X-ray specular scattering from statistically rough surfaces: A novel theoretical approach based on the Green function formalism
Acta Crystallographica Section A: Foundations of Crystallography, ISSN: 0108-7673, Vol: 66, Issue: 6, Page: 640-648
2010
- 2Citations
- 8Captures
Metric Options: CountsSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Article Description
The Green function formalism is applied to the problem of grazing-incidence small-angle X-ray scattering from statistically rough surfaces. Kirchhoffs integral equation is used to describe the X-ray wavefield propagation through a single rough surface separating vacuum and medium. Taking into account multiple diffuse X-ray scattering effects, the reflection R (θ) and transmission T (θ) coefficients of the specular wave are obtained using the Gaussian statistical model of rough surfaces in terms of the two-point height-height correlation function. In the limiting cases when the correlation length ξ is equal to zero or infinity, analytical formulae for the reflection R (θ) and transmission T (θ) coefficients of the specular wave are obtained. It is important that in the case ξ → they coincide with the corresponding reflection R (θ) and transmission T (θ) coefficients related to the conventional Debye-Waller approximation for describing the grazing X-ray scattering from a rough surface. In the case of finite values of correlation length ξ the reflection |R (θ)| and transmission |T (θ) | scans are numerically calculated. © 2010 International Union of Crystallography Printed in Singapore - all rights reserved.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=77958551125&origin=inward; http://dx.doi.org/10.1107/s0108767310030540; http://www.ncbi.nlm.nih.gov/pubmed/20962372; http://scripts.iucr.org/cgi-bin/paper?S0108767310030540; http://journals.iucr.org/a/issues/2010/06/00/au5106/au5106.pdf; https://journals.iucr.org/paper?S0108767310030540; https://dx.doi.org/10.1107/s0108767310030540
International Union of Crystallography (IUCr)
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know