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arXiv · 1507.04790

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

Remi Lehe·Manuel Kirchen·Igor A. Andriyash·Brendan B. Godfrey·Jean-Luc Vay
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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.

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Remi Lehe, Manuel Kirchen, Igor A. Andriyash, Brendan B. Godfrey, Jean-Luc Vay. 2015-07-16. A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm. https://doi.org/10.1016/j.cpc.2016.02.007

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