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

Understand

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.