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J Synchrotron Radiat. 2020 Mar 01;27:284-292. doi: 10.1107/S1600577520000491. Epub 2020 Feb 20.

X-ray optics and beam characterization using random modulation: theory.

Journal of synchrotron radiation

Sebastien Berujon, Ruxandra Cojocaru, Pierre Piault, Rafael Celestre, Thomas Roth, Raymond Barrett, Eric Ziegler

Affiliations

  1. European Synchrotron Radiation Facility, CS 40220, F-38043 Grenoble Cedex 9, France.

PMID: 32153267 DOI: 10.1107/S1600577520000491

Abstract

X-ray near-field speckle-based phase-sensing approaches provide efficient means of characterizing optical elements. Presented here is a theoretical review of several of these speckle methods within the framework of optical characterization, and a generalization of the concept is provided. As is also demonstrated experimentally in a parallel paper [Berujon, Cojocaru, Piault, Celestre, Roth, Barrett & Ziegler (2020), J. Synchrotron Rad. 27, (this issue)], the methods theoretically developed here can be applied to different beams and optics and within a variety of situations where at-wavelength metrology is desired. By understanding the differences between the various processing methods, it is possible to find and implement the most suitable approach for each metrology scenario.

Keywords: at-wavelength metrology; metrology; near-field speckle-based phase-sensing; optics; speckle

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