conflicts of Interest

The authors declare no conflicts of interest.

References

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