An Approximation for the Doppler Broadening Function and Interference Term Using Fourier Series - World Journal of Nuclear Science and Technology

WJNST > Vol.2 No.4, October 2012

World Journal of Nuclear Science and Technology

Volume 2, Issue 4 (October 2012)

ISSN Print: 2161-6795 ISSN Online: 2161-6809

Google-based Impact Factor: 0.38 Citations h5-index & Ranking

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

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DOI: 10.4236/wjnst.2012.24021 6,559 Downloads 9,069 Views Citations

Author(s)

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

Affiliation(s)

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

ABSTRACT

The calculation of the Doppler broadening function $\psi (\chi,\xi)$ and of the interference term $\chi(\chi ,\xi)$ 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, $\psi(\chi,\xi)$ and $\chi(\chi ,\xi)$ , 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

Share and Cite:

A. Goncalves, D. Palma and A. Martinez, "An Approximation for the Doppler Broadening Function and Interference Term Using Fourier Series," World Journal of Nuclear Science and Technology, Vol. 2 No. 4, 2012, pp. 144-149. doi: 10.4236/wjnst.2012.24021.

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[2]	AN ANALYTICAL APPROXIMATION FOR THE GENERALIZED INTERFERENCE TERM USING THE KANIADAKIS DISTRIBUTION
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[3]	New Approach to Estimation of Thermal Broadening of Neutron Resonances
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[4]	A new formulation for the Doppler broadening function relaxing the approximations of Beth–Plackzec
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[5]	A New Method for the Doppler Broadening of the Solbrig's Kernel Using a Fourier Transform
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