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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]
  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.
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. doi:10.1107/S1600577517015272.
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. doi:10.1107/S1600577517015272. https://www.osti.gov/servlets/purl/1417642.
@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 = {2018},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 1 work
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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 referenced in this record:

High efficiency nano-focusing kinoform optics for synchrotron radiation
journal, January 2011

  • Alianelli, L.; Sawhney, K. J. S.; Barrett, R.
  • Optics Express, Vol. 19, Issue 12
  • DOI: 10.1364/OE.19.011120

A planar refractive x-ray lens made of nanocrystalline diamond
journal, December 2010

  • Alianelli, L.; Sawhney, K. J. S.; Malik, A.
  • Journal of Applied Physics, Vol. 108, Issue 12
  • DOI: 10.1063/1.3517060

Imaging at an x-ray absorption edge using free electron laser pulses for interface dynamics in high energy density systems
journal, May 2017

  • Beckwith, M. A.; Jiang, S.; Schropp, A.
  • Review of Scientific Instruments, Vol. 88, Issue 5
  • DOI: 10.1063/1.4982166

High-Resolution Transmission X-ray Microscopy: A New Tool for Mesoscopic Materials
journal, June 2010

  • Bosak, Alexey; Snigireva, Irina; Napolskii, Kirill S.
  • Advanced Materials, Vol. 22, Issue 30
  • DOI: 10.1002/adma.201000173

High-energy-resolution x-ray optics with refractive collimators
journal, July 2000

  • Chumakov, A. I.; Rüffer, R.; Leupold, O.
  • Applied Physics Letters, Vol. 77, Issue 1
  • DOI: 10.1063/1.126867

Compound refractive lenses as prefocusing optics for X-ray FEL radiation
journal, February 2016

  • Heimann, Philip; MacDonald, Michael; Nagler, Bob
  • Journal of Synchrotron Radiation, Vol. 23, Issue 2
  • DOI: 10.1107/S1600577516001636

DLSR design and plans: an international overview
journal, August 2014


Full optical characterization of coherent x-ray nanobeams by ptychographic imaging
journal, January 2011

  • Hönig, Susanne; Hoppe, Robert; Patommel, Jens
  • Optics Express, Vol. 19, Issue 17
  • DOI: 10.1364/OE.19.016324

Ptychographic characterization of the wavefield in the focus of reflective hard X-ray optics
journal, March 2010


Transmission and gain of singly and doubly focusing refractive x-ray lenses
journal, December 1998

  • Lengeler, B.; Tümmler, J.; Snigirev, A.
  • Journal of Applied Physics, Vol. 84, Issue 11
  • DOI: 10.1063/1.368899

X-ray free-electron lasers
journal, November 2010


The phase-contrast imaging instrument at the matter in extreme conditions endstation at LCLS
journal, October 2016

  • Nagler, Bob; Schropp, Andreas; Galtier, Eric C.
  • Review of Scientific Instruments, Vol. 87, Issue 10
  • DOI: 10.1063/1.4963906

Planar sets of cross x-ray refractive lenses from SU-8 polymer
conference, November 2004

  • Nazmov, Vladimir P.; Reznikova, Elena F.; Somogyi, Andrea
  • Optical Science and Technology, the SPIE 49th Annual Meeting, SPIE Proceedings
  • DOI: 10.1117/12.562615

Diamond planar refractive lenses for third- and fourth-generation X-ray sources
journal, February 2003

  • Nöhammer, Bernd; Hoszowska, Joanna; Freund, Andreas K.
  • Journal of Synchrotron Radiation, Vol. 10, Issue 2
  • DOI: 10.1107/S0909049502019532

Focusing hard x rays beyond the critical angle of total reflection by adiabatically focusing lenses
journal, March 2017

  • Patommel, Jens; Klare, Susanne; Hoppe, Robert
  • Applied Physics Letters, Vol. 110, Issue 10
  • DOI: 10.1063/1.4977882

Large-acceptance diamond planar refractive lenses manufactured by laser cutting
journal, January 2015

  • Polikarpov, Maxim; Snigireva, Irina; Morse, John
  • Journal of Synchrotron Radiation, Vol. 22, Issue 1
  • DOI: 10.1107/S1600577514021742

X-ray harmonics rejection on third-generation synchrotron sources using compound refractive lenses
journal, March 2014

  • Polikarpov, Maxim; Snigireva, Irina; Snigirev, Anatoly
  • Journal of Synchrotron Radiation, Vol. 21, Issue 3
  • DOI: 10.1107/S1600577514001003

The Diamond Beamline I13L for Imaging and Coherence
conference, January 2010

  • Rau, C.; Wagner, U.; Peach, A.
  • SRI 2009, 10TH INTERNATIONAL CONFERENCE ON RADIATION INSTRUMENTATION, AIP Conference Proceedings
  • DOI: 10.1063/1.3463156

X-ray laminography and SAXS on beryllium grades and lenses and wavefront propagation through imperfect compound refractive lenses
conference, September 2014

  • Roth, Thomas; Helfen, Lukas; Hallmann, Jörg
  • SPIE Optical Engineering + Applications, SPIE Proceedings
  • DOI: 10.1117/12.2061127

Hard x-ray nanofocusing with refractive x-ray optics: full beam characterization by ptychographic imaging
conference, September 2013

  • Schroer, Christian G.; Brack, Florian-Emanuel; Brendler, Roman
  • SPIE Optical Engineering + Applications, SPIE Proceedings
  • DOI: 10.1117/12.2024127

Nanofocusing parabolic refractive x-ray lenses
journal, March 2003

  • Schroer, C. G.; Kuhlmann, M.; Hunger, U. T.
  • Applied Physics Letters, Vol. 82, Issue 9
  • DOI: 10.1063/1.1556960

Hard x-ray nanobeam characterization by coherent diffraction microscopy
journal, March 2010

  • Schropp, A.; Boye, P.; Feldkamp, J. M.
  • Applied Physics Letters, Vol. 96, Issue 9
  • DOI: 10.1063/1.3332591

Full spatial characterization of a nanofocused x-ray free-electron laser beam by ptychographic imaging
journal, April 2013

  • Schropp, Andreas; Hoppe, Robert; Meier, Vivienne
  • Scientific Reports, Vol. 3, Issue 1
  • DOI: 10.1038/srep01633

Imaging Shock Waves in Diamond with Both High Temporal and Spatial Resolution at an XFEL
journal, June 2015

  • Schropp, Andreas; Hoppe, Robert; Meier, Vivienne
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep11089

Focusing XFEL SASE pulses by rotationally parabolic refractive x-ray lenses
journal, April 2014


Perfect X-ray focusing via fitting corrective glasses to aberrated optics
journal, March 2017

  • Seiboth, Frank; Schropp, Andreas; Scholz, Maria
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms14623

Dark-field X-ray microscopy for multiscale structural characterization
journal, January 2015

  • Simons, H.; King, A.; Ludwig, W.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms7098

A compound refractive lens for focusing high-energy X-rays
journal, November 1996

  • Snigirev, A.; Kohn, V.; Snigireva, I.
  • Nature, Vol. 384, Issue 6604
  • DOI: 10.1038/384049a0

Focusing properties of x-ray polymer refractive lenses from SU-8 resist layer
conference, December 2003

  • Snigirev, Anatoly A.; Snigireva, Irina; Drakopoulos, Michael
  • Optical Science and Technology, SPIE's 48th Annual Meeting, SPIE Proceedings
  • DOI: 10.1117/12.507111

X-ray multilens interferometer based on Si refractive lenses
journal, January 2014

  • Snigirev, A.; Snigireva, I.; Lyubomirskiy, M.
  • Optics Express, Vol. 22, Issue 21
  • DOI: 10.1364/OE.22.025842

Diamond refractive lens for hard x-ray focusing
conference, November 2002

  • Snigirev, Anatoly A.; Yunkin, Vecheslav; Snigireva, Irina
  • International Symposium on Optical Science and Technology, SPIE Proceedings
  • DOI: 10.1117/12.451011

Parabolic single-crystal diamond lenses for coherent x-ray imaging
journal, September 2015

  • Terentyev, Sergey; Blank, Vladimir; Polyakov, Sergey
  • Applied Physics Letters, Vol. 107, Issue 11
  • DOI: 10.1063/1.4931357

Linear parabolic single-crystal diamond refractive lenses for synchrotron X-ray sources
journal, January 2017

  • Terentyev, Sergey; Polikarpov, Maxim; Snigireva, Irina
  • Journal of Synchrotron Radiation, Vol. 24, Issue 1
  • DOI: 10.1107/S1600577516017331

Probe retrieval in ptychographic coherent diffractive imaging
journal, March 2009


X-ray transfocators: focusing devices based on compound refractive lenses
journal, December 2010

  • Vaughan, Gavin B. M.; Wright, Jonathan P.; Bytchkov, Aleksei
  • Journal of Synchrotron Radiation, Vol. 18, Issue 2
  • DOI: 10.1107/S0909049510044365

Characterization of high-resolution diffractive X-ray optics by ptychographic coherent diffractive imaging
journal, January 2011

  • Vila-Comamala, Joan; Diaz, Ana; Guizar-Sicairos, Manuel
  • Optics Express, Vol. 19, Issue 22
  • DOI: 10.1364/OE.19.021333

    Works referencing / citing this record:

    Wavefront sensing at X-ray free-electron lasers
    journal, June 2019

    • Seaberg, Matthew; Cojocaru, Ruxandra; Berujon, Sebastien
    • Journal of Synchrotron Radiation, Vol. 26, Issue 4
    • DOI: 10.1107/s1600577519005721

    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

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

    • 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
    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
    journal, June 2019

    • 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
    text, January 2019

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

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