A new method for the doppler broadening of the Solbrig's kernel using a fourier transform

G. Ferran; W. Haeck; M. Gonin

doi:10.13182/NSE14-64

A new method for the doppler broadening of the Solbrig's kernel using a fourier transform

G. Ferran
, W. Haeck
, M. Gonin

École Polytechnique

IRSN Institut de Radioprotection et de Sureté Nucléaire

Research output: Contribution to journal › Article › peer-review

Abstract

This paper describes in detail a new method to calculate the integral that appears in the expression of cross-section Doppler broadening. This method is based on a Fourier transform and seems quite promising as our tests suggest it is able to reach any required precision within a reasonable amount of calculation time. Another method to calculate Doppler-broadened cross sections based on Gauss quadrature will be presented, even if it requires too much computation time to be of practical use. Both methods have been implemented in a new nuclear data-processing software called GAIA, which is currently under development at the French Institut de Radioprotection et de Sûreté Nucléaire. Results of the comparison of the broadened cross sections obtained with the GAIA methods and with the NJOY processing system are discussed in the paper.

Original language	English
Pages (from-to)	285-301
Number of pages	17
Journal	Nuclear Science and Engineering
Volume	179
Issue number	3
DOIs	https://doi.org/10.13182/NSE14-64
Publication status	Published - 1 Mar 2015

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title = "A new method for the doppler broadening of the Solbrig's kernel using a fourier transform",

abstract = "This paper describes in detail a new method to calculate the integral that appears in the expression of cross-section Doppler broadening. This method is based on a Fourier transform and seems quite promising as our tests suggest it is able to reach any required precision within a reasonable amount of calculation time. Another method to calculate Doppler-broadened cross sections based on Gauss quadrature will be presented, even if it requires too much computation time to be of practical use. Both methods have been implemented in a new nuclear data-processing software called GAIA, which is currently under development at the French Institut de Radioprotection et de S{\^u}ret{\'e} Nucl{\'e}aire. Results of the comparison of the broadened cross sections obtained with the GAIA methods and with the NJOY processing system are discussed in the paper.",

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AB - This paper describes in detail a new method to calculate the integral that appears in the expression of cross-section Doppler broadening. This method is based on a Fourier transform and seems quite promising as our tests suggest it is able to reach any required precision within a reasonable amount of calculation time. Another method to calculate Doppler-broadened cross sections based on Gauss quadrature will be presented, even if it requires too much computation time to be of practical use. Both methods have been implemented in a new nuclear data-processing software called GAIA, which is currently under development at the French Institut de Radioprotection et de Sûreté Nucléaire. Results of the comparison of the broadened cross sections obtained with the GAIA methods and with the NJOY processing system are discussed in the paper.

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JO - Nuclear Science and Engineering

JF - Nuclear Science and Engineering

IS - 3

ER -

A new method for the doppler broadening of the Solbrig's kernel using a fourier transform

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