Convolutional discrete Fourier transform method for calculating thermal neutron cross section in liquids
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 wo...
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| Published in: | Journal of computational physics Vol. 466; p. 111382 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Cambridge
Elsevier Science Ltd
01.10.2022
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| Subjects: | |
| ISSN: | 0021-9991, 1090-2716 |
| Online Access: | Get full text |
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| Summary: | 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. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0021-9991 1090-2716 |
| DOI: | 10.1016/j.jcp.2022.111382 |