Cargando…

Fast convolution-based performance estimation method for diffraction-limited source with imperfect X-ray optics

Although optical element error analysis is always an important part of beamline design for highly coherent synchrotron radiation or free-electron laser sources, the usual wave optics simulation can be very time-consuming, which limits its application at the early stage of the beamline design. In thi...

Descripción completa

Detalles Bibliográficos
Autores principales: Hu, Lingfei, Sutter, John P., Wang, Hongchang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: International Union of Crystallography 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7642962/
https://www.ncbi.nlm.nih.gov/pubmed/33147179
http://dx.doi.org/10.1107/S1600577520012825
_version_ 1783606183857225728
author Hu, Lingfei
Sutter, John P.
Wang, Hongchang
author_facet Hu, Lingfei
Sutter, John P.
Wang, Hongchang
author_sort Hu, Lingfei
collection PubMed
description Although optical element error analysis is always an important part of beamline design for highly coherent synchrotron radiation or free-electron laser sources, the usual wave optics simulation can be very time-consuming, which limits its application at the early stage of the beamline design. In this work, a new theoretical approach has been proposed for quick evaluations of the optical performance degradation due to optical element error. In this way, time-consuming detailed simulations can be applied only when truly necessary. This approach treats the imperfections as perturbations that convolve with the ideal performance. For simplicity, but not by necessity, the Gaussian Schell-model has been used to show the application of this theoretical approach. The influences of the finite aperture size and height error of a focusing mirror are analysed using the proposed theory. The physical explanation of the performance degradation acquired from the presented approach helps to give a better definition of the critical range of error spatial frequencies that most affect the performance of a mirror. An example comparing two mirror surface errors with identical power spectral density functions is given. These two types of mirror surface errors result in very different intensity profiles. The approach presented in this work could help beamline designers specify the error tolerances on general optical elements more accurately.
format Online
Article
Text
id pubmed-7642962
institution National Center for Biotechnology Information
language English
publishDate 2020
publisher International Union of Crystallography
record_format MEDLINE/PubMed
spelling pubmed-76429622020-11-17 Fast convolution-based performance estimation method for diffraction-limited source with imperfect X-ray optics Hu, Lingfei Sutter, John P. Wang, Hongchang J Synchrotron Radiat Research Papers Although optical element error analysis is always an important part of beamline design for highly coherent synchrotron radiation or free-electron laser sources, the usual wave optics simulation can be very time-consuming, which limits its application at the early stage of the beamline design. In this work, a new theoretical approach has been proposed for quick evaluations of the optical performance degradation due to optical element error. In this way, time-consuming detailed simulations can be applied only when truly necessary. This approach treats the imperfections as perturbations that convolve with the ideal performance. For simplicity, but not by necessity, the Gaussian Schell-model has been used to show the application of this theoretical approach. The influences of the finite aperture size and height error of a focusing mirror are analysed using the proposed theory. The physical explanation of the performance degradation acquired from the presented approach helps to give a better definition of the critical range of error spatial frequencies that most affect the performance of a mirror. An example comparing two mirror surface errors with identical power spectral density functions is given. These two types of mirror surface errors result in very different intensity profiles. The approach presented in this work could help beamline designers specify the error tolerances on general optical elements more accurately. International Union of Crystallography 2020-10-23 /pmc/articles/PMC7642962/ /pubmed/33147179 http://dx.doi.org/10.1107/S1600577520012825 Text en © Hu, Sutter and Wang 2020 http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.http://creativecommons.org/licenses/by/4.0/
spellingShingle Research Papers
Hu, Lingfei
Sutter, John P.
Wang, Hongchang
Fast convolution-based performance estimation method for diffraction-limited source with imperfect X-ray optics
title Fast convolution-based performance estimation method for diffraction-limited source with imperfect X-ray optics
title_full Fast convolution-based performance estimation method for diffraction-limited source with imperfect X-ray optics
title_fullStr Fast convolution-based performance estimation method for diffraction-limited source with imperfect X-ray optics
title_full_unstemmed Fast convolution-based performance estimation method for diffraction-limited source with imperfect X-ray optics
title_short Fast convolution-based performance estimation method for diffraction-limited source with imperfect X-ray optics
title_sort fast convolution-based performance estimation method for diffraction-limited source with imperfect x-ray optics
topic Research Papers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7642962/
https://www.ncbi.nlm.nih.gov/pubmed/33147179
http://dx.doi.org/10.1107/S1600577520012825
work_keys_str_mv AT hulingfei fastconvolutionbasedperformanceestimationmethodfordiffractionlimitedsourcewithimperfectxrayoptics
AT sutterjohnp fastconvolutionbasedperformanceestimationmethodfordiffractionlimitedsourcewithimperfectxrayoptics
AT wanghongchang fastconvolutionbasedperformanceestimationmethodfordiffractionlimitedsourcewithimperfectxrayoptics