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EUV and X-ray Wavefront Sensing

A special issue of Sensors (ISSN 1424-8220). This special issue belongs to the section "Optical Sensors".

Deadline for manuscript submissions: closed (31 October 2021) | Viewed by 31827

Special Issue Editors


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Guest Editor
Optical Metrology Group Leader, Energy Sciences Directorate/Photon Science Division, Brookhaven National Laboratory-NSLS II, Upton, NY 11973-5000, USA
Interests: optics; instrumentation; measurement; sensors; synchrotron; diffraction; calibration; synchrotron radiation; measurement and metrology; optical metrology; wavefront sensing; X-ray imaging; X-ray optics; X-ray phase contrast

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Guest Editor
Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
Interests: X-ray optics; optical metrology; diffraction gratings; diffraction limited optics; X-ray wavefront preservation
Optics Metrology Group, Energy Sciences Directorate/Photon Science Division, Brookhaven National Laboratory-NSLS II, Upton, NY 11973-5000, USA
Interests: optical metrology; calibration; dimensional measurement; synchrotron mirrors; X-ray optics; wavefront sensing; wavefront reconstruction; phase retrieval; fringe analysis
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Special Issue Information

Dear Colleagues,

X-ray optics are extensively used both in synchrotron radiation and free electron laser sources, as well as in table-top laboratory sources to collimate, focus or, in general, manipulate, the X-ray beams, ideally at the diffraction limit and with high efficiency. The successful exploitation of such extreme quality X-ray beams depends, to a significant extent, on imperfections and misalignment of the optics employed on the optical set up. With the advent of 4th-generation storage rings and diffraction-limited sources, at-wavelength metrology is becoming more and more important to taking full advantage of the extraordinary new characteristics of these high-brilliance sources. This issue becomes more critical with the increasing use of active optics, the necessity to monitor and limit the thermal effects on X-ray optical elements, the determination of the X-ray beam wavefront itself, and the desire to achieve diffraction-limited and wavefront-preserving X-ray beams. The accuracy of ex situ optical metrology has seen a continuous improvement in the last two decades, reaching what is probably a state-of-the-art level. The same may not be true for in situ metrology and, therefore, the wavefront control on beamlines is often limited by environmental and systematic alignment factors and inadequate in situ feedback.

The aim of this Special Issue is to collect the most recent works of world-recognized researchers, active in the study, development, calibration, and characterization of EUV (extreme ultraviolet) and X-ray wavefront sensors or wavefront techniques that are applied in at-wavelength metrology. aimed to achieve the highest accuracy and, thus, the lowest uncertainty.

We cordially invite you to share your work, expertise, and insights with the dimensional measurement and calibration community, in the form of research articles and reviews.

Dr. Mourad Idir
Dr. Daniele Cocco
Dr. Lei Huang
Guest Editors

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Keywords

  • At wavelength metrology
  • Wavefront sensor
  • X-ray optics
  • Computational imaging

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Published Papers (9 papers)

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Editorial

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3 pages, 165 KiB  
Editorial
Special Issue “EUV and X-ray Wavefront Sensing”
by Mourad Idir, Daniele Cocco and Lei Huang
Sensors 2022, 22(10), 3940; https://doi.org/10.3390/s22103940 - 23 May 2022
Cited by 1 | Viewed by 1546
Abstract
X-ray optics are extensively used in synchrotron radiation and free-electron laser facilities, as well as in table-top laboratory sources [...] Full article
(This article belongs to the Special Issue EUV and X-ray Wavefront Sensing)

Research

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19 pages, 6729 KiB  
Article
EUV and Hard X-ray Hartmann Wavefront Sensing for Optical Metrology, Alignment and Phase Imaging
by Ombeline de La Rochefoucauld, Guillaume Dovillaire, Fabrice Harms, Mourad Idir, Lei Huang, Xavier Levecq, Martin Piponnier and Philippe Zeitoun
Sensors 2021, 21(3), 874; https://doi.org/10.3390/s21030874 - 28 Jan 2021
Cited by 11 | Viewed by 5329
Abstract
For more than 15 years, Imagine Optic have developed Extreme Ultra Violet (EUV) and X-ray Hartmann wavefront sensors for metrology and imaging applications. These sensors are compatible with a wide range of X-ray sources: from synchrotrons, Free Electron Lasers, laser-driven betatron and plasma-based [...] Read more.
For more than 15 years, Imagine Optic have developed Extreme Ultra Violet (EUV) and X-ray Hartmann wavefront sensors for metrology and imaging applications. These sensors are compatible with a wide range of X-ray sources: from synchrotrons, Free Electron Lasers, laser-driven betatron and plasma-based EUV lasers to High Harmonic Generation. In this paper, we first describe the principle of a Hartmann sensor and give some key parameters to design a high-performance sensor. We also present different applications from metrology (for manual or automatic alignment of optics), to soft X-ray source optimization and X-ray imaging. Full article
(This article belongs to the Special Issue EUV and X-ray Wavefront Sensing)
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15 pages, 3015 KiB  
Article
Binary Amplitude Reflection Gratings for X-ray Shearing and Hartmann Wavefront Sensors
by Kenneth A. Goldberg, Antoine Wojdyla and Diane Bryant
Sensors 2021, 21(2), 536; https://doi.org/10.3390/s21020536 - 13 Jan 2021
Cited by 7 | Viewed by 2728
Abstract
New, high-coherent-flux X-ray beamlines at synchrotron and free-electron laser light sources rely on wavefront sensors to achieve and maintain optimal alignment under dynamic operating conditions. This includes feedback to adaptive X-ray optics. We describe the design and modeling of a new class of [...] Read more.
New, high-coherent-flux X-ray beamlines at synchrotron and free-electron laser light sources rely on wavefront sensors to achieve and maintain optimal alignment under dynamic operating conditions. This includes feedback to adaptive X-ray optics. We describe the design and modeling of a new class of binary-amplitude reflective gratings for shearing interferometry and Hartmann wavefront sensing. Compact arrays of deeply etched gratings illuminated at glancing incidence can withstand higher power densities than transmission membranes and can be designed to operate across a broad range of photon energies with a fixed grating-to-detector distance. Coherent wave-propagation is used to study the energy bandwidth of individual elements in an array and to set the design parameters. We observe that shearing operates well over a ±10% bandwidth, while Hartmann can be extended to ±30% or more, in our configuration. We apply this methodology to the design of a wavefront sensor for a soft X-ray beamline operating from 230 eV to 1400 eV and model shearing and Hartmann tests in the presence of varying wavefront aberration types and magnitudes. Full article
(This article belongs to the Special Issue EUV and X-ray Wavefront Sensing)
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18 pages, 5810 KiB  
Article
Quantitative X-ray Channel-Cut Crystal Diffraction Wavefront Metrology Using the Speckle Scanning Technique
by Lian Xue, Hongxin Luo, Qianshun Diao, Fugui Yang, Jie Wang and Zhongliang Li
Sensors 2020, 20(22), 6660; https://doi.org/10.3390/s20226660 - 20 Nov 2020
Cited by 4 | Viewed by 2718
Abstract
A speckle-based method for the X-ray crystal diffraction wavefront measurement is implemented, and the slope errors of channel-cut crystals with different surface characteristics are measured. The method uses a speckle scanning technique generated by a scattering membrane translated using a piezo motor to [...] Read more.
A speckle-based method for the X-ray crystal diffraction wavefront measurement is implemented, and the slope errors of channel-cut crystals with different surface characteristics are measured. The method uses a speckle scanning technique generated by a scattering membrane translated using a piezo motor to infer the deflection of X-rays from the crystals. The method provides a high angular sensitivity of the channel-cut crystal slopes in both the tangential and sagittal directions. The experimental results show that the slope error of different cutting and etching processes ranges from 0.25 to 2.98 μrad. Furthermore, the results of wavefront deformation are brought into the beamline for simulation. This method opens up possibilities for new high-resolution applications for X-ray crystal diffraction wavefront measurement and provides feedback to crystal manufacturers to improve channel-cut fabrication. Full article
(This article belongs to the Special Issue EUV and X-ray Wavefront Sensing)
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Other

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11 pages, 3193 KiB  
Letter
X-Ray Single-Grating Interferometry for Wavefront Measurement and Correction of Hard X-Ray Nanofocusing Mirrors
by Jumpei Yamada, Takato Inoue, Nami Nakamura, Takashi Kameshima, Kazuto Yamauchi, Satoshi Matsuyama and Makina Yabashi
Sensors 2020, 20(24), 7356; https://doi.org/10.3390/s20247356 - 21 Dec 2020
Cited by 10 | Viewed by 4325
Abstract
X-ray single-grating interferometry was applied to conduct accurate wavefront corrections for hard X-ray nanofocusing mirrors. Systematic errors in the interferometer, originating from a grating, a detector, and alignment errors of the components, were carefully examined. Based on the measured wavefront errors, the mirror [...] Read more.
X-ray single-grating interferometry was applied to conduct accurate wavefront corrections for hard X-ray nanofocusing mirrors. Systematic errors in the interferometer, originating from a grating, a detector, and alignment errors of the components, were carefully examined. Based on the measured wavefront errors, the mirror shapes were directly corrected using a differential deposition technique. The corrected X-ray focusing mirrors with a numerical aperture of 0.01 attained two-dimensionally diffraction-limited performance. The results of the correction indicate that the uncertainty of the wavefront measurement was less than λ/72 in root-mean-square value. Full article
(This article belongs to the Special Issue EUV and X-ray Wavefront Sensing)
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11 pages, 8171 KiB  
Letter
Simulation of Fresnel Zone Plate Imaging Performance with Number of Zones
by Ying Li, Ombeline de La Rochefoucauld and Philippe Zeitoun
Sensors 2020, 20(22), 6649; https://doi.org/10.3390/s20226649 - 20 Nov 2020
Cited by 5 | Viewed by 4512
Abstract
In recent years, integral imaging, a promising three-dimensional imaging technology, has attracted more and more attention for its broad applications in robotics, computational vision, and medical diagnostics. In the visible spectrum, an integral imaging system can be easily implemented by inserting a micro-lens [...] Read more.
In recent years, integral imaging, a promising three-dimensional imaging technology, has attracted more and more attention for its broad applications in robotics, computational vision, and medical diagnostics. In the visible spectrum, an integral imaging system can be easily implemented by inserting a micro-lens array between a image formation optic and a pixelated detector. By using a micro-Fresnel Zone Plate (FZP) array instead of the refractive lens array, the integral imaging system can be applied in X-ray. Due to micro-scale dimensions of FZP in the array and current manufacturing techniques, the number of zones of FZP is limited. This may have an important impact on the FZP imaging performance. The paper introduces a simulation method based on the scalar diffraction theory. With the aid of this method, the effect of the number of zones on the FZP imaging performance is numerically investigated, especially the case of very small number of zones. Results of several simulation of FZP imaging are presented and show the image can be formed by a FZP with a number of zones as low as 5. The paper aims at offering a numerical approach in order to facilitate the design of FZP for integral imaging. Full article
(This article belongs to the Special Issue EUV and X-ray Wavefront Sensing)
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13 pages, 3094 KiB  
Letter
Modelling of Phase Contrast Imaging with X-ray Wavefront Sensor and Partial Coherence Beams
by Ginevra Begani Provinciali, Alessia Cedola, Ombeline de La Rochefoucauld and Philippe Zeitoun
Sensors 2020, 20(22), 6469; https://doi.org/10.3390/s20226469 - 12 Nov 2020
Cited by 5 | Viewed by 3206
Abstract
The Hartmann wavefront sensor is able to measure, separately and in absolute, the real δ and imaginary part β of the X-ray refractive index. While combined with tomographic setup, the Hartman sensor opens many interesting opportunities behind the direct measurement of the material [...] Read more.
The Hartmann wavefront sensor is able to measure, separately and in absolute, the real δ and imaginary part β of the X-ray refractive index. While combined with tomographic setup, the Hartman sensor opens many interesting opportunities behind the direct measurement of the material density. In order to handle the different ways of using an X-ray wavefront sensor in imaging, we developed a 3D wave propagation model based on Fresnel propagator. The model can manage any degree of spatial coherence of the source, thus enabling us to model experiments accurately using tabletop, synchrotron or X-ray free-electron lasers. Beam divergence is described in a physical manner consistent with the spatial coherence. Since the Hartmann sensor can detect phase and absorption variation with high sensitivity, a precise simulation tool is thus needed to optimize the experimental parameters. Examples are displayed. Full article
(This article belongs to the Special Issue EUV and X-ray Wavefront Sensing)
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9 pages, 1213 KiB  
Letter
Metrology of a Focusing Capillary Using Optical Ptychography
by Xiaojing Huang, Evgeny Nazaretski, Weihe Xu, Dean Hidas, Mark Cordier, Benjamin Stripe, Wenbing Yun and Yong S. Chu
Sensors 2020, 20(22), 6462; https://doi.org/10.3390/s20226462 - 12 Nov 2020
Cited by 3 | Viewed by 2149
Abstract
The focusing property of an ellipsoidal monocapillary has been characterized using the ptychography method with a 405 nm laser beam. The recovered wavefront gives a 12.5×10.4μm2 focus. The reconstructed phase profile of the focused beam can be used [...] Read more.
The focusing property of an ellipsoidal monocapillary has been characterized using the ptychography method with a 405 nm laser beam. The recovered wavefront gives a 12.5×10.4μm2 focus. The reconstructed phase profile of the focused beam can be used to estimate the height error of the capillary surface. The obtained height error shows a Gaussian distribution with a standard deviation of 1.3 μm. This approach can be used as a quantitative tool for evaluating the inner functional surfaces of reflective optics, complementary to conventional metrology methods. Full article
(This article belongs to the Special Issue EUV and X-ray Wavefront Sensing)
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13 pages, 4190 KiB  
Letter
Wavefront Sensing for Evaluation of Extreme Ultraviolet Microscopy
by Mabel Ruiz-Lopez, Masoud Mehrjoo, Barbara Keitel, Elke Plönjes, Domenico Alj, Guillaume Dovillaire, Lu Li and Philippe Zeitoun
Sensors 2020, 20(22), 6426; https://doi.org/10.3390/s20226426 - 10 Nov 2020
Cited by 6 | Viewed by 3804
Abstract
Wavefront analysis is a fast and reliable technique for the alignment and characterization of optics in the visible, but also in the extreme ultraviolet (EUV) and X-ray regions. However, the technique poses a number of challenges when used for optical systems with numerical [...] Read more.
Wavefront analysis is a fast and reliable technique for the alignment and characterization of optics in the visible, but also in the extreme ultraviolet (EUV) and X-ray regions. However, the technique poses a number of challenges when used for optical systems with numerical apertures (NA) > 0.1. A high-numerical-aperture Hartmann wavefront sensor was employed at the free electron laser FLASH for the characterization of a Schwarzschild objective. These are widely used in EUV to achieve very small foci, particularly for photolithography. For this purpose, Schwarzschild objectives require highly precise alignment. The phase measurements acquired with the wavefront sensor were analyzed employing two different methods, namely, the classical calculation of centroid positions and Fourier demodulation. Results from both approaches agree in terms of wavefront maps with negligible degree of discrepancy. Full article
(This article belongs to the Special Issue EUV and X-ray Wavefront Sensing)
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