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Title: Nanofocusing with aberration-corrected rotationally parabolic refractive X-ray lenses

Abstract

Wavefront errors of rotationally parabolic refractive X-ray lenses made of beryllium (Be CRLs) have been recovered for various lens sets and X-ray beam configurations. Due to manufacturing via an embossing process, aberrations of individual lenses within the investigated ensemble are very similar. By deriving a mean single-lens deformation for the ensemble, aberrations of any arbitrary lens stack can be predicted from the ensemble with σ¯ = 0.034λ. Using these findings the expected focusing performance of current Be CRLs are modeled for relevant X-ray energies and bandwidths and it is shown that a correction of aberrations can be realised without prior lens characterization but simply based on the derived lens deformation. As a result, the performance of aberration-corrected Be CRLs is discussed and the applicability of aberration-correction demonstrated over wide X-ray energy ranges.

Authors:
 [1];  [2];  [2];  [2];  [2];  [3];  [4];  [4];  [3];  [3];  [2]
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  1. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Univ. Hamburg, Hamburg (Germany)
  3. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
  4. Diamond Light Source Ltd., Oxfordshire (United Kingdom)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1417642
Grant/Contract Number:  
05K13OD2; 05K13OD4; AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Synchrotron Radiation (Online)
Additional Journal Information:
Journal Name: Journal of Synchrotron Radiation (Online); Journal Volume: 25; Journal Issue: 1; Journal ID: ISSN 1600-5775
Publisher:
International Union of Crystallography
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; refractive X-ray optics; aberration correction; ptychography; phase plate

Citation Formats

Seiboth, Frank, Wittwer, Felix, Scholz, Maria, Kahnt, Maik, Seyrich, Martin, Schropp, Andreas, Wagner, Ulrich, Rau, Christoph, Garrevoet, Jan, Falkenberg, Gerald, and Schroer, Christian G. Nanofocusing with aberration-corrected rotationally parabolic refractive X-ray lenses. United States: N. p., 2018. Web. doi:10.1107/S1600577517015272.
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Seiboth, Frank, Wittwer, Felix, Scholz, Maria, Kahnt, Maik, Seyrich, Martin, Schropp, Andreas, Wagner, Ulrich, Rau, Christoph, Garrevoet, Jan, Falkenberg, Gerald, & Schroer, Christian G. Nanofocusing with aberration-corrected rotationally parabolic refractive X-ray lenses. United States. https://doi.org/10.1107/S1600577517015272
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Seiboth, Frank, Wittwer, Felix, Scholz, Maria, Kahnt, Maik, Seyrich, Martin, Schropp, Andreas, Wagner, Ulrich, Rau, Christoph, Garrevoet, Jan, Falkenberg, Gerald, and Schroer, Christian G. Mon . "Nanofocusing with aberration-corrected rotationally parabolic refractive X-ray lenses". United States. https://doi.org/10.1107/S1600577517015272. https://www.osti.gov/servlets/purl/1417642.
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@article{osti_1417642,
title = {Nanofocusing with aberration-corrected rotationally parabolic refractive X-ray lenses},
author = {Seiboth, Frank and Wittwer, Felix and Scholz, Maria and Kahnt, Maik and Seyrich, Martin and Schropp, Andreas and Wagner, Ulrich and Rau, Christoph and Garrevoet, Jan and Falkenberg, Gerald and Schroer, Christian G.},
abstractNote = {Wavefront errors of rotationally parabolic refractive X-ray lenses made of beryllium (Be CRLs) have been recovered for various lens sets and X-ray beam configurations. Due to manufacturing via an embossing process, aberrations of individual lenses within the investigated ensemble are very similar. By deriving a mean single-lens deformation for the ensemble, aberrations of any arbitrary lens stack can be predicted from the ensemble with σ¯ = 0.034λ. Using these findings the expected focusing performance of current Be CRLs are modeled for relevant X-ray energies and bandwidths and it is shown that a correction of aberrations can be realised without prior lens characterization but simply based on the derived lens deformation. As a result, the performance of aberration-corrected Be CRLs is discussed and the applicability of aberration-correction demonstrated over wide X-ray energy ranges.},
doi = {10.1107/S1600577517015272},
journal = {Journal of Synchrotron Radiation (Online)},
number = 1,
volume = 25,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2018},
month = {Mon Jan 01 00:00:00 EST 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1107/S1600577517015272
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Cited by: 9 works
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Figures / Tables:

Figure 1 Figure 1: The coherent X-ray beam was focused by a set of N Be CRLs onto a Siemens star sample (1 mm-thick tungsten on a diamond membrane). The sample was scanned in a grid fashion in the x and y direction. We collected a diffraction pattern for every scan pointmore » in order to reconstruct the complex-valued probe function via ptychography. The inset shows the geometry for a single lens with geometric aperture D, radius of curvature R, lens thickness l and distance between parabola apices d.« less
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    Works referencing / citing this record:

    Scanning Hard X-Ray Microscopy Based on Be CRLs
    journal, August 2018

    • Schropp, Andreas; Bruckner, Dennis; Bulda, Jessica
    • Microscopy and Microanalysis, Vol. 24, Issue S2
    • DOI: 10.1017/s1431927618013284

    Wavefront sensing at X-ray free-electron lasers
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    • Seaberg, Matthew; Cojocaru, Ruxandra; Berujon, Sebastien
    • Journal of Synchrotron Radiation, Vol. 26, Issue 4
    • DOI: 10.1107/s1600577519005721

    Refractive hard x-ray vortex phase plates
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    • Seiboth, Frank; Kahnt, Maik; Lyubomirskiy, Mikhail
    • Optics Letters, Vol. 44, Issue 18
    • DOI: 10.1364/ol.44.004622

    Scanning Hard X-Ray Microscopy Based on Be CRLs
    text, January 2018

    • Schropp, Andreas; Bruckner, Dennis; Bulda, Jessica
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2018-03679

    Refractive hard x-ray vortex phase plates
    text, January 2019

    • Seiboth, Frank; Kahnt, Maik; Lyubomirskiy, Mikhail
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-03302

    Wavefront sensing at X-ray free-electron lasers
    text, January 2019

    • Seaberg, Matthew; Cojocaru, Ruxandra; Berujon, Sebastien
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-02574

    Wavefront sensing at X-ray free-electron lasers
    text, January 2019

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