{"title":"Fourier modal method for calculating neutron scattering from surface-relief and bulk diffraction gratings","authors":"Maxim Zakharov, Alexander Frank, German Kulin","doi":"10.1107/S1600576725000615","DOIUrl":null,"url":null,"abstract":"<p>We report a rigorous method for calculating the interaction of neutron waves with a periodic potential structure. In earlier work, several assumptions and simplifications were used in methods describing the diffraction of neutron waves from relief gratings. The approach presented here is based on the Fourier modal method widely used in electromagnetic wave optics, which has been adapted for the case of a neutron wave. It allows consideration of the mutual influence of waves of different diffraction orders and has no restrictions on either the range of energies under consideration or the shape of the structure profile. The developed theory makes it possible to accurately interpret the results of experiments on neutron scattering on surface-relief and bulk periodic structures.</p>","PeriodicalId":48737,"journal":{"name":"Journal of Applied Crystallography","volume":"58 2","pages":"412-418"},"PeriodicalIF":5.2000,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Crystallography","FirstCategoryId":"88","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1107/S1600576725000615","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
We report a rigorous method for calculating the interaction of neutron waves with a periodic potential structure. In earlier work, several assumptions and simplifications were used in methods describing the diffraction of neutron waves from relief gratings. The approach presented here is based on the Fourier modal method widely used in electromagnetic wave optics, which has been adapted for the case of a neutron wave. It allows consideration of the mutual influence of waves of different diffraction orders and has no restrictions on either the range of energies under consideration or the shape of the structure profile. The developed theory makes it possible to accurately interpret the results of experiments on neutron scattering on surface-relief and bulk periodic structures.
期刊介绍：
Many research topics in condensed matter research, materials science and the life sciences make use of crystallographic methods to study crystalline and non-crystalline matter with neutrons, X-rays and electrons. Articles published in the Journal of Applied Crystallography focus on these methods and their use in identifying structural and diffusion-controlled phase transformations, structure-property relationships, structural changes of defects, interfaces and surfaces, etc. Developments of instrumentation and crystallographic apparatus, theory and interpretation, numerical analysis and other related subjects are also covered. The journal is the primary place where crystallographic computer program information is published.
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