Stable discrete representation of relativistically drifting plasmas

Kirchen, M.; Lehe, R.; Godfrey, B. B.; Dornmair, I.; Jalas, S.; Peters, K.; Vay, J. -L.; Maier, A. R.

doi:10.1063/1.4964770

Title: Stable discrete representation of relativistically drifting plasmas

Abstract

Representing the electrodynamics of relativistically drifting particle ensembles in discrete, co-propagating Galilean coordinates enables the derivation of a Particle-In-Cell algorithm that is intrinsically free of the numerical Cherenkov instability for plasmas flowing at a uniform velocity. Application of the method is shown by modeling plasma accelerators in a Lorentz-transformed optimal frame of reference.

Authors:

Kirchen, M.; Lehe, R.;

; Dornmair, I.; Jalas, S.; Peters, K.; Vay, J. -L.;

Publication Date:: Sat Oct 01 00:00:00 EDT 2016

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

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

OSTI Identifier:: 1328565

Alternate Identifier(s):: OSTI ID: 1393079; OSTI ID: 1421101

Grant/Contract Number:: AC02-05CH11231

Resource Type:: Published Article

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Name: Physics of Plasmas Journal Volume: 23 Journal Issue: 10; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Relativistic plasmas; Maxwell equations; Particle-in-cell method; Astrophysical plasmas; Plasma instabilities

Citation Formats


                    Kirchen, M., Lehe, R., Godfrey, B. B., Dornmair, I., Jalas, S., Peters, K., Vay, J. -L., and Maier, A. R. Stable discrete representation of relativistically drifting plasmas.  United States: N. p., 2016. 
Web.  doi:10.1063/1.4964770.

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                    Kirchen, M., Lehe, R., Godfrey, B. B., Dornmair, I., Jalas, S., Peters, K., Vay, J. -L., & Maier, A. R. Stable discrete representation of relativistically drifting plasmas.  United States.  https://doi.org/10.1063/1.4964770

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                    Kirchen, M., Lehe, R., Godfrey, B. B., Dornmair, I., Jalas, S., Peters, K., Vay, J. -L., and Maier, A. R. Sat .  
"Stable discrete representation of relativistically drifting plasmas".  United States.  https://doi.org/10.1063/1.4964770.

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@article{osti_1328565,

  title        = {Stable discrete representation of relativistically drifting plasmas},

  author       = {Kirchen, M. and Lehe, R. and Godfrey, B. B. and Dornmair, I. and Jalas, S. and Peters, K. and Vay, J. -L. and Maier, A. R.},

  abstractNote = {Representing the electrodynamics of relativistically drifting particle ensembles in discrete, co-propagating Galilean coordinates enables the derivation of a Particle-In-Cell algorithm that is intrinsically free of the numerical Cherenkov instability for plasmas flowing at a uniform velocity. Application of the method is shown by modeling plasma accelerators in a Lorentz-transformed optimal frame of reference.},

  doi          = {10.1063/1.4964770},

  journal      = {Physics of Plasmas},

  number       = 10,

  volume       = 23,

  place        = {United States},

  year         = {Sat Oct 01 00:00:00 EDT 2016},

  month        = {Sat Oct 01 00:00:00 EDT 2016}

}

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Works referenced in this record:

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Numerical methods for instability mitigation in the modeling of laser wakefield accelerators in a Lorentz-boosted frame
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Vay, J. -L.; Geddes, C. G. R.; Cormier-Michel, E.
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Effects of hyperbolic rotation in Minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame
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Vay, J. -L.; Geddes, C. G. R.; Cormier-Michel, E.
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Numerical simulations of laser wakefield accelerators in optimal Lorentz frames
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Martins, Samuel F.; Fonseca, Ricardo A.; Silva, Luís O.
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Suppressing the numerical Cherenkov instability in FDTD PIC codes
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Godfrey, Brendan B.; Vay, Jean-Luc
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Improved numerical Cherenkov instability suppression in the generalized PSTD PIC algorithm
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Godfrey, Brendan B.; Vay, Jean-Luc
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Numerical stability analysis of the pseudo-spectral analytical time-domain PIC algorithm
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Numerical Stability Improvements for the Pseudospectral EM PIC Algorithm
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Godfrey, Brendan B.; Vay, Jean-Luc; Haber, Irving
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Elimination of the numerical Cerenkov instability for spectral EM-PIC codes
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Yu, Peicheng; Xu, Xinlu; Decyk, Viktor K.
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Mitigation of numerical Cerenkov radiation and instability using a hybrid finite difference-FFT Maxwell solver and a local charge conserving current deposit
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Yu, Peicheng; Xu, Xinlu; Tableman, Adam
Computer Physics Communications, Vol. 197
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Novel methods in the Particle-In-Cell accelerator Code-Framework Warp
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Vay, J-L; Grote, D. P.; Cohen, R. H.
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Particle-in-Cell modelling of laser–plasma interaction using Fourier decomposition
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Lifschitz, A. F.; Davoine, X.; Lefebvre, E.
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Lehe, Rémi; Kirchen, Manuel; Andriyash, Igor A.
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Works referencing / citing this record:

Accurate modeling of plasma acceleration with arbitrary order pseudo-spectral particle-in-cell methods
journal, March 2017

Jalas, S.; Dornmair, I.; Lehe, R.
Physics of Plasmas, Vol. 24, Issue 3
DOI: 10.1063/1.4978569

Efficient start-to-end 3D envelope modeling for two-stage laser wakefield acceleration experiments
journal, October 2019

Massimo, F.; Beck, A.; Derouillat, J.
Plasma Physics and Controlled Fusion, Vol. 61, Issue 12
DOI: 10.1088/1361-6587/ab49cf

Numerical studies on electron beam quality optimization in a laser-driven plasma accelerator with external injection at SINBAD for ATHENA _e
journal, November 2019

Svystun, E. N.; Assmann, R. W.; Dorda, U.
Journal of Physics: Conference Series, Vol. 1350
DOI: 10.1088/1742-6596/1350/1/012058

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Title: Stable discrete representation of relativistically drifting plasmas

Abstract

Citation Formats

Principles and capabilities of 3-D, E-M particle simulations journal, November 1980

Particle simulation of plasmas journal, April 1983

Plasma Physics via Computer Simulation book, January 1991

Physics of laser-driven plasma-based electron accelerators journal, August 2009

Noninvariance of Space- and Time-Scale Ranges under a Lorentz Transformation and the Implications for the Study of Relativistic Interactions journal, March 2007

The Maximum Energy of Accelerated Particles in Relativistic Collisionless Shocks journal, June 2013

Numerical Cherenkov instabilities in electromagnetic particle codes journal, August 1974

Canonical momenta and numerical instabilities in particle codes journal, September 1975

Numerical stability of relativistic beam multidimensional PIC simulations employing the Esirkepov algorithm journal, September 2013

Numerical instability due to relativistic plasma drift in EM-PIC simulations journal, November 2013

Modeling Laser Wakefield Accelerators in a Lorentz Boosted Frame conference, January 2010

Numerical methods for instability mitigation in the modeling of laser wakefield accelerators in a Lorentz-boosted frame journal, July 2011

Effects of hyperbolic rotation in Minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame journal, March 2011

Numerical simulations of laser wakefield accelerators in optimal Lorentz frames journal, May 2010

Suppressing the numerical Cherenkov instability in FDTD PIC codes journal, June 2014

Improved numerical Cherenkov instability suppression in the generalized PSTD PIC algorithm journal, November 2015

Numerical stability analysis of the pseudo-spectral analytical time-domain PIC algorithm journal, February 2014

Numerical Stability Improvements for the Pseudospectral EM PIC Algorithm journal, May 2014

Elimination of the numerical Cerenkov instability for spectral EM-PIC codes journal, July 2015

Mitigation of numerical Cerenkov radiation and instability using a hybrid finite difference-FFT Maxwell solver and a local charge conserving current deposit journal, December 2015

Novel methods in the Particle-In-Cell accelerator Code-Framework Warp journal, January 2012

Particle-in-Cell modelling of laser–plasma interaction using Fourier decomposition journal, March 2009

A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm journal, June 2016

Numerical growth of emittance in simulations of laser-wakefield acceleration journal, February 2013

Detailed analysis of the effects of stencil spatial variations with arbitrary high-order finite-difference Maxwell solver journal, March 2016

A domain decomposition method for pseudo-spectral electromagnetic simulations of plasmas journal, June 2013

Accurate modeling of plasma acceleration with arbitrary order pseudo-spectral particle-in-cell methods journal, March 2017

Efficient start-to-end 3D envelope modeling for two-stage laser wakefield acceleration experiments journal, October 2019

Numerical studies on electron beam quality optimization in a laser-driven plasma accelerator with external injection at SINBAD for ATHENA e journal, November 2019

Principles and capabilities of 3-D, E-M particle simulations
journal, November 1980

Particle simulation of plasmas
journal, April 1983

Plasma Physics via Computer Simulation
book, January 1991

Physics of laser-driven plasma-based electron accelerators
journal, August 2009

Noninvariance of Space- and Time-Scale Ranges under a Lorentz Transformation and the Implications for the Study of Relativistic Interactions
journal, March 2007

The Maximum Energy of Accelerated Particles in Relativistic Collisionless Shocks
journal, June 2013

Numerical Cherenkov instabilities in electromagnetic particle codes
journal, August 1974

Canonical momenta and numerical instabilities in particle codes
journal, September 1975

Numerical stability of relativistic beam multidimensional PIC simulations employing the Esirkepov algorithm
journal, September 2013

Numerical instability due to relativistic plasma drift in EM-PIC simulations
journal, November 2013

Modeling Laser Wakefield Accelerators in a Lorentz Boosted Frame
conference, January 2010

Numerical methods for instability mitigation in the modeling of laser wakefield accelerators in a Lorentz-boosted frame
journal, July 2011

Effects of hyperbolic rotation in Minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame
journal, March 2011

Numerical simulations of laser wakefield accelerators in optimal Lorentz frames
journal, May 2010

Suppressing the numerical Cherenkov instability in FDTD PIC codes
journal, June 2014

Improved numerical Cherenkov instability suppression in the generalized PSTD PIC algorithm
journal, November 2015

Numerical stability analysis of the pseudo-spectral analytical time-domain PIC algorithm
journal, February 2014

Numerical Stability Improvements for the Pseudospectral EM PIC Algorithm
journal, May 2014

Elimination of the numerical Cerenkov instability for spectral EM-PIC codes
journal, July 2015

Mitigation of numerical Cerenkov radiation and instability using a hybrid finite difference-FFT Maxwell solver and a local charge conserving current deposit
journal, December 2015

Novel methods in the Particle-In-Cell accelerator Code-Framework Warp
journal, January 2012

Particle-in-Cell modelling of laser–plasma interaction using Fourier decomposition
journal, March 2009

A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm
journal, June 2016

Numerical growth of emittance in simulations of laser-wakefield acceleration
journal, February 2013

Detailed analysis of the effects of stencil spatial variations with arbitrary high-order finite-difference Maxwell solver
journal, March 2016

A domain decomposition method for pseudo-spectral electromagnetic simulations of plasmas
journal, June 2013

Accurate modeling of plasma acceleration with arbitrary order pseudo-spectral particle-in-cell methods
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journal, October 2019

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