326 citations · 650 across the 9 of their papers we have counts for
9 papers
Elimination of Numerical Cherenkov Instability in flowing-plasma Particle-In-Cell simulations by using Galilean coordinates
Remi Lehe, Manuel Kirchen, Brendan B. Godfrey +2
Particle-In-Cell (PIC) simulations of relativistic flowing plasmas are of key interest to several fields of physics (including e.g. laser-wakefield acceleration, when viewed in a L…
Stable discrete representation of relativistically drifting plasmas
Manuel Kirchen, Remi Lehe, Brendan B. Godfrey +5
Representing the electrodynamics of relativistically drifting particle ensembles in discrete, co-propagating Galilean coordinates enables the derivation of a Particle-in-Cell algor…
A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm
Remi Lehe, Manuel Kirchen, Igor A. Andriyash +2
We propose a spectral Particle-In-Cell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have close-to-cyli…
Improved Numerical Cherenkov Instability Suppression in the Generalized PSTD PIC Algorithm
Brendan B. Godfrey, Jean-Luc Vay
The family of generalized Pseudo-Spectral Time Domain (including the Pseudo-Spectral Analytical Time Domain) Particle-in-Cell algorithms offers substantial versatility for simulati…
Review and Recent Advances in PIC Modeling of Relativistic Beams and Plasmas
Brendan B. Godfrey
Particle-in-Cell (PIC) simulation codes have wide applicability to first-principles modeling of multidimensional nonlinear plasma phenomena, including wake-field accelerators. This…
Suppressing the Numerical Cherenkov Instability in FDTD PIC Codes
Brendan B. Godfrey, Jean-Luc Vay
A procedure for largely suppressing the numerical Cherenkov instability in finite difference time-domain (FDTD) particle-in-cell (PIC) simulations of cold, relativistic beams is de…
Numerical Stability Improvements for the Pseudo-Spectral EM PIC Algorithm
Brendan B. Godfrey, Jean-Luc Vay, Irving Haber
The pseudo-spectral analytical time-domain (PSATD) particle-in-cell (PIC) algorithm solves the vacuum Maxwell's equations exactly, has no Courant time-step limit (as conventionally…
Numerical stability analysis of the Pseudo-Spectral Analytical Time-Domain PIC algorithm
Brendan B. Godfrey, Jean-Luc Vay, Irving Haber
The pseudo-spectral analytical time-domain (PSATD) particle-in-cell (PIC) algorithm solves the vacuum Maxwell's equations exactly, has no Courant time-step limit (as conventionally…
Numerical stability of relativistic beam multidimensional PIC simulations employing the Esirkepov algorithm
Brendan B. Godfrey, Jean-Luc Vay
Rapidly growing numerical instabilities routinely occur in multidimensional particle-in-cell computer simulations of plasma-based particle accelerators, astrophysical phenomena, an…