Propagation of partially coherent radiation using Wigner functions
Abstract
Undulator radiation from synchrotron light sources must be transported down a beam line from the source to the sample. A partially coherent photon beam may be represented in phase space using a Wigner function, and its transport may use some similar techniques that are familiar in particle beam transport. We describe this process in the case that the beam line is composed of linear focusing and defocusing sections as well as apertures. We present a compact representation of the beam line map involving linear transformations and convolutions. We create a 1:1 imaging system with a single slit on the image plane and observe the radiation downstream to it. We propagate a Gaussian beam and undulator radiation down this sample beam line, drawing parameters from current and future ultra low emittance light sources. We derive an analytic expression for the partially coherent Gaussian case including passage through a single slit aperture. We benchmark the Wigner function calculation against the analytical expression and a partially coherent calculation in the synchrotron radiation workshop (SRW) code.
- Publication Date:
- Research Org.:
- RadiaSoft, LLC, Boulder, CO (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 2325150
- Alternate Identifier(s):
- OSTI ID: 1852669
- Grant/Contract Number:
- SC0020593; SC0018571
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Accelerators and Beams
- Additional Journal Information:
- Journal Name: Physical Review Accelerators and Beams Journal Volume: 24 Journal Issue: 1; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Physics; electromagnetic field calculations; optical coherence; x-ray beams & optics
Citation Formats
Nash, Boaz, Goldring, Nicholas, Edelen, Jonathan, Webb, Stephen, and Celestre, Rafael. Propagation of partially coherent radiation using Wigner functions. United States: N. p., 2021.
Web. doi:10.1103/PhysRevAccelBeams.24.010702.
Nash, Boaz, Goldring, Nicholas, Edelen, Jonathan, Webb, Stephen, & Celestre, Rafael. Propagation of partially coherent radiation using Wigner functions. United States. https://doi.org/10.1103/PhysRevAccelBeams.24.010702
Nash, Boaz, Goldring, Nicholas, Edelen, Jonathan, Webb, Stephen, and Celestre, Rafael. Tue .
"Propagation of partially coherent radiation using Wigner functions". United States. https://doi.org/10.1103/PhysRevAccelBeams.24.010702.
@article{osti_2325150,
title = {Propagation of partially coherent radiation using Wigner functions},
author = {Nash, Boaz and Goldring, Nicholas and Edelen, Jonathan and Webb, Stephen and Celestre, Rafael},
abstractNote = {Undulator radiation from synchrotron light sources must be transported down a beam line from the source to the sample. A partially coherent photon beam may be represented in phase space using a Wigner function, and its transport may use some similar techniques that are familiar in particle beam transport. We describe this process in the case that the beam line is composed of linear focusing and defocusing sections as well as apertures. We present a compact representation of the beam line map involving linear transformations and convolutions. We create a 1:1 imaging system with a single slit on the image plane and observe the radiation downstream to it. We propagate a Gaussian beam and undulator radiation down this sample beam line, drawing parameters from current and future ultra low emittance light sources. We derive an analytic expression for the partially coherent Gaussian case including passage through a single slit aperture. We benchmark the Wigner function calculation against the analytical expression and a partially coherent calculation in the synchrotron radiation workshop (SRW) code.},
doi = {10.1103/PhysRevAccelBeams.24.010702},
journal = {Physical Review Accelerators and Beams},
number = 1,
volume = 24,
place = {United States},
year = {Tue Jan 19 00:00:00 EST 2021},
month = {Tue Jan 19 00:00:00 EST 2021}
}
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https://doi.org/10.1103/PhysRevAccelBeams.24.010702
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