Single-grating Talbot imaging for wavefront sensing and x-ray metrology

Single-grating Talbot imaging relies on high-spatial-resolution detectors to perform accurate measurements of X-ray beam wavefronts. The wavefront can be retrieved with a single image, and a typical measurement and data analysis can be performed in few seconds. These qualities make it an ideal tool for synchrotron beamline diagnostics and in-situ metrology. The wavefront measurement can be used both to obtain a phase contrast image of an object and to characterize an X-ray beam. In this work, we explore the concept in two cases: at-wavelength metrology of 2D parabolic beryllium lenses and a wavefront sensor using a diamond crystal beam splitter.

[1]  D. Malacara-Hernández,et al.  PRINCIPLES OF OPTICS , 2011 .

[2]  Emmanuelle Gouillart,et al.  scikit-image: image processing in Python , 2014, PeerJ.

[3]  Chidane Ouchi,et al.  Two-dimensional grating-based X-ray phase-contrast imaging using Fourier transform phase retrieval. , 2011, Optics express.

[4]  J. Goodman Introduction to Fourier optics , 1969 .

[5]  J. Mohr,et al.  Quantitative characterization of X-ray lenses from two fabrication techniques with grating interferometry. , 2016, Optics express.

[6]  A. Macrander,et al.  X-ray optics testing beamline 1-BM at the advanced photon source , 2016 .

[7]  Bob Nagler,et al.  Perfect X-ray focusing via fitting corrective glasses to aberrated optics , 2017, Nature Communications.

[8]  R. Xu,et al.  Development and implementation of a portable grating interferometer system as a standard tool for testing optics at the Advanced Photon Source beamline 1-BM. , 2016, The Review of scientific instruments.

[9]  Lahsen Assoufid,et al.  Improved algorithm for processing grating-based phase contrast interferometry image sets. , 2014, The Review of scientific instruments.

[10]  G. Falkenberg,et al.  On the characterization of ultra-precise X-ray optical components: advances and challenges in ex situ metrology , 2014, Journal of synchrotron radiation.

[11]  Y. Shvyd’ko,et al.  Diamond drumhead crystals for X‐ray optics applications , 2016 .

[12]  Sebastien Berujon,et al.  Development of a hard x-ray wavefront sensor for the EuXFEL , 2017, Optics + Optoelectronics.

[13]  Matthew Harker,et al.  MATLAB toolbox for the regularized surface reconstruction from gradients , 2015, International Conference on Quality Control by Artificial Vision.

[14]  Rama Chellappa,et al.  A Method for Enforcing Integrability in Shape from Shading Algorithms , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  C. David,et al.  The partial Talbot effect and its use in measuring the coherence of synchrotron X-rays. , 2004, Journal of synchrotron radiation.

[16]  Takashi Kameshima,et al.  Shot-to-shot diagnostic of the longitudinal photon source position at the SPring-8 Angstrom Compact Free Electron Laser by means of x-ray grating interferometry. , 2016, Optics letters.

[17]  Franz Pfeiffer,et al.  X-ray dark-field and phase-contrast imaging using a grating interferometer , 2009 .

[18]  Bruno Golosio,et al.  The xraylib library for X-ray-matter interactions. Recent developments , 2011 .

[19]  Ralu Divan,et al.  Probing transverse coherence of x-ray beam with 2-D phase grating interferometer. , 2014, Optics express.

[20]  Albert T. Macrander,et al.  Circular grating interferometer for mapping transverse coherence area of X-ray beams , 2014 .

[21]  Barbara Keitel,et al.  Hartmann wavefront sensors and their application at FLASH. , 2016, Journal of synchrotron radiation.

[22]  Rafael Abela,et al.  X-ray grating interferometer for in situ and at-wavelength wavefront metrology. , 2017, Journal of synchrotron radiation.

[23]  M. Takeda,et al.  Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry , 1982 .

[24]  Eric Jones,et al.  SciPy: Open Source Scientific Tools for Python , 2001 .

[25]  C. David,et al.  At-wavelength characterization of refractive x-ray lenses using a two-dimensional grating interferometer , 2011 .

[26]  K. Sawhney,et al.  At-wavelength metrology using the X-ray speckle tracking technique: case study of a X-ray compound refractive lens , 2013 .

[27]  Kawal Sawhney,et al.  From synchrotron radiation to lab source: advanced speckle-based X-ray imaging using abrasive paper , 2016, Scientific Reports.

[28]  Kawal Sawhney,et al.  Experimental comparison between speckle and grating-based imaging technique using synchrotron radiation X-rays. , 2016, Optics express.

[29]  Mourad Idir,et al.  Controlling X-ray deformable mirrors during inspection. , 2016, Journal of synchrotron radiation.

[30]  Kawal Sawhney,et al.  Two-dimensional transverse coherence measurement of hard-x-ray beams using near-field speckle , 2015 .

[31]  T. Ishikawa,et al.  Focusing mirror for coherent hard X-rays , 2016 .

[32]  Eric Ziegler,et al.  X-ray pulse wavefront metrology using speckle tracking , 2015, Journal of synchrotron radiation.

[33]  Petra Kaufmann,et al.  Two Dimensional Phase Unwrapping Theory Algorithms And Software , 2016 .

[34]  C. David,et al.  2D grating simulation for X‐ray phase‐contrast and dark‐field imaging with a Talbot interferometer , 2010 .

[35]  Rama Chellappa,et al.  What Is the Range of Surface Reconstructions from a Gradient Field? , 2006, ECCV.

[36]  Zhifeng Huang,et al.  Fast X-Ray Phase-Contrast Imaging Using High Resolution Detector , 2009, IEEE Transactions on Nuclear Science.

[37]  Ali M. Khounsary,et al.  Development of single grating x-ray Talbot interferometer as a feedback loop sensor element of an adaptive x-ray mirror system , 2014, Optics & Photonics - Optical Engineering + Applications.

[38]  Gaël Varoquaux,et al.  The NumPy Array: A Structure for Efficient Numerical Computation , 2011, Computing in Science & Engineering.

[39]  J. Krzywiński,et al.  Efficiency and coherence preservation studies of Be refractive lenses for XFELO application. , 2018, Journal of synchrotron radiation.

[40]  Irina Snigireva,et al.  Refractive x-ray lenses , 2005 .