Compact representations of partially coherent undulator radiation suitable for wave propagation
Abstract
Undulator radiation is partially coherent in the transverse plane, with the degree of coherence depending on the ratio of the electron beam phase space area (emittance) to the characteristic radiation wavelength λ. Numerical codes used to predict x-ray beam line performance can typically only propagate coherent fields from the source to the image plane. We investigate methods for representing partially coherent undulator radiation using a suitably chosen set of coherent fields that can be used in standard wave propagation codes, and discuss such “coherent mode expansions” for arbitrary degrees of coherence. In the limit when the electron beam emittance along at least one direction is much larger than λ the coherent modes are orthogonal and therefore compact; when the emittance approaches λ in both planes we discuss an economical method of defining the relevant coherent fields that samples the electron beam phase space using low-discrepancy sequences.
- Authors:
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1222045
- Alternate Identifier(s):
- OSTI ID: 1221642
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Special Topics. Accelerators and Beams
- Additional Journal Information:
- Journal Volume: 18; Journal Issue: 9; Journal ID: ISSN 1098-4402
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 43 PARTICLE ACCELERATORS
Citation Formats
Lindberg, Ryan R., and Kim, Kwang-Je. Compact representations of partially coherent undulator radiation suitable for wave propagation. United States: N. p., 2015.
Web. doi:10.1103/PhysRevSTAB.18.090702.
Lindberg, Ryan R., & Kim, Kwang-Je. Compact representations of partially coherent undulator radiation suitable for wave propagation. United States. https://doi.org/10.1103/PhysRevSTAB.18.090702
Lindberg, Ryan R., and Kim, Kwang-Je. Mon .
"Compact representations of partially coherent undulator radiation suitable for wave propagation". United States. https://doi.org/10.1103/PhysRevSTAB.18.090702.
@article{osti_1222045,
title = {Compact representations of partially coherent undulator radiation suitable for wave propagation},
author = {Lindberg, Ryan R. and Kim, Kwang-Je},
abstractNote = {Undulator radiation is partially coherent in the transverse plane, with the degree of coherence depending on the ratio of the electron beam phase space area (emittance) to the characteristic radiation wavelength λ. Numerical codes used to predict x-ray beam line performance can typically only propagate coherent fields from the source to the image plane. We investigate methods for representing partially coherent undulator radiation using a suitably chosen set of coherent fields that can be used in standard wave propagation codes, and discuss such “coherent mode expansions” for arbitrary degrees of coherence. In the limit when the electron beam emittance along at least one direction is much larger than λ the coherent modes are orthogonal and therefore compact; when the emittance approaches λ in both planes we discuss an economical method of defining the relevant coherent fields that samples the electron beam phase space using low-discrepancy sequences.},
doi = {10.1103/PhysRevSTAB.18.090702},
journal = {Physical Review Special Topics. Accelerators and Beams},
number = 9,
volume = 18,
place = {United States},
year = {Mon Sep 28 00:00:00 EDT 2015},
month = {Mon Sep 28 00:00:00 EDT 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevSTAB.18.090702
https://doi.org/10.1103/PhysRevSTAB.18.090702
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 12 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Diffraction-limited storage rings – a window to the science of tomorrow
journal, August 2014
- Eriksson, Mikael; van der Veen, J. Friso; Quitmann, Christoph
- Journal of Synchrotron Radiation, Vol. 21, Issue 5
DLSR design and plans: an international overview
journal, August 2014
- Hettel, Robert
- Journal of Synchrotron Radiation, Vol. 21, Issue 5
First multi-bend achromat lattice consideration
journal, August 2014
- Einfeld, Dieter; Plesko, Mark; Schaper, Joachim
- Journal of Synchrotron Radiation, Vol. 21, Issue 5
Lattice design challenges for fourth-generation storage-ring light sources
journal, August 2014
- Borland, Michael; Decker, Glenn; Emery, Louis
- Journal of Synchrotron Radiation, Vol. 21, Issue 5
X-ray photon correlation spectroscopy
journal, August 2014
- Shpyrko, Oleg G.
- Journal of Synchrotron Radiation, Vol. 21, Issue 5
Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens
journal, July 1999
- Miao, Jianwei; Charalambous, Pambos; Kirz, Janos
- Nature, Vol. 400, Issue 6742
Diffractive Imaging Using Partially Coherent X Rays
journal, December 2009
- Whitehead, L. W.; Williams, G. J.; Quiney, H. M.
- Physical Review Letters, Vol. 103, Issue 24
Coherent imaging at the diffraction limit
journal, August 2014
- Thibault, Pierre; Guizar-Sicairos, Manuel; Menzel, Andreas
- Journal of Synchrotron Radiation, Vol. 21, Issue 5
Hard X-ray nanofocusing at low-emittance synchrotron radiation sources
journal, August 2014
- Schroer, Christian G.; Falkenberg, Gerald
- Journal of Synchrotron Radiation, Vol. 21, Issue 5
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
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
X-ray optics simulation using Gaussian superposition technique
journal, January 2011
- Idir, Mourad; Cywiak, Moisés; Morales, Arquímedes
- Optics Express, Vol. 19, Issue 20
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
A hybrid method for X-ray optics simulation: combining geometric ray-tracing and wavefront propagation
journal, May 2014
- Shi, Xianbo; Reininger, Ruben; Sanchez del Rio, Manuel
- Journal of Synchrotron Radiation, Vol. 21, Issue 4
Characteristics of synchrotron radiation
conference, January 1989
- Kim, Kwang-Je
- PHYSICS OF PARTICLE ACCELERATORS, AIP Conference Proceedings
Brightness, coherence and propagation characteristics of synchrotron radiation
journal, May 1986
- Kim, Kwang-Je
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 246, Issue 1-3
Transverse coherence properties of X-ray beams in third-generation synchrotron radiation sources
journal, April 2008
- Geloni, Gianluca; Saldin, Evgeni; Schneidmiller, Evgeni
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 588, Issue 3
Wavefront tracking within the stationary phase approximation
journal, June 2007
- Bahrdt, Johannes
- Physical Review Special Topics - Accelerators and Beams, Vol. 10, Issue 6
Simulation of emission and propagation of coherent synchrotron radiation wave fronts using the methods of wave optics
journal, September 2006
- Chubar, O.
- Infrared Physics & Technology, Vol. 49, Issue 1-2
Synchrotron radiation representation in phase space
journal, May 2012
- Bazarov, Ivan V.
- Physical Review Special Topics - Accelerators and Beams, Vol. 15, Issue 5
Numerical methods for characterization of synchrotron radiation based on the Wigner function method
journal, June 2014
- Tanaka, Takashi
- Physical Review Special Topics - Accelerators and Beams, Vol. 17, Issue 6
Application of the Wigner distribution function to partially coherent light
journal, January 1986
- Bastiaans, Martin J.
- Journal of the Optical Society of America A, Vol. 3, Issue 8
Collett-Wolf sources and multimode lasers
journal, September 1980
- Gori, F.
- Optics Communications, Vol. 34, Issue 3
Coherent-mode representation of Gaussian Schell-model sources and of their radiation fields
journal, January 1982
- Starikov, A.; Wolf, E.
- Journal of the Optical Society of America, Vol. 72, Issue 7
Gauss–Schell Sources as Models for Synchrotron Radiation
journal, September 1997
- Coïsson, R.; Marchesini, S.
- Journal of Synchrotron Radiation, Vol. 4, Issue 5
Coherence properties of hard x-ray synchrotron sources and x-ray free-electron lasers
journal, March 2010
- Vartanyants, I. A.; Singer, A.
- New Journal of Physics, Vol. 12, Issue 3
The Exponentially Convergent Trapezoidal Rule
journal, January 2014
- Trefethen, Lloyd N.; Weideman, J. A. C.
- SIAM Review, Vol. 56, Issue 3
Algorithm 247: Radical-inverse quasi-random point sequence
journal, December 1964
- Halton, J. H.
- Communications of the ACM, Vol. 7, Issue 12
A Note on the Generation of Random Normal Deviates
journal, June 1958
- Box, G. E. P.; Muller, Mervin E.
- The Annals of Mathematical Statistics, Vol. 29, Issue 2