A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm
Plasma Physics
2016-05-04 v2
Abstract
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-cylindrical symmetry, this algorithm can be much faster than full 3D PIC algorithms. In addition, unlike standard finite-difference PIC codes, the proposed algorithm is free of numerical dispersion. This algorithm is benchmarked in several situations that are of interest for laser-plasma interactions. These benchmarks show that it avoids a number of numerical artifacts, that would otherwise affect the physics in a standard PIC algorithm - including the zero-order numerical Cherenkov effect.
Cite
@article{arxiv.1507.04790,
title = {A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm},
author = {Remi Lehe and Manuel Kirchen and Igor A. Andriyash and Brendan B. Godfrey and Jean-Luc Vay},
journal= {arXiv preprint arXiv:1507.04790},
year = {2016}
}
Comments
23 pages, 8 figures