DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A hybrid method for X-ray optics simulation: combining geometric ray-tracing and wavefront propagation

Abstract

A new method for beamline simulation combining ray-tracing and wavefront propagation is described. The 'Hybrid Method' computes diffraction effects when the beam is clipped by an aperture or mirror length and can also simulate the effect of figure errors in the optical elements when diffraction is present. The effect of different spatial frequencies of figure errors on the image is compared withSHADOWresults pointing to the limitations of the latter. The code has been benchmarked against the multi-electron version ofSRWin one dimension to show its validity in the case of fully, partially and non-coherent beams. The results demonstrate that the code is considerably faster than the multi-electron version ofSRWand is therefore a useful tool for beamline design and optimization.

Authors:
 [1];  [1];  [2];  [1]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
  2. European Synchrotron Radiation Facility (ESRF), Grenoble (France)
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1396185
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Synchrotron Radiation (Online)
Additional Journal Information:
Journal Name: Journal of Synchrotron Radiation (Online); Journal Volume: 21; Journal Issue: 4; Journal ID: ISSN 1600-5775
Publisher:
International Union of Crystallography
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 43 PARTICLE ACCELERATORS; X-ray optics simulation; beamline design; hybrid method; partial coherence; ray-tracing; wavefront propagation

Citation Formats

Shi, Xianbo, Reininger, Ruben, Sanchez del Rio, Manuel, and Assoufid, Lahsen. A hybrid method for X-ray optics simulation: combining geometric ray-tracing and wavefront propagation. United States: N. p., 2014. Web. doi:10.1107/S160057751400650X.
Shi, Xianbo, Reininger, Ruben, Sanchez del Rio, Manuel, & Assoufid, Lahsen. A hybrid method for X-ray optics simulation: combining geometric ray-tracing and wavefront propagation. United States. https://doi.org/10.1107/S160057751400650X
Shi, Xianbo, Reininger, Ruben, Sanchez del Rio, Manuel, and Assoufid, Lahsen. Thu . "A hybrid method for X-ray optics simulation: combining geometric ray-tracing and wavefront propagation". United States. https://doi.org/10.1107/S160057751400650X. https://www.osti.gov/servlets/purl/1396185.
@article{osti_1396185,
title = {A hybrid method for X-ray optics simulation: combining geometric ray-tracing and wavefront propagation},
author = {Shi, Xianbo and Reininger, Ruben and Sanchez del Rio, Manuel and Assoufid, Lahsen},
abstractNote = {A new method for beamline simulation combining ray-tracing and wavefront propagation is described. The 'Hybrid Method' computes diffraction effects when the beam is clipped by an aperture or mirror length and can also simulate the effect of figure errors in the optical elements when diffraction is present. The effect of different spatial frequencies of figure errors on the image is compared withSHADOWresults pointing to the limitations of the latter. The code has been benchmarked against the multi-electron version ofSRWin one dimension to show its validity in the case of fully, partially and non-coherent beams. The results demonstrate that the code is considerably faster than the multi-electron version ofSRWand is therefore a useful tool for beamline design and optimization.},
doi = {10.1107/S160057751400650X},
journal = {Journal of Synchrotron Radiation (Online)},
number = 4,
volume = 21,
place = {United States},
year = {Thu May 15 00:00:00 EDT 2014},
month = {Thu May 15 00:00:00 EDT 2014}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 50 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

The undulator beamline at the SRS Daresbury
journal, January 1992

  • Mythen, C. S.; van der Laan, G.; Padmore, H. A.
  • Review of Scientific Instruments, Vol. 63, Issue 1
  • DOI: 10.1063/1.1143055

A Next-Generation Hard X-Ray Nanoprobe Beamline for In Situ Studies of Energy Materials and Devices
journal, August 2013

  • Maser, Jörg; Lai, Barry; Buonassisi, Tonio
  • Metallurgical and Materials Transactions A, Vol. 45, Issue 1
  • DOI: 10.1007/s11661-013-1901-x

Ray-tracing of X-ray focusing capillaries
journal, August 1994

  • Chen, Guan-Jye; Cerrina, F.; Voss, Karl F.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 347, Issue 1-3
  • DOI: 10.1016/0168-9002(94)91918-6

A soft X-ray grating monochromator for undulator radiation
journal, March 1990

  • Reininger, R.; Saile, V.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 288, Issue 2-3
  • DOI: 10.1016/0168-9002(90)90122-M

X-ray optics simulation using Gaussian superposition technique
journal, January 2011

  • Idir, Mourad; Cywiak, Moisés; Morales, Arquímedes
  • Optics Express, Vol. 19, Issue 20
  • DOI: 10.1364/OE.19.019050

SHADOW: A synchrotron radiation ray tracing program
journal, May 1986

  • Lai, B.; Cerrina, F.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 246, Issue 1-3
  • DOI: 10.1016/0168-9002(86)90101-4

McXtrace: a modern ray-tracing package for x-ray instrumentation
conference, September 2011

  • Knudsen, Erik B.; Prodi, Andrea; Willendrup, Peter
  • SPIE Optical Engineering + Applications, SPIE Proceedings
  • DOI: 10.1117/12.894179

High acceptance high resolution soft X-ray grating spectrometer: Choice of optical design
journal, June 2013


Ray tracing through holographic gratings
journal, January 1974

  • Noda, H.; Namioka, T.; Seya, M.
  • Journal of the Optical Society of America, Vol. 64, Issue 8
  • DOI: 10.1364/JOSA.64.001037

SHADOW: New developments
journal, April 1988

  • Lai, B.; Chapman, K.; Cerrina, F.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 266, Issue 1-3
  • DOI: 10.1016/0168-9002(88)90444-5

The confocal plane grating spectrometer at BESSY II
journal, June 2013

  • Könnecke, R.; Follath, R.; Pontius, N.
  • Journal of Electron Spectroscopy and Related Phenomena, Vol. 188
  • DOI: 10.1016/j.elspec.2012.11.003

New soft X-ray beamline BL07LSU for long undulator of SPring-8: Design and status
journal, September 2011

  • Senba, Y.; Yamamoto, S.; Ohashi, H.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 649, Issue 1
  • DOI: 10.1016/j.nima.2010.12.242

Ultra-precise characterization of LCLS hard X-ray focusing mirrors by high resolution slope measuring deflectometry
journal, January 2012

  • Siewert, Frank; Buchheim, Jana; Boutet, Sébastien
  • Optics Express, Vol. 20, Issue 4
  • DOI: 10.1364/OE.20.004525

BACH, the beamline for advanced dichroic and scattering experiments at ELETTRA
journal, January 2001

  • Zangrando, M.; Finazzi, M.; Paolucci, G.
  • Review of Scientific Instruments, Vol. 72, Issue 2
  • DOI: 10.1063/1.1334626

Spherical-grating monochromator system with circular-polarization capability for the U5U undulator at Brookhaven
journal, August 1994

  • Smith, N. V.; Hulbert, S. L.; Johnson, P. D.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 347, Issue 1-3
  • DOI: 10.1016/0168-9002(94)91866-X

Formation of Optical Images by X-Rays
journal, January 1948

  • Kirkpatrick, Paul; Baez, A. V.
  • Journal of the Optical Society of America, Vol. 38, Issue 9
  • DOI: 10.1364/JOSA.38.000766

A plane grating monochromator for the new undulator at Aladdin: 8–240 eV
journal, August 1994

  • Reininger, R.; Crossley, S. L.; Lagergren, M. A.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 347, Issue 1-3
  • DOI: 10.1016/0168-9002(94)91898-8

A next-generation in-situ nanoprobe beamline for the Advanced Photon Source
conference, September 2013

  • Maser, Jörg; Lai, Barry; Buonassisi, Tonio
  • SPIE Optical Engineering + Applications, SPIE Proceedings
  • DOI: 10.1117/12.2026418

Monte Carlo Green's function formalism for the propagation of partially coherent light
journal, January 2009

  • Prahl, Scott A.; Fischer, David G.; Duncan, Donald D.
  • Journal of the Optical Society of America A, Vol. 26, Issue 7
  • DOI: 10.1364/JOSAA.26.001533

Optical Design of VLS-PGM Soft X-Ray Beamline on Indus-2
conference, January 2010

  • Prasad, T. T.; Modi, M. H.; Lodha, G. S.
  • SRI 2009, 10TH INTERNATIONAL CONFERENCE ON RADIATION INSTRUMENTATION, AIP Conference Proceedings
  • DOI: 10.1063/1.3463216

Comparison of two methods for simulation of hard X-ray nanofocusing by elliptical mirrors
journal, November 2007

  • Kewish, Cameron M.; Macrander, Albert T.; Assoufid, Lahsen
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 582, Issue 1
  • DOI: 10.1016/j.nima.2007.08.141

Structured slope errors on real x-ray mirrors: ray tracing versus experiment
conference, November 1997

  • Signorato, Riccardo; Sanchez del Rio, Manuel
  • Optical Science, Engineering and Instrumentation '97, SPIE Proceedings
  • DOI: 10.1117/12.295553

Wavefront propagation simulations for beamlines and experiments with "Synchrotron Radiation Workshop"
journal, March 2013


Wavefront propagation through the beamline designed for seeding the DESY XUV FEL
journal, July 2001

  • Reininger, R.; Feldhaus, J.; Gürtler, P.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 467-468
  • DOI: 10.1016/S0168-9002(01)00214-5

Performance of Saga-University Beamline with Planer Undulator
conference, January 2010

  • Azuma, J.; Takahashi, K.; Kamada, M.
  • SRI 2009, 10TH INTERNATIONAL CONFERENCE ON RADIATION INSTRUMENTATION, AIP Conference Proceedings
  • DOI: 10.1063/1.3463210

SHADOW3 : a new version of the synchrotron X-ray optics modelling package
journal, July 2011

  • Sanchez del Rio, Manuel; Canestrari, Niccolo; Jiang, Fan
  • Journal of Synchrotron Radiation, Vol. 18, Issue 5
  • DOI: 10.1107/S0909049511026306

An x-ray autocorrelator and delay line for the VUV-FEL at TTF/DESY
conference, August 2005

  • Mitzner, Rolf; Neeb, Matthias; Noll, Tino
  • Optics & Photonics 2005, SPIE Proceedings
  • DOI: 10.1117/12.617304

A new ray-tracing program RIGTRACE for X-ray optical systems
journal, May 2001


A water-cooled mirror system for synchrotron radiation
journal, April 1988

  • DiGennaro, Richard; Gee, Bruce; Guigli, Jim
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 266, Issue 1-3
  • DOI: 10.1016/0168-9002(88)90437-8

A novel undulator-based PGM beamline for circularly polarised synchrotron radiation at BESSY II
journal, May 1997

  • Sawhney, K. J. S.; Senf, F.; Scheer, M.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 390, Issue 3
  • DOI: 10.1016/S0168-9002(97)00402-6

Eikonal Method for Calculation of Coherence Functions
journal, July 2005


Monochromator beamline for FLASH
journal, November 2006

  • Martins, M.; Wellhöfer, M.; Hoeft, J. T.
  • Review of Scientific Instruments, Vol. 77, Issue 11
  • DOI: 10.1063/1.2364148

Modelling of partially coherent radiation based on the coherent mode decomposition
conference, September 2011

  • Singer, Andrej; Vartanyants, Ivan A.
  • SPIE Optical Engineering + Applications, SPIE Proceedings
  • DOI: 10.1117/12.893618

Wavefront propagation in synchrotron radiation beamlines
conference, November 1997

  • Bahrdt, Johannes; Flechsig, Uwe
  • Optical Science, Engineering and Instrumentation '97, SPIE Proceedings
  • DOI: 10.1117/12.279369

Study of different SX‐700 monochromator designs for the undulator beamline (BL51) at MAX‐lab
journal, January 1992

  • Aksela, S.; Kivimäki, A.; Nyholm, R.
  • Review of Scientific Instruments, Vol. 63, Issue 1
  • DOI: 10.1063/1.1143093

Wave-front propagation: design code for synchrotron radiation beam lines
journal, January 1997


Design of the first undulator beamline for the Siam Photon Laboratory
journal, November 2007

  • Songsiriritthigul, P.; Kjornrattanawanich, B.; Tong-on, A.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 582, Issue 1
  • DOI: 10.1016/j.nima.2007.08.072

Optimization of the optical design of the Russian–German soft-X-ray beamline at BESSY II
journal, July 2001

  • Gorovikov, S. A.; Follath, R.; Molodtsov, S. L.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 467-468
  • DOI: 10.1016/S0168-9002(01)00413-2

Development of partially-coherent wavefront propagation simulation methods for 3rd and 4th generation synchrotron radiation sources
conference, September 2011

  • Chubar, Oleg; Berman, Lonny; Chu, Yong S.
  • SPIE Optical Engineering + Applications, SPIE Proceedings
  • DOI: 10.1117/12.892812

Improved focusing capability for inelastic X-ray spectrometer at 3-ID of the APS: A combination of toroidal and Kirkpatrick-Baez (KB) mirrors
journal, September 2011

  • Alatas, A.; Leu, B. M.; Zhao, J.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 649, Issue 1
  • DOI: 10.1016/j.nima.2010.11.068

Coherence properties of hard x-ray synchrotron sources and x-ray free-electron lasers
journal, March 2010


Simulation and optimization of the NSLS-II SRX beamline combining ray-tracing and wavefront propagation
conference, September 2011

  • De Andrade, Vincent; Thieme, Juergen; Chubar, Oleg
  • SPIE Optical Engineering + Applications, SPIE Proceedings
  • DOI: 10.1117/12.894954

Monte Carlo modeling of spatial coherence: free-space diffraction
journal, January 2008

  • Fischer, David G.; Prahl, Scott A.; Duncan, Donald D.
  • Journal of the Optical Society of America A, Vol. 25, Issue 10
  • DOI: 10.1364/JOSAA.25.002571

Comparative monochromator studies for a soft x-ray microfocus beamline for BESSY-II
journal, June 1999


Wave-optical evaluation of interference fringes and wavefront phase in a hard-x-ray beam totally reflected by mirror optics
journal, January 2005

  • Yamauchi, Kazuto; Yamamura, Kazuya; Mimura, Hidekazu
  • Applied Optics, Vol. 44, Issue 32
  • DOI: 10.1364/AO.44.006927

Performance Optimization for Hard X-ray Microscopy Beamlines Guided by Partially-Coherent Wavefront Propagation Calculations
conference, January 2010

  • Chubar, Oleg; Chu, Yong S.; Kaznatcheev, Konstantine
  • SRI 2009, 10TH INTERNATIONAL CONFERENCE ON RADIATION INSTRUMENTATION, AIP Conference Proceedings
  • DOI: 10.1063/1.3463322

SHADOW: New developments (abstract)
journal, July 1989

  • Lai, B.; Chapman, K.; Runkle, P.
  • Review of Scientific Instruments, Vol. 60, Issue 7
  • DOI: 10.1063/1.1140845

Ray Tracing Of Recent VUV Monochromator Designs
conference, December 1984

  • Cerrina, F.
  • 28th Annual Technical Symposium, SPIE Proceedings
  • DOI: 10.1117/12.944815

Specification of surface figure and finish in terms of system performance
journal, January 1993


Coherence properties of focused X-ray beams at high-brilliance synchrotron sources
journal, November 2013


Relationship between Surface Scattering and Microtopographic Features
journal, April 1979

  • Church, E. L.; Jenkinson, H. A.; Zavada, J. M.
  • Optical Engineering, Vol. 18, Issue 2
  • DOI: 10.1117/12.7972337

A high resolution monochromator for undulator radiation
journal, May 1984

  • Brown, Frederick C.; Hulbert, Steven L.
  • Nuclear Instruments and Methods in Physics Research, Vol. 222, Issue 1-2
  • DOI: 10.1016/0167-5087(84)90501-5

Waviness effects in ray-tracing of “real” optical surfaces
journal, August 1992

  • del Río, M. Sánchez; Marcelli, A.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 319, Issue 1-3
  • DOI: 10.1016/0168-9002(92)90550-N

PHASE: a universal software package for the propagation of time-dependent coherent light pulses along grazing incidence optics
conference, September 2011

  • Bahrdt, J.; Flechsig, U.; Gerhardt, S.
  • SPIE Optical Engineering + Applications, SPIE Proceedings
  • DOI: 10.1117/12.896707

A conceptual model for ray tracing calculations with mosaic crystals
journal, January 1992

  • Sánchez del Río, M.; Bernstorff, S.; Savoia, A.
  • Review of Scientific Instruments, Vol. 63, Issue 1
  • DOI: 10.1063/1.1143784

Application of partially coherent wavefront propagation calculations for design of coherence-preserving synchrotron radiation beamlines
journal, September 2011

  • Chubar, Oleg; Chu, Yong S.; Kaznatcheev, Konstantine
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 649, Issue 1
  • DOI: 10.1016/j.nima.2010.11.134

A Monte Carlo approach for simulating the propagation of partially coherent x-ray beams
conference, September 2011

  • Prodi, A.; Knudsen, E.; Willendrup, P.
  • SPIE Optical Engineering + Applications, SPIE Proceedings
  • DOI: 10.1117/12.894520

Hard X-ray optics simulation using the coherent mode decomposition of the Gaussian Schell model
journal, June 2013


Aspherical lens shapes for focusing synchrotron beams
journal, March 2012

  • Sanchez del Rio, Manuel; Alianelli, Lucia
  • Journal of Synchrotron Radiation, Vol. 19, Issue 3
  • DOI: 10.1107/S0909049512003020

Performance of a SX-700 monochromator exposed to wiggler radiation: coupled ray-tracing and finite-element approach
journal, September 1991

  • de Castro, A. R. B.; Reininger, R.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 307, Issue 1
  • DOI: 10.1016/0168-9002(91)90141-C

Boundary between geometric and wave optical treatment of x-ray mirrors
conference, August 2005


Image formation in capillary arrays: the Kumakhov lens
conference, June 1993

  • Chen, Guan-Jye; Cole III, Richard K.; Cerrina, Franco
  • SPIE'S 1993 Symposium on Microlithography, SPIE Proceedings
  • DOI: 10.1117/12.146518

Fractal surface finish
journal, January 1988


Fractal Surface Finish
conference, August 1988

  • Church, Eugene L.
  • 31st Annual Technical Symposium, SPIE Proceedings
  • DOI: 10.1117/12.942165

Works referencing / citing this record:

Shaping Photon Beams with Undulators and Wigglers
book, January 2019


In-plane wavevector distribution in partially coherent X-ray propagation
journal, June 2019


Direct 2D spatial-coherence determination using the Fourier-analysis method: Multi-parameter characterization of the P04 beamline at PETRA III
text, January 2020

  • Bagschik, Kai; Wagner, Jochen; Buß, Ralph
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2020-00759

Shaping Photon Beams with Undulators and Wigglers
book, January 2016


Direct 2D spatial-coherence determination using the Fourier-analysis method: multi-parameter characterization of the P04 beamline at PETRA III
journal, January 2020

  • Bagschik, Kai; Wagner, Jochen; Buß, Ralph
  • Optics Express, Vol. 28, Issue 5
  • DOI: 10.1364/oe.382608

Coherence properties of the high-energy fourth-generation X-ray synchrotron sources
text, January 2019

  • Khubbutdinov, R.; Menushenkov, A. P.; Vartanyants, I. A.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2019-05140

Shaping Photon Beams with Undulators and Wigglers
book, January 2014


Coherence properties of the high-energy fourth-generation X-ray synchrotron sources
text, January 2019