Accurate modeling of plasma acceleration with arbitrary order pseudo-spectral particle-in-cell methods

Jalas, S.; Dornmair, I.; Lehe, R.; Vincenti, H.; Vay, J. -L.; Kirchen, M.; Maier, A. R.

doi:10.1063/1.4978569

Title: Accurate modeling of plasma acceleration with arbitrary order pseudo-spectral particle-in-cell methods

Journal Article · Mon Mar 20 00:00:00 EDT 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4978569· OSTI ID:1393128

Jalas, S. ^[1]; Dornmair, I. ^[1]; Lehe, R. ^[2]; Vincenti, H. ^[2]; Vay, J. -L. ^[2]; Kirchen, M. ^[1];

^[1]

Univ. of Hamburg (Germany). Center for Free-Electron Laser Science & Dept. of Physics
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Particle in Cell (PIC) simulations are a widely used tool for the investigation of both laser- and beam-driven plasma acceleration. It is a known issue that the beam quality can be artificially degraded by numerical Cherenkov radiation (NCR) resulting primarily from an incorrectly modeled dispersion relation. Pseudo-spectral solvers featuring infinite order stencils can strongly reduce NCR - or even suppress it - and are therefore well suited to correctly model the beam properties. For efficient parallelization of the PIC algorithm, however, localized solvers are inevitable. Arbitrary order pseudo-spectral methods provide this needed locality. Yet, these methods can again be prone to NCR. Here in this paper, we show that acceptably low solver orders are sufficient to correctly model the physics of interest, while allowing for parallel computation by domain decomposition.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1393128

Alternate ID(s):: OSTI ID: 1349384

Journal Information:: Physics of Plasmas, Vol. 24, Issue 3; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 20 works

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References (27)

Accurate Modeling Of Plasma Acceleration With Arbitrary Order Pseudo-Spectral Particle-In-Cell Methods Jalas, S.; Dornmair, I.; Lehe, R. Zenodo https://doi.org/10.5281/zenodo.292336	dataset	January 2017
Generation of finite difference formulas on arbitrarily spaced grids Fornberg, Bengt Mathematics of Computation, Vol. 51, Issue 184 https://doi.org/10.1090/S0025-5718-1988-0935077-0	journal	January 1988
A domain decomposition method for pseudo-spectral electromagnetic simulations of plasmas Vay, Jean-Luc; Haber, Irving; Godfrey, Brendan B. Journal of Computational Physics, Vol. 243 https://doi.org/10.1016/j.jcp.2013.03.010	journal	June 2013
Physics considerations for laser-plasma linear colliders Schroeder, C. B.; Esarey, E.; Geddes, C. G. R. Physical Review Special Topics - Accelerators and Beams, Vol. 13, Issue 10 https://doi.org/10.1103/PhysRevSTAB.13.101301	journal	October 2010
Multi-GeV Electron Beams from Capillary-Discharge-Guided Subpetawatt Laser Pulses in the Self-Trapping Regime Leemans, W. P.; Gonsalves, A. J.; Mao, H. -S. Physical Review Letters, Vol. 113, Issue 24 https://doi.org/10.1103/PhysRevLett.113.245002	journal	December 2014
High-efficiency acceleration of an electron beam in a plasma wakefield accelerator Litos, M.; Adli, E.; An, W. Nature, Vol. 515, Issue 7525 https://doi.org/10.1038/nature13882	journal	November 2014
The PSTD algorithm: A time-domain method requiring only two cells per wavelength Liu, Q. H. Microwave and Optical Technology Letters, Vol. 15, Issue 3 https://doi.org/10.1002/(SICI)1098-2760(19970620)15:3<158::AID-MOP11>3.0.CO;2-3	journal	June 1997
Quasi-monoenergetic laser-plasma acceleration of electrons to 2 GeV Wang, Xiaoming; Zgadzaj, Rafal; Fazel, Neil Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2988	journal	June 2013
Novel methods in the Particle-In-Cell accelerator Code-Framework Warp Vay, J-L; Grote, D. P.; Cohen, R. H. Computational Science & Discovery, Vol. 5, Issue 1 https://doi.org/10.1088/1749-4699/5/1/014019	journal	January 2012
Elimination of numerical Cherenkov instability in flowing-plasma particle-in-cell simulations by using Galilean coordinates Lehe, Remi; Kirchen, Manuel; Godfrey, Brendan B. Physical Review E, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevE.94.053305	journal	November 2016
Numerical growth of emittance in simulations of laser-wakefield acceleration Lehe, R.; Lifschitz, A.; Thaury, C. Physical Review Special Topics - Accelerators and Beams, Vol. 16, Issue 2 https://doi.org/10.1103/PhysRevSTAB.16.021301	journal	February 2013
fbpic/fbpic: 0.2.0 Lehe, Remi; Kirchen, M.; Jalas, Sören https://doi.org/10.5281/zenodo.232429	software	January 2017
Demonstration Scheme for a Laser-Plasma-Driven Free-Electron Laser Maier, A. R.; Meseck, A.; Reiche, S. Physical Review X, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevX.2.031019	journal	September 2012
Controlling the numerical Cerenkov instability in PIC simulations using a customized finite difference Maxwell solver and a local FFT based current correction Li, Fei; Yu, Peicheng; Xu, Xinlu Computer Physics Communications, Vol. 214 https://doi.org/10.1016/j.cpc.2017.01.001	journal	May 2017
Compact X-ray Free-Electron Laser from a Laser-Plasma Accelerator Using a Transverse-Gradient Undulator Huang, Zhirong; Ding, Yuantao; Schroeder, Carl B. Physical Review Letters, Vol. 109, Issue 20 https://doi.org/10.1103/PhysRevLett.109.204801	journal	November 2012
Generalized algorithm for control of numerical dispersion in explicit time-domain electromagnetic simulations Cowan, Benjamin M.; Bruhwiler, David L.; Cary, John R. Physical Review Special Topics - Accelerators and Beams, Vol. 16, Issue 4 https://doi.org/10.1103/PhysRevSTAB.16.041303	journal	April 2013
GeV electron beams from a centimetre-scale accelerator Leemans, W. P.; Nagler, B.; Gonsalves, A. J. Nature Physics, Vol. 2, Issue 10 https://doi.org/10.1038/nphys418	journal	September 2006
Stable discrete representation of relativistically drifting plasmas Kirchen, M.; Lehe, R.; Godfrey, B. B. Physics of Plasmas, Vol. 23, Issue 10 https://doi.org/10.1063/1.4964770	journal	October 2016
A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm Lehe, Rémi; Kirchen, Manuel; Andriyash, Igor A. Computer Physics Communications, Vol. 203 https://doi.org/10.1016/j.cpc.2016.02.007	journal	June 2016
Beam-driven plasma-based acceleration of electrons with density down-ramp injection at FLASHForward Grebenyuk, J.; Martinez de la Ossa, A.; Mehrling, T. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 740 https://doi.org/10.1016/j.nima.2013.10.054	journal	March 2014
Detailed analysis of the effects of stencil spatial variations with arbitrary high-order finite-difference Maxwell solver Vincenti, H.; Vay, J. -L. Computer Physics Communications, Vol. 200 https://doi.org/10.1016/j.cpc.2015.11.009	journal	March 2016
Laser-plasma lens for laser-wakefield accelerators Lehe, R.; Thaury, C.; Guillaume, E. Physical Review Special Topics - Accelerators and Beams, Vol. 17, Issue 12 https://doi.org/10.1103/PhysRevSTAB.17.121301	journal	December 2014
Particle-in-Cell modelling of laser–plasma interaction using Fourier decomposition Lifschitz, A. F.; Davoine, X.; Lefebvre, E. Journal of Computational Physics, Vol. 228, Issue 5 https://doi.org/10.1016/j.jcp.2008.11.017	journal	March 2009
Numerical Cherenkov instabilities in electromagnetic particle codes Godfrey, Brendan B. Journal of Computational Physics, Vol. 15, Issue 4 https://doi.org/10.1016/0021-9991(74)90076-X	journal	August 1974
Summary report of working group 2: Computations for accelerator physics Vay, Jean-Luc; Arefiev, Alexey ADVANCED ACCELERATOR CONCEPTS 2016: 16th Advanced Accelerator Concepts Workshop, AIP Conference Proceedings https://doi.org/10.1063/1.4965596	conference	January 2016
Summary report of working group 2: Computations for accelerator physics Cowan, Benjamin M.; Benedetti, C. ADVANCED ACCELERATOR CONCEPTS: 17th Advanced Accelerator Concepts Workshop, AIP Conference Proceedings https://doi.org/10.1063/1.4975841	conference	January 2017
Summary report of Working Group 2: Computations for accelerator physics Bruhwiler, David L.; Li, Zenghai ADVANCED ACCELERATOR CONCEPTS: 15th Advanced Accelerator Concepts Workshop, AIP Conference Proceedings https://doi.org/10.1063/1.4773695	conference	January 2013

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Tailored plasma-density profiles for enhanced energy extraction in passive plasma beam dumps Jakobsson, O.; Bonatto, A.; Li, Y. Plasma Physics and Controlled Fusion, Vol. 61, Issue 12 https://doi.org/10.1088/1361-6587/ab4cfb	journal	October 2019
Lux – A laser–plasma driven undulator beamline Delbos, N.; Werle, C.; Dornmair, I. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 909 https://doi.org/10.1016/j.nima.2018.01.082	journal	November 2018

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