Emittance preservation through density ramp matching sections in a plasma wakefield accelerator
Abstract
In plasma wakefield acceleration, the witness beam’s emittance needs to be preserved when it propagates through a plasma stage. The plasma includes density ramps at both the entrance and the exit. Using the Wentzel-Kramers-Brillouin solution of a single particle’s motion, analytical expressions for the evolution of the beam emittance and the Twiss parameters in an arbitrary adiabatic plasma profile are provided neglecting the acceleration of the beam inside the plasma. It is shown that the beam emittance can be preserved under the matching condition even when the beam has an initial energy spread. It is also shown that the emittance growth for an unmatched beam is minimized when it is focused to the same vacuum plane for a matched beam. The emittance evolution from 3D QuickPIC simulation results agree well with the theoretical results. In the some of the proposed experiments on nearly completed FACET II facility, the matching condition may not be perfectly satisfied and the wake may not be perfectly symmetric. It is shown that for a given set of beam parameters that are consistent with FACET II capabilities, even when the assumptions of the theory are not satisfied, the emittance growth can still be minimized by choosingmore »
- Authors:
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of California, Los Angeles, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1581045
- Alternate Identifier(s):
- OSTI ID: 1605017; OSTI ID: 1737402
- Grant/Contract Number:
- SC0010064; AC02-76SF00515; 1806046; 644405
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Accelerators and Beams
- Additional Journal Information:
- Journal Name: Physical Review Accelerators and Beams Journal Volume: 23 Journal Issue: 1; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 43 PARTICLE ACCELERATORS; Plasma acceleration; new acceleration techniques
Citation Formats
Zhao, Yujian, An, Weiming, Xu, Xinlu, Li, Fei, Hildebrand, Lance, Hogan, Mark J., Yakimenko, Vitaly, Joshi, Chan, and Mori, Warren B. Emittance preservation through density ramp matching sections in a plasma wakefield accelerator. United States: N. p., 2020.
Web. doi:10.1103/PhysRevAccelBeams.23.011302.
Zhao, Yujian, An, Weiming, Xu, Xinlu, Li, Fei, Hildebrand, Lance, Hogan, Mark J., Yakimenko, Vitaly, Joshi, Chan, & Mori, Warren B. Emittance preservation through density ramp matching sections in a plasma wakefield accelerator. United States. doi:10.1103/PhysRevAccelBeams.23.011302.
Zhao, Yujian, An, Weiming, Xu, Xinlu, Li, Fei, Hildebrand, Lance, Hogan, Mark J., Yakimenko, Vitaly, Joshi, Chan, and Mori, Warren B. Fri .
"Emittance preservation through density ramp matching sections in a plasma wakefield accelerator". United States. doi:10.1103/PhysRevAccelBeams.23.011302.
@article{osti_1581045,
title = {Emittance preservation through density ramp matching sections in a plasma wakefield accelerator},
author = {Zhao, Yujian and An, Weiming and Xu, Xinlu and Li, Fei and Hildebrand, Lance and Hogan, Mark J. and Yakimenko, Vitaly and Joshi, Chan and Mori, Warren B.},
abstractNote = {In plasma wakefield acceleration, the witness beam’s emittance needs to be preserved when it propagates through a plasma stage. The plasma includes density ramps at both the entrance and the exit. Using the Wentzel-Kramers-Brillouin solution of a single particle’s motion, analytical expressions for the evolution of the beam emittance and the Twiss parameters in an arbitrary adiabatic plasma profile are provided neglecting the acceleration of the beam inside the plasma. It is shown that the beam emittance can be preserved under the matching condition even when the beam has an initial energy spread. It is also shown that the emittance growth for an unmatched beam is minimized when it is focused to the same vacuum plane for a matched beam. The emittance evolution from 3D QuickPIC simulation results agree well with the theoretical results. In the some of the proposed experiments on nearly completed FACET II facility, the matching condition may not be perfectly satisfied and the wake may not be perfectly symmetric. It is shown that for a given set of beam parameters that are consistent with FACET II capabilities, even when the assumptions of the theory are not satisfied, the emittance growth can still be minimized by choosing the optimal focal plane. Last, another issue that may cause emittance growth in realistic plasmas is also examined. When using a lithium plasma source in FACET II experiments a helium buffer gas is used. The plasma is formed from field ionization which can lead to a nonlinear focusing force when there are nonuniform helium ions due to its high ionization potential. For an initial beam emittance of 20 μ m , the helium ionization is found to be small and the witness beam’s emittance can be preserved.},
doi = {10.1103/PhysRevAccelBeams.23.011302},
journal = {Physical Review Accelerators and Beams},
number = 1,
volume = 23,
place = {United States},
year = {2020},
month = {1}
}
DOI: 10.1103/PhysRevAccelBeams.23.011302
Web of Science
Works referenced in this record:
Physics of Phase Space Matching for Staging Plasma and Traditional Accelerator Components Using Longitudinally Tailored Plasma Profiles
journal, March 2016
- Xu, X. L.; Hua, J. F.; Wu, Y. P.
- Physical Review Letters, Vol. 116, Issue 12
Energy doubling of 42 GeV electrons in a metre-scale plasma wakefield accelerator
journal, February 2007
- Blumenfeld, Ian; Clayton, Christopher E.; Decker, Franz-Josef
- Nature, Vol. 445, Issue 7129
QUICKPIC: A highly efficient particle-in-cell code for modeling wakefield acceleration in plasmas
journal, September 2006
- Huang, C.; Decyk, V. K.; Ren, C.
- Journal of Computational Physics, Vol. 217, Issue 2
Transverse beam dynamics in a plasma density ramp
journal, April 2019
- Ariniello, R.; Doss, C. E.; Hunt-Stone, K.
- Physical Review Accelerators and Beams, Vol. 22, Issue 4
Intrinsic normalized emittance growth in laser-driven electron accelerators
journal, January 2013
- Migliorati, M.; Bacci, A.; Benedetti, C.
- Physical Review Special Topics - Accelerators and Beams, Vol. 16, Issue 1
High-efficiency acceleration of an electron beam in a plasma wakefield accelerator
journal, November 2014
- Litos, M.; Adli, E.; An, W.
- Nature, Vol. 515, Issue 7525
Introduction to wakefields and wake potentials
conference, January 1989
- Wilson, P. B.
- PHYSICS OF PARTICLE ACCELERATORS, AIP Conference Proceedings
An improved iteration loop for the three dimensional quasi-static particle-in-cell algorithm: QuickPIC
journal, October 2013
- An, Weiming; Decyk, Viktor K.; Mori, Warren B.
- Journal of Computational Physics, Vol. 250
Nonlinear Theory for Relativistic Plasma Wakefields in the Blowout Regime
journal, April 2006
- Lu, W.; Huang, C.; Zhou, M.
- Physical Review Letters, Vol. 96, Issue 16
Transverse emittance growth in staged laser-wakefield acceleration
journal, November 2012
- Mehrling, T.; Grebenyuk, J.; Tsung, F. S.
- Physical Review Special Topics - Accelerators and Beams, Vol. 15, Issue 11
Analytical model for the uncorrelated emittance evolution of externally injected beams in plasma-based accelerators
journal, November 2018
- Aschikhin, Alexander; Mehrling, Timon Johannes; Martinez de la Ossa, Alberto
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 909
Adiabatic matching section for plasma accelerated beams
journal, May 2014
- Floettmann, Klaus
- Physical Review Special Topics - Accelerators and Beams, Vol. 17, Issue 5
Some Considerations Concerning the Transverse Deflection of Charged Particles in Radio‐Frequency Fields
journal, November 1956
- Panofsky, W. K. H.; Wenzel, W. A.
- Review of Scientific Instruments, Vol. 27, Issue 11
Mitigation Techniques for Witness Beam Hosing in Plasma - Based Acceleration
conference, August 2018
- Hildebrand, L.; An, W.; Xu, X. L.
- 2018 IEEE Advanced Accelerator Concepts Workshop (AAC)
Particle-in-cell simulations of tunneling ionization effects in plasma-based accelerators
journal, May 2003
- Bruhwiler, David L.; Dimitrov, D. A.; Cary, John R.
- Physics of Plasmas, Vol. 10, Issue 5
Laser-driven electron beamlines generated by coupling laser-plasma sources with conventional transport systems
journal, August 2012
- Antici, P.; Bacci, A.; Benedetti, C.
- Journal of Applied Physics, Vol. 112, Issue 4
Plasma wakefield acceleration experiments at FACET II
journal, January 2018
- Joshi, C.; Adli, E.; An, W.
- Plasma Physics and Controlled Fusion, Vol. 60, Issue 3
Emittance conservation by tailored focusing profiles in a plasma accelerator
journal, April 2015
- Dornmair, I.; Floettmann, K.; Maier, A. R.
- Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue 4
Works referencing / citing this record:
Matching small functions using centroid jitter and two beam position monitors
journal, May 2020
- Lindstrøm, C. A.; D’Arcy, R.; Garland, M. J.
- Physical Review Accelerators and Beams, Vol. 23, Issue 5