
Proceedings Paper
Specification of x-ray mirrors in terms of system performance: a new twist to an old plotFormat | Member Price | Non-Member Price |
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Paper Abstract
In the early 1990’s [App. Opt. 32(19), 3344-531 (1993)], Church and Takacs pointed out that the specification of surface
figure and finish of x-ray mirrors must be based on their performance in the beamline optical system. In the present
work, we demonstrate the limitations of specification, characterization, and performance evaluation based on the totally
statistical approach, including root-mean-square (rms) roughness and residual slope variation, evaluated over the spatial
frequency bandwidths that are system specific, and a more refined statistical description of the surface morphology
based on the power spectral density (PSD) distribution. We show that the limitations are fatal, especially, in the case of
highly collimated coherent x-ray beams, like beams from X-ray Free Electron Lasers (XFELs). The limitations arise due
to the deterministic character of the surface profile data for a definite mirror, while the specific correlation properties of
the surface are essential for the performance of the entire x-ray optical system. As a possible way to overcome the
problem, we treat a method, suggested in [Opt. Eng. 51(4), 046501, 2012] and based on an autoregressive moving
average (ARMA) modeling of the slope measurements with a limited number of parameters. The effectiveness of the
approach is demonstrated with an example peculiar to the x-ray optical systems under design at the European XFEL.
Paper Details
Date Published: 17 September 2014
PDF: 19 pages
Proc. SPIE 9209, Advances in Computational Methods for X-Ray Optics III, 92090F (17 September 2014); doi: 10.1117/12.2062085
Published in SPIE Proceedings Vol. 9209:
Advances in Computational Methods for X-Ray Optics III
Manuel Sanchez del Rio; Oleg Chubar, Editor(s)
PDF: 19 pages
Proc. SPIE 9209, Advances in Computational Methods for X-Ray Optics III, 92090F (17 September 2014); doi: 10.1117/12.2062085
Show Author Affiliations
Valeriy V. Yashchuk, Lawrence Berkeley National Lab. (United States)
Liubov Samoylova, European XFEL GmbH (Germany)
Liubov Samoylova, European XFEL GmbH (Germany)
Igor V. Kozhevnikov, A.V. Shubnikov Institute of Crystallography (Russian Federation)
Published in SPIE Proceedings Vol. 9209:
Advances in Computational Methods for X-Ray Optics III
Manuel Sanchez del Rio; Oleg Chubar, Editor(s)
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