scholarly journals Suppressing the numerical Cherenkov instability in FDTD PIC codes

2014 ◽  
Vol 267 ◽  
pp. 1-6 ◽  
Author(s):  
Brendan B. Godfrey ◽  
Jean-Luc Vay
Keyword(s):  
Cherenkov Instability

Cyclotron Cherenkov instability in a dielectric-loaded waveguide

1993 ◽  
Vol 101 (1-2) ◽  
pp. 100-112 ◽  
Author(s):  
Yoon-Hyoung Cho ◽  
Duk-In Choi ◽  
Jeong-Sik Choi
Keyword(s):  
Cherenkov Instability

Proposal of a new principle of cyclotron emission from neutralized electron beams

2007 ◽  
Vol 73 (4) ◽  
pp. 523-541 ◽  
Author(s):  
KAZUO MINAMI ◽  
YADUVENDRA CHOYAL ◽  
TSUGUHIRO WATANABE
Keyword(s):  
Electromagnetic Waves ◽  
Axial Magnetic Field ◽  
Angular Frequency ◽  
Particle Simulation ◽  
Axial Component ◽  
Restoring Force ◽  
Cyclotron Motion ◽  
Cyclotron Emission ◽  
Phenomenological Potential ◽  
Cherenkov Instability

AbstractRadiation from a loosely constrained cyclotron motion of mono-energetic electrons on a common large orbit (LO) circle in a uniform axial magnetic field and in a right-hand circularly polarized field of plane electromagnetic waves has been studied numerically by particle simulation. A restoring force caused by neutralizing ions against the displacements of gyrating electrons from the original LO circle is introduced by a phenomenological potential well in the radial direction. It is shown that, in high-density beams such as ωb2 ≫~Ω2, Cherenkov instability in the azimuthal direction with ω <~ω+Vzkz leads to the excitation of microwaves. Here, ωb, ~ω, ω, Vz and kz are, respectively, relativistic beam plasma frequency, relativistic electron cyclotron frequency, oscillation angular frequency, axial component of beam velocity and axial wavenumber.

scholarly journals Scalable spectral solver in Galilean coordinates for eliminating the numerical Cherenkov instability in particle-in-cell simulations of streaming plasmas

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Manuel Kirchen ◽  
Remi Lehe ◽  
Soeren Jalas ◽  
Olga Shapoval ◽  
Jean-Luc Vay ◽  
...  
Keyword(s):  
Particle In Cell ◽  
Cherenkov Instability

MODELLING OF QUASI‐CHERENKOV ELECTRON BEAM INSTABILITY IN PERIODICAL STRUCTURES

2005 ◽  
Vol 9 (1) ◽  
pp. 1-8
Author(s):  
K. Batrakov ◽  
S. Sytova
Keyword(s):  
Mathematical Model ◽  
Electron Beam ◽  
Numerical Method ◽  
Differential System ◽  
Numerical Experiments ◽  
Three Dimensional ◽  
Distributed Feedback ◽  
Beam Instability ◽  
Nonlinear Stage ◽  
Cherenkov Instability

Nonlinear stage of quasi‐Cherenkov instability of electron beam under conditions of two‐ and three‐dimensional distributed feedback is simulated. The scheme of distributed feedback with two strong coupled waves is considered. Mathematical model of quasi‐Cherenkov electron beam instability is proposed. Numerical method to solve the nonlinear integro‐differential system, describing such instability, is worked out. Results of numerical experiments are discussed. Modeliuojama elektronu spindulio kvazi‐Cherenkovo nestabilumo netiesine faze su dvimačio ir trimačio paskirstytojo grižtamojo ryšio salyga. Nagrinejama schema su grižtamuoju ryšiu su dviem susietomis stipriomis bangomis. Pateiktas kvazi‐Cherenkovo elektroninio spindulio nestabilumo matematinis modelis. Pasiūlytas veiksmingas skaitinis algoritmas, skirtas netiesinems integro‐diferencialinems lygčiu sistemoms su tokio tipo nestabilumu, spresti. Apžvelgti skaitinio eksperimento rezultai.

scholarly journals Elimination of numerical Cherenkov instability in flowing-plasma particle-in-cell simulations by using Galilean coordinates

2016 ◽  
Vol 94 (5) ◽  
Author(s):  
Remi Lehe ◽  
Manuel Kirchen ◽  
Brendan B. Godfrey ◽  
Andreas R. Maier ◽  
Jean-Luc Vay
Keyword(s):  
Plasma Particle ◽  
Particle In Cell ◽  
Flowing Plasma ◽  
Cherenkov Instability

scholarly journals Progress on 3+1D Glasma simulations

2020 ◽  
Vol 56 (9) ◽  
Author(s):  
Andreas Ipp ◽  
David I. Müller
Keyword(s):  
Energy Momentum Tensor ◽  
Heavy Ion ◽  
Laboratory Frame ◽  
Momentum Tensor ◽  
Particle In Cell ◽  
Ion Collisions ◽  
Pion Multiplicity ◽  
Colored Particle ◽  
Rapidity Dependence ◽  
Cherenkov Instability

Abstract We review our progress on 3+1D Glasma simulations to describe the earliest stages of heavy-ion collisions. In our simulations we include nuclei with finite longitudinal extent and describe the collision process as well as the evolution of the strongly interacting gluonic fields in the laboratory frame in 3+1 dimensions using the colored particle-in-cell method. This allows us to compute the 3+1 dimensional Glasma energy-momentum tensor, whose rapidity dependence can be compared to experimental pion multiplicity data from RHIC. An improved scheme cures the numerical Cherenkov instability and paves the way for simulations at higher energies used at LHC.

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