Details

Autor(en) / Beteiligte

• Du, Rong
• Cai, Xiao-Xiao

Titel

Convolutional discrete Fourier transform method for calculating thermal neutron cross section in liquids

Ist Teil von

• Journal of computational physics, 2022-10, Vol.466, p.111382, Article 111382

Ort / Verlag

Cambridge: Elsevier Science Ltd

Erscheinungsjahr

2022

Quelle

Access via ScienceDirect (Elsevier)

Beschreibungen/Notizen

• Being exact at both short- and long-time limits, the Gaussian approximation is widely used to calculate neutron incoherent inelastic scattering functions in liquids. However, to overcome a few numerical difficulties, extra physical approximations are often employed to ease the evaluation. In this work, a new numerical method, called convolutional discrete Fourier transform, is proposed to perform Fourier transform of exp⁡[−f(t)]. We have applied this method to compute the differential cross sections of light water up to 10 eV. The obtained results, thoroughly benchmarked against experimental data, showed a much higher dynamic range than conventional fast Fourier transform. The calculated integral cross sections agree closely with the light water data in the state-of-the-art nuclear data library. It is in evidence that this numerical method can be used in the place of the extra physical approximations.